Advanced Calculus

Автор: Gersting Judith L.
Название: Technical Calculus with Analytic Geometry
ISBN: 048667343X ISBN-13(EAN): 9780486673431
Издательство: Dover
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Цена: 18990.00 T
Наличие на складе: Нет в наличии.

Автор: Richard A. Silverman
Название: Modern Calculus and Analytic Geometry
ISBN: 0486421007 ISBN-13(EAN): 9780486421001
Издательство: Dover
Рейтинг:
Цена: 49640.00 T
Наличие на складе: Невозможна поставка.
Описание: A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory -- many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized, unified text is copiously illustrated, amply cross-referenced, and fully indexed.

Автор: Keisler H. Jerome
Название: Elementary Calculus: An Infinitesimal Approach
ISBN: 0486484521 ISBN-13(EAN): 9780486484525
Издательство: Dover
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Цена: 33050.00 T
Наличие на складе: Невозможна поставка.
Описание: This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that originally led to the calculus, simplifying their grasp of the central concepts of derivatives and integrals. The author also teaches the traditional approach, giving students the benefits of both methods.
Chapters 1 through 4 employ infinitesimals to quickly develop the basic concepts of derivatives, continuity, and integrals. Chapter 5 introduces the traditional limit concept, using approximation problems as the motivation. Later chapters develop transcendental functions, series, vectors, partial derivatives, and multiple integrals. The theory differs from traditional courses, but the notation and methods for solving practical problems are the same. The text suggests a variety of applications to both natural and social sciences.

Автор: Silverman, Richard A.
Название: Essential Calculus with Applications
ISBN: 0486660974 ISBN-13(EAN): 9780486660974
Издательство: Dover
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Цена: 13190.00 T
Наличие на складе: Невозможна поставка.
Описание: Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate-level students to the problem-solving techniques that make a working knowledge of calculus indispensable for any mathematician.
The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other "precalculus" material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables.
Numerous problems and answers, and a newly added section of "Supplementary Hints and Answers," enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline.