Mathematical Physics: A Modern Introduction to Its Foundations

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Springer Science & Business Media, Feb 8, 2002 - Science - 1026 pages
4 Reviews
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.
 

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Great book, horrible e-book
The book and its content are great, but the e-book offered by Google is awful. The table of contents consists of a non-descript list of Roman numerals, with no indication
of what each corresponds to. For instance, the beginning of Chapter 27 (Lie Algebras) is shown as "CLXXXII" in the table of contents. That's all. No indication that it's a major subdivision of the book, or what subject it covers, just "CLXXXII". There is no way to navigate to any particular chapter, section or topic you are interested in, except by scrolling through the thousand or so pages manually until you find it. This is a fatal problem in a reference book of this nature, and it's sad that the eBook is actually far less usable and convenient than a printed copy (which at least has a comprehensible table of contents). 

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Dr. Ann Orel sugested

Contents

IV
1
V
4
VI
7
VII
10
VIII
12
IX
14
X
17
XI
19
CXI
451
CXII
453
CXIII
457
CXIV
458
CXV
464
CXVI
467
CXVII
473
CXVIII
480

XII
23
XIII
32
XIV
41
XV
43
XVI
49
XVIII
56
XIX
61
XX
63
XXI
67
XXII
70
XXIII
76
XXIV
82
XXVI
87
XXVII
89
XXVIII
91
XXIX
93
XXX
101
XXXI
103
XXXII
109
XXXIV
112
XXXV
114
XXXVI
117
XXXVII
125
XXXVIII
129
XXXIX
130
XL
138
XLI
143
XLII
145
XLIV
150
XLV
157
XLVI
159
XLVIII
165
XLIX
169
L
172
LI
175
LII
176
LIII
179
LIV
186
LV
189
LVI
190
LVII
196
LVIII
208
LIX
220
LX
225
LXI
227
LXIII
228
LXIV
236
LXV
241
LXVI
248
LXVII
252
LXVIII
263
LXIX
270
LXX
273
LXXI
275
LXXII
290
LXXIII
293
LXXIV
295
LXXV
302
LXXVI
309
LXXVII
312
LXXVIII
319
LXXIX
325
LXXX
327
LXXXI
331
LXXXII
334
LXXXIII
338
LXXXIV
346
LXXXV
348
LXXXVI
349
LXXXVII
350
LXXXVIII
352
LXXXIX
355
XC
364
XCI
367
XCII
376
XCIII
380
XCIV
382
XCV
383
XCVI
394
XCVII
400
XCVIII
401
XCIX
404
C
410
CI
413
CII
419
CIII
426
CIV
433
CV
434
CVI
437
CVII
438
CVIII
443
CIX
445
CX
449
CXIX
485
CXX
488
CXXI
494
CXXII
505
CXXIII
507
CXXIV
513
CXXV
517
CXXVI
522
CXXVII
524
CXXVIII
540
CXXIX
545
CXXX
551
CXXXI
553
CXXXII
554
CXXXIII
557
CXXXIV
565
CXXXV
577
CXXXVI
580
CXXXVII
583
CXXXVIII
584
CXXXIX
592
CXL
596
CXLI
600
CXLII
603
CXLIII
610
CXLIV
613
CXLV
621
CXLVI
626
CXLVII
628
CXLVIII
636
CXLIX
641
CL
649
CLI
651
CLII
652
CLIII
656
CLIV
663
CLV
664
CLVI
669
CLVII
673
CLVIII
680
CLIX
685
CLX
687
CLXI
692
CLXII
695
CLXIII
699
CLXIV
701
CLXV
707
CLXVI
723
CLXVII
728
CLXVIII
729
CLXIX
736
CLXX
739
CLXXI
749
CLXXII
756
CLXXIII
758
CLXXIV
763
CLXXV
770
CLXXVI
776
CLXXVII
780
CLXXVIII
791
CLXXIX
801
CLXXX
808
CLXXXI
813
CLXXXII
815
CLXXXIII
826
CLXXXIV
832
CLXXXV
833
CLXXXVI
845
CLXXXVII
856
CLXXXVIII
859
CLXXXIX
876
CXC
882
CXCI
883
CXCII
887
CXCIII
897
CXCIV
908
CXCV
913
CXCVI
918
CXCVII
932
CXCVIII
936
CXCIX
941
CC
951
CCI
956
CCII
964
CCIII
970
CCIV
973
CCV
988
CCVI
992
CCVII
997
CCVIII
1000
CCIX
1003
CCX
1007
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Sadri Hassani, Department of Physics, Illinois State University, USA

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