Multivariable Calculus, 2/e
Gerald L. Bradley, Claremont - McKenna College
Karl J. Smith, Santa Rosa Junior College
Published September, 1998 by Prentice Hall Engineering/Science/Mathematics
Copyright 1999, 471 pp.
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This text was the first written to blend much of the best
aspects of calculus reform with the reasonable goals and methodology
of traditional calculus. While incorporating much of calculus reform,
Calculus, 2/e does not throw the baby out with the bath
water. Calculus should not be a terminal course, but rather,
one that prepares students in engineering, science, and math to move
on to more advanced and necessary career or professional courses.
This text addresses topics such as continuity, parametric equations,
polar coordinates, sequences, and series. In short, this text is an
attempt at Reform with Reason. The second edition now features
a new chapter on differential equations.
NEWA chapter on differential equations has
NEWModeling was added as a major theme in
this edition. In Section 2.1, modeling is introduced and then included
in almost every section of the book. These applications are designated
NEWNotes from the history of calculus are
presented in the form of problems which lead the reader from
the development of a concept to actually participating in the discovery
process. These are designated as Historical Quest problems,
which are not designed to be add-on or challenge problems,
but they were crafted to become an integral part of the usual set
of assigned problems. The level of difficulty of Quest problems
ranges from easy to difficult.
NEWA more streamlined text layout with clearer
NEWA calculus Website which provides
a Net Tutor, interactive quizzes, links to other math sites, and a
Students benefit from innovative pedagogy and a superb range
Concepts are presented using the Rule of Three
to reinforce and strengthen important ideas.
Qualitative and quantitative problems demonstrate an extremely
wide variety of mathematical, engineering, scientific, and social
What This Says summarizes important ideas
in words the students can understand. In turn, there are questions
called What Does This Say? to encourage students to
put their ideas into words.
Journal Problems, Think Tank Problems,
and Putnam Problems require original mathematical
(NOTE: Each chapter concludes with a Review
and a Group Research Project or a Guest Essay.)
10. Vectors in the Plane and in Space.
11. Vector-Valued Functions.
12. Partial Differentiation.
13. Multiple Integration.
14. Vector Analysis.
15. Introduction to Differential Equations.
A. Introduction to the Theory of Limits.
B. Selected Proofs.
C. Significant Digits.
D. Short Table of Integrals.
E. Answers to Selected Problems.