This introduction to dimensional analysis covers the methods history & formalisation of the field & provides physics & engineering applications Covering topics from mechanics hydro- & electrodynamics to thermal & quantum physics it illustrates the possibilities & limitations of dimensional analysis Introducing basic physics & fluid engineering topics through the mathematical methods of dimensional analysis this book is perfect for students in physics engineering & mathematics Explaining potentially unfamiliar concepts such as viscosity & diffusivity the text

Includes:: worked examples & end-of-chapter problems with answers provided in an accompanying appendix which help make it ideal for self-study Long-standing methodological problems arising in popular presentations of dimensional analysis are also identified & solved making the book a useful text for advanced students & professionals

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An enormously accessible account of the key philosophical ideas that have informed geographical research A complete student guide to the theories methodologies & histories of both human & physical geography 280 pages Couper Pauline ...

A student's maths workbook for Class 7 (age 13-14) with room for working covering all essential topics for that year 112 pages York Jamie ...

Striving to explore the subject in as simple a manner as possible this book helps readers understand the elusive concept of entropy Innovative aspects of the book include the construction of statistical entropy from desired properties the derivation of the entropy of classical systems from purely classical assumptions & a statistical thermodynamics approach to the ideal Fermi & ideal Bose gases Derivations are worked through step-by-step & important applications are highlighted in over 20 worked examples Around 50 end-of-chapter exercises test readers' understanding The book also features a glossary giving definitions for all essential terms a time line showing important developments & list of books for further study It is an ideal supplement to undergraduate courses in physics engineering chemistry & mathematics ...

A concise but rigorous treatment of variational techniques focussing primarily on Lagrangian & Hamiltonian systems this book is ideal for physics engineering & mathematics students The book begins by applying Lagrange's equations to a number of mechanical systems It introduces the concepts of generalized coordinates & generalized momentum Following this the book turns to the calculus of variations to derive the Euler-Lagrange equations It introduces Hamilton's principle & uses this throughout the book to derive further results The Hamiltonian Hamilton's equations canonical transformations Poisson brackets & Hamilton-Jacobi theory are considered next The book concludes by discussing continuous Lagrangians & Hamiltonians & how they are related to field theory Written in clear simple language & featuring numerous worked examples & exercises to help students master the material this book is a valuable supplement to courses in mechanics ...

Python is a computer programming language that is rapidly gaining popularity throughout the sciences A Student's Guide to Python for Physical Modeling aims to help you the student teach yourself enough of the Python programming language to get started with physical modeling You will learn how to install an open-source Python programming environment & use it to accomplish many common scientific computing tasks importing exporting & visualizing data; numerical analysis; & simulation No prior programming experience is assumed This tutorial focuses on fundamentals & introduces a wide range of useful techniques including Basic Python programming & scripting Numerical arrays Two- & three-dimensional graphics Monte Carlo simulations Numerical methods including solving ordinary differential equations Image processing Animation Numerous code samples & exercises--with solutions--illustrate new ideas as they are introduced Web-based resources also accompany this guide & include code samples data sets & more ...

The study of astronomy offers an unlimited opportunity for us to gain a deeper understanding of our planet the Solar System the Milky Way Galaxy & the known Universe Using the plain-language approach that has proven highly popular in Fleisch's other Student's Guides this book is ideal for non-science majors taking introductory astronomy courses The authors address topics that students find most troublesome on subjects ranging from stars & light to gravity & black holes Dozens of fully worked examples & over 150 exercises & homework problems help readers get to grips with the concepts in each chapter An accompanying website features a host of supporting materials including interactive solutions for every exercise & problem in the text & a series of video podcasts in which the authors explain the important concepts of every section of the book ...

Vectors & tensors are among the most powerful problem-solving tools available with applications ranging from mechanics & electromagnetics to general relativity Understanding the nature & application of vectors & tensors is critically important to students of physics & engineering Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations Fleisch explains vectors & tensors in plain language Written for undergraduate & beginning graduate students the book provides a thorough grounding in vectors & vector calculus before transitioning through contra & covariant components to tensors & their applications Matrices & their algebra are reviewed on the book's supporting website which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once Audio podcasts give students the opportunity to hear important concepts in the book explained by the author ...

This groundbreaking undergraduate textbook on modern Standard English grammar is the first to be based on the revolutionary advances of the authors' previous work The Cambridge Grammar of the English Language (2002) The analyses defended there are outlined here more briefly in an engagingly accessible & informal style Errors of the older tradition of English grammar are noted & corrected & the excesses of prescriptive usage manuals are firmly rebutted in specially highlighted notes that explain what older authorities have called 'incorrect' & show why those authorities are mistaken This book is intended for students in colleges or universities who have little or no previous background in grammar & presupposes no linguistics It contains exercises & will provide a basis for introductions to grammar & courses on the structure of English not only in linguistics departments but also in English language & literature departments & schools of education ...

This comprehensive student manual has been designed to accompany the leading textbook by Bernard Schutz A First Course in General Relativity & uses detailed solutions cross-referenced to several introductory & more advanced textbooks to enable self-learners undergraduates & postgraduates to master general relativity through problem solving The perfect accompaniment to Schutz's textbook this manual guides the reader step-by-step through over 200 exercises with clear easy-to-follow derivations It provides detailed solutions to almost half of Schutz's exercises &

Includes:: 125 brand new supplementary problems that address the subtle points of each chapter It

Includes:: a comprehensive index & collects useful mathematical results such as transformation matrices & Christoffel symbols for commonly studied spacetimes in an appendix Supported by an online table categorising exercises a Maple worksheet & an instructors' manual this text provides an invaluable resource for all students & instructors using Schutz's textbook



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