[Book Cover]

Calculus, 2/e

Gerald L. Bradley, Claremont - McKenna College
Karl Smith, Santa Rosa Junior College

Published August, 1998 by Prentice Hall Engineering/Science/Mathematics

Copyright 1999, 1056 pp.
Cloth
ISBN 0-13-660135-9


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Summary

For courses in Calculus for students in engineering, science, and math. Built from the ground up to meet the needs of today's calculus students, Bradley/Smith, Calculus was the first text to pair a complete calculus syllabus with the best elements of reform—like extensive verbalization and strong geometric visualization. The Second Edition of this groundbreaking text has been crafted and honed, making it the text of choice for those seeking the best of both worlds.

Features


NEW—Early introduction to transcendental functions—Introduced in Chapter 1 and then integrated throughout the first five chapters of the text.
NEW—Modeling added as a major theme—Introduced in Section 2.1 and integrated throughout the rest of the book. These applications are designated as MODELING PROBLEMS.
NEW—Greater text visualization—There is more use of graphs and other mathematical pictures throughout the text than in the previous edition. Over 1,900 graphs appear—more than nearly any other calculus text.

  • Helps students develop greater intuition by providing explanation to supplement and/or replace that of the text prose. Since many tough calculus problems are often tough geometry (and algebra) problems, this increased emphasis on graphs will help students' problem-solving skills.
NEW—Expanded coverage of differential equations—Slope fields are introduced as a geometric view of antidifferentiation in Section 5.1 and then used to introduce a graphical solution to differential equations in Section 5.6. Separable differential equations are considered in Chapter 5 and first-order linear equations in Chapter 7. A whole new chapter (15) has been added that covers exact and homogeneous differential equations as well as an introduction to second-order linear equations.
  • Since students in many applied disciplines need to use differential equations early in their studies, this approach is intended to illustrate their value in continuous modeling and to provide a solid foundation for further study.
NEW—Calculus website www.prenhall.com/bradley—Provides additional applied examples and problems, animations that explore “what if” scenarios, exciting links to other math sites on the web, true/false quizzes to emphasize key concepts, and a syllabus manager for professors.
  • Allows students to enhance their learning experience by entering the mathematical world on-line.
NEW—Cleaner text layout—Artwork is nicely spaced and color is used functionally as a pointer, not as a decoration.
Superb range of problem sets (1500 of which are new) that test student skills in a wide variety of ways.
— Historical Quest problems
— Think Tank problems (requiring    formulation of counterexamples   for false statements)
— Modeling problems
— What Does This Say? problems
— Putnam Exam problems
— Journal Literature problems
— Spy Serial problems
Unique Student Math Handbook—Shrinkwrapped with every new copy of the text (FREE), this handbook provides precalculus review material, a catalog of curves, and integral tables. Students are guided by the text to consult it in potential trouble spots by the appearance of the SMH symbol in the margin. This helpful guide is the only one of its kind.
  • A majority of errors that students make in calculus are errors in algebra and trigonometry. The manual provides a unified and complete treatment of this prerequisite material important for succeeding in calculus when and WHERE the student needs it.
Emphasis on verbalization“What This Says” boxes rephrase mathematical ideas in plain English for the student. “What Does This Say?” problems ask the student to explain in words the key math concepts of each section. Mathematical Essay problems follow the Guest Essays at the end of some chapters.
  • Cultivating verbal skills helps students think conceptually. These features show students that mathematics is more than working problems and getting answers.


Table of Contents
(NOTE: Each chapter concludes with a Review and a Group Research Project or a Guest Essay.)
    1. Preview of Calculus: Functions and Graphs.
    2. Limits and Continuity.
    3. Differentiation.
    4. Additional Applications of the Derivative.
    5. Integration.
    6. Additional Applications of the Integral.
    7. Methods of Integration.
    8. Infinite Series.
    9. Polar Coordinates and Parametric Forms.
    10. Vectors in the Plane and in Space.
    11. Vector-Valued Functions.
    12. Partial Differentiation.
    13. Multiple Integration.
    14. Introduction to Vector Analysis.
    15. Introduction to Differential Equations.
    Appendices:
    A. Introduction to the Theory of Limits.
    B. Selected Proofs.
    C. Significant Digits.
    D. A Brief Table of Integrals.
    E. Answers to Odd-Numbered Problems.


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