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Full Description
For three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or science
Clarity and precision
Thomas' Calculus: Early Transcendentals helps students reach the level of mathematical proficiency and maturity you require, but with support for students who need it through its balance of clear and intuitive explanations, current applications, and generalised concepts. In the 14th SI Edition, new co-author Christopher Heil (Georgia Institute of Technology) partners with author Joel Hass to preserve what is best about Thomas' time-tested text while reconsidering every word and every piece of art with today's students in mind. The result is a text that goes beyond memorising formulas and routine procedures to help students generalise key concepts and develop deeper understanding.
Contents
1. Functions
2. Limits and Continuity
3. Derivatives
4. Applications of Derivatives
5. Integrals
6. Applications of Definite Integrals
7. Integrals and 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
Appendices
1. Real Numbers and the Real Line AP-1
2 Graphing with Software
3. Mathematical Induction AP-6
4 Lines, Circles, and Parabolas AP-9
5 Proofs of Limit Theorems AP-19
6 Commonly Occurring Limits AP-22
7 Theory of the Real Numbers AP-23
8 Complex Numbers AP-26
9. Probability
10. The Distributive Law for Vector Cross Products AP-34
11. The Mixed Derivative Theorem and the Increment Theorem
