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-65%Calculus: A Rigorous First Course—
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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.
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.
Aurora Original.
non-fiction; mathematical studies; books on math; calculus; mathematics; first-year calculus; limits; derivatives; integrals; and infinite series; basic algebra and trigonometry; concepts of calculus; daniel j. velleman; geometry; algebra; complex, Aurora; Limit Theorems; Nested Interval Theorem; Monotone Sequences; Derivatives; Implicit Differentiation; The Mean Value Theorem; Antiderivatives; Inverse Functions; The Exponential Function; Numerical Integration Parametric Equations; Polar Coordinates; Infinite Series; Power Series; Taylor Series; The Binomial Series; Taylor PolynomialsDescription
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.
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.
Aurora Original.
non-fiction; mathematical studies; books on math; calculus; mathematics; first-year calculus; limits; derivatives; integrals; and infinite series; basic algebra and trigonometry; concepts of calculus; daniel j. velleman; geometry; algebra; complex, Aurora; Limit Theorems; Nested Interval Theorem; Monotone Sequences; Derivatives; Implicit Differentiation; The Mean Value Theorem; Antiderivatives; Inverse Functions; The Exponential Function; Numerical Integration Parametric Equations; Polar Coordinates; Infinite Series; Power Series; Taylor Series; The Binomial Series; Taylor Polynomials
