"A richly textured, flexible text with a variety of options in addition to a solid core of standard material." — Current Science A well-respected treatment of one variable calculus, this book also covers plane analytic geometry and infinite series. Its comprehensive nature allows instructors to use it in many ways, and the rigorous approach provides intuitive insights and a feeling for the way the calculus is applied. Geared toward undergraduate students of mathematics, the text requires a solid command of high school mathematics, including algebra, geometry, and trigonometry. Topics include the use of basic theorems on limits; techniques of differentiation; the characterization of real numbers as a complete, ordered field; mean-value theorems and their applications; a new perspective on the Riemann integral; transcendental functions; techniques of integration; and more. Numerous illustrative examples and figures appear throughout the volume, along with problems of many types and of varying levels of difficulty.
"A richly textured, flexible text with a variety of options in addition to a solid core of standard material." — Current Science A well-respected treatment of one variable calculus, this book also covers plane analytic geometry and infinite series. Its comprehensive nature allows instructors to use it in many ways, and the rigorous approach provides intuitive insights and a feeling for the way the calculus is applied. Geared toward undergraduate students of mathematics, the text requires a solid command of high school mathematics, including algebra, geometry, and trigonometry. Topics include the use of basic theorems on limits; techniques of differentiation; the characterization of real numbers as a complete, ordered field; mean-value theorems and their applications; a new perspective on the Riemann integral; transcendental functions; techniques of integration; and more. Numerous illustrative examples and figures appear throughout the volume, along with problems of many types and of varying levels of difficulty.
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