Calculus
eBook - PDF

Calculus

Single Variable

  1. 768 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Calculus

Single Variable

About this book

Calculus: Single Variable, 12th Edition, offers students a rigorous and intuitive treatment of single variable calculus, including the differentiation and integration of one variable. Using the Rule of Four, the authors present mathematical concepts from verbal, algebraic, visual, and numerical points of view. The book includes numerous exercises, applications, and examples that help readers learn and retain the concepts discussed within, and discusses polynomials, rational functions, exponentials, logarithms, and trigonometric functions late in the text.

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Key takeaways

AI-Generated Insights
Insight 1

Apply the concepts of limits and continuity to analyze function behavior and compute derivatives using various techniques. Utilize derivatives to analyze graphs, solve optimization problems, and model rates of change.

Insight 2

Evaluate definite and indefinite integrals using methods such as substitution, integration by parts, and partial fractions. Apply integration to calculate areas, volumes, and work in geometric, scientific, and engineering contexts.

Insight 3

Analyze the convergence of infinite sequences and series, and solve first-order differential equations. Work with functions defined by parametric and polar equations, including their derivatives and integrals.

Information

Publisher
Wiley
Year
2022
eBook ISBN
9781119828679
Edition
12
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Cover
  2. For the Student
  3. Title Page
  4. Copyright
  5. About the Authors
  6. Preface
  7. Supplements
  8. Acknowledgments
  9. Contents
  10. The Roots of Calculus
  11. Chapter 1: Limits and Continuity
  12. Chapter 2: The Derivative
  13. Chapter 3: The Derivative in Graphing and Applications
  14. Chapter 4: Integration
  15. Chapter 5: Applications of the Definite Integral in Geometry, Science, and Engineering
  16. Chapter 6: Exponential, Logarithmic, and Inverse Trigonometric Functions
  17. Chapter 7: Principles of Integral Evaluation
  18. Chapter 8: Mathematical Modeling with Differential Equations
  19. Chapter 9: Infinite Series
  20. Chapter 10: Parametric and Polar Curves; Conic Sections
  21. A: Appendices
  22. Ready Reference
  23. Answers to Odd-Numbered Exercises
  24. Index
  25. EULA

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Yes, you can access Calculus by Howard Anton,Irl C. Bivens,Stephen Davis 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.