Book Description:
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/.
Book Content:
Chapter 1 A Review of Vector and Matrix Algebra Using Subscript/Summation Conventions (pages 1–17):
Chapter 2 Differential and Integral Operations on Vector and Scalar Fields (pages 18–43):
Chapter 3 Curvilinear Coordinate Systems (pages 44–66):
Chapter 4 Introduction to Tensors (pages 67–99):
Chapter 5 The Dirac ??Function (pages 100–134):
Chapter 6 Introduction to Complex Variables (pages 135–218):
Chapter 7 Fourier Series (pages 219–249):
Chapter 8 Fourier Transforms (pages 250–302):
Chapter 9 Laplace Transforms (pages 303–338):
Chapter 10 Differential Equations (pages 339–423):
Chapter 11 Solutions to Laplace’s Equation (pages 424–490):
Chapter 12 Integral Equations (pages 491–508):
Chapter 13 Advanced Topics in Complex Analysis (pages 509–561):
Chapter 14 Tensors in Non?Orthogonal Coordinate Systems (pages 562–596):
Chapter 15 Introduction to Group Theory (pages 597–638):
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Mathematical Physics: Applied Mathematics for Scientists and Engineers
Author(s): Bruce R. Kusse, Erik A. Westwig
Series: Physics Textbook
Publisher: Wiley-VCH, Year: 2006
ISBN: 9783527406722
