A Transition to Advanced Mathematics / Edition 8

by Douglas Smith, Maurice Eggen, Richard St. Andre

Overview

A TRANSITION TO ADVANCED MATHEMATICS helps you bridge the gap between calculus and advanced math courses. The most successful text of its kind, the 8th edition continues to provide a firm foundation in major concepts needed for continued study and guides you to think and express yourself mathematically to analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors present introductions to modern algebra and analysis and place continuous emphasis throughout on improving your ability to read and write proofs, and on developing their critical awareness for spotting common errors in proofs. Concepts are clearly explained and supported with detailed examples, while abundant and diverse exercises provide thorough practice on both routine and more challenging problems. You will come away with a solid intuition for the types of mathematical reasoning you ll need to apply in later courses and a better understanding of how mathematicians of all kinds approach and solve problems. You will be exposed to a large number of examples and exercises that allow you to practice developing the skills needed to help them write and think like a mathematician.

Product Details

ISBN-13:	9781285463261
Publisher:	Cengage Learning
Publication date:	08/06/2014
Edition description:	New Edition
Pages:	448
Product dimensions:	7.60(w) x 9.20(h) x 0.90(d)

About the Author

The authors are the leaders in this course area. They decided to write this text based upon a successful transition course that Richard St. Andre developed at Central Michigan University in the early 1980s. This was the first text on the market for a transition to advanced mathematics course and it has remained at the top as the leading text in the market. Douglas Smith is Professor of Mathematics at the University of North Carolina at Wilmington. Dr. Smith s fields of interest include Combinatorics / Design Theory (Team Tournaments, Latin Squares, and applications), Mathematical Logic, Set Theory, and Collegiate Mathematics Education.


Maurice Eggen is Professor of Computer Science at Trinity University. Dr. Eggen's research areas include Parallel and Distributed Processing, Numerical Methods, Algorithm Design, and Functional Programming.


Richard St. Andre is Associate Dean of the College of Science and Technology at Central Michigan University. Dr. St. Andre s teaching interests are quite diverse with a particular interest in lower division service courses in both mathematics and computer science.

Table of Contents

1. Logic and Proofs. 2. Sets and Induction. 3. Relations and Partitions. 4. Functions. 5. Cardinality. 6. Concepts of Algebra. 7. Concepts of Analysis Appendix. Answers to selected exercises. Index.