Description
The Real Numbers and Real Analysis, 2011
Author: Bloch Ethan D.
Language: EnglishSubject for The Real Numbers and Real Analysis:
Approximative price 60.12 €
In Print (Delivery period: 15 days).
Add to cart the book of Bloch Ethan D.Publication date: 11-2014
554 p. · 15.5x23.5 cm · Paperback
Approximative price 73.84 €
In Print (Delivery period: 15 days).
Add to cart the book of Bloch Ethan D.Publication date: 05-2011
554 p. · 15.5x23.5 cm · Hardback
Description
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This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. It is organized in a distinctive, flexible way that would make it equally appropriate to undergraduate mathematics majors who want to continue in mathematics, and to future mathematics teachers who want to understand the theory behind calculus.
The Real Numbers and Real Analysis will serve as an excellent one-semester text for undergraduates majoring in mathematics, and for students in mathematics education who want a thorough understanding of the theory behind the real number system and calculus.
Provides an unusually thorough treatment of the real numbers, emphasizing their importance as the basis of real analysis
Presents material in an order resembling that of standard calculus courses, for the sake of student familiarity, and for helping future teachers use real analysis to better understand calculus
Emphasizes the direct role of the Least Upper Bound Property in the study of limits, derivatives and integrals, rather than making use of sequences for proofs
Presents the equivalence of various important theorems of real analysis with the Least Upper Bound Property
Relates real analysis to previously learned materal, including detailed discussion of such topics as the transcendental functions, area and the number pi
Offers three different entryways into the study of real numbers, depending on the student audience
Contains historical context, biographical anecdotes, and reflections on the material in each chapter
Includes over 350 exercises, reinforcing concepts
Includes supplementary material: sn.pub/extras