000			02229 a2200289 4500
008			241217b2009 |||||||| |||| 00| 0 eng d
020			_a9780521854030 (PB)
041			_aeng
080			_a53:51 _bSTO
100			_aStone, Michael
245			_aMathematics for Physics _bA guided tour for graduate students
260			_bCambridge University Press _c2009 _aUnited Kingdom
300			_axiii, 806p.
500			_aIncludes Index
504			_aIncludes bibliography (p. 797-798) and references.
505			_a1. Calculus of variations 2. Function spaces 3. Linear ordinary differential equations 4. Linear differential operators 5. Green functions 6. Partial differential equations 7. The mathematics of real waves 8. Special functions 9. Integral equations 10. Vectors and tensors 11. Differential calculus on manifolds 12. Integration on manifolds 13. An introduction to differential topology 14. Group and group representations 15. Lie groups 16. The geometry of fibre bundles 17. Complex analysis I 18. Applications of complex variables 19. Special functions and complex variables
520			_aAn engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study.
650			_aPhysics
650			_aMathematics
650			_aFunction spaces
650			_aLinear ordinary differential equations
650			_aGreen functions
650			_aPartial differential equations
690			_aMathematics
700			_aGoldbart, Paul
942			_cBK
999			_c60650 _d60650