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 ...

Gauss's law for electric fields Gauss's law for magnetic fields Faraday's law & the Ampere-Maxwell law are four of the most influential equations in science In this guide for students each equation is the subject of an entire chapter with detailed plain-language explanations of the physical meaning of each symbol in the equation for both the integral & differential forms The final chapter shows how Maxwell's equations may be combined to produce the wave equation the basis for the electromagnetic theory of light This book is a wonderful resource for undergraduate & graduate courses in electromagnetism & electromagnetics A website hosted by the author at wwwcambridgeorg 9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter ...

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 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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It is 1882 & the Old Ones are already here They arrived seven hundred years ago & have been ruling the planet ever since The majority of people just get on with their lives accepting their monstrous rulers However a growing band of revolutionaries wish to free mankind from their slavery These freedom fighters call themselves the Restorationists A secret war has already broken out between the Restorationists & the forces loyal to the Old Ones The invention of dynamite has changed the balance of power & a lone assassin now has the capacity to destroy an Old One In this shadow world of assassins informers police agents & anarchists nobody is quite sure who is who & which side they fight for The game A Study in Emerald draws its central plot from the award-winning short story penned by Neil Gaiman in which the worlds of Sherlock Holmes & HP Lovecraft are combined to telling effect However to create a world detailed enough for players much has been added from real history The nineteenth century was a time of unrest with many colorful characters fighting both for & against the authorities A Study in Emerald is the outcome of the merging of these three worlds This second edition of A Study in Emerald sports new artwork by Ian O& Toole & Tatiana Kuzilova along with a streamlined set of rules that will hopefully help those folks who found the first version a tad complicated Inconsistencies have been removed & the number of available actions has been reduced to the minimum whilst still retaining the mood of paranoia from the first edition ...

The Penguin English Library edition When Dr John Watson takes rooms in Baker Street with amateur detective Sherlock Holmes he has no idea that he is about to enter a shadowy world of criminality & violence Accompanying Holmes to an ill-omened house in south London Watson is startled to find a dead man whose face is contorted in a rictus of horror There is no mark of violence on the body yet a single word is written on the wall in blood Dr Watson is as baffled as the police but Holmes's brilliant analytical skills soon uncover a trail of murder revenge & lost love ...

All legends begin somewhere & the two novels here are where one of the world&s best-loved legends began In A Study in Scarlet Sherlock Holmes & Dr Watson first meet & investigate a seemingly impossible mystery that begins with a corpse in a deserted house In The Sign of the Four the detective faces an even greater challenge solving both the disappearance of Captain Arthur Morstan & the theft of the Agra treasure in India In this Macmillan Collector&s Library edition Sherlock scholar David Stuart Davies provides an illuminating afterword Designed to appeal to the booklover the Macmillan Collector&s Library is a series of beautiful special gift editions of much loved classic titles Macmillan Collector&s Library are books to love & treasure ...

With an Introduction by David Stuart Davies & Doctor Watson Mr Sherlock Holmes&
- The most famous introduction in the history of
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