Calculus: A Rigorous First Course (Aurora: Dover Modern Math Originals) - Softcover

Velleman, Daniel

9780486809366: Calculus: A Rigorous First Course (Aurora: Dover Modern Math Originals)

Softcover

ISBN 10: 0486809366 ISBN 13: 9780486809366

Verlag: Dover Publications Inc, 2017

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Designed for undergraduate math majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Prerequisites are a solid background in algebra and trigonometry. This original text is printed in two colors and provides substantial problems and complete proofs. Solutions will be available to instructors.

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Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness.
No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.
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