Leseprobe
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Calculus: A Rigorous First Course
Daniel J. Velleman
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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.
Kundenbewertungen
Taylor Polynomials, mathematical studies, concepts of calculus, books on math, Numerical Integration Parametric Equations, Nested Interval Theorem, Inverse Functions, daniel j. velleman, algebra, limits, Power Series, Polar Coordinates, Infinite Series, complex, Aurora, Implicit Differentiation, basic algebra and trigonometry, first-year calculus, The Exponential Function, Taylor Series, calculus, integrals, derivatives, Antiderivatives, Limit Theorems, Monotone Sequences, mathematics, The Binomial Series, The Mean Value Theorem, non-fiction, and infinite series, Derivatives, geometry