Discrete Mathematical Structures (4th Edition) 4th Edition by Bernard Kolman (PDF)

Description

More than any other book in this field, this book ties together discrete topics with a theme. Written at an appropriate level of understanding for those new to the world of abstract mathematics, it limits depth of coverage and areas covered to topics of genuine use in computer science. Chapter topics include fundamentals, logic, counting, relations and digraphs, trees, topics in graph theory, languages and finite-state machines, and groups and coding. For individuals interested in computer science and other related fields — looking for an introduction to discrete mathematics, or a bridge to more advanced material on the subject.

User’s Reviews

Editorial Reviews: From the Back Cover More than any other book in this field, this book ties together discrete topics with a theme. Written at an appropriate level of understanding for those new to the world of abstract mathematics, it limits depth of coverage and areas covered to topics of genuine use in computer science. Chapter topics include fundamentals, logic, counting, relations and digraphs, trees, topics in graph theory, languages and finite-state machines, and groups and coding. For individuals interested in computer science and other related fields — looking for an introduction to discrete mathematics, or a bridge to more advanced material on the subject.

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

⭐As a comprehensive book on discrete math I really found this text lacking. At times some examples were vaguely illustrated or maybe omitted altogether.If you’re using this for a discrete math class, hopefully your instructor has enough supplemental material to carry the text, but I’m not as lucky. Doing an independent study of the course that used this text meant using Google a lot.I also have the next edition, and I can say that there is hardly a difference as far as the lack of examples and overall clarity.

⭐Met all expectations!

⭐Love this book…

⭐Just to give you an idea, I took “Discrete Math” at CCAC (a very large Community College in Pittsburgh) back in 2006, and this was their book of choice. Yes, we covered every chapter. The prior short reviews about its content being quite difficult to understand means that they either had a terrible professor who couldn’t convey concepts, or they didn’t show up for class and solely relied on the book. I knew nothing beforehand and left with an A.This book is full of examples and concepts, each building off of the last section and last chapter. Every odd answer is in the back, allowing for you to check the homework before stumbling into class. Numerous involved projects are at the end of every chapter. There’s little humor in the book.The one thing that my professor insisted on adding was more information on game theory and its relation to discrete math. This isn’t really present in the book.This book has been used at Community Colleges and Columbia University alike. Its difficulty to learn is evident on the amount of work you put into the course.Again, this isn’t a standard math course book. This is a DISCRETE book. Unless you have a professor you can check concept answers against and ask questions, you’re SOL. This book is the tool by which you will REALLY learn discrete math, but you’ve gotta work for it because it’s not a standard math course…and you’ll need a professor’s help to get an A. And any attempt at transforming a Discrete book into something that you’d be familiar and comfortable with is only going to make grasping the concepts even harder.

⭐I am reviewing the 5th edition. This is an excellent text, easy to learn from, with a crystal clear presentation. I’ve found few errors in this edition and the ones that I have found are non-substantive typos, nothing more. Each chapter is broken out into digestible sections, and each section is followed by a wealth of problems. The problems are progressive, starting out very easy, but none of them are too hard to do: the authors’ intent is clearly to build the reader’s skill with the material. The problems are a mix of routine computations and some proofs. Answers to all odd numbered problems are given in the back of the book, making the text valuable for self-study.I disagree with the reviewer who criticized the book on the basis of the authors’ institutional affiliations. The text should be judged on its merits: If you’re looking for a solid presentation that flows logically and naturally from one topic to the next, then this is the book for you. On the other hand if you’re expecting a terse, densely compacted thicket of mathematical symbolism, then this isn’t your book.

⭐I have never been a math wizard, but I really enjoyed this book, and have kept it around because it is so helpful.I appreciate the organization of the book. If you want to study a chapter out of sequence, the opening page tells you which earlier chapters are necessary to understand the new one. The exercises in each section are progressive – you can understand the topic with the first few problems, and by the time you work through the section you will REALLY understand it.I used the fourth edition, published in 2000, so perhaps there are some inaccuracies in the earlier edition. I found few examples of wrong answers.

⭐It appears the authors created this book for people with prior knowledge of Discrete Structures. Most of the exercises require you to research in other places which defeats the purpose of this textbook! In a class I recently took, most of the students actually complained about the college using this book because it makes the subject look harder than it already is.

⭐THe credentials of the authors speak in bounds… Drexel University and Georgia Perimeter College???!?!?! GPC is a 2-year. Anyways, all that aside, the presentation of the material is horrible. Obviously, the background of these authors is that of 1,2,3 methods, with absolutely no concept of any concepts behind the material. The problems/examples are unrelated to the material in the chapters, and no preparation was given to answer them. Our professor even said that he emailed the writer to change the wording in a few questions, the writer agreed wholeheartedly, and yet the question remained in the next edition….IN the age of Chubb Institute and quickie-degree schools, this book would do fine. Math, in my opinion, while can be learned with these methods, is useless without the knowledge of how it came about, why it is used, and theory or explanation/background. This book provides none of this. I do not recommend it to anyone. ESPECIALLY not one of “beginner” status(…)

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