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This title in other editions

A first course in analysis

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A first course in analysis Cover

 

Synopses & Reviews

Publisher Comments:

"""A First Course in Analysis"" is a new approach to the elements of real analysis for post-calculus students. The text outlines the evolution of number systems, then proceeds to introduce the fundamental ideas of completeness, compactness and continuity via a plausible heuristic investigation of the problem of extreme values. The author then presents the standard properties of continuous functions, along with a continuity-focused development of the elementary functions. The book concludes with chapters on the foundations of calculus: differentiation, integration, and infinite series. Applications and looks-ahead to more advanced analysis are pointed out. This text can be adapted not only to courses of different lengths and emphasis, but also to different modes of classroom presentation. In particular, it complements a strictly deductive presentation, that begins, say, with the ordered field axioms."

Synopsis:

This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The reader will find the focus of attention shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation.

Description:

Includes bibliographical references (p. 266-267) and index.

Table of Contents

- Number Systems.
- Approximation: The Real Numbers.
- The Extreme-Value Problem.
- Continuous Functions.
- Differentiation.
- Integration.
- Infinite Series.
- Bibliography.
- Index

Product Details

ISBN:
9780387941080
Author:
Pedrick, George
Publisher:
Springer
Location:
New York :
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Analysis
Subject:
Mathematics-Calculus
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Undergraduate Texts in Mathematics
Series Volume:
103-8
Publication Date:
March 1994
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
300
Dimensions:
235 x 155 mm 1350 gr

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» Science and Mathematics » Mathematics » Calculus » General

A first course in analysis New Hardcover
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Product details 300 pages Springer-Verlag,c1994. - English 9780387941080 Reviews:
"Synopsis" by , This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The reader will find the focus of attention shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation.
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