Mathematical Proofs: A Transition to Advanced Mathematics 4th Edition

Mathematical Proofs: A Transition to Advanced Mathematics (4th Edition)
by: Gary Chartrand - Albert D. Polimeni - Ping Zhang
ISBN-10: 0134746759
ISBN-13: 9780134746753
Edition: 4
Released: 2017-11-06
Pages: 512
Book Description
Contents
Communicating Mathematics
Chapter 1: Sets
Chapter 2: Logic
Chapter 3: Direct Proof & Proof by Contrapositive
Chapter 4: More on Direct Proof & Proof by
Contrapositive
Chapter 5: Existence & Proof by Contradiction
Chapter 6: Mathematical Induction
Chapter 7: Reviewing Proof Techniques
Chapter 8: Prove or Disprove
Chapter 9: Equivalence Relations
Chapter 10: Functions
Chapter 11: Cardinalities of Sets
Chapter 12: Proofs in Number Theory
Chapter 13: Proofs in Combinatorics
Chapter 14: Proofs in Calculus
Chapter 15: Proofs in Group Theory
Chapter 16: Proofs in Ring Theory
Chapter 17: Proofs in Linear Algebra
Chapter 18: Proofs with Real & Complex Numbers
Chapter 19: Proofs in Topology
Answers to Exercises in Chapters 16-19
Answers to Section Exercises
Refs
Symbols
Index