Transition to Higher Mathematics: Structure and Proof - Second Edition

Format:

Book

Author/Creator:

Dumas, Bob A, author.

McCarthy, John E, author.

Language:

English

Subjects (All):

Mathematics--Textbooks.

Mathematics.

Physical Description:

1 online resource

Edition:

Second Edition

Place of Publication:

St. Louis, Missouri Open Scholarship 2015.

Language Note:

In English.

Summary:

This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality, Chapter 7: Divisibility, Chapter 8: The Real Numbers, Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers.

Contents:

Chapter 0. Introduction

Chapter 1. Preliminaries

Chapter 2. Relations

Chapter 3. Proofs

Chapter 4. Principle of Induction

Chapter 5. Limits

Chapter 6. Cardinality

Chapter 7. Divisibility

Chapter 8. The Real Numbers

Chapter 9. Complex Numbers

Notes:

Description based on online resource