Calculus
Author(s)
Bibliographic Information
Calculus
Wiley, c2002
3rd ed
- Other Title
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Single and multivariable
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Note
Includes index
Description and Table of Contents
Description
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.
Table of Contents
A Library of Functions.Key Concept: The Derivative. Short--Cuts to Differentiation.Using the Derivative. Key Concept: The Definite Integral.Constructing Antiderivatives.Integration.Using the Definite Integral.Series. Approximating Functions. Differential Equations. Functions of Several Variables. A Fundamental Tool: Vectors.Differentiating Functions of Several Variables. Optimization: Local and Global Extrema.Integrating Functions of Several Variables. Parameterization and Vector Fields. Line Integrals. Flux Integrals. Calculus of Vector Fields. Appendix A: Roots, Accuracy, and Bounds.Appendix B: Polar Coordinates. Appendix C: Complex Numbers. Appendix D: Newton's Method. Appendix E: Determinants.Ready Reference. Answers to Odd Numbered Problems. Index.
by "Nielsen BookData"