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Addison-Wesley / Prentice Hall

Mathematics

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Calculus, 3/E
Monty J. StraussTexas Tech University
Gerald L. BradleyClaremont-McKenna College
Karl J. SmithSanta Rosa Junior College

ISBN-10: 0130918717
ISBN-13:  9780130918710

Publisher:  Pearson
Copyright:  2002
Format:  Cloth; 1104 pp
Published:  03/14/2002
Status: Out of Print


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For courses in Calculus for students majoring in engineering, science, and math.

Built from the ground up to meet the needs of today's calculus students, 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 Third Edition of this groundbreaking text has been crafted and honed, making it the text of choice for those seeking the best of both worlds. This text also features the most varied, challenging and compelling exercise sets of any text in the market.

  • NEW - Co-author—Monty J. Strauss, a dedicated user, has been brought on for this revision. He is making sure that every word, every number, and each calculation is precisely and accurately done.
  • NEW - New section on applications to business, economics, and the life sciences—Added to Chapter 6.
    • Helps students to see how calculus relates to and is used in multiple disciplines.

  • NEW - Cumulative reviews added at appropriate points in single variable calculus.
    • Allows students to quickly reference review material.

  • NEW - Material on polar coordinates and parametric forms is now integrated—Polar coordinates have been moved to Chapter 6 and parametric representations have been moved to the chapter on vectors in the plane and space.
  • NEW - Multivariable Calculus is extensively rewritten, with new problem sets added.
    • Gives students a solid introduction to multivariable calculus. Also increases the value of this text as a reference guide for those taking further advanced classes.

  • NEW - Free CD with every copy—Nearly every text example is animated and there are 10 true/false questions per section. Also contains Student Math Handbook.
  • NEW - Earlier coverage of L'Hopîtal's Rule.
    • Allows instructors to explore more interesting applications like curve sketching.

  • NEW - Curve sketching using first and second derivative tests in one section.
  • NEW - Volumes by disks, washers, and shells in one section.
  • NEW - Appendix with trigonometric formulas.
  • More fluid introduction of transcendental functions—Introduced early and then integrated throughout the first five chapters of the text.
    • Now occurs after the concept of a limit to increase student comprehension.

  • Modeling is emphasized throughout—Introduced in Chapter 3 and integrated throughout the rest of the book. These applications are designated as MODELING PROBLEMS .
  • 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, as well as augmenting students' problem-solving skills.

  • Strong 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. Chapter 14 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.

  • Calculus website www.prenhall.com/strauss—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.

  • Superb range of problem sets (Many of which are new) that test student skills in a wide variety of ways.
    • — Historical Quest problems
    • — Counterexample problems
    • — Modeling problems
    • — What Does This Say? problems
    • — Putnam Exam problems
    • — Journal Literature problems
    • — Spy Serial problems
  • Unique Student Math Handbook comes free on the Student CD (also available as an optional print supplement)—Free with every new copy of the text. It 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.

  • Co-author—Monty J. Strauss, a dedicated user, has been brought on for this revision. He is making sure that every word, every number, and each calculation is precisely and accurately done.
  • New section on applications to business, economics, and the life sciences—Added to Chapter 6.
    • Helps students to see how calculus relates to and is used in multiple disciplines.

  • Cumulative reviews added at appropriate points in single variable calculus.
    • Allows students to quickly reference review material.

  • Material on polar coordinates and parametric forms is now integrated—Polar coordinates have been moved to Chapter 6 and parametric representations have been moved to the chapter on vectors in the plane and space.
  • Multivariable Calculus is extensively rewritten, with new problem sets added.
    • Gives students a solid introduction to multivariable calculus. Also increases the value of this text as a reference guide for those taking further advanced classes.

  • Free CD with every copy—Nearly every text example is animated and there are 10 true/false questions per section. Also contains Student Math Handbook.
  • Earlier coverage of L'Hopîtal's Rule.
    • Allows instructors to explore more interesting applications like curve sketching.

  • Curve sketching using first and second derivative tests in one section.
  • Volumes by disks, washers, and shells in one section.
  • Appendix with trigonometric formulas.



 1. 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. Vectors in the Plane and in Space.


10. Vector-Valued Functions.


11. Partial Differentiation.


12. Multiple Integration.


13. Introduction to Vector Analysis.


14. Introduction to Differential Equations.


Appendices:


A. Introduction to the Theory of Limits.


B. Selected Proofs.


C. Significant Digits.


D. Short Table of Integrals.


E. Trigonometric Formulas.


F. Answers to Odd-Numbered Problems.

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