This book is designed for the transition course between calculus and differential …
This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.
It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems.
This book is designed for the transition course between calculus and differential …
This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.
It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems.
Access also available here: http://giam.southernct.edu/GIAM/
Table of Contents Chapter 1: Introduction and notation Chapter 2: Logic and quantifiers Chapter 3: Proof techniques I Chapter 4: Sets Chapter 5: Proof techniques II -Induction Chapter 6: Relations and functions Chapter 7: Proof techniques III -Combinatorics Chapter 8: Cardinality Chapter 9: Proof techniques IV - Magic
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