Mathematics for Physicists (Dover Books on Physics) by Philippe Dennery (PDF)

Description

“A fine example of how to present ‘classical’ physical mathematics.” — American ScientistWritten for advanced undergraduate and graduate students, this volume provides a thorough background in the mathematics needed to understand today’s more advanced topics in physics and engineering. Without sacrificing rigor, the authors develop the theoretical material at length, in a highly readable, and, wherever possible, in an intuitive manner. Each abstract idea is accompanied by a very simple, concrete example, showing the student that the abstraction is merely a generalization from easily understood specific cases. The notation used is always that of physicists. The more specialized subjects, treated as simply as possible, appear in small print; thus, it is easy to omit them entirely or to assign them to the more ambitious student.Among the topics covered are the theory of analytic functions, linear vector spaces and linear operators, orthogonal expansions (including Fourier series and transforms), theory of distributions, ordinary and partial differential equations and special functions: series solutions, Green’s functions, eigenvalue problems, integral representations. “An outstandingly complete collection of mathematical material of wide application in physics . . . invaluable to the reader intent on increasing his knowledge of the mathematical theories and techniques underlying physics.” — Applied Optics

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a great and somewhat unique text on Mathematical Physics. I basically learnt the theories of analytic functions and linear vector spaces from this book, with no prior knowledge of the subjects. But beware, the material presented becomes gradually less complete as the book progresses, as the authors point out in the preface. For example, they begin to state theorems without their proofs and narrow down what results are included. For this reason I probably would not recommend this book as a means of learning the topics of the last two chapters (namely, chapters 3 and 4), though they make for fine supplementary reading. Now, for the important question of rigour. This book is wholly about Mathematics, not Physics (there are, however, a section of 4 pages on applications of conformal mapping to Electrostatics and a few other such sections), and its level of rigour is probably higher than the typical Mathematical Physics text. But how does it compare with the requirements of a Mathematics text? I think that it lacks in some areas (e.g. contour integration and operators in infinite-dimensional spaces) which is not suprising given that the book’s prerequisites are only Calculus, Vector Analysis, and systems of Algebraic Equations (e.g. not including plane set topology). Nevertheless, it will serve well any undergraduate theoretical physicist who needs to know the necessary mathematics yet has little time to study the topics in their most general and rigorous form (though I strongly believe that no theoretical physicist should be content with a semi-rigorous understanding of the mathematics they use, though the rigorous understanding may very unfortunately have to wait). As for the style of presentation, I say it is slightly too brief, but I no longer view this as a defect. Furthermore, there are a few typographical errors in this edition, but they are tolerable. All in all, this is a great book at a great price (typical of Dover Publications, I realize).

⭐This is an excellent book if you have a little background beforehand of the topics covered in this book. Though authors try to cover the topics right from the beginning and they do it quite well, I couldn’t benefit much from it as I had not studied the topics covered in this book before. I had to go back to the text books to study each of the topics and then I hope to come back to the book again. I really wouldn’t blame the authors, as the topics they are trying to cover in one chapter are full fledged one-semester courses each. It is not easy to cover one semester course in one chapter.The bottomline is – There is no way to by-pass your undergrad textbooks. if you’ve studied those before, this book will work very good for you.

⭐This book is fantastic in its discussion and pedagogy. It covers a lot of important topics concisely without becoming a complicated collection of facts. The authors manage to build up the various topics in a systematic manner that greatly helps the beginner student. Overall highly recommended for its valuable content and style of presentation.

⭐This is a cheap and handy math reference. The book is very comprehensive, covering most topic one would need refreshing. I strongly recommend buying it.

⭐This book was recommended back when I was in grad school. All the Optics students loved it. It is clear and concise.

⭐Great product and quick delivery.

⭐The printing is not very clear; Dover is in short of ink?

⭐2

⭐El libro está muy bien escrito, y ha sido un excelente apoyo para estudiar. Mi pega (y esto me sucede con la mayoría de libros con lenguaje matemático), es que las fórmulas, ecuaciones, notaciones y demás, vienen como imágenes, y en el Kindle no se ven tan bien, recomendaría comprar la edición de pasta blanda. Aunque la edición para Kindle es muy buena, no es de esas que son ilegibles, con texto encima de más texto, todo es perfectamente legible, sólo quería decir lo de las imágenes.Si las imágenes pudiesen manter una proporción de manera que se vean del mismo tamaño que el texto, sería 5 estrellas.

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⭐I am a Mathematics PG, and I wish to learn topics like Quantum Mechanics and Quantum Field Theory.Such texts prove to be way too valuable for a brief yet, to the point material.Reason for 4 stars as it does not do justice to PDE at all.Apart from that, it is a good book to have in your collection.

⭐Uso em revisão de matemática aplicada à física e astrofísica.

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⭐Este libro me ayudo para algunos conceptos básicos para el tema de variable compleja de mis estudios de posgrado. No viene muchos ejemplos aplicados a algunas ramas de la Física.

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⭐A must have book for those taking graduate level courses of Physics or Math. Also, a well structured book. (and the great design & thick pages add to the appeal)

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