Thomas' Calculus in SI Units 15/e (Hass)

Thomas' Calculus goes beyond memorizing 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 generalized 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

Joel Hass received his PhD from the University of California - Berkeley. He is currently a professor of mathematics at the University of California - Davis. He has coauthored widely used calculus texts as well as calculus study guides. Hass's current areas of research include the geometry of proteins, three dimensional manifolds, applied math, and computational complexity. In his free time, Hass enjoys kayaking.

Christopher Heil received his PhD from the University of Maryland. He is currently a professor of mathematics at the Georgia Institute of Technology. He is the author of a graduate text on analysis and a number of highly cited research survey articles. Heil's current areas of research include redundant representations, operator theory, and applied harmonic analysis. In his spare time, Heil pursues his hobby of astronomy.

The late Maurice D. Weir of the the Naval Postgraduate School in Monterey, California was Professor Emeritus as a member of the Department of Applied Mathematics. He held a DA and MS from Carnegie-Mellon University and received his BS at Whitman College. He co-authored eight books, including University Calculus and Thomas' Calculus.

Przemyslaw Bogacki is an Associate Professor of Mathematics and Statistics and a University Professor at Old Dominion University. He received his PhD in 1990 from Southern Methodist University. He is also the author of a text on linear algebra, which appeared in 2019. He is actively involved in applications of technology in collegiate mathematics. His areas of research include computer aided geometric design and numerical solution of initial value problems for ordinary differential equations.