Chapter 1 Algebraic and Analytic Methods
R. Roy
Department of Mathematics and Computer Science, Beloit College, Beloit, Wisconsin.
F. W. J. Olver
Institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland.
R. A. Askey
Department of Mathematics, University of Wisconsin, Madison, Wisconsin.
R. Wong
Liu Bie Ju Centre for Mathematical Sciences, City University of Hong Kong, Kowloon, Hong Kong.
W. P. Reinhardt
Department of Chemistry, University of Washington, Campus Box 351700, Seattle, Washington, 98195-1700, USA.
| 1.1 | Special Notation | 特殊表記 |
| 1.2 | Elementary Algebra | 初等代数 |
| 1.3 | Determinants, Linear Operators, and Spectral Expansions | 行列式、線形演算子、およびスペクトル展開 |
| 1.4 | Calculus of One Variable | 1 つの変数の微積分 |
| 1.5 | Calculus of Two or More Variables | 2つ以上の変数の微積分 |
| 1.6 | Vectors and Vector-Valued Functions | ベクトルとベクトル値関数 |
| 1.7 | Inequalities | 不平等 |
| 1.8 | Fourier Series | フーリエ級数 |
| 1.9 | Calculus of a Complex Variable | 複素変数の微積分 |
| 1.10 | Functions of a Complex Variable | 複素変数の関数 |
| 1.11 | Zeros of Polynomials | 多項式の零点 |
| 1.12 | Continued Fractions | 連分数 |
| 1.13 | Differential Equations | 微分方程式 |
| 1.14 | Integral Transforms | 積分変換 |
| 1.15 | Summability Methods | 合計可能性の方法 |
| 1.16 | Distributions | 分布 |
| 1.17 | Integral and Series Representations of the Dirac Delta | ディラックデルタの積分および級数表現 |
| 1.18 | Linear Second Order Differential Operators and Eigenfunction Expansions | 線形2次微分演算子と固有関数展開 |