Thomas' Calculus, SI Units, 15th edition

Published by Pearson (December 20, 2023) © 2024

  • Joel R. Hass University of California, Davis
  • Christopher E. Heil Georgia Institute of Technology
  • Maurice D. Weir Naval Postgraduate School
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Thomas' Calculus goes beyond memorising formulas and routine procedures to help you develop deeper understanding. It guides you to a level of mathematical proficiency, with additional support if needed through its clear and intuitive explanations, current applications and generalised concepts. Technology exercises in every section use the calculator or computer for solving problems, and Computer Explorations offer exercises requiring a computer algebra system like Maple or Mathematica. The 15th Edition adds exercises, revises figures and language for clarity, and updates many applications; new online chapters cover Complex Functions, Fourier Series and Wavelets.

  • 1. Functions
  • 2. Limits and Continuity
  • 3. Derivatives
  • 4. Applications of Derivatives
  • 5. Integrals
  • 6. Applications of Definite Integrals
  • 7. Transcendental Functions
  • 8. Techniques of Integration
  • 9. Infinite Sequences and Series
  • 10. Parametric Equations and Polar Coordinates
  • 11. Vectors and the Geometry of Space
  • 12. Vector-Valued Functions and Motion in Space
  • 13. Partial Derivatives
  • 14. Multiple Integrals
  • 15. Integrals and Vector Fields
  • 16. First-Order Differential Equations
  • 17. Second-Order Differential Equations (online)
  • 18. Complex Functions (online)
  • 19. Fourier Series and Wavelets (online)
  • Appendix A
  • A.1 Real Numbers and the Real Line
  • A.2 Mathematical Induction
  • A.3 Lines, Circles, and Parabolas
  • A.4 Proofs of Limit Theorems
  • A.5 Commonly Occurring Limits
  • A.6 Theory of the Real Numbers
  • A.7 Probability
  • A.8 The Distributive Law for Vector Cross Products
  • A.9 The Mixed Derivative Theorem and the Increment Theorem
  • Answers to Odd-Numbered Exercises
  • Applications Index
  • Subject Index
  • Credits
  • A Brief Table of Integrals

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