Calculus Refresher (eBook)

A. A. Klaf (Autor)

eBook Download: EPUB

2012
431 Seiten
Dover Publications (Verlag)
978-0-486-13860-2 (ISBN)

Infos

Unique refresher covers important aspects of integral and differential calculus via 756 questions. Features constants, variables, functions, increments, derivatives, differentiation, more. A 50-page section applies calculus to engineering problems. Includes 566 problems, most with answers.

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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.

Inhalt

SECTION I SIMPLE DIFFERENTIAL CALCULUSI CONSTANTS VARIABLES FUNCTIONS INCREMENTSII LIMITSIII DERIVATIVESIV DIFFERENTIATION ELEMENTARY RULES ALGEBRAICV DIFFERENTIATION BY SUBSTITUTIONVI INVERSE FUNCTIONSVII DIFFERENTIATION ELEMENTARY RULES TRIGONOMETRICVIII GEOMETRICAL MEANING OF DIFFERENTIATIONIX TANGENT NORMAL SUBTANGENT SUBNORMALX MAXIMA AND MINIMAXI DIFFERENTIALSXII SPLITTING FRACTIONS TO AID DIFFERENTIATIONXIII TYPES OF GROWTHXIV EPSILON = e EXPONENTIAL FUNCTIONSXV LOGARITHMSXVI DIFFERENTIATION OF LOGARITHMIC FUNCTIONSXVII CONDITIONS OF LOGARITHMIC OR ORGANIC GROWTHXVIII PARTIAL DIFFERENTIATIONXIX CURVATURE OF CURVESSECTION II SIMPLE INTEGRAL CALCULUSXX INTEGRATION FUNDAMENTAL IDEASXXI INTEGRATION THE INVERSE OF DIFFERENTIATIONXXII INTEGRATION BY FUNDAMENTAL FORMULASXXIII INTEGRATION BY INSPECTIONXXIV INTEGRATION BY SUBSTITUTIONXXV INTEGRATION OF TRIGONOMETRIC FUNCTIONS BY TRANSFORMATION AND REDUCTIONXXVI INTEGRATION BY PARTSXXVII INTEGRATION BY FRACTIONSXXVIII PLANE AREAS BY INTEGRATION DEFINITE INTEGRAL DIFFERENTIAL OF AN AREA LIMIT OF A SUMXXIX MEAN VALUEXXX LENGTH OF AN ARCXXXI AREAS OF SURFACES VOLUMES BY SINGLE INTEGRATIONXXXII SUCCESSIVE AND PARTIAL INTEGRATIONXXXIII PLANE AREAS BY DOUBLE INTEGRATIONXXXIV VOLUMES BY TRIPLE INTEGRATIONXXXV CENTER OF GRAVITYXXXVI MOMENT OF INERTIAXXXVIII INTRODUCTION TO DIFFERENTIAL EQUATIONSSECTION III APPLICATIONS OF CALCULUSXXXVIII APPLICATIONS OF CALCULUS APPENDIX A-ANSWERS TO PROBLEMS "APPENDIX B-USEFUL FORMULAS, NOTATIONS, AND TABLES" INDEX

Produkt-Details

• Erscheint lt. Verlag: 8.6.2012
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Gewicht: 476 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 0-486-13860-7 / 0486138607
• ISBN-13: 978-0-486-13860-2 / 9780486138602