MTU Library Catalogue

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Mathematical reasoning : writing and proof / Ted Sundstrom.

By: Sundstrom, Theodore A.
Material type: materialTypeLabelBookPublisher: Upper Saddle River, N.J. : Prentice Hall, 2003Description: xiv, 435 p. ; ill. ; 24 cm. + hbk.ISBN: 0130618152.Subject(s): Proof theoryDDC classification: 511.3
Contents:
Introduction to writing in mathematics -- Logical reasoning -- Constructing and writing proofs in mathematics -- Set theory -- Mathematical induction -- Functions -- Equivalence relations -- Topics in number theory -- Topics in set theory.
Holdings
Item type Current library Call number Copy number Status Barcode
General lending MTU Bishopstown Library Lending 511.3 (Browse shelf(Opens below)) 1 Available 00099004
General lending MTU Bishopstown Library Lending 511.3 (Browse shelf(Opens below)) 1 Available 00099005
Total holds: 0

Enhanced descriptions from Syndetics:

Focusing on the formal development of mathematics, this book demonstrates how to read and understand, write and construct mathematical proofs. It emphasizes active learning, and uses elementary number theory and congruence arithmetic throughout. Chapter content covers an introduction to writing in mathematics, logical reasoning, constructing proofs, set theory, mathematical induction, functions, equivalence relations, topics in number theory, and topics in set theory. For learners making the transition form calculus to more advanced mathematics.

Includes index.

Introduction to writing in mathematics -- Logical reasoning -- Constructing and writing proofs in mathematics -- Set theory -- Mathematical induction -- Functions -- Equivalence relations -- Topics in number theory -- Topics in set theory.

Table of contents provided by Syndetics

  • 1 Introduction to Writing in Mathematics
  • 2 Logical Reasoning
  • 3 Constructing and Writing Proofs in Mathematics
  • 4 Set Theory
  • 5 Mathematical Induction
  • 6 Functions
  • 7 Equivalence Relations
  • 8 Topics in Number Theory
  • 9 Topics in Set Theory
  • A Guidelines for Writing Mathematical Proofs
  • B Answers and Hints for Selected Exercises
  • C List of Symbols

Reviews provided by Syndetics

CHOICE Review

Sundstrom's purpose is to help provide a transition from lower-division mathematics courses oriented toward problem solving and finding solutions to the more abstract and often proof-oriented mathematics more common to upper-division courses. Throughout the book, the author emphasizes writing in mathematics. Guidelines for writing proofs are provided and followed in the examples. Proof techniques are developed primarily through examination of elementary number theory and the basics of set theory. These topics, along with an introduction to logic, make up the first four chapters, with chapter five devoted to mathematical induction. The remaining four chapters provide a more in-depth examination of functions, equivalence relations, number theory, and set theory. A typical one-semester course is designed to cover the first six chapters along with more in-depth coverage of equivalence relations, number theory, or set theory. The book is easy to read and provides "preview activities" that may be thought of as discussion topics intended to focus student attention on the ideas needed in the material that follows. It is certainly worthy of consideration for introducing students to writing proofs. ^BSumming Up: Recommended. General readers; lower-division undergraduates. J. R. Burke Gonzaga University