Cover for Calculus

Calculus

Book • Second Edition1981

Authors:

Stanley I. Grossman

Calculus

Book • Second Edition1981

 

Cover for Calculus

Authors:

Stanley I. Grossman

Browse this book

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

Browse content

Table of contents

Actions for selected chapters

Select all / Deselect all

  1. Full text access
  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

You currently don’t have access to this book, however you can purchase separate chapters directly from the table of contents or buy the full version.

Purchase the book

Authors

Stanley I. Grossman

University of Montana