Book Description:
ISBN-13: 9780134746753
Mathematical Proofs: A Transition to Advanced Mathematics (4th Edition) is a comprehensive guide that helps students develop the necessary skills to write and understand mathematical proofs. The book covers a wide range of topics including logic, set theory, functions, relations, and cardinality. It also introduces students to the fundamental concepts of mathematical reasoning and proof techniques.
The book is designed to bridge the gap between lower-level mathematics courses and more advanced topics in mathematics. It provides clear explanations and examples to help students grasp the concepts and techniques needed to construct rigorous mathematical arguments. The fourth edition includes new exercises and examples to further enhance the learning experience.
Throughout the book, the authors emphasize the importance of precision and clarity in mathematical writing. They provide tips and strategies for constructing well-organized and coherent proofs. Additionally, the book includes discussions on the historical development of mathematical proofs and the role of proofs in mathematics.
Mathematical Proofs: A Transition to Advanced Mathematics (4th Edition) is a valuable resource for students looking to improve their proof-writing skills and prepare for more advanced mathematics courses.
This edition retains the full content with the added advantage of portability, allowing readers to easily access and engage with the material from any device, whether in a classroom or during fieldwork.