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ONE - PRELIMINARIES
Pages 1-52 - Book chapterAbstract only
TWO - LIMITS AND DERIVATIVES
Pages 53-133 - Book chapterAbstract only
THREE - MORE ABOUT DERIVATIVES
Pages 134-183 - Book chapterAbstract only
FOUR - APPLICATIONS OF THE DERIVATIVE
Pages 184-249 - Book chapterAbstract only
FIVE - THE INTEGRAL
Pages 250-323 - Book chapterAbstract only
SIX - EXPONENTIALS AND LOGARITHMS
Pages 324-383 - Book chapterAbstract only
SEVEN - THE TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS
Pages 384-425 - Book chapterAbstract only
EIGHT - TECHNIQUES OF INTEGRATION
Pages 426-481 - Book chapterAbstract only
NINE - FURTHER APPLICATIONS OF THE DEFINITE INTEGRAL
Pages 482-525 - Book chapterAbstract only
TEN - TOPICS IN ANALYTIC GEOMETRY
Pages 526-549 - Book chapterAbstract only
ELEVEN - POLAR COORDINATES
Pages 550-575 - Book chapterAbstract only
TWELVE - INDETERMINATE FORMS AND IMPROPER INTEGRALS
Pages 576-598 - Book chapterAbstract only
THIRTEEN - TAYLOR POLYNOMIALS AND APPROXIMATION
Pages 599-613 - Book chapterAbstract only
FOURTEEN - SEQUENCES AND SERIES
Pages 614-667 - Book chapterAbstract only
FIFTEEN - VECTORS IN THE PLANE
Pages 668-688 - Book chapterAbstract only
SIXTEEN - VECTOR FUNCTIONS, VECTOR DIFFERENTIATION, AND PARAMETRIC EQUATIONS
Pages 689-738 - Book chapterAbstract only
SEVENTEEN - VECTORS IN SPACE
Pages 739-792 - Book chapterAbstract only
EIGHTEEN - DIFFERENTIATION OF FUNCTIONS OF TWO AND THREE VARIABLES
Pages 793-876 - Book chapterAbstract only
NINETEEN - MULTIPLE INTEGRATION
Pages 877-927 - Book chapterAbstract only
TWENTY - INTRODUCTION TO VECTOR ANALYSIS
Pages 928-989 - Book chapterAbstract only
TWENTY-ONE - ORDINARY DIFFERENTIAL EQUATIONS
Pages 990-1020 - Book chapterNo access
APPENDIX 1 - REVIEW OF TRIGONOMETRY
Pages A1-A14 - Book chapterNo access
APPENDIX 2 - MATHEMATICAL INDUCTION
Pages A15-A18 - Book chapterNo access
APPENDIX 3 - DETERMINANTS
Pages A19-A28 - Book chapterNo access
APPENDIX 4 - THE BINOMIAL THEOREM
Pages A29-A31 - Book chapterNo access
APPENDIX 5 - THE PROOFS OF SOME THEOREMS ON LIMITS, CONTINUITY, AND DIFFERENTIATION
Pages A32-A38 - Book chapterNo access
APPENDIX 6 - COMPLEX NUMBERS
Pages A39-A45 - Book chapterNo access
ANSWERS TO ODD-NUMBERED PROBLEMS AND REVIEW EXERCISES
Pages A61-A129 - Book chapterNo access
INDEX
Pages A131-A138
About the book
Description
Calculus, Second Edition discusses the techniques and theorems of calculus. This edition introduces the sine and cosine functions, distributes ?-? material over several chapters, and includes a detailed account of analytic geometry and vector analysis. This book also discusses the equation of a straight line, trigonometric limit, derivative of a power function, mean value theorem, and fundamental theorems of calculus. The exponential and logarithmic functions, inverse trigonometric functions, linear and quadratic denominators, and centroid of a plane region are likewise elaborated. Other topics include the sequences of real numbers, dot product, arc length as a parameter, quadric surfaces, higher-order partial derivatives, and Green's theorem in the plane. This publication is a good source for students learning calculus.
Calculus, Second Edition discusses the techniques and theorems of calculus. This edition introduces the sine and cosine functions, distributes ?-? material over several chapters, and includes a detailed account of analytic geometry and vector analysis. This book also discusses the equation of a straight line, trigonometric limit, derivative of a power function, mean value theorem, and fundamental theorems of calculus. The exponential and logarithmic functions, inverse trigonometric functions, linear and quadratic denominators, and centroid of a plane region are likewise elaborated. Other topics include the sequences of real numbers, dot product, arc length as a parameter, quadric surfaces, higher-order partial derivatives, and Green's theorem in the plane. This publication is a good source for students learning calculus.
Details
ISBN
978-0-12-304360-3
Language
English
Published
1981
Copyright
Copyright © 1981 Elsevier Inc. All rights reserved.
Imprint
Academic Press