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Handbook of Sinc Numerical Methods
Handbook Of Sinc Numerical
Methods
    Helps in solving
    numerical problems in
    mathematics, computer
    science, and
    engineering. This book
    employs sinc methods by
    limiting details as to
    how or why these methods
    work. It is suitable to
    approximate various types
    of operation, from
    calculus to partial
    differential and integral
    equations.
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Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
Transmission Problems For
Elliptic Second-Order
Equations In Non-Smooth
Domains
    Aims to investigate the
    behavior of weak
    solutions to the elliptic
    transmission problem in a
    neighborhood of boundary
    singularities: angular
    and conic points or
    edges. This title deals
    with the eigenvalue
    problem for the
    m-Laplace-Beltrami
    operator. It covers the
    transmission problem in
    conic domains with N
    different media for an
    equation.
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Differential Equations and Mathematical Biology
Differential Equations And
Mathematical Biology
    Introduces the
    fundamental modeling and
    analytical techniques
    required to deepen
    understanding of
    biological phenomena.
    This text includes a
    section on spiral waves,
    developments in tumor
    biology, and covers the
    numerical solutions of
    different equations and
    numerical bifurcation
    analysis.
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Adaptive Control of Parabolic PDEs
Adaptive Control Of Parabolic
PDEs
    Introduces a
    comprehensive methodology
    for adaptive control
    design of parabolic
    partial differential
    equations with unknown
    functional parameters.
    This book emphasizes
    stabilization by boundary
    control and using
    boundary sensing for
    unstable PDE systems with
    an infinite relative
    degree.
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An Introduction to the Finite Element Method
An Introduction To The Finite
Element Method
    Helping students
    understand the concepts
    and applications, this
    book keeps to a minimum
    rigorous mathematical
    treatments and
    derivations. It describes
    each domain analysis with
    a consistent approach of
    finite element
    formulation and solution.
    It also includes simple
    examples to show students
    how to solve related
    problems.
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Boundary Value Problems
Boundary Value Problems
    Suitable for
    professionals and
    students in engineering,
    science, and mathematics
    who work with partial
    differential equations,
    this book focuses on
    boundary value problems
    and Fourier series. It
    offers an overview of
    solving boundary value
    problems involving
    partial differential
    equations by the methods
    of separation of
    variables.
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An Introduction to Delay Differential Equations with Applications to the Life Sciences
An Introduction To Delay
Differential Equations With
Applications To The Life
Sciences
    Based on the author's
    taught course at Arizona
    State University, this
    text focuses on the
    elements needed to
    understand the
    applications literature
    involving delay
    equations. It covers both
    the constructive and
    analytical mathematical
    models in the subject.
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An Introduction to Meshfree Methods and Their Programming
An Introduction To Meshfree
Methods And Their Programming
    Aiming to present
    meshfree methods, this
    work provides the
    fundamentals of numerical
    analysis that are
    important to meshfree
    methods. It introduces
    typical meshfree methods,
    such as EFG, RPIM,
    MLPG, LRPIM, MWS and
    collocation methods
    detailing the
    formulation, numerical
    implementation and
    programming.
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Finite Element Method
Finite Element Method
    The Finite Element Method
    (FEM) has become a kind
    of universal tool for
    solving various types of
    engineering problems.
    This book introduces the
    basics and foundation of
    the FEM, and provides
    the readers with an
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    method, including
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    application and
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Mathematical Modelling with Case Studies
Mathematical Modelling With
Case Studies
    Focusing on growth and
    decay processes,
    interacting populations,
    and heating/cooling
    problems, this book
    presents mathematical
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    models involving
    differential equations
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    change. It uses flow
    diagrams and word
    equations to aid in the
    model building process
    and to develop the
    mathematical equations.
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Stable Solutions of Elliptic Partial Differential Equations
Stable Solutions Of Elliptic
Partial Differential Equations
    Stable solutions are
    ubiquitous in
    differential equations.
    They represent meaningful
    solutions from a physical
    point of view and appear
    in many applications,
    including mathematical
    physics and geometry.
    This book offers a
    self-contained
    presentation of the
    notion of stability in
    elliptic partial
    differential equations
    (PDEs).
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Elementary Differential Equations with Boundary Value Problems
Elementary Differential
Equations With Boundary Value
Problems
    Integrates the underlying
    theory, the solution
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    numerical/computational
    aspects of differential
    equations in a seamless
    way. Whenever a new type
    of problem is introduced,
    this text begins with
    the basic
    existence-uniqueness
    theory. This provides the
    student the necessary
    framework to understand
    and solve differential
    equations.
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Complex Dynamics
Complex Dynamics
    This book discusses the
    properties of conformal
    mappings in the complex
    plane, a subject closely
    connected to the study of
    fractals and chaos.
    Focusing on analytic
    aspects of this
    contemporary topic, it
    includes a detailed study
    of the famous Mandelbrot
    set.
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Elementary Differential Equations and Boundary Value Problems
Elementary Differential
Equations And Boundary Value
Problems
    Focuses on the theory and
    practical applications of
    Differential Equations to
    engineering and the
    sciences. This book
    emphasises on the methods
    of solution, analysis,
    and approximation. It
    features historical
    footnotes that trace the
    development of the
    discipline and identify
    outstanding individual
    contributions.
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An Introduction to Ordinary Differential Equations
An Introduction To Ordinary
Differential Equations
    Ordinary differential
    equations serve as
    mathematical models for
    many exciting real world
    problems. This textbook
    organizes material around
    theorems and proofs,
    comprising of 42
    class-tested lectures
    that effectively convey
    the subject in easily
    manageable sections.
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Differential Equations: Application Systems & Functions
Differential Equations:
Application Systems &
Functions
    Presents and discusses
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    study of differential
    equations. This book
    covers topics that
    include pseudo almost
    automorphic solutions for
    some non-linear
    differential equations;
    positive solutions for
    p-laplacian dynamic delay
    differential equations on
    time scales; semi-linear
    fractional differential
    equations; and, more.
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Elementary Differential Equations and Boundary Value Problems
Elementary Differential
Equations And Boundary Value
Problems
    Written from the
    perspective of the
    applied mathematician,
    the latest edition of
    this bestselling book
    focuses on the theory and
    practical applications of
    Differential Equations to
    engineering and the
    sciences. Emphasis is
    placed on the methods of
    solution, analysis, and
    approximation.
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Partial Differential Equations in Economics and Finance
Partial Differential Equations
In Economics And Finance
    Reviews the basic theory
    of partial differential
    equations of the first
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    discusses their
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    and finance. This book
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    applications to consumer
    and producer theory, and
    to the theory of option
    pricing.
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Stability of Dynamical Systems
Stability Of Dynamical Systems
    Presents a comprehensive
    stability analysis of
    several major types of
    system models. This book
    demonstrates the
    applicability of the
    developed theory by means
    of many specific examples
    and applications to
    important classes of
    systems, including
    digital control systems,
    nonlinear regulator
    systems and
    pulse-width-modulated
    feedback control systems.
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Partial Differential Equations
Partial Differential Equations
    Partial differential
    equations are used to
    formulate and thus aid
    the solution of problems
    involving functions of
    several variables, such
    as the propagation of
    sound or heat,
    electrostatics,
    electrodynamics, fluid
    flow, and elasticity.
    This book presents
    research in the study of
    partial differential
    equations.
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Heat Kernels for Elliptic and Sub-elliptic Operators
Heat Kernels For Elliptic And
Sub-elliptic Operators
    With each methodology
    given its own chapter,
    this monograph is a
    thorough exploration of
    theories that can be used
    to find explicit formulas
    for heat kernels for both
    elliptic and sub-elliptic
    operators. The authors
    show just how diverse
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Differential Equations Workbook for Dummies
Differential Equations
Workbook For Dummies
    Helps students to get a
    hand at complex calculus
    problems. This book
    covers such topics as
    first-order and
    second-order differential
    equations, constant
    coefficients,
    undetermined
    coefficients, variation
    of parameters,
    initial-value problems,
    and the Laplace
    transform.
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Fourier Series and Numerical Methods for Partial Differential Equations
Fourier Series And Numerical
Methods For Partial
Differential Equations
    Unable to find a suitable
    coursebook for an
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    the author wrote one that
    combines the needed
    foundation and theory
    with tangible
    applications in physics
    and other disciplines.
    Since many practical
    applications are
    non-linear, numerical
    solution techniques are
    required.
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Fourier Series and Boundary Value Problems
Fourier Series And Boundary
Value Problems
    Gives an introduction to
    Fourier series and their
    applications to boundary
    value problems in partial
    differential equations of
    engineering and physics.
    This book presents the
    concept of orthogonal
    sets of functions and
    representations of
    arbitrary functions in
    series of functions from
    such sets.
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Differential Equations for Dummies
Differential Equations For
Dummies
    A differential equation
    involves an unknown
    function and its
    derivative. It is an
    important subject that
    lies in the heart of
    understanding calculus or
    analysis. Differential
    Equations For Dummies
    takes readers
    step-by-step through this
    intimidating subject.
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Numerical Approximation of Partial Differential Equations
Numerical Approximation Of
Partial Differential Equations
    Deals with the numerical
    approximation of partial
    differential equations.
    This work provides an
    illustration of numerical
    methods, carries out
    their stability and
    convergence analysis,
    derives error bounds,
    and discusses the
    algorithmic aspects
    relative to their
    implementation.
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Partial Differential Equations
Partial Differential Equations
    This book develops the
    important approaches to
    the existence and
    regularity of partial
    differential equations,
    in particular of elliptic
    (and parabolic) type,
    particularly those
    aspects and methods that
    are relevant not only for
    linear, but also for
    nonlinear equations.
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Partial Differential Equations
Partial Differential Equations
    Our understanding of the
    fundamental processes of
    the natural world is
    based to a large extent
    on partial differential
    equations (PDEs). The
    second edition of Partial
    Differential Equations
    provides an introduction
    to the basic properties
    of PDEs and the ideas and
    techniques that have
    proven useful in
    analyzing them.
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Partial Differential Equations
Partial Differential Equations
    This book develops the
    important approaches to
    the existence and
    regularity of partial
    differential equations,
    in particular of elliptic
    (and parabolic) type,
    particularly those
    aspects and methods that
    are relevant not only for
    linear, but also for
    nonlinear equations.
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Differential Equations with Boundary-Value Problems
Differential Equations With
Boundary-Value Problems
    Offers a balance between
    the analytical,
    qualitative, and
    quantitative approaches
    to the study of
    differential equations.
    Suitable for beginning
    engineering and math
    students, this title
    provides pedagogical
    aids, including an
    abundance of examples,
    explanations, Remarks
    boxes, definitions, and
    group projects.
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Numerical Solution of Hyperbolic Differential Equations
Numerical Solution Of
Hyperbolic Differential
Equations
    Presents the application
    of the method of
    characteristics for the
    numerical solution of
    hyperbolic type partial
    differential equations.
    This book focuses on the
    numerical solution of the
    Vlasov equation. It also
    presents examples with
    possible combination with
    fractional step methods
    in the case of several
    dimensions.
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Partial Differential Equations
Partial Differential Equations
    Offers an elementary
    introduction to partial
    differential equations
    (pdes), primarily
    focusing on linear
    equations, but also
    providing some
    perspective on nonlinear
    equations. This title
    includes an introduction
    to conservation laws,
    the uniqueness theorem,
    viscosity solutions,
    ill-posed problems, and
    nonlinear equations of
    first order.
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Generalized Functionals of Brownian Motion and Their Applications
Generalized Functionals Of
Brownian Motion And Their
Applications
    A research monograph that
    presents a unified theory
    of generalized
    functionals of Brownian
    motion and other
    fundamental processes
    such as fractional
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    process - covering the
    classical Wiener - Ito
    class including the
    generalized functionals
    of Hida as special cases,
    among others.
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Partial Differential Equations
Partial Differential Equations
    Builds upon the basic
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    Differential Equations
    (PDE). This title
    introduces analytical
    tools that include
    pseudodifferential
    operators, the
    functional analysis of
    self-adjoint operators,
    and Wiener measure. It
    develops basic
    differential geometrical
    concepts, centred about
    curvature.
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The Finite Element Method Set
The Finite Element Method Set
    Serves as a comprehensive
    reference on the finite
    element method for
    engineers and
    mathematicians. This set
    of three books provides
    coverage of the theory
    and the application of
    the universally used FEM.
    It covers the basis of
    the method, its
    application to solid
    mechanics and to fluid
    dynamics.
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Linear Differential Equations and Group Theory from Riemann to Poincare
Linear Differential Equations
And Group Theory From Riemann
To Poincare
    A study of how a
    particular vision of the
    unity of mathematics,
    often called geometric
    function theory, was
    created in the 19th
    century. It focuses on
    the convergence of three
    mathematical topics: the
    hypergeometric and
    related linear
    differential equations,
    group theory, and
    on-Euclidean geometry.
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Partial Differential Equations and Spectral Theory
Partial Differential Equations
And Spectral Theory
    In a clear, expository
    style, this book offers
    seven articles on topics
    at the frontier of
    partial differential
    equations and spectral
    theory. The authors
    discuss recent progress
    and share their views on
    future developments,
    hypotheses and unsolved
    problems.
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New Developments in Pseudo-differential Operators
New Developments In
Pseudo-differential Operators
    Consists of seventeen
    peer-reviewed papers
    related to lectures on
    pseudo-differential
    operators presented at
    the meeting of the ISAAC
    Group in
    Pseudo-Differential
    Operators (IGPDO) held at
    the Middle East Technical
    University in Ankara,
    Turkey on August 13-18,
    2007.
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Dynamical Systems Method and Applications
Dynamical Systems Method And
Applications
    Dynamical Systems Method
    (DSM) is a powerful
    general method for
    solving operator
    equations. These
    equations can be linear
    or nonlinear, well-posed
    or ill-posed. The book
    presents a systematic
    development of the DSM,
    and theoretical results
    are illustrated by a
    number of numerical
    examples, which are of
    independent interest.
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Partial Differential Equations III
Partial Differential Equations
III
    The third of three
    volumes on partial
    differential equations,
    this is devoted to
    nonlinear PDE. It treats
    a number of equations of
    classical continuum
    mechanics, including
    relativistic versions,
    as well as various
    equations arising in
    differential geometry.
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Inequalities for Differential Forms
Inequalities For Differential
Forms
    Presents a series of
    local and global
    estimates and
    inequalities for
    differential forms, in
    particular the ones that
    satisfy the A-harmonic
    equations. This work
    focuses on the
    Hardy-Littlewood,
    Poincare, Cacciooli,
    imbedded and reverse
    Holder inequalities. It
    is for researchers,
    instructors and graduate
    students.
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Generalized Bessel Functions of the First Kind
Generalized Bessel Functions
Of The First Kind
    This volume studies the
    generalized Bessel
    functions of the first
    kind by using a number of
    classical and new
    findings in complex and
    classical analysis. It
    presents interesting
    geometric properties and
    functional inequalities
    for these generalized
    functions.
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Introduction to Differential Calculus
Introduction To Differential
Calculus
    This book explores the
    differential calculus and
    its plentiful
    applications in
    engineering and the
    physical sciences. The
    first six chapters offer
    a refresher of algebra,
    geometry, coordinate
    geometry, trigonometry,
    the concept of function,
    etc. since these topics
    are vital to the complete
    understanding of
    calculus.
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Partial Differential Equations with Numerical Methods
Partial Differential Equations
With Numerical Methods
    Covers the integration of
    the theory of linear
    Partial Differential
    Equations and the
    numerical solution of
    such equations. For each
    type of PDE, elliptic,
    parabolic, and
    hyperbolic, this text
    contains chapters on the
    mathematical theory of
    the differential
    equation, finite
    difference methods, and
    finite element methods.
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Coimbra Lecture Notes on Orthogonal Polynomials
Coimbra Lecture Notes On
Orthogonal Polynomials
    Orthogonal Polynomials
    and Special Functions
    (OPSF) have a very rich
    history, going back to
    19th century when
    mathematicians and
    physicists tried to solve
    the important deferential
    equations of mathematical
    physics. This book
    presents the research in
    the field.
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Optimal Control of Coupled Systems of Partial Differential Equations
Optimal Control Of Coupled
Systems Of Partial
Differential Equations
    Contains contributions
    originating from the
    'Conference on Optimal
    Control of Coupled
    Systems of Partial
    Differential Equations',
    held at the
    'Mathematisches
    Forschungsinstitut
    Oberwolfach' in March
    2008. This work covers a
    range of topics such as
    controllability,
    optimality systems,
    model-reduction
    techniques, and
    fluid-structure
    interactions.
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Optimal Control of Distributed Systems with Conjugation Conditions
Optimal Control Of Distributed
Systems With Conjugation
Conditions
    Develops the methodology
    according to which
    classes of discontinuous
    functions are used in
    order to investigate a
    correctness of
    boundary-value and
    initial boundary-value
    problems for the cases
    with elliptic,
    parabolic, and
    hyperbolic equations.
    This monograph shows a
    continuous dependence of
    states of solutions to
    the boundary-value
    problems.
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Theory and Applications of Fractional Differential Equations
Theory And Applications Of
Fractional Differential
Equations
    Provides developments on
    fractional differential
    and fractional
    integro-differential
    equations involving many
    different potentially
    useful operators of
    fractional calculus. This
    book is application
    oriented and it contains
    the theory of Fractional
    Differential Equations.
    It provides problems and
    directions for further
    investigations.
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Abstract Parabolic Evolution Equations and Their Applications
Abstract Parabolic Evolution
Equations And Their
Applications
    This book offers an
    overview of the theories
    of linear, semilinear
    and quasilinear abstract
    parabolic evolution
    equations. It also shows
    how to apply the abstract
    results to various models
    in the real world
    focusing on various
    self-organization models.
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Approximation and Optimization of Discrete and Differential Inclusions
Approximation And Optimization
Of Discrete And Differential
Inclusions
    Optimal control theory
    has numerous applications
    in both science and
    engineering. This book
    presents basic concepts
    and principles of
    mathematical programming
    in terms of set-valued
    analysis and develops a
    comprehensive optimality
    theory of problems
    described by ordinary and
    partial differential
    inclusions.
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Analysis,  Partial Differential Equations and Applications
Analysis, Partial Differential
Equations And Applications
    Contains some of the
    invited lectures
    presented at the
    International Conference
    Analysis, PDEs and
    Applications, held in
    Rome in July 2008, and
    dedicated to Vladimir G
    Maz'ya on the occasion of
    his 70th birthday. This
    title present surveys as
    well as fresh results in
    the areas in which Maz'ya
    gave seminal
    contributions.
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Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations
Qualitative And Asymptotic
Analysis Of Differential
Equations With Random
Perturbations
    Differential equations
    with random perturbations
    are the mathematical
    models of real-world
    processes that cannot be
    described via
    deterministic laws, and
    their evolution depends
    on the random factors.
    This work focuses on the
    approach to stochastic
    equations from the
    perspective of ordinary
    differential equations.
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A First Course in Finite Elements
A First Course In Finite
Elements
    Focuses on the
    formulation and
    application of the finite
    element method through
    the integration of finite
    element theory, code
    development, and
    software application.
    This book offers homework
    problems at the end of
    each chapter. It is
    intended as an
    introductory course for
    undergraduate students
    from science and
    engineering disciplines.
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A First Course in Differential Equations with Modeling Applications
A First Course In Differential
Equations With Modeling
Applications
    Offers a balance between
    the analytical,
    qualitative, and
    quantitative approaches
    to the study of
    differential equations.
    Suitable for beginning
    engineering and math
    students, this title
    provides pedagogical
    aids, including an
    abundance of examples,
    explanations, Remarks
    boxes, definitions, and
    group projects.
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Approximation Theory XIII: San Antonio 2010
Approximation Theory XIII: San
Antonio 2010
    Contains the proceedings
    that were prepared in
    connection with the
    international conference
    Approximation Theory
    XIII, which was held
    March 7-10, 2010 in San
    Antonio, Texas. This
    book includes many
    relevant topics in
    approximation theory,
    such as abstract
    approximation,
    approximation with
    constraints, and
    interpolation and
    smoothing.
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Introduction to Stochastic Analysis and Malliavin Calculus
Introduction To Stochastic
Analysis And Malliavin
Calculus
    An introductory course on
    differential stochastic
    equations and Malliavin
    calculus. It is based on
    a series of courses
    delivered at the Scuola
    Normale Superiore di Pisa
    (and also at the Trento
    and Funchal
    Universities). It deals
    with the differential
    stochastic equations and
    their connection with
    parabolic problems.
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£16.14
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Mixed Integer Nonlinear Programming
Mixed Integer Nonlinear
Programming
    Mixed-integer nonlinear
    programming (MINLP) is
    one of the most flexible
    modeling paradigms
    available for
    optimization; but because
    its scope is so broad,
    in the most general cases
    it is hopelessly
    intractable. Nonetheless,
    an expanding body of
    researchers are
    interested in solving
    large-scale MINLP
    instances. This book
    deals with this topic.
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Non-Elliptic Partial Differential Equations
Non-Elliptic Partial
Differential Equations
    This book provides a
    readable description of a
    technique, developed
    years ago but still
    current, for proving
    that solutions to certain
    (non-elliptic) partial
    differential equations
    only have real analytic
    solutions when the data
    are real analytic
    (locally).
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Differential Equations
Differential Equations
    Presents the main
    concepts and results of
    one of the most
    fascinating branches of
    modern mathematics,
    namely differential
    equations, and offers
    the reader another point
    of view concerning a
    possible way to approach
    the problems of
    existence, uniqueness,
    approximation, and
    continuation of the
    solutions to a Cauchy
    problem.
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Differential Equations
Differential Equations
    Incorporating an
    innovative modeling
    approach, this book
    emphasizes conceptual
    understanding to help
    users relate information
    taught in the classroom
    to real-world
    experiences. It lets
    users discover how to
    identify and harness the
    mathematics they can use
    in their careers, and
    apply it effectively
    outside the classroom.
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Differential Equations
Differential Equations
    Enables a student with
    some basic knowledge of
    calculus to learn about
    differential equations
    and appreciate their
    applications. This book
    focuses on first order
    differential equations,
    their methods of solution
    and their use in
    mathematical models. It
    teaches the necessary
    techniques of solving
    first order differential
    equations.
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Differential Equations
Differential Equations
    Intended for mainstream
    one- or two-semester
    differential equations
    courses taken by
    undergraduates majoring
    in engineering,
    mathematics, and the
    sciences. Written by two
    of the world's leading
    authorities on
    differential equations,
    this book provides an
    introduction to ordinary
    differential equations
    written in classical
    style.
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£38.69
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Evolution Equations
Evolution Equations
    Presents and discusses
    the developments in the
    study of evolution
    equations. This book
    covers topics that
    include a qualitative
    study of a perturbed
    critical semi-linear wave
    equation in variable
    metric; renormalised
    solution for a non-linear
    anisotropic degenerate
    parabolic equation;
    periodic solutions of
    impulsive evolution
    equations; and, more.
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Landau-lifshitz Equations
Landau-lifshitz Equations
    Gives an introduction to
    Landau-Lifshitz equations
    and
    Landau-Lifshitz-Maxwell
    equations, beginning
    with the work by Yulin
    Zhou and Boling Guo in
    the early 1980s. This
    book is suitable for
    those who are interested
    in partial differential
    equations, geometric
    analysis and mathematical
    physics. It may also be
    used as an advanced
    textbook.
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£73.10
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Nonlinear Ordinary Differential Equations: Problems and Solutions
Nonlinear Ordinary
Differential Equations:
Problems And Solutions
    An ideal companion to the
    student textbook
    Nonlinear Ordinary
    Differential Equations
    4th Edition (OUP, 2007)
    this text contains over
    500 problems and
    solutions in nonlinear
    differential equations,
    many of which can be
    adapted for independent
    coursework and
    self-study.
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£24.30
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Nonlinear Mechanics,  Groups and Symmetry
Nonlinear Mechanics, Groups
And Symmetry
    Deals with the
    development of asymptotic
    methods of perturbation
    theory, making use of
    group-theoretical
    techniques. This book
    investigates several
    assumptions about
    specific group properties
    that lead to
    modifications of existing
    methods, such as the
    Bogoliubov averaging
    method and the Poincare -
    Birkhoff normal form.
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Nonlinear Ordinary Differential Equations
Nonlinear Ordinary
Differential Equations
    Thoroughly updated and
    expanded 4th edition of
    the classic text,
    including numerous worked
    examples, diagrams and
    exercises. An ideal
    resource for students and
    lecturers in engineering,
    mathematics and the
    sciences it is published
    alongside a separate
    Problems and Solutions
    Sourcebook containing
    over 500 problems and
    fully-worked solutions.
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Nonlinear Oscillations of Hamiltonian PDEs
Nonlinear Oscillations Of
Hamiltonian PDEs
    Presents the existence
    results of nonlinear
    oscillations of
    Hamiltonian PDEs,
    particularly of periodic
    solutions for completely
    resonant nonlinear wave
    equations. This title
    provides an introduction
    to classical
    finite-dimensional
    dynamical system theory,
    including the
    Weinstein-Moser and
    Fadell-Rabinowitz
    bifurcation results.
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Modeling by Nonlinear Differential Equations
Modeling By Nonlinear
Differential Equations
    Offers mathematical
    analyses of nonlinear
    differential equations,
    which have proved pivotal
    to understanding many
    phenomena in physics,
    chemistry and biology.
    This focuses on topics
    such as nonlinear
    oscillations,
    deterministic chaos,
    solitons,
    reaction-diffusion-driven
    chemical pattern
    formation, neuron
    dynamics and
    autocatalysis.
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Ordinary Differential Equations with Applications to Mechanics
Ordinary Differential
Equations With Applications To
Mechanics
    Bridges between the
    mathematical and the
    technical disciplines.
    This work sets the
    mathematical model,
    emphasizing on the
    physical magnitude
    playing the part of the
    unknown function and on
    the other hand the laws
    of mechanics that lead to
    an ordinary differential
    equation or system.
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Ordinary Differential Equations in Theory and Practice
Ordinary Differential
Equations In Theory And
Practice
    Ordinary differential
    equations play an
    important role in many
    problems in mathematics,
    engineering, physics and
    other applied sciences.
    This book covers
    analytical and numerical
    aspects of the study of
    ODEs in combination with
    practical models and
    emphasizes initial value
    problems.
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Difference Methods for Singular Perturbation Problems
Difference Methods For
Singular Perturbation Problems
    Focuses on the
    development of robust
    difference schemes for
    wide classes of boundary
    value problems. This book
    explores boundary value
    problems for elliptic and
    parabolic
    reaction-diffusion and
    convection-diffusion
    equations in
    n-dimensional domains
    with smooth and
    piecewise-smooth
    boundaries.
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£69.28
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Adaptive Moving Mesh Methods
Adaptive Moving Mesh Methods
    This book covers adaptive
    mesh generation and
    moving mesh methods for
    solving time-dependent
    PDEs. It gives a general
    description of the
    components of moving mesh
    methods as well as
    examples of their
    application for a number
    of nontrivial physical
    problems.
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Parameter Estimation and Inverse Problems
Parameter Estimation And
Inverse Problems
    Structured around a
    course at New Mexico Tech
    and is designed to be
    accessible to typical
    graduate students in the
    physical sciences who may
    not have an extensive
    mathematical background,
    this title includes three
    appendices for review of
    linear algebra and
    crucial concepts in
    statistics.
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£56.72
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Dual Sets of Envelopes and Characteristic Regions of Quasi-Polynomials
Dual Sets Of Envelopes And
Characteristic Regions Of
Quasi-Polynomials
    Existence and
    nonexistence of roots of
    functions involving one
    or more parameters has
    been the subject of
    numerous investigations.
    This book presents a
    formal theory of the
    Cheng-Lin envelope
    method. It is suitable
    for college students who
    want to see immediate
    applications of what they
    learn in Calculus.
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Navier-Stokes Equations
Navier-Stokes Equations
    The Navier-Stokes
    equations are one of the
    pillars of fluid
    mechanics. These
    equations are useful
    because they describe the
    physics of many things of
    academic and economic
    interest. This book
    presents contributions on
    the application of
    Navier-Stokes in some
    engineering applications
    and describes how the
    Navier-Stokes equations
    can be scaled.
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£99.44
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Geometric Numerical Integration
Geometric Numerical
Integration
    Deals with numerical
    methods that preserve
    properties of Hamiltonian
    systems, reversible
    systems, differential
    equations on manifolds
    and problems with highly
    oscillatory solutions.
    This title presents the
    theory of symplectic and
    symmetric methods, which
    include Runge-Kutta,
    composition, splitting,
    multistep and specially
    designed integrators.
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£50.14
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An Introduction to Computation and Modeling for Differential Equations
An Introduction To Computation
And Modeling For Differential
Equations
    Offers an introduction to
    scientific computing for
    differential equations.
    This book provides a
    unified and integrated
    view of numerical
    analysis, mathematical
    modeling in applications,
    and programming to solve
    differential equations,
    which is essential in
    problem-solving across
    many disciplines, such
    as engineering, physics,
    and economics.
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£50.02
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Pseudo-Differential Operators and Symmetries
Pseudo-Differential Operators
And Symmetries
    Traditionally, the
    theory of
    pseudo-differential
    operators was introduced
    in the Euclidean setting
    with the aim of tackling
    a number of important
    problems in analysis and
    in the theory of partial
    differential equations.
    This book presents a
    monograph that develops a
    global quantization
    theory of
    pseudo-differential
    operators on compact Lie
    groups.
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Second Order Differential Equations
Second Order Differential
Equations
    This comprehensive review
    of the theory includes
    sample problems and a new
    technique for analyzing
    the asymptomatic behavior
    of differential equation
    solutions. It shows how
    to solve second-order
    differential equations,
    and how to systematically
    classify them.
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£38.24
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Extrema of Non-Local Functionals and Boundary Value Problems for Functional Differential Equations
Extrema Of Non-Local
Functionals And Boundary Value
Problems For Functional
Differential Equations
    The non-local functional
    is an integral with the
    integrand depending on
    the unknown function at
    different values of the
    argument. It has
    applications in physics,
    engineering and sciences.
    This book is dedicated to
    study of variational
    calculus for non-local
    functionals and to theory
    of boundary value
    problems for functional
    differential equations.
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£59.60
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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
Large Time Asymptotics For
Solutions Of Nonlinear Partial
Differential Equations
    A large number of
    physical phenomena are
    modeled by nonlinear
    partial differential
    equations, subject to
    appropriate
    initial/boundary
    conditions. This title
    presents the constructive
    mathematical techniques.
    It deals with the
    asymptotic methods which
    include self-similarity,
    balancing argument, and
    matched asymptotic
    expansions.
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Trends in Evolution Equation Research
Trends In Evolution Equation
Research
    Presents research from
    around the world on the
    theory and methods of
    linear or non-linear
    evolution equations as
    well as their further
    applications. This book
    includes equations
    dealing with the
    asymptotic behaviour of
    solutions to evolution
    equations.
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£51.75
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Partial Differential Equations
Partial Differential Equations
    Presents an introduction
    to the ideas, phenomena,
    and methods of partial
    differential equations.
    This book discusses
    topics such as elliptic,
    hyperbolic, and
    parabolic equations, the
    energy method, maximum
    principle, and the
    Fourier Transform. It
    also features many
    historical and scientific
    motivations and
    applications.
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£51.29
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Semiclassical Analysis,  Witten Laplacians and Statistical Mechanics
Semiclassical Analysis, Witten
Laplacians And Statistical
Mechanics
    An explanation of how the
    technique of Witten
    Laplacians may be useful
    in statistical mechanics.
    It considers the problem
    of analyzing the decay of
    correlations, after
    presenting its origin in
    statistical mechanics.
    The author also compares
    the Witten Laplacian
    approach with other
    techniques.
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£44.00
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Schaum
Schaum's Outline Of
Differential Equations
    Includes examples,
    solved problems, and
    practice exercises to
    test skills. This book
    offers: practice problems
    with explanations that
    reinforce knowledge;
    coverage of various
    developments in the
    course field; and review
    of practices and
    applications.
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£8.99
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Differential Equations,  Dynamical Systems and an Introduction to Chaos
Differential Equations,
Dynamical Systems And An
Introduction To Chaos
    Covers the dynamical
    aspects of ordinary
    differential equations
    and explores the
    relations between
    dynamical systems and
    certain fields outside
    pure mathematics. This
    book includes bifurcation
    theory throughout and
    contains numerous
    explorations for students
    to embark upon. It
    features a simplified
    treatment of linear
    algebra.
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£53.10
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Ordinary Differential Equations
Ordinary Differential
Equations
    Emphasises on the
    qualitative and geometric
    properties of Ordinary
    Differential Equations
    (ODEs) and their
    solutions. This book
    includes material on
    exponential growth,
    predator-prey, the
    pendulum, impulse
    response, symmetry
    groups and group actions,
    perturbation and
    bifurcation.
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£33.99
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Sparse and Redundant Representations
Sparse And Redundant
Representations
    This book introduces
    sparse and redundant
    representations with a
    focus on applications in
    signal and image
    processing. It details
    mathematical modeling for
    signal sources along with
    how to use the model for
    tasks such as denoising,
    restoration and
    separation.
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£45.89
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From Calculus to Chaos
From Calculus To Chaos
    What is calculus really
    for? It helps tell us how
    and why things change
    with time. This
    illustrated introduction
    to dynamics aims to
    inspire the interest and
    enthusiasm of students
    embarking on a course of
    mathematical study. It
    explains why the
    mathematics which
    students learn is useful,
    by exploring the central
    ideas of calculus and
    dynamics.
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£27.55
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Ordinary Differential Equations
Ordinary Differential
Equations
    Contains seven survey
    papers about ordinary
    differential equations.
    This title consists
    papers that features
    focusing on nonlinear
    equations. It is suitable
    for mathematical
    community and also other
    scientists interested in
    and using the
    mathematical apparatus of
    ordinary differential
    equations.
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£155.00
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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane
Elliptic Partial Differential
Equations And Quasiconformal
Mappings In The Plane
    Explores developments in
    the theory of planar
    quasiconformal mappings
    with a focus on the
    interactions with partial
    differential equations
    and nonlinear analysis.
    This book presents a
    modern approach to the
    classical theory and
    features applications
    across a spectrum of
    mathematics such as
    dynamical systems and
    singular integral
    operators.
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£47.20
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Progress in Evolution Equations
Progress In Evolution
Equations
    Presents research from
    around the world on the
    theory and methods of
    linear and non-linear
    evolution equations, as
    well as their further
    applications. This book
    includes the asymptotic
    behaviour of solutions to
    evolution equations. It
    also includes other
    non-linear differential
    equations and
    applications to natural
    sciences.
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£51.75
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Generalized Ordinary Differential Equations
Generalized Ordinary
Differential Equations
    Provides a systematic
    treatment of the Volterra
    integral equation by
    means of a modern
    integration theory which
    extends considerably the
    field of differential
    equations. This book
    contains many new
    concepts and results in
    the framework of a
    unifying theory. In
    particular, this new
    approach is suitable in
    situations where fast
    oscillations occur.
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£27.00
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Pseudo-Differential Operators
Pseudo-Differential Operators
    Based on the ISAAC Group
    in Pseudo-Differential
    Operators (IGPDO) held at
    Imperial College London,
    this volume provides
    pseudo-differential
    operators. Topics include
    the analysis,
    applications and
    computations of
    pseudo-differential
    operators in mathematics.
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£78.62
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Traveling Wave Analysis of Partial Differential Equations
Traveling Wave Analysis Of
Partial Differential Equations
    Provides a set of
    numerical and analytical
    methods based on the
    concept of a traveling
    wave, with a central
    feature of conversion of
    the PDEs to ODEs. This
    title includes a spectrum
    of applications in
    science, engineering,
    applied mathematics. It
    presents a combination of
    numerical and analytical
    methods.
Availability: In Stock
£45.56
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