Mathematical Physics: Applied Mathematics for Scientists and Engineers / Edition 2

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Overview

What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations. The book moves on to explain complex topics that often fall through the cracks in undergraduate programs, including the Dirac delta-function, multivalued complex functions using branch cuts, branch points and Riemann sheets, contravariant and covariant tensors, and an introduction to group theory. This expanded second edition contains a new appendix on the calculus of variation — a valuable addition to the already superb collection of topics on offer.
This is an ideal text for upper-level undergraduates in physics, applied physics, physical chemistry, biophysics, and all areas of engineering. It allows physics professors to prepare students for a wide range of employment in science and engineering and makes an excellent reference for scientists and engineers in industry. Worked out examples appear throughout the book and exercises follow every chapter. Solutions to the odd-numbered exercises are available for lecturers at www.wiley-vch.de/textbooks/.

"...an advanced undergraduate/first-year graduate text with a strong emphasis on applications in engineering and physical sciences...includes many worked-out examples and a large number of exercise problems at the ends of chapters."

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Editorial Reviews

From the Publisher
"Any lecturer on mathematical methods is also looking for worked examples and numerous exercises. This book passes these tests admirably. [...] In summary, a welcome addition to the good books in this area."
Australian PHYSICS
Booknews
Based on Kusse's course at Cornell University, a textbook for upper- level undergraduate students emphasizing the mathematical tools commonly used by scientists and engineers to solve real-world problems. Assumes elementary calculus and keeps the number of formal proofs and theorems to a minimum. Begins with basics such as vector and tensor algebra and curvilinear coordinate systems; then tackles topics more complex than are usually taught at the undergraduate level, such as the Dirac delta-function and branch points and Riemann sheets. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9783527406722
  • Publisher: Wiley
  • Publication date: 4/24/2006
  • Series: Physics Textbook Series
  • Edition description: 2ND
  • Edition number: 2
  • Pages: 689
  • Product dimensions: 6.77 (w) x 9.67 (h) x 1.40 (d)

Meet the Author

Bruce Kusse is Professor of Applied and Engineering Physics at Cornell University, where he has been teaching since 1970. He holds a PhD from the MIT in electrical engineering with a specialty in plasma physics.

Erik Westwig is a software engineer with Palisade Corporation, New Jersey. He holds an MS in applied physics from Cornell University.

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Table of Contents

1. A Review of Vector and Matrix Algebra Using Subscript/Summation Conventions
2. Differential and Integral Operations on Vector and Scalar Fields
3. Curvilinear Coordinate Systems
4. Introduction to Tensors
5. The Dirac Delta-Function
6. Introduction to Complex Variables
7. Fourier Series
8. Fourier Transforms
9. Laplace Transforms
10. Differential Equations
11. Solutions to Laplace's Equation
12. Integral Equations
13. Advanced Topics in Complex Analysis
14. Tensors in Non-Orthogonal Coordinate Systems
15. Introduction to Group Theory
A. The Levi-Civita Identitiy
B. The Curvilinear Curl
C. The Double Integral Identity
D. Green's Function Solutions
E. Pseudovectors and the Mirror Test
F. Christoffel Symbols and Covariant Derivatives
NEW APPENDIX: The Calculus of Variation

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