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Calculus for K-12 Textbooks

by Howard Anton

Edition: 7TH 02Copyright: 2002

Publisher: John Wiley & Sons, Inc.

Published: 2002

International: No

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Designed for the Calculus I-II-III sequence, the seventh edition continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. The new edition retains the strengths of earlier editions--Anton's trademark clarity of exposition, sound mathematics, excellent exercises and examples, and appropriate level--while incorporating new ideas that have withstood the objective scrutiny of many skilled and thoughtful instructors. For the first time, the seventh edition is available in both Late Transcendentals and Early Transcendentals versions.

Introduction Calculus: A New Horizon from Ancient Roots.

Functions

Limits and Continuity

The Derivative

Exponential, Logarithmic, and Inverse Trigonometric Functions

The Derivative in Graphing and Applications.

Integration

Applications of the Definite Integral in Geometry, Science, and Engineering

Principles of Integral Evaluation

Mathematical Modeling with Differential Equations

Infinite Series

Analytic Geometry in Calculus

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derviatives

Multiple Integrals

Appendix A: Real Numbers, Intervals, and Inequalities

Appendix B: Absolute Value

Appendix C: Coordinate Planes and Lines

Appendix D: Distance, Circles, and Quadratic Equations

Appendix E: Trigonometry Review

Appendix F: Solving Polynomial Equations

Appendix G: Selected Proofs

Answers

Photo Credits

Index.

Summary

Designed for the Calculus I-II-III sequence, the seventh edition continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. The new edition retains the strengths of earlier editions--Anton's trademark clarity of exposition, sound mathematics, excellent exercises and examples, and appropriate level--while incorporating new ideas that have withstood the objective scrutiny of many skilled and thoughtful instructors. For the first time, the seventh edition is available in both Late Transcendentals and Early Transcendentals versions.

Table of Contents

Introduction Calculus: A New Horizon from Ancient Roots.

Functions

Limits and Continuity

The Derivative

Exponential, Logarithmic, and Inverse Trigonometric Functions

The Derivative in Graphing and Applications.

Integration

Applications of the Definite Integral in Geometry, Science, and Engineering

Principles of Integral Evaluation

Mathematical Modeling with Differential Equations

Infinite Series

Analytic Geometry in Calculus

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derviatives

Multiple Integrals

Appendix A: Real Numbers, Intervals, and Inequalities

Appendix B: Absolute Value

Appendix C: Coordinate Planes and Lines

Appendix D: Distance, Circles, and Quadratic Equations

Appendix E: Trigonometry Review

Appendix F: Solving Polynomial Equations

Appendix G: Selected Proofs

Answers

Photo Credits

Index.

Publisher Info

Publisher: John Wiley & Sons, Inc.

Published: 2002

International: No

Published: 2002

International: No

Functions

Limits and Continuity

The Derivative

Exponential, Logarithmic, and Inverse Trigonometric Functions

The Derivative in Graphing and Applications.

Integration

Applications of the Definite Integral in Geometry, Science, and Engineering

Principles of Integral Evaluation

Mathematical Modeling with Differential Equations

Infinite Series

Analytic Geometry in Calculus

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derviatives

Multiple Integrals

Appendix A: Real Numbers, Intervals, and Inequalities

Appendix B: Absolute Value

Appendix C: Coordinate Planes and Lines

Appendix D: Distance, Circles, and Quadratic Equations

Appendix E: Trigonometry Review

Appendix F: Solving Polynomial Equations

Appendix G: Selected Proofs

Answers

Photo Credits

Index.