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Mathematical Physics: A Modern Introduction to Its Foundations - Sadri Hassani
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Ubicado en: Norton, Massachusetts, Estados Unidos
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Product Identifiers
Publisher
Springer
ISBN-10
0387985794
ISBN-13
9780387985794
eBay Product ID (ePID)
997912
Product Key Features
Number of Pages
Xxii, 1026 Pages
Publication Name
Mathematical Physics : a Modern Introduction to Its Foundations
Language
English
Subject
Physics / Mathematical & Computational
Publication Year
2002
Type
Textbook
Subject Area
Science
Format
Hardcover
Dimensions
Item Height
0.8 in
Item Weight
84.1 Oz
Item Length
9.6 in
Item Width
6.7 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
98-024738
Dewey Edition
21
Reviews
PAGEOPH [Pure and Applied Geophysics]Review by Daniel Wojcik, University of Maryland"This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. … I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers."ZENTRALBLATT MATHReview by G.Roepstorff, University of Aachen, Germany"… Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. … A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. … For the physics student in the middle of his training, it will certainly prove to be extremely useful."THE PHYSICISTReview by Paul Davies, Orion Productions, Adelaide, Australia"I am pleased to have so many topics collected in a single volume. All the tricks are there of course, but supported by sufficient rigour and substantiation to make the dedicated mathematical physicist sigh with delight."EMS [EUROPEAN MATHEMATICAL SOCIETY] NEWSLETTER"This book is a condensed exposition of the mathematics that is met in most parts of physics. The presentation attains a very good balance between the formal introduction of concepts, theorems and proofs on one hand, and the applied approach on the other, with many examples, fully or partially solved problems, and historical remarks. An impressive amount of mathematics is covered. … This book can be warmly recommended as a basic source for the study of mathematics for advanced undergraduates or beginning graduate students in physics and applied mathematics, and also as a reference book for all working mathematicians and physicists.", PAGEOPH [Pure and Applied Geophysics] Review by Daniel Wojcik, University of Maryland "This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. ... I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers." ZENTRALBLATT MATH Review by G.Roepstorff, University of Aachen, Germany "... Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. ... A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. ... For the physics student in the middle of his training, it will certainly prove to be extremely useful." THE PHYSICIST Review by Paul Davies, Orion Productions, Adelaide, Australia "I am pleased to have so many topics collected in a single volume. All the tricks are there of course, but supported by sufficient rigour and substantiation to make the dedicated mathematical physicist sigh with delight." EMS [EUROPEAN MATHEMATICAL SOCIETY] NEWSLETTER "This book is a condensed exposition of the mathematics that is met in most parts of physics. The presentation attains a very good balance between the formal introduction of concepts, theorems and proofs on one hand, and the applied approach on the other, with many examples, fully or partially solved problems, and historical remarks. An impressive amount of mathematics is covered. ... This book can be warmly recommended as a basic source for the study of mathematics for advanced undergraduates or beginning graduate students in physics and applied mathematics, and also as a reference book for all working mathematicians and physicists.", PAGEOPH [Pure and Applied Geophysics] Review by Daniel Wojcik, University of Maryland "This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. a? I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers." ZENTRALBLATT MATH Review by G.Roepstorff, University of Aachen, Germany "a? Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. a? A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. a? For the physics student in the middle of his training, it will certainly prove to be extremely useful." THE PHYSICIST Review by Paul Davies, Orion Productions, Adelaide, Australia "I am pleased to have so many topics collected in a single volume. All the tricks are there of course, but supported by sufficient rigour and substantiation to make the dedicated mathematical physicist sigh with delight." EMS [EUROPEAN MATHEMATICAL SOCIETY] NEWSLETTER "This book is a condensed exposition of the mathematics that is met in most parts of physics. The presentation attains a very good balance between the formal introduction of concepts, theorems and proofs on one hand, and the applied approach on the other, with many examples, fully or partially solved problems, and historical remarks. An impressive amount of mathematics is covered. a? This book can be warmly recommended as a basic source for the study of mathematics for advanced undergraduates or beginning graduate students in physics and applied mathematics, and also as a reference book for all working mathematicians and physicists."
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
530.15
Table Of Content
Mathematical Preliminaries; I. Finite-Dimensional Vector Spaces: 1. Vectors and Transformations; 2. Operator Algebra; 3. Matrices: Operator Representations; 4. Spectral Decomposition; II. Infinite-Dimnsional Vector Spaces: 5. Hilbert Spaces; 6. Generalized Functions; 7. Classical Orthogonal Polynomials; 8. Fourier Analysis; III. Complex Analysis: 9. Complex Calculus; 10. Calculus of Residues; 11. Complex Analysis: Advanced Topics; IV. Differential Equations: 12. Separation of Variables in Spherical Coordinates; 13. Second-Order Linear Differential Equations; 14. Complex Analysis of SOLDE; 15. Integral Transforms and Differential Equations; V. Operators on Hilbert Spaces: 16. An Introduction to Operator Theory; 17. Integral Equations; 18. Sturm-Liouville Systems: Formalism; 19. Sturm-Liouville Systems: Examples; VI. Green's Functions: 20. Green's Functions in One Dimension; 21. Multi-Dimensional Green's Functions: General Properties; 22. Multi-Dimensional Green's Functions: Applications; VII. Groups and Manifolds: 23. Group Theory; 24. Group Representation Theory; 25. Algebra of Tensors; 26. Analysis of Tensors; VIII. Lie Groups and Their Applications: 27. Lie Groups and Lie Algebras; 28. Differential Geometry; 29. Lie Groups and Differential Equations; 30.Calculus of vVariations, Symmetries, and CConservation Laws; References; IIndex.
Synopsis
This modern introduction to mathematical physics is ideal for physicists interested in the mathematics they use and for mathematicians interested in seeing how the ideas of their discipline find realization in an applied setting. The presentation balances formalism and application and the abstract and concrete., This book is for physics students interested in the mathematics they use and for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation tries to strike a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.The book is divided into eight parts: The first covers finite- dimensional vector spaces and the linear operators defined on them. The second is devoted to infinite-dimensional vector spaces, and includes discussions of the classical orthogonal polynomials and of Fourier series and transforms. The third part deals with complex analysis, including complex series and their convergence, the calculus of residues, multivalued functions, and analytic continuation. Part IV treats ordinary differential equations, concentrating on second-order equations and discussing both analytical and numerical methods of solution. The next part deals with operator theory, focusing on integral and Sturm--Liouville operators. Part VI is devoted to Green's functions, both for ordinary differential equations and in multidimensional spaces. Parts VII and VIII contain a thorough discussion of differential geometry and Lie groups and their applications, concluding with Noether's theorem on the relationship between symmetries and conservation laws.Intended for advanced undergraduates or beginning graduate students, this comprehensive guide should also prove useful as a refresher or reference for physicists and applied mathematicians. Over 300 worked-out examples and more than 800 problems provide valuable learning aids., A discussion of mathematical physics, designed for physics students interested in the mathematics they use, or for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation seeks to strike a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
LC Classification Number
QC19.2-20.85
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nthdegree's books
94,3% de votos positivos•10 mil artículos vendidos
Registrado como vendedor particularPor tanto, no se aplican los derechos de los consumidores derivados de las leyes de protección de los consumidores de la UE. La Garantía al cliente de eBay sigue aplicando a la mayoría de compras. Más informaciónMás información
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Votos de vendedor (9.069)
- a***_ (39)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaBook is like new as described and was packed carefully in a box with padding. Price was reasonable. Delivery was sooner than expected.Optics - Fourth Edition - Eugene Hecht - Addison Wesley, 698 pages (#365401604914)
- p***s (35)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaOrder came just as described. Wonderful packaging - no damage during the shipping process. Great shipping time. 10/10 would recommend buying from this seller.The Sumerians - C. Leonard Woolley - Oxford Clarendon Press - 1929 Hardcover (#365274204099)
- t***e (211)- Votos emitidos por el comprador.Mes pasadoCompra verificadaWell packed, fast shipping. Item arrived in great shape and as described. Thank you.