Introduction to Analysis
Edition: 2nd 2010 (Revised)
List price: $181.95
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Description: Part of the Jones and Bartlett International Series in Advanced Mathematics Completely revised and update, the second edition of An Introduction to Analysis presents a clear and comprehensive introduction to the basic concepts of analysis. It is designed for a one-term course, following a calculus sequence, at the undergraduate level. The authors present important topics from calculus in a rigorous manner and develop students' ability to work in an abstract setting with precise definitions and complete proofs. Numerous examples are presented to demonstrate abstract statements in simpler numerical settings. A broad collection of accessible problems, found at the end of each section, ask students to test themselves on key material.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $181.95
Copyright year: 2010
Publisher: Jones & Bartlett Learning, LLC
Publication date: 8/11/2009
Size: 7.50" wide x 9.00" long x 0.75" tall
David B. Morris is University Professor of English at the University of Virginia. He is the author of many books, including The Culture of Pain .
|The Real Numbers|
|Algebraic and order properties|
|The positive integers|
|The least upper bound axiom|
|Sequences and limits|
|Sequences defined inductively|
|Functions and Continuity|
|Limit of a function|
|Intermediate values, extreme values|
|Functions of two variables|
|Definition of the derivative|
|Rules for differentiation|
|The Mean Value Theorem|
|Differentiability in R2|
|The definition of the integral|
|Properties of the integral|
|The Fundamental Theorem of Calculus|
|Sequences and Series of Functions|
|Consequences of uniform convergence|
|Introduction to Differential Equations|
|Elementary first order differential equations|
|Existence and uniqueness|
|Power series solutions|
|Appendix: Solutions and Hints for Selected Problems|
|List of Symbols|