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Exploring the Infinite : An Introduction to Proof and Analysis (Hardcover) (Jennifer Brooks)

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This text introduces proof and analysis by describing the processes of abstraction and logical argumentation and help students transition to practitioners of mathematics. It aims to help students move beyond knowledge of the definitions of mathematical structures, elementary logic, and standard proof techniques and learn to explore mathematical situations, make conjectures, and apply methods of proof. Chapters describe proof and abstract mathematics, including induction, basic logic, elementary set theory, functions and relations, and basic number theory and combinatorics, then the basic concepts of analysis, including limits of sequences of real numbers and functions, infinite series, the structure of the real line, and continuous functions. The text assumes that readers know that the real number system satisfies the ordered field axioms. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)
Number of Pages: 283
Genre: Mathematics
Series Title: Textbooks in Mathematics
Format: Hardcover
Publisher: Taylor & Francis
Author: Jennifer Brooks
Language: English
Street Date: December 12, 2016
TCIN: 51537624
UPC: 9781498704496
Item Number (DPCI): 248-25-9122
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