A Student's Guide to Vectors and Tensors

A Student's Guide to Vectors and Tensors

Author: Daniel A. Fleisch

Publisher: Cambridge University Press

Published: 2011-09-22

Total Pages: 206

ISBN-13: 9780521171908

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Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and 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.


A Student's Guide to the Mathematics of Astronomy

A Student's Guide to the Mathematics of Astronomy

Author: Daniel Fleisch

Publisher: Cambridge University Press

Published: 2013-08-29

Total Pages: 209

ISBN-13: 1107034949

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Plain-language explanations and a rich set of supporting material help students understand the mathematical concepts and techniques of astronomy.


Vectors, Tensors and the Basic Equations of Fluid Mechanics

Vectors, Tensors and the Basic Equations of Fluid Mechanics

Author: Rutherford Aris

Publisher: Courier Corporation

Published: 2012-08-28

Total Pages: 322

ISBN-13: 048613489X

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Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.


A Student's Guide to Maxwell's Equations

A Student's Guide to Maxwell's Equations

Author: Daniel Fleisch

Publisher: Cambridge University Press

Published: 2008-01-10

Total Pages: 129

ISBN-13: 1139468472

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Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and 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 and 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 and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.


Tensor Calculus for Physics

Tensor Calculus for Physics

Author: Dwight E. Neuenschwander

Publisher: JHU Press

Published: 2015

Total Pages: 244

ISBN-13: 142141564X

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It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"


A Student's Guide to the Schrödinger Equation

A Student's Guide to the Schrödinger Equation

Author: Daniel A. Fleisch

Publisher: Cambridge University Press

Published: 2020-02-20

Total Pages: 237

ISBN-13: 1108834736

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A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.


A Student's Guide to Vectors and Tensors

A Student's Guide to Vectors and Tensors

Author: Daniel A. Fleisch

Publisher: Cambridge University Press

Published: 2011-09-22

Total Pages: 208

ISBN-13: 1139503944

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Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and 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.


A Student's Guide to Entropy

A Student's Guide to Entropy

Author: Don S. Lemons

Publisher: Cambridge University Press

Published: 2013-08-29

Total Pages: 195

ISBN-13: 1107470048

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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, and a statistical thermodynamics approach to the ideal Fermi and ideal Bose gases. Derivations are worked through step-by-step and 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, and list of books for further study. It is an ideal supplement to undergraduate courses in physics, engineering, chemistry and mathematics.


A Student's Guide to Waves

A Student's Guide to Waves

Author: Daniel Fleisch

Publisher: Cambridge University Press

Published: 2015-04-09

Total Pages: 231

ISBN-13: 1107054869

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Written to complement course textbooks, this book focuses on the topics that undergraduates in physics and engineering find most difficult.


A Student's Guide to Laplace Transforms

A Student's Guide to Laplace Transforms

Author: Daniel Fleisch

Publisher: Cambridge University Press

Published: 2022-01-13

Total Pages: 221

ISBN-13: 1009098497

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Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.