Elementary Calculus
eBook - PDF

Elementary Calculus

  1. 352 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Elementary Calculus

About this book

Elementary Calculus presents a three semester introductory course on calculus. This book reveals the conceptual development of the calculus, taking into cognizance the technical and applied sides and standards of clarity and rigor that prevail in mathematics. The topics discussed include the basic laws of numbers, classification of real functions, and concept of instantaneous velocity. The limits of functions defined on intervals, derivatives of the trigonometric functions, and standard logarithmic function are also reviewed. This text likewise considers integration by substitution, lengths of plane curves, and simple harmonic motion. This publication is designed for students who have a knowledge of elementary trigonometry, and either have had a one semester course on analytic or coordinate geometry or might take such a course with calculus.

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Yes, you can access Elementary Calculus by P.R. Masani,R. C. Patel,D. J. Patil, Ralph P. Boas in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9781483229577
eBook ISBN
9781483274898
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Front Cover
  2. Elementary Calculus
  3. Copyright Page
  4. Foreword
  5. Preface
  6. List of Abbreviations and Symbols
  7. Table of Contents
  8. Chapter I. Numbers
  9. Chapter II. Functions
  10. Chapter III. Basic Ideas and Problems of the Calculus
  11. Chapter IV. Limits and Continuity
  12. Chapter V. Derivatives
  13. Chapter VI. Differentiation of Composite, Inverse,and Implicitly Defined Functions
  14. Chapter VIl. Geometrical Applications of Derivatives
  15. Chapter VIII. Physical and Other Applications of Derivatives
  16. Chapter IX. Integration
  17. Chapter Χ. Logarithmic, Exponential, and Power Functions
  18. Chapter XI. Primitives
  19. Chapter XII. Geometrical Applications of Integrals
  20. Chapter XIII. Simple Differential Equations
  21. APPENDIX I. Relations as Sets of Ordered Couples
  22. APPENDIX II. Proofs of Theorems on Limits (IV, §3) and, of the Mean Value Theorem (VII, §2)
  23. APPENDIX III. Infinite Series
  24. APPENDIX IV. Partial Derivatives
  25. APPENDIX V. Approximate Integration
  26. APPENDIX VI. Duhamers Principle
  27. APPENDIX VII. The Σ-Notation
  28. Books for Further Reading and Reference
  29. ANSWERS
  30. Index