Mathematical Physics with Applications, Problems and Solutions

V. Balakrishnan

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Langue : anglais

Edité par Ane Books, 2023

9388264827 / 9789388264822

Vendeur : Vedams eBooks (P) Ltd, New Delhi, IndeVedams eBooks (P) Ltd

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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.

N° de réf. du vendeur 131128

Détails bibliographiques

Titre
Mathematical Physics with Applications, Problems and Solutions
Auteur
V. Balakrishnan
Éditeur
Ane Books
Année de publication
2023
État de l'article
New
Reliure
Soft cover
Langue
anglais
ISBN à 10 chiffres
9388264827
ISBN à 13 chiffres
9789388264822

Vedams eBooks (P) Ltd

New Delhi, Inde

Vendeur avec une évaluation de 4 étoiles

Vendeur AbeBooks depuis 30 janvier 2009

Frais d'expédition de Inde vers Etats-Unis

Article20 à 24 jours ouvrés4 à 7 jours ouvrés
Premier articleEUR 17,50EUR 32,00
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