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.
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For courses in Calculus for students in engineering, science,
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 reformlike
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.
NEWEarly introduction to transcendental
functionsIntroduced in Chapter 1 and then integrated throughout
the first five chapters of the text.
NEWModeling added as a major themeIntroduced
in Section 2.1 and integrated throughout the rest of the book. These
applications are designated as MODELING PROBLEMS.
NEWGreater text visualizationThere
is more use of graphs and other mathematical pictures throughout the
text than in the previous edition. Over 1,900 graphs appearmore
than nearly any other calculus text.
NEWExpanded coverage of differential equationsSlope
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
- 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
NEWCalculus website www.prenhall.com/bradleyProvides
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.
- 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.
NEWCleaner text layoutArtwork
is nicely spaced and color is used functionally as a pointer, not
as a decoration.
- Allows students to enhance their learning experience
by entering the mathematical world on-line.
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)
What Does This Say? problems
Putnam Exam problems
Journal Literature problems
Spy Serial problems
Unique Student Math HandbookShrinkwrapped 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.
Emphasis on verbalizationWhat 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.
- 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.
- Cultivating verbal skills helps students think conceptually.
These features show students that mathematics is more than working
problems and getting answers.
(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.
4. Additional Applications of the Derivative.
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.
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.