Description
Meticulously crafted, student-friendly text that helps build mathematical maturity
Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition introduces students to proof techniques, analyzing proofs, and writing proofs of their own that are not only mathematically correct but clearly written. Written in a student-friendly manner, it provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as optional excursions into fields such as number theory, combinatorics, and calculus. The exercises receive consistent praise from users for their thoughtfulness and creativity. They help students progress from understanding and analyzing proofs and techniques to producing well-constructed proofs independently. This book is also an excellent reference for students to use in future courses when writing or reading proofs.
Very precise and clear style, well explained, does not skip any step of the worked solutions, rich in examples. The solutions manual is a must. Best intro to proof writing, useful for many real analysis and linear algebra modules beyond the first abstract maths course. Buy it and understand writing proofs in maths comprehensively.
Really good book for first and second year of university, at least for Ontario universities. If it’s anything like my experience with university, this book will help you understand the matter at hand much more then the teacher will as the book explains the concepts of the theorems instead of just throwing the theorems at you and letting you figure them out. It explains the logic and reasoning behind the proofs and for some, not all proofs, the author will explain the reasoning before, during and after the proof. I recommend having some basic understanding of mathematics and algebra before reading, mostly if you haven’t done or read mathematics in a while. I also recommend doing all of the exercises given as they help you think and reason as a mathematician would.
The product was in a great condition. You can tell it’s been used but nothing drastic. Same as description.
Good
There are examples for each chapter which correspondent student level. Odd examples have answers, even come without answers. Good book for student’s studing