Description Thomas' Calculus offers a modern and robust introduction to calculus, enhancing students' understanding of the underlying mathematical ideas. Intuitive and precise explanations, thoughtfully chosen examples, and time-tested exercise sets form the foundation of this text. A hallmark feature has been the application of calculus to science and engineering; this text supports a calculus sequence typically taken by students in STEM fields over several semesters.
Key Features
NEW! Two online chapters, "Complex Functions" and "Fourier Series and Wavelets," along with an online appendix on optimization, have been added for students interested in more advanced topics.
Clear, easy-to-understand examples, coupled with their solutions, are reinforced by their application to real-world problems of immediate interest to students.
Historical Biography boxes peppered throughout the text discuss the life and contributions of eminent mathematicians - including Carl Friedrich Gauss, Richard Dedekind, and Johann Bernoulli and work with the surrounding text to contextualize concepts.
Writing exercises ask students to explore and explain a variety of calculus concepts and applications.
In addition to end-of-section exercises, each chapter culminates with Questions to Guide Your Review, Practice Exercises covering the entire chapter, and a series of Additional and Advanced Exercises with more challenging or synthesizing problems.
Most chapters also include Technology Application Projects that can be worked by students individually or in groups over a longer period of time.
Available separately for purchase is MyLabTM Math for Thomas' Calculus, the teaching and learning platform that empowers instructors to personalize learning for every student. For the fifteenth edition, Przemyslaw Bogacki-an academic with over thirty years of experience--has joined the author team. Bogacki has diligently reviewed the exercises and solutions in MyLab Math for mathematical accuracy, fidelity with text methods, and effectiveness for students. Over 100 new Setup & Solve exercises, selected by Bogacki, are designed to help students' focus on the process of problem solving by requiring them to set up their equations before moving on to the solution. Newly added GeoGebra Exercises are gradable graphing and computational exercises that help students demonstrate their understanding. When combined with Pearson's trusted educational content, this optional suite helps deliver the desired learning outcomes.
Table of Contents
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)
George B. Thomas, Massachusetts Institute of Technology Joel R. Hass University of California, Davis Christopher E. Heil Georgia Institute of Technology Maurice D. Weir Naval Postgraduate School Przemyslaw Bogacki Old Dominion University