積分、級数および積の公式集（第６版）<br>Table of Integrals, Series, and Products （6 SUB）

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積分、級数および積の公式集（第６版）
Table of Integrals, Series, and Products （6 SUB）

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  • 製本 Hardcover:ハードカバー版／ページ数 1163 p.
  • 言語 ENG
  • 商品コード 9780122947575
  • DDC分類 515.0212

基本説明

Ed. by Alan Jeffrey. A compilation of over 10,000 integrals, or more simply mathematical formulas, and it is improbable that anyone anywhere at anytime ever uses or has used every integral in this book.

Full Description


"The Table of Integrals, Series, and Products" is the major reference source for integrals in the English language. It is essential for mathematicians, scientists, and engineers, who rely on it when identifying and subsequently solving extremely complex problems. The Sixth Edition is a corrected and expanded version of the previous edition. It was completely reset in order to add more material and to enhance the visual appearance of the information. To preserve compatibility with the previous edition, the original numbering system for entries has been retained. New entries and sections have been inserted in a manner consistent with the original scheme. Whenever possible, new entries and corrections have been checked by means of symbolic computation. This work is a completely reset edition of "Gradshteyn and Ryzhik" reference book. In it, new entries and sections are kept in original numbering system with an expanded bibliography. It also provides enlargement of material on orthogonal polynomials, theta functions, Laplace and Fourier transform pairs and much more.

Contents

Preface to the Sixth Edition. Acknowledgements. The order of presentation of the formulas. Use of the tables. Special functions. Notation. Note on the bibliographic references. Introduction. Elementary Functions. Indefinite Integrals of Elementary Functions. Definite Integrals of Elementary Functions. Indefinite Integrals of Special Functions. Definite Integrals of Special Functions. Special Functions. Vector Field Theory. Algebraic Inequalities. Integral Inequalities. Matrices and related results. Determinants. Norms. Ordinary differential equations. Fourier, Laplace, and Mellin Transforms. The z-transform. References. Supplemental references. Function and constant index. General index.