Introduction to Analysis

Name: Introduction to Analysis
Price: 34.79 USD
Availability: InStock
ISBN: 9780130811325

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.

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