Cover for Calculus

Calculus

Book • Second Edition1981

Author:

Stanley I. Grossman

Calculus

Book • Second Edition1981

 

Cover for Calculus

Author:

Stanley I. Grossman

About the book

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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, a ... read full description

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  2. Book chapterAbstract only

    ONE - PRELIMINARIES

    Pages 1-52

  3. Book chapterAbstract only

    TWO - LIMITS AND DERIVATIVES

    Pages 53-133

  4. Book chapterAbstract only

    THREE - MORE ABOUT DERIVATIVES

    Pages 134-183

  5. Book chapterAbstract only

    FOUR - APPLICATIONS OF THE DERIVATIVE

    Pages 184-249

  6. Book chapterAbstract only

    FIVE - THE INTEGRAL

    Pages 250-323

  7. Book chapterAbstract only

    SIX - EXPONENTIALS AND LOGARITHMS

    Pages 324-383

  8. Book chapterAbstract only

    SEVEN - THE TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS

    Pages 384-425

  9. Book chapterAbstract only

    EIGHT - TECHNIQUES OF INTEGRATION

    Pages 426-481

  10. Book chapterAbstract only

    NINE - FURTHER APPLICATIONS OF THE DEFINITE INTEGRAL

    Pages 482-525

  11. Book chapterAbstract only

    TEN - TOPICS IN ANALYTIC GEOMETRY

    Pages 526-549

  12. Book chapterAbstract only

    ELEVEN - POLAR COORDINATES

    Pages 550-575

  13. Book chapterAbstract only

    TWELVE - INDETERMINATE FORMS AND IMPROPER INTEGRALS

    Pages 576-598

  14. Book chapterAbstract only

    THIRTEEN - TAYLOR POLYNOMIALS AND APPROXIMATION

    Pages 599-613

  15. Book chapterAbstract only

    FOURTEEN - SEQUENCES AND SERIES

    Pages 614-667

  16. Book chapterAbstract only

    FIFTEEN - VECTORS IN THE PLANE

    Pages 668-688

  17. Book chapterAbstract only

    SIXTEEN - VECTOR FUNCTIONS, VECTOR DIFFERENTIATION, AND PARAMETRIC EQUATIONS

    Pages 689-738

  18. Book chapterAbstract only

    SEVENTEEN - VECTORS IN SPACE

    Pages 739-792

  19. Book chapterAbstract only

    EIGHTEEN - DIFFERENTIATION OF FUNCTIONS OF TWO AND THREE VARIABLES

    Pages 793-876

  20. Book chapterAbstract only

    NINETEEN - MULTIPLE INTEGRATION

    Pages 877-927

  21. Book chapterAbstract only

    TWENTY - INTRODUCTION TO VECTOR ANALYSIS

    Pages 928-989

  22. Book chapterAbstract only

    TWENTY-ONE - ORDINARY DIFFERENTIAL EQUATIONS

    Pages 990-1020

  23. Book chapterNo access

    APPENDIX 1 - REVIEW OF TRIGONOMETRY

    Pages A1-A14

  24. Book chapterNo access

    APPENDIX 2 - MATHEMATICAL INDUCTION

    Pages A15-A18

  25. Book chapterNo access

    APPENDIX 3 - DETERMINANTS

    Pages A19-A28

  26. Book chapterNo access

    APPENDIX 4 - THE BINOMIAL THEOREM

    Pages A29-A31

  27. Book chapterNo access

    APPENDIX 5 - THE PROOFS OF SOME THEOREMS ON LIMITS, CONTINUITY, AND DIFFERENTIATION

    Pages A32-A38

  28. Book chapterNo access

    APPENDIX 6 - COMPLEX NUMBERS

    Pages A39-A45

  29. Book chapterNo access

    ANSWERS TO ODD-NUMBERED PROBLEMS AND REVIEW EXERCISES

    Pages A61-A129

  30. 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

Authors

Stanley I. Grossman

University of Montana