Calculus
eBook - PDF

Calculus

  1. 1,174 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Calculus

About this book

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.

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Yes, you can access Calculus by Stanley I. Grossman in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780123043603
eBook ISBN
9781483262437
Edition
2
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Calculus
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. TO THE INSTRUCTOR
  7. CHAPTER ONE. PRELIMINARIES
  8. CHAPTER TWO. LIMITS AND DERIVATIVES
  9. CHAPTER THREE. MORE ABOUT DERIVATIVES
  10. CHAPTER FOUR. APPLICATIONS OF THE DERIVATIVE
  11. CHAPTER FIVE. THE INTEGRAL
  12. CHAPTER SIX. EXPONENTIALS AND LOGARITHMS
  13. CHAPTER SEVEN. THE TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS
  14. CHAPTER EIGHT. TECHNIQUES OF INTEGRATION
  15. CHAPTER NINE. FURTHER APPLICATIONS OF THE DEFINITE INTEGRAL
  16. CHAPTER TEN. TOPICS IN ANALYTIC GEOMETRY
  17. CHAPTER ELEVEN. POLAR COORDINATES
  18. CHAPTER TWELVE. INDETERMINATE FORMS AND IMPROPER INTEGRALS
  19. CHAPTER THIRTEEN. TAYLOR POLYNOMIALS AND APPROXIMATION
  20. CHAPTER FOURTEEN. SEQUENCES AND SERIES
  21. CHAPTER FIFTEEN. VECTORS IN THE PLANE
  22. CHAPTER SIXTEEN. VECTOR FUNCTIONS, VECTOR DIFFERENTIATION, AND PARAMETRIC EQUATIONS
  23. CHAPTER SEVENTEEN. VECTORS IN SPACE
  24. CHAPTER EIGHTEEN. DIFFERENTIATION OF FUNCTIONS OF TWO AND THREE VARIABLES
  25. CHAPTER NINETEEN. MULTIPLE INTEGRATION
  26. CHAPTER TWENTY. INTRODUCTION TO VECTOR ANALYSIS
  27. CHAPTER TWENTY-ONE. ORDINARY DIFFERENTIAL EQUATIONS
  28. APPENDIX 1: REVIEW OF TRIGONOMETRY
  29. APPENDIX 2: MATHEMATICAL INDUCTION
  30. APPENDIX 3: DETERMINANTS
  31. APPENDIX 4: THE BINOMIAL THEOREM
  32. APPENDIX 5: THE PROOFS OF SOME THEOREMS ON LIMITS, CONTINUITY, AND DIFFERENTIATION
  33. APPENDIX 6: COMPLEX NUMBERS
  34. TABLE
  35. ANSWERS TO ODD-NUMBERED PROBLEMS AND REVIEW EXERCISES
  36. INDEX