Introduction to Analysis

ISBN-10: 0130811327

ISBN-13: 9780130811325

Edition: 1999

Authors: Arthur Mattuck
List price: $95.33
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Description: KEY BENEFIT:This new book is written in a conversational, accessible style, offering a great deal of examples. It gradually ascends in difficulty to help the student avoid sudden changes in difficulty.Discusses analysis from the start of the book, to avoid unnecessary discussion on real numbers beyond what is immediately needed. Includes simplified and meaningful proofs. FeaturesExercises and Problemsat the end of each chapter as well asQuestionsat the end of each section with answers at the end of each chapter. Presents analysis in a unified way as the mathematics based on inequalities, estimations, and approximations.For mathematicians.

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Book details

List price: $95.33
Copyright year: 1999
Publisher: Prentice Hall PTR
Publication date: 8/21/1998
Binding: Hardcover
Pages: 460
Size: 7.25" wide x 9.50" long x 1.00" tall
Weight: 1.848
Language: English

Real Numbers and Monotone Sequences
Estimations and Approximations
The Limit of a Sequence
The Error Term
Limit Theorems for Sequences
The Completeness Principle
Infinite Series
Power Series
Functions of One Variable
Local and Global Behavior
Continuity and Limits of Functions
The Intermediate Value Theorem
Continuous Functions on Compact Intervals
Differentiation: Local Properties
Differentiation: Global Properties
Linearization and Convexity
Taylor Approximation
Integrability
The Riemann Integral
Derivatives and Integrals
Improper Integrals
Sequences and Series of Functions
Infinite Sets and the Lebesgue Integral
Continuous Functions on the Plane
Point-sets in the Plane
Integrals with a Parameter
Differentiating Improper Integrals
Appendix
Sets, Numbers, and Logic
Quantifiers and Negation
Picardrsquo;s Method
Applications to Differential Equations
Existence and Uniqueness of ODE Solutions
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