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Mathematical Physics with Applications, Problems and Solutions

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9789388264822: Mathematical Physics with Applications, Problems and Solutions
  • PublisherAne Books
  • Publication date2019
  • ISBN 10 9388264827
  • ISBN 13 9789388264822
  • BindingUnknown Binding
  • LanguageEnglish
  • Number of pages878
  • Rating
    • 4.67 out of 5 stars
      6 ratings by Goodreads

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9789386761118: Mathematical Physics with Applications, Problems and Solutions

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ISBN 10:  9386761114 ISBN 13:  9789386761118
Publisher: Ane Books, 2017
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Balakrishan
Published by Ane Books, 2023
ISBN 10: 9388264827 ISBN 13: 9789388264822
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V. Balakrishnan
Published by Ane Books, 2023
ISBN 10: 9388264827 ISBN 13: 9789388264822
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Soft cover. Condition: New. Contents: 1. Warming up: Functions of a real variable. 2. Gaussian integrals, Stirlings formula and some integrals. 3. Some more functions. 4. Generalized functions. 5. Vectors and tensors. 6. Vector calculus. 7. A bit of fluid dynamics. 8. Some more vector calculus. 9. A bit of electromagnetism and special relativity. 10. Linear vector spaces. 11. A look at matrices. 12. More about matrices. 13. Infinite-dimensional vector spaces. 14. Linear operators on a vector space. 15. Operator algebras and identities. 16. Orthogonal polynomials. 17. Fourier series. 18. Fourier integrals. 19. Discrete probability distributions. 20. Continuous probability distributions. 21. Stochastic processes. 22. Analytic functions of a complex variable. 23. More on analytic functions. 24. Linear response and analyticity. 25. Analytic continuation and the gamma function. 26. Multi-valued functions and integral representations. 27. Mobius transformations. 28. Laplace transforms. 29. Green function for the Laplacian operator. 30. The diffusion equation. 31. The wave equation. 32. Integral equations. Bibliography and Further Reading. Index. This book gives a comprehensive account of mathematical physics, assigning a prominent role to the applications of the relevant mathematics to specific parts of physics ranging overfluid mechanics, electromagnetic theory, special relativity, quantum mechanics, quantum optics, random processes, linear response theory, scattering theory, and so on. Rather than emphasising formal proofs of propositions, the results are motivated, stated, elaborated and remarked upon. Their inter-relationships and connections are brought out, and several of their applications are discussed in some detail. There are about 370 exercises and problems interspersed in the text itself at appropriate junctures, so as to facilitate the logical flow of the material without interruption. Wherever applicable, solutions to the problems, or answers with hints as to how to arrive at them, along with relevant remarks, are given at the end of each chapter. This book can also be used as a wide-ranging and fairly self-contained text for self-study, and will be well received by students of physics at all levels (senior undergraduate, masters and doctoral), as well as those who are now teachers of the subject. Seller Inventory # 131128

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ISBN 10: 9388264827 ISBN 13: 9789388264822
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