Mathematics of Classical and Quantum Physics, Volumes 12This textbook is designed to complement graduatelevel physics texts in classical mechanics, electricity, magnetism, and quantum mechanics. Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics. Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text. Essentially selfcontained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a onesemester course at the graduate or advanced undergraduate level. 
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User Review  plaws595  LibraryThingThis book is a decent resource when it comes to graduate level physics. I used it to suppliment my quantum mechanics course. Before purchasing the book, make sure you have a solid calculus and physics foundation. Read full review
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Nicely things are covered good for graduate text
Contents
II  ix 
IV  1 
V  2 
VI  3 
VII  12 
VIII  15 
IX  17 
X  31 
LVIII  251 
LX  259 
LXI  261 
LXII  275 
LXIII  303 
LXVII  310 
LXVIII  320 
LXIX  328 
XI  41 
XIII  43 
XIV  47 
XV  51 
XVI  59 
XVII  63 
XVIII  70 
XIX  83 
XXIII  87 
XXV  90 
XXVI  93 
XXVII  96 
XXVIII  98 
XXIX  100 
XXX  107 
XXXI  118 
XXXII  128 
XXXIII  140 
XXXVI  143 
XXXVII  146 
XXXVIII  149 
XXXIX  154 
XL  156 
XLII  162 
XLIII  169 
XLIV  173 
XLV  182 
XLVI  190 
XLVII  196 
XLVIII  210 
LI  211 
LII  215 
LIII  222 
LIV  226 
LV  231 
LVI  237 
LVII  244 
LXX  333 
LXXI  338 
LXXII  347 
LXXIII  356 
LXXIV  369 
LXXV  386 
LXXIX  393 
LXXX  399 
LXXXI  409 
LXXXII  418 
LXXXIII  431 
LXXXIV  440 
LXXXV  451 
LXXXVI  467 
XC  472 
XCI  477 
XCII  482 
XCIII  494 
XCIV  501 
XCV  516 
XCIX  529 
C  539 
CI  547 
CII  553 
CIII  561 
CIV  578 
CVIII  584 
CIX  590 
CX  597 
CXI  602 
CXII  608 
CXIII  620 
CXIV  631 
CXV  647 
CXVI  649 
655  
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Mathematics of Classical and Quantum Physics Frederick W. Byron,Robert W. Fuller Limited preview  2012 
Common terms and phrases
according to Eq analytic function arbitrarily arbitrary assume Axiom boundary conditions Chapter coefficients complete orthonormal set completely continuous complex numbers components compute consider constant contour convergence coordinates corresponding defined definition denote derivative determined diagonal differential equation discussed eigenfunctions eigenvalues eigenvectors elements equal example exists finitedimensional follows Fourier transform given Green's function Hence Hermitian operator Hilbert space identity infinite inner product innerproduct space integral equation interval invariant inverse irreducible representations kernel Legendre polynomials linear combination linear operator linear transformation linearly independent mathematical matrix multiplication norm notation Note obtain orthogonal physical potential problem proof prove quantum mechanics reader real axis result rotation satisfy scalar Section selfadjoint operator sequence set of functions simple singular solution solve spherical squareintegrable subgroup symmetric tensor theorem theory tion uniform convergence unitary vanishes variable vector space write zero