A Course in Mathematics for Students of Physics:

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Cambridge University Press, Aug 30, 1991 - Mathematics - 464 pages
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This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.
 

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Contents

I
viii
II
xi
III
407
IV
411
V
419
VI
429
VII
431
VIII
433
LIX
641
LX
646
LXI
651
LXII
653
LXIII
660
LXIV
662
LXV
664
LXVI
674

IX
436
X
444
XI
446
XII
451
XIV
458
XV
461
XVI
466
XVII
469
XVIII
474
XIX
477
XX
482
XXI
485
XXII
487
XXIII
492
XXV
502
XXVI
520
XXVII
526
XXIX
532
XXX
535
XXXI
539
XXXII
541
XXXIII
553
XXXIV
564
XXXV
574
XXXVII
583
XXXVIII
585
XXXIX
586
XL
588
XLI
596
XLII
597
XLIII
600
XLIV
602
XLV
604
XLVI
606
XLVII
608
XLVIII
612
L
615
LI
616
LII
621
LIII
626
LIV
628
LV
633
LVI
636
LVIII
638
LXVIII
686
LXIX
689
LXX
692
LXXI
695
LXXII
697
LXXIII
700
LXXIV
704
LXXVI
706
LXXVII
707
LXXVIII
709
LXXIX
711
LXXX
715
LXXXI
724
LXXXII
729
LXXXIII
735
LXXXIV
740
LXXXV
744
LXXXVII
750
LXXXVIII
755
LXXXIX
758
XC
761
XCI
762
XCII
764
XCIII
766
XCV
768
XCVI
775
XCVII
780
XCVIII
785
XCIX
796
C
800
CI
805
CII
808
CIII
814
CIV
816
CV
823
CVI
826
CVII
831
CVIII
835
CIX
836
CX
838
CXI
845
CXII
848
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