Chapter Zero, 2e

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NPR 540.00


Chapter Zero, 2e

Chapter Zero: Fundamental Notions of Abstract Mathematics is designed for the sophomore/junior level Introduction to Advanced Mathematics course.

NPR 540.00 540.0 NPR NPR 600.00

NPR 600.00


  • Author
  • Pages
  • Pages 256
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  • ISBN
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Chapter Zero, 2e

Chapter Zero: Fundamental Notions of Abstract Mathematics is designed for the sophomore/junior level Introduction to Advanced Mathematics course. Written in a modified R.L. Moore fashion, it offers a unique approach in which students construct their own understandings. However, while students are called upon to write their own proofs, they are also encouraged to work in groups. There are few finished proofs contained in the text, but the author offers &ldquoproof sketches" and helpful technique tips to help students as they develop their proof writing skills. This book is most successful in a small, seminar style class. 

Table of Content

Chapter 1. Logic 

Chapter 2. Sets.

Chapter 3. Induction 

Chapter 4. Relations 

Chapter 5. Functions 

Chapter 6. Elementary Number Theory 

Chapter 7. Cardinality 

Chapter 8. The Real Numbers Appendix A. Axiomatic Set Theory Appendix B. Constructing R"

Salient Features :
  • NEW! Coverage of Isomorphisms and Graph Theory. 
  • Exercise sections have been improved by smoothing out the grade of difficulty. 
  • Proof Sketches. Woven throughout the early chapters of the text, these sketches assist students with proof techniques. 
  • Logic is used as a tool for analyzing the content of mathematical assertions and for constructing valid mathematical proofs. 
  • Rigorous axiomatic treatment of set theory is introduced in Appendices A and B (which are written in the same style as the text's chapters.)"
Book
Author Schumacher
Pages 256
Year 2019
ISBN 9789353432744
Publisher Pearson
Language English
Uncategorized
Edition 2/e
Weight 310 g
Dimensions 20.3 x 25.4 x 4.7 cm
Binding Paperback