A Transition to Advanced Mathematics 8th Edition

Doug Smith | Maurice Eggen | Richard St. Andre

  • Copyright 2015
  • Published


The best-selling A TRANSITION TO ADVANCED MATHEMATICS, 8TH EDITION helps students bridge the gap between calculus and advanced math courses. Students gain a foundation in the major concepts needed for continued study as they learn to express themselves mathematically, analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors introduce modern algebra and analysis with an emphasis on reading and writing proofs and spotting common errors in proofs. Clear explanations and detailed examples support concepts, while exercises provide practice in routine and more challenging problems. Students master the mathematical reasoning for later courses while learning how mathematicians approach and solve problems.

Meet the Author

Doug Smith, University of North Carolina at Wilmington

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, Trinity University

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, Central Michigan University

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.

Features & Benefits

  • The authors follow a logical development of topics, and write in a readable style that is consistent and concise. As each new mathematical concept is introduced the emphasis remains on improving students' ability to write proofs.
  • Worked examples and exercises throughout the text, ranging from the routine to the challenging, reinforce the concepts.
  • Proofs to Grade exercises test students' ability to distinguish correct reasoning from logical or conceptual errors.
  • A flexible organization allows instructors to expand coverage or emphasis on certain topics and include a number of optional topics without any disruption to the flow or completeness of the core material.-

Table of Contents

A Transition to Advanced Mathematics


1. Logic and Proofs.
2. Sets and Induction.
3. Relations and Partitions.
4. Functions.
5. Cardinality.
6. Concepts of Algebra.
7. Concepts of Analysis
Answers to selected exercises.
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Complete Solutions Manual on Instructor Companion Website for A Transition to Advanced Mathematics, 8th

ISBN: 9781305107021