A transition to proof: an introduction to advanced mathematics

By:

Nicholson, Neil R

Material type: Text

TextSeries: Textbooks in MathematicsPublication details: Chapman and Hall/CRC 2019 Boca RatonDescription: xiii, 450 p. Includes appendix, bibliography and indexISBN:

9780367201579

Subject(s):

DDC classification:

511.36 N4T7

Summary: A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof. Features: 1. The text is aimed at transition courses preparing students to take the analysis 2. Promotes creativity, intuition, and accuracy in exposition 3. The language of proof is established in the first two chapters, which cover logic and set theory 4.Includes chapters on cardinality and introductory topology https://www.taylorfrancis.com/books/9780429259838

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Book	Ahmedabad General Stacks	Non-fiction	511.36 N4T7 (Browse shelf(Opens below))	Available		200746

Total holds: 0

Table of Contents

Symbolic Logic
Sets
Introduction to Proofs
Mathematical Induction
Relations
Functions
Cardinality
Introduction to Topology
Properties of the Real Number System
Proof Writing Tips
Selected Solutions and Hints

A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively.

The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof.

Features:

1. The text is aimed at transition courses preparing students to take the analysis
2. Promotes creativity, intuition, and accuracy in exposition
3. The language of proof is established in the first two chapters, which cover logic and set theory
4.Includes chapters on cardinality and introductory topology

https://www.taylorfrancis.com/books/9780429259838

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