(BQ) Ebook "Transition to higher mathematics: Structure and proof" has contents: Introduction, preliminaries, relations, proofs, principle of induction, cardinality, cardinality, the real numbers, complex numbers. | Transition to Higher Mathematics: Structure and Proof Second Edition Bob A. Dumas John E. McCarthy Copyright c 2014 Bob Dumas and John E. McCarthy. All rights reserved. To Gloria, Siena and William . To Suzanne, Fiona and Myles . ix Contents ix Chapter 0. Introduction 1 . Why this book is 1 . What this book is 1 . What this book is not . Advice to the Student 3 3 . Advice to the Instructor 6 . Acknowledgements 9 Chapter 1. Preliminaries 11 . “And” “Or” . Sets 11 12 . Functions 23 . Injections, Surjections, Bijections 29 . Images and Inverses . Sequences 31 37 . Russell’s Paradox 40 . Exercises 41 . Hints to get started on some exercises 46 Chapter 2. Relations 49 . Definitions 49 . Orderings 51 . Equivalence Relations . Constructing Bijections 53 57 . Modular Arithmetic 60 . .
