Table of Integrals, Series, and Products Incorporating the 4th Ed. Prepared by Yu. V. Geronimus, M. Yu. Tseytlin ; Translated from the Russian by Scripta Technica, Inc., and Edited by Alan Jeffrey

Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers. Content: Front Matter, Page iii Copyright, Page iv PREFACE TO THE CORRECTED AND ENLARGED EDITION, Pages v-vi PREFACE TO THE FIRST EDITION, Page vii PREFACE TO THE THIRD EDITION, Page vii PREFACE TO THE FOURTH EDITION, Pages vii-viii EDITOR'S FOREWORD, Page viii ACKNOWLEDGMENT, Page ix THE ORDER OF PRESENTATION OF THE FORMULAS, Pages xxiii-xxvi USE OF THE TABLES, Pages xxvii-xxxviii INDEX OF SPECIAL FUNCTIONS AND NOTATIONS, Pages xxxix-xli NOTATIONS, Page xliii NOTE ON THE BIBLIOGRAPHIC REFERENCES, Page xlv 0 - INTRODUCTION, Pages 1-20 1 - ELEMENTARY FUNCTIONS, Pages 21-52 2 - INDEFINITE INTEGRALS OF ELEMENTARY FUNCTIONS, Pages 53-210 3.-4 - DEFINITE INTEGRALS OF ELEMENTARY FUNCTIONS, Pages 211-625 5 - INDEFINITE INTEGRALS OF SPECIAL FUNCTIONS, Pages 626-634 6.-7 - DEFINITE INTEGRALS OF SPECIAL FUNCTIONS, Pages 635-903 8-9 - SPECIAL FUNCTIONS, Pages 904-1080 10 - VECTOR FIELD THEORY, Pages 1081-1092 11 - ALGEBRAIC INEQUALITIES, Pages 1093-1096 12 - INTEGRAL INEQUALITIES, Pages 1097-1102 13 - MATRICES AND RELATED RESULTS, Pages 1103-1107 14 - DETERMINANTS, Pages 1108-1113 15 - NORMS, Pages 1114-1125 16 - ORDINARY DIFFERENTIAL EQUATIONS, Pages 1126-1141 17 - FOURIER AND LAPLACE TRANSFORMS, Pages 1142-1153 BIBLIOGRAPHIC REFERENCES USED IN PREPARATION OF TEXT, Pages 1154-1156 CLASSIFIED SUPPLEMENTARY REFERENCES, Pages 1157-1160 A Note On The Use Of The Tables Has Been Provided By Alan Jeffrey, Editor Of The Translation, And A Short, Classified Bibliography Is Added To Supplement The Original Russian Bibliography. Gives Comprehensive Coverage Of Elementary Functions And Special Functions And Their Definite And Indefinite Integrals. I.s. Gradshteyn And I.m. Ryzhik ; Incorporating The 4th Ed. Prepared By Yu. V. Geronimus, M. Yu. Tseytlin ; Translated From The Russian By Scripta Technica, Inc., And Edited By Alan Jeffrey. Translation Of Tablit︠s︡y Integralov, Summ, Ri︠a︡dov I Proizvedeniĭ. Includes Bibliographies.