A Transition to Abstract Mathematics - 2nd Edition - ISBN: 9780123744807, 9780080922713

A Transition to Abstract Mathematics

2nd Edition

Learning Mathematical Thinking and Writing

Authors: Randall Maddox
Hardcover ISBN: 9780123744807
eBook ISBN: 9780080922713
Imprint: Academic Press
Published Date: 4th September 2008
Page Count: 384
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Description

Notation and Assumptions

Section I: Foundations of Logic and Proof Writing Ch 1. Logic Ch 1. Language and Mathematics Ch 2. Properties of Real Numbers Ch 3. Sets and Their Properties Ch 4. Functions

Section II: Basic Principles of Analysis Ch 5. The Real Numbers Ch 6. Sequences of Real Numbers Ch 7. Functions of a Real Variable

Section III: Basic Principles of Algebra Ch 6. Groups Ch 7. Rings

Index

Index

Key Features

  • Covers the full range of techniques used in proofs, including contrapositive, induction, and proof by contradiction
  • Explains identification of techniques and how they are applied in the specific problem
  • Illustrates how to read written proofs with many step by step examples
  • Includes 20% more exercises than the first edition that are integrated into the material instead of end of chapter


Readership

upper level undergraduate mathematics students Mathematicians and computer science professionals.

Table of Contents

Notation and Assumptions

Section I: Foundations of Logic and Proof Writing Ch 1. Logic Ch 1. Language and Mathematics Ch 2. Properties of Real Numbers Ch 3. Sets and Their Properties Ch 4. Functions

Section II: Basic Principles of Analysis Ch 5. The Real Numbers Ch 6. Sequences of Real Numbers Ch 7. Functions of a Real Variable

Section III: Basic Principles of Algebra Ch 6. Groups Ch 7. Rings

Index

Index

Details

No. of pages:
384
Language:
English
Copyright:
© Academic Press 2009
Published:
Imprint:
Academic Press
eBook ISBN:
9780080922713
Hardcover ISBN:
9780123744807

About the Author

Randall Maddox

Affiliations and Expertise

Pepperdine University, Malibu, CA, USA