Calculus Refresher (Dover Books on Mathematics)

A. A. Klaf

ISBN 10: 0486203700 / ISBN 13: 9780486203706

Editore: Dover Publications, 1956

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Riassunto:

This book is unique in English as a refresher for engineers, technicians, and students who either wish to brush up their calculus or find parts of calculus unclear. It is not an ordinary textbook. It is, instead, an examination of the most important aspects of integral and differential calculus in terms of the 756 questions most likely to occur to the technical reader. It provides a very easily followed presentation and may also be used as either an introductory or supplementary textbook.
The first part of this book covers simple differential calculus, with constants, variables, functions, increments, derivatives, differentiation, logarithms, curvature of curves, and similar topics. The second part covers fundamental ideas of integration (inspection, substitution, transformation, reduction) areas and volumes, mean value, successive and partial integration, double and triple integration. In all cases the author stresses practical aspects rather than theoretical, and builds upon such situations as might occur.
A 50-page section illustrates the application of calculus to specific problems of civil and nautical engineering, electricity, stress and strain, elasticity, industrial engineering, and similar fields. 756 questions answered. 566 problems to measure your knowledge and improvement; answers. 36 pages of useful constants, formulae for ready reference. Index.

Contenuti: SECTION I SIMPLE DIFFERENTIAL CALCULUS I CONSTANTS VARIABLES FUNCTIONS INCREMENTS II LIMITS III DERIVATIVES IV DIFFERENTIATION ELEMENTARY RULES ALGEBRAIC V DIFFERENTIATION BY SUBSTITUTION VI INVERSE FUNCTIONS VII DIFFERENTIATION ELEMENTARY RULES TRIGONOMETRIC VIII GEOMETRICAL MEANING OF DIFFERENTIATION IX TANGENT NORMAL SUBTANGENT SUBNORMAL X MAXIMA AND MINIMA XI DIFFERENTIALS XII SPLITTING FRACTIONS TO AID DIFFERENTIATION XIII TYPES OF GROWTH XIV EPSILON = e EXPONENTIAL FUNCTIONS XV LOGARITHMS XVI DIFFERENTIATION OF LOGARITHMIC FUNCTIONS XVII CONDITIONS OF LOGARITHMIC OR ORGANIC GROWTH XVIII PARTIAL DIFFERENTIATION XIX CURVATURE OF CURVES SECTION II SIMPLE INTEGRAL CALCULUS XX INTEGRATION FUNDAMENTAL IDEAS XXI INTEGRATION THE INVERSE OF DIFFERENTIATION XXII INTEGRATION BY FUNDAMENTAL FORMULAS XXIII INTEGRATION BY INSPECTION XXIV INTEGRATION BY SUBSTITUTION XXV INTEGRATION OF TRIGONOMETRIC FUNCTIONS BY TRANSFORMATION AND REDUCTION XXVI INTEGRATION BY PARTS XXVII INTEGRATION BY FRACTIONS XXVIII PLANE AREAS BY INTEGRATION DEFINITE INTEGRAL DIFFERENTIAL OF AN AREA LIMIT OF A SUM XXIX MEAN VALUE XXX LENGTH OF AN ARC XXXI AREAS OF SURFACES VOLUMES BY SINGLE INTEGRATION XXXII SUCCESSIVE AND PARTIAL INTEGRATION XXXIII PLANE AREAS BY DOUBLE INTEGRATION XXXIV VOLUMES BY TRIPLE INTEGRATION XXXV CENTER OF GRAVITY XXXVI MOMENT OF INERTIA XXXVIII INTRODUCTION TO DIFFERENTIAL EQUATIONS SECTION III APPLICATIONS OF CALCULUS XXXVIII APPLICATIONS OF CALCULUS APPENDIX A-ANSWERS TO PROBLEMS "APPENDIX B-USEFUL FORMULAS, NOTATIONS, AND TABLES" INDEX

Dati bibliografici

Titolo: Calculus Refresher (Dover Books on ...
Casa editrice: Dover Publications
Data di pubblicazione: 1956
Legatura: paperback
Condizione: Very Good