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Elementary Analysis through Examples and Exercises

Name: Elementary Analysis through Examples and Exercises
Brand: Springer Netherlands
SKU: 01394832
Price: 39881 HUF
Availability: InStock
Author: J. Schmeelk
ISBN: 9780792335979

J. Schmeelk

Djurdjica Takaci

Arpad Takaci

Language

English

Book Hardback

Libristo code: 01394832

Publishers Springer Netherlands, November 1994

This volume on mathematical analysis offers a comprehensive set of both traditional and new examples... Full description

Libristo code: 01394832

271 b

39 881 Ft

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This volume on mathematical analysis offers a comprehensive set of both traditional and new examples and exercises with detailed solutions. It includes many topics important in current research that are not found in other basic analysis books. It begins with a comparison of real numbers viewed as a totally ordered field or, alternatively, constructed using the Dedekind cut method. Properties surrounding real numbers are explored and many interesting relationships are proven using mathematical induction. Functions are then developed with special emphasis on topics such as asymptotics, n-levels of composition and periodicity of certain functions. Sequences and series for both the discrete and continuous case are concurrently developed showing contrast wherever possible. The order of growth for sequences diverging to infinity is incorporated with its counterpart given for functions. The usual properties of functions, together with their limit theory including the differential calculus are compared carefully with examples illustrating their fundamental properties. The graphs of these functions are then closely studied giving as much detail as possible for a wide variety of functions. Audience: Undergraduate and graduate students in all areas of mathematical science and its applications.