Synopses & Reviews
The Third Edition of CALCULUS reflects the strong consensus within the mathematics community for a new balance between the contemporary ideas of the original editions of this book and ideas and topics from earlier calculus books. Building on previous work, this Third Edition has the same philosophy as earlier editions but represents a new balance of topics. CALCULUS 3/e brings together the best of both new and traditional curricula in an effort to meet the needs of even more instructors teaching calculus. The author team's extensive experience teaching from both traditional and innovative books and their expertise in developing innovative problems put them in an unique position to make this new curriculum meaningful to students going into mathematics and those going into the sciences and engineering. The authors believe the new edition will work well for those departments who are looking for a calculus book that offers a middle ground for their calculus instructors.
CALCULUS 3/e exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that students can read and understand and a flexible approach to technology. The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students.
Review
"...more than enough material here...wide ranging in its material..." (Times Higher Education Supplement, 28 Nov 2003)
Synopsis
A revision of the best selling innovative Calculus text on the market. Functions are presented graphically, numerically, algebraically, and verbally to give readers the benefit of alternate interpretations. The text is problem driven with exceptional exercises based on real world applications from engineering, physics, life sciences, and economics.
About the Author
Deborah Hughes-Hallett, Harvard University
Table of Contents
A Library of Functions.
Key Concept: The Derivative.
Key Concept: The Definite Integral.
Short-Cuts to Differentiation.
Using the Derivative.
Constructing Antiderivatives.
Integration.
Using the Definite Integral.
Approximations and Series.
Differential Equations.
Functions of Many Variables.
A Fundamental Tool: Vectors.
Differentiating Functions of Many Variables.
Optimization: Local and Global Extrema.
Integrating Functions of Many Variables.
Parameterized Curves.
Vector Fields.
Line Integrals.
Flux Integrals.
Calculus of Vector Fields.
Answers to Odd Numbered Problems.
Index.