Graduate mathematical physics : with MATHEMATICA supplements

This up-to-date textbook on mathematical methods of physics is designed for a one-semester graduate or two-semester advanced undergraduate course. The formal methods are supplemented by applications that use MATHEMATICA to perform both symbolic and numerical calculations. The book is written by a physicist lecturer who knows the difficulties involved in applying mathematics to real problems. As many as 40 exercises are included at the end of each chapter. A student CD includes a basic introduction to MATHEMATICA, notebook files for each chapter, and solutions to selected exercises. * Free solutions manual available for lecturers at (http://www.wiley-vch.de/supplements/) www.wiley-vch.de/supplements/ 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 remarkable * Covers applications in all areas of engineering and the physical sciences. * Features numerous figures and worked-out examples throughout the text. * Presents mathematically advanced material in a readable form with few formal proofs. * Organizes topics pedagogically in - the order they will be most easily understood. * Provides end-of-chapter exercises. Mathematical Physics is an excellent text for upper-level undergraduate students 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. An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

This up-to-date textbook on mathematical methods of physics is designed for a one-semester graduate or two-semester advanced undergraduate course. The formal methods are supplemented by applications that use MATHEMATICA to perform both symbolic and numerical calculations.
The book is written by a physicist lecturer who knows the difficulties involved in applying mathematics to real problems. As many as 40 exercises are included at the end of each chapter. A student CD includes a basic introduction to MATHEMATICA, notebook files for each chapter, and solutions to selected exercises.

* Free solutions manual available for lecturers at www.wiley-vch.de/supplements/

Cover Page......Page 1 Title Page......Page 4 ISBN 3527406379......Page 5 Preface......Page 6 Contents......Page 7 Note to the Reader......Page 14 1 Analytic Functions......Page 16 2 Integration......Page 80 3 Asymptotic Series......Page 110 4 Generalized Functions......Page 126 5 Integral Transforms......Page 140 6 Analytic Continuation and Dispersion Relations......Page 206 7 Sturm–Liouville Theory......Page 238 8 Legendre and Bessel Functions......Page 282 9 Boundary-Value Problems......Page 342 10 Group Theory......Page 384 11 Bibliography......Page 474 Index......Page 476 This up-to-date book for graduates is written by a physicist who knows the difficulties inherent in applying mathematics to real problems, and has the solutions. As many as 40 exercises round off each chapter, with a solutions manual available. A CD with MATHEMATICA applets is enclosed. Bruce Kusse, Erik Westwig. A Wiley-interscience Publication. Includes Bibliographical References (p. 661) And Index.