Mathematical Proofs: A Transition to Advanced Mathematics (4th Edition)
Mathematical Proofs: A Transition to Advanced Mathematics is a meticulously crafted, student-friendly text designed to help students build the mathematical maturity necessary for higher-level study. This comprehensive guide introduces readers to various proof techniques, teaching them how to analyze existing proofs and construct their own. The text emphasizes not only mathematical correctness but also the importance of clear, well-structured writing in the mathematical sciences.
The content provides a solid foundation in fundamental topics such as relations, functions, and the cardinalities of sets. Beyond these core areas, the book offers optional excursions into diverse mathematical fields, including number theory, combinatorics, and calculus. A standout feature of this edition is its collection of exercises, which are widely praised for their creativity and thoughtfulness. These exercises are designed to transition students from basic understanding to the independent production of sophisticated proofs, making the book an invaluable reference for future coursework.
Book Details
- Title: Mathematical Proofs: A Transition to Advanced Mathematics
- Author: Gary Chartrand
- Edition: 4th Edition
- Publisher: Pearson
- Publication Date: April 19, 2018
- ISBN-13: 978-0134765891
- Language: English
Key Features
- Focuses on developing mathematical maturity and proof-writing skills.
- Covers essential topics: set theory, logic, relations, functions, and cardinality.
- Includes “Excursion” chapters that apply proof techniques to specific areas of mathematics.
- Contains a diverse array of exercises ranging from introductory to advanced levels.
- Serves as both a primary textbook for transition courses and a long-term reference for advanced mathematics.