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ARFKEN 수리물리학, Mathematical methods for physicists 7ed, PDF

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PREFACE ........................................................................................................................................... XI
1. MATHEMATICAL PRELIMINARIES ...................................................................................................... 1
1.1. Infinite Series .................................................................................................................. 1
1.2. Series of Functions ....................................................................................................... 21
1.3. Binomial Theorem ........................................................................................................ 33
1.4. Mathematical Induction ............................................................................................... 40
1.5. Operations of Series Expansions of Functions .............................................................. 41
1.6. Some Important Series ................................................................................................. 45
1.7. Vectors ......................................................................................................................... 46
1.8. Complex Numbers and Functions ................................................................................. 53
1.9. Derivatives and Extrema .............................................................................................. 62
1.10. Evaluation of Integrals ................................................................................................. 65
1.11. Dirac Delta Functions ................................................................................................... 75
Additional Readings .................................................................................................... 82
2. DETERMINANTS AND MATRICES .................................................................................................... 83
2.1 Determinants ............................................................................................................... 83
2.2 Matrices ....................................................................................................................... 95
Additional Readings .................................................................................................. 121
3. VECTOR ANALYSIS .................................................................................................................... 123
3.1 Review of Basics Properties ........................................................................................ 124
3.2 Vector in 3 ‐ D Spaces ................................................................................................. 126
3.3 Coordinate Transformations ...................................................................................... 133
vi
3.4 Rotations in 3 ........................................................................................................ 139
3.5 Differential Vector Operators ..................................................................................... 143
3.6 Differential Vector Operators: Further Properties ...................................................... 153
3.7 Vector Integrations .................................................................................................... 159
3.8 Integral Theorems ...................................................................................................... 164

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2019년 11월 13일 수요일

ARFKEN 수리물리학, Mathematical methods for physicists 7ed, PDF