## Mathematical Physics: A Modern Introduction to Its FoundationsThis 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. |

### What people are saying - Write a review

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).

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 |

1003 | |

1007 | |

### Other editions - View all

Mathematical Physics: A Modern Introduction to Its Foundations Sadri Hassani No preview available - 2012 |

### Common terms and phrases

### References to this book

Mathematical Methods Using Mathematica®: For Students of Physics and Related ... Sadri Hassani No preview available - 2003 |