Mathematical Physics Problems

Mathematical Physics Problems - Mathematical Physics...

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Unformatted text preview: Mathematical Physics Problems David J. Jeffery Department of Physics University of Idaho Moscow, Idaho ♠ ♠ ♠ ♠ ♠ ♠ ♠ ♠ ♠ ♠ Portpentagram Publishing (self-published) 2008 January 1 Introduction Mathematical Physics Problems (MPP) is a source book for a mathematical physics course. The book is available in electronic form to instructors by request to the author. It is free courseware and can be freely used and distributed, but not used for commercial purposes. The problems are grouped by topics in chapters: see Contents below. The chapters correspond to the chapters of Weber & Arfken (2004). For each chapter there are two classes of problems: in order of appearance in a chapter they are: (1) multiple-choice problems and (2) full-answer problems. All the problems have will have complete suggested answers eventually. The answers may be the greatest benefit of MPP. The questions and answers can be posted on the web in pdf format. The problems have been suggested by mainy by Weber & Arfken (2004) and Arfken (1970), they all been written by me. Given that the ideas for problems are the common coin of the realm, I prefer to call my versions of the problems redactions. At the end of the book are three appendices. The first is an equation sheet suitable to give to students as a test aid and a review sheet. The next is a table of integrals. The last one is a set of answer tables for multiple choice questions. The first two appendices need to be updated for the mathematical physics course. They are still for an intro physics course. MPP is currently under construction and whether it will grow to adequate size depends on whether I have any chance to teach mathematical physics again. Everything is written in plain T E X in my own idiosyncratic style. The questions are all have codes and keywords for easy selection electronically or by hand. The keywords will be on the question code line with additional ones on the extra keyword line which may also have a reference for the problem A fortran program for selecting the problems and outputting them in quiz, assignment, and test formats is also available. Note the quiz, etc. creation procedure is a bit clonky, but it works. User instructors could easily construct their own programs for problem selection. I would like to thank the Department of Physics the University of Idaho for its support for this work. Thanks also to the students who helped flight-test the problems. Contents Chapters 1 Vector Analysis 2 Vector Analysis in Curved Coordinates and Tensors 3 4 5 6 Functions of a Complex Variable I 7 Functions of a Complex Variable II 8 9 Sturm-Liouville Theory: Orthogonal Functions 10 11 Appendices 1 Introductory Physics Equation Sheet 2 Table of Integrals 3 Multiple-Choice Problem Answer Tables References Adler, R., Bazin, M., & Schiffer, M. 1975, Introduction to General Relativity (New York: McGraw-Hill Book Company) (ABS) Arfken, G. 1970, Mathematical Methods for Physicists (New York: Academic Press) (Ar)...
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Mathematical Physics Problems - Mathematical Physics...

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