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Realanalyse verstehen - Hardcover, von Zorn Paul; Zorn Paul - sehr gut

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Artikelzustand
Sehr gut: Buch, das nicht neu aussieht und gelesen wurde, sich aber in einem hervorragenden Zustand ...
Book Title
Understanding Real Analysis
ISBN
9781568814155
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
A + K Peter's, The Limited
ISBN-10
1568814151
ISBN-13
9781568814155
eBay Product ID (ePID)
66989248

Product Key Features

Number of Pages
362 Pages
Publication Name
Understanding Real Analysis
Language
English
Subject
Functional Analysis, Mathematical Analysis
Publication Year
2010
Type
Textbook
Author
Paul Zorn
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
0.9 in
Item Weight
24.8 Oz
Item Length
9.3 in
Item Width
7.5 in

Additional Product Features

Intended Audience
College Audience
LCCN
2009-037044
Reviews
This is a textbook designed to teach students who are new to analysis what ite(tm)s all about. ... The path Zorn takes is based on several very reasonable principles. These include: building on calculus basics; focusing on mathematical proof, structure and language; staying with the basics; offering many examples and many solved exercises; and gradually increasing technical sophistication. ... There are plenty of exercises. They tend to follow a pattern where an exercise that is not completely straightforward is broken into multiple parts to guide the student to a solution. -- Bill Satzer, MAA Reviews, June 2010, This is a textbook designed to teach students who are new to analysis what it "s all about. ... The path Zorn takes is based on several very reasonable principles. These include: building on calculus basics; focusing on mathematical proof, structure and langua≥ staying with the basics; offering many examples and many solved exercises; and gradually increasing technical sophistication. ... There are plenty of exercises. They tend to follow a pattern where an exercise that is not completely straightforward is broken into multiple parts to guide the student to a solution. -- Bill Satzer, MAA Reviews,June 2010, This is a textbook designed to teach students who are new to analysis what it's all about. ... The path Zorn takes is based on several very reasonable principles. These include: building on calculus basics; focusing on mathematical proof, structure and langua≥ staying with the basics; offering many examples and many solved exercises; and gradually increasing technical sophistication. ... There are plenty of exercises. They tend to follow a pattern where an exercise that is not completely straightforward is broken into multiple parts to guide the student to a solution. -- Bill Satzer, MAA Reviews, June 2010, This is a textbook designed to teach students who are new to analysis what it's all about. ... The path Zorn takes is based on several very reasonable principles. These include: building on calculus basics; focusing on mathematical proof, structure and langua≥ staying with the basics; offering many examples and many solved exercises; and gradually increasing technical sophistication. ... There are plenty of exercises. They tend to follow a pattern where an exercise that is not completely straightforward is broken into multiple parts to guide the student to a solution. -- Bill Satzer, MAA Reviews,June 2010
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
515
Table Of Content
Preface 1 Preliminaries: Numbers, Sets, Proofs, and Bounds Numbers 101: The Very Basics Sets 101: Getting Started Sets 102: The Idea of a Function Proofs 101: Proofs and Proof-Writing Types of Proof Sets 103: Finite and Infinite Sets; Cardinality Numbers 102: Absolute Values Bounds Numbers 103: Completeness 2 Sequences and Series SequencesandConvergence WorkingwithSequences Subsequences CauchySequences Series 101: Basic Ideas Series 102: Testing for Convergence and Estimating Limits Limsupandliminf:AGuidedDiscovery 3 Limits and Continuity LimitsofFunctions Continuous Functions WhyContinuityMatters:ValueTheorems UniformContinuity 4 Derivatives DefiningtheDerivative CalculatingDerivatives TheMeanValueTheorem SequencesofFunctions 5 Integrals The Riemann Integral: Definition and Examples Propertiesof the Integral Integrability Some Fundamental Theorems Solutions
Synopsis
This book is a one-semester text for an introduction to real analysis. The author's primary aims are to develop ideas already familiar from elementary calculus in a rigorous manner and to help students deeply understand some basic but crucial mathematical ideas, and to see how definitions, proofs, examples, and other forms of mathematical "apparatus" work together to create a unified theory. A key feature of the book is that it includes substantial treatment of some foundational material, including general theory of functions, sets, cardinality, and basic proof techniques.
LC Classification Number
QA300.Z675 2010

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