What can a physicist gain by studying mathematics? By gathering together everything a physicist needs to know about mathematics in one comprehensive and accessible guide, this is the question Mathematics for Physics and Physicists successfully takes on.
The author, Walter Appel, is a renowned mathematics educator hailing from one of the best schools of France's prestigious Grandes écoles, where he has taught some of his country's leading scientists and engineers. In this unique book, oriented specifically toward physicists, Appel shows graduate students and researchers the vital benefits of integrating mathematics into their study and experience of the physical world. His approach is mathematically rigorous yet refreshingly straightforward, teaching all the math a physicist needs to know above the undergraduate level. Appel details numerous topics from the frontiers of modern physics and mathematics--such as convergence, Green functions, complex analysis, Fourier series and Fourier transform, tensors, and probability theory--consistently partnering clear explanations with cogent examples. For every mathematical concept presented, the relevant physical application is discussed, and exercises are provided to help readers quickly familiarize themselves with a wide array of mathematical tools.
Mathematics for Physics and Physicists is the resource today's physicists must have to strengthen their math skills and to gain otherwise unattainable insights into their fields of study.
"Throughout the book Appel maintains a nice balance between rigorous mathematics and physical applications."--William J. Satzer, MAA Review
"The majority of applied mathematical fields presently require so much specialization that mathematics often takes a back seat to the particular field of study. This book not only contains a great deal of the mathematics necessary to seriously study physics but also encourages physicists and potential physicists to embrace mathematics."--J.T. Zerger, Choice
"Walter Appel, a theoretical physicist and mathematics educator who currently teaches mathematics at the Henri Poincaré School in France, seeks in his book--appearing here in translation--to cover all the mathematics that a physicist requires above undergraduate level, including recent topics such as convergence, Green functions and Fourier series, as well as offering biographical sketches of mathematicians and problem sets."--Times Higher Education
"There is a law, if not a physical law, that ensures that whenever one is using a standard mathematical technique for a physical problem it is always the special case or a first principles argument that is required. Nothing is straightforward! For such a situation this book is ideal. It presents clear definitions and the rationale for such definitions. The style of the book is very readable and an interesting biographical asides of the mathematicians associated with the topics provide light relief from the depth of the the analysis. The book is both a valuable reference book and is a good pedagogic treatment of mathematical physics. It is a book that should be on many bookshelves."--Brian L. Burrows, Zentralblatt Math
Table of Contents