Mathematical Proofs: A Transition to Advanced Mathematics 4th Edition by Gary Chartrand (PDF)

Description

For courses in Transition to Advanced Mathematics or Introduction to Proof. 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. 0134746759 / 9780134746753 Chartrand/Polimeni/Zhang, Mathematical Proofs: A Transition to Advanced Mathematics, 4/e

User’s Reviews

Editorial Reviews: About the Author Gary Chartrand is Professor Emeritus of Mathematics at Western Michigan University. He received his Ph.D. in mathematics from Michigan State University. His research is in the area of graph theory. Professor Chartrand has authored or co-authored more than 275 research papers and a number of textbooks in discrete mathematics and graph theory as well as the textbook on mathematical proofs. He has given over 100 lectures at regional, national and international conferences and has been a co-director of many conferences. He has supervised 22 doctoral students and numerous undergraduate research projects and has taught a wide range of subjects in undergraduate and graduate mathematics. He is the recipient of the University Distinguished Faculty Scholar Award and the Alumni Association Teaching Award from Western Michigan University and the Distinguished Faculty Award from the State of Michigan. He was the first managing editor of the Journal of Graph Theory. He is a member of the Institute of Combinatorics and Its Applications, the American Mathematical Society, the Mathematical Association of America and the editorial boards of the Journal of Graph Theory and Discrete Mathematics. Albert D. Polimeni is an Emeritus Professor of Mathematics at the State University of New York at Fredonia. He received his Ph.D. degree in mathematics from Michigan State University. During his tenure at Fredonia he taught a full range of undergraduate courses in mathematics and graduate mathematics. In addition to the textbook on mathematical proofs, he co-authored a textbook in discrete mathematics. His research interests are in the area of finite group theory and graph theory, having published several papers in both areas. He has given addresses in mathematics to regional, national and international conferences. He served as chairperson of the Department of Mathematics for nine years. Ping Zhang is Professor of Mathematics at Western Michigan University. She received her Ph.D. in mathematics from Michigan State University. Her research is in the area of graph theory and algebraic combinatorics. Professor Zhang has authored or co-authored more than 200 research papers and four textbooks in discrete mathematics and graph theory as well as the textbook on mathematical proofs. She serves as an editor for a series of books on special topics in mathematics. She has supervised 7 doctoral students and has taught a wide variety of undergraduate and graduate mathematics courses including courses on introduction to research. She has given over 60 lectures at regional, national and international conferences. She is a council member of the Institute of Combinatorics and Its Applications and a member of the American Mathematical Society and the Association of Women in Mathematics.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Have good info for those who are going into Linear Algebra and upper division classes. Some might not like it as a textbook, but some might use it as a reference book and grab it in a pinch when they are stuck on a problem. Either way, I would argue that it’s a nice addition to your bookshelf.

⭐Awful class, terrible subject, but good book.

⭐This text is exceptionally well-written. I have read but 3 chapters, so far, along with doing many of the exercises at chapter’s end. A very enjoyable read for those interested in some of the basics for higher maths.

⭐There are examples for each chapter which correspondent student level. Odd examples have answers, even come without answers. Good book for student’s studing

⭐I ordered the book primarily because there is a review from this year (2022) stating that the paper quality had improved with their order – well mine got in a few days ago and the paper quality is the same as shown in the review from March 2021. Disappointed

⭐The product was in a great condition. You can tell it’s been used but nothing drastic. Same as description.

⭐Very good book, a new edition… the only probles is that it is very expensive!

⭐Good

⭐I somewhat agree with one reviewer regarding the paper quality. The paper in this textbook is not premium considering the price that I paid, but the bleed through of ink is not as bad as the previous reviewer stated. Maybe the publisher corrected this issue between our reviews. While there is some bleed through of ink, the textbook is readable. I photographed the same pages as the previous reviewer for comparison.

⭐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 paper quality was not very good at all, as mentioned by previous comments. If you can read backwards, you can read the text on the other side of the page loool.I didn’t mind this, so I bought it anyway. If this bothers you, it might be best to try to find a digital copy online.For $200, it s a real shame, but I like physical books too much…

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