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Mathematics: A Discrete Introduction, by Edward A. Scheinerman
Ebook Download Mathematics: A Discrete Introduction, by Edward A. Scheinerman
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This book has two primary objectives: It teaches students fundamental concepts in discrete mathematics (from counting to basic cryptography to graph theory), and it teaches students proof-writing skills. With a wealth of learning aids and a clear presentation, the book teaches students not only how to write proofs, but how to think clearly and present cases logically beyond this course. Overall, this book is an introduction to mathematics. In particular, it is an introduction to discrete mathematics. All of the material is directly applicable to computer science and engineering, but it is presented from a mathematician's perspective. While algorithms and analysis appear throughout, the emphasis is on mathematics. Students will learn that discrete mathematics is very useful, especially those whose interests lie in computer science and engineering, as well as those who plan to study probability, statistics, operations research, and other areas of applied mathematics.
- Sales Rank: #165320 in Books
- Brand: Brand: Cengage Learning
- Published on: 2005-06-06
- Original language: English
- Number of items: 1
- Dimensions: 1.08" h x 7.36" w x 9.42" l, 2.29 pounds
- Binding: Hardcover
- 592 pages
- Used Book in Good Condition
Review
"My students love this textbook for its clarity and careful organization. The book, by the way, has the highest approval rating of any textbook in any class I have ever taught. Bravo!!"
About the Author
Edward R. Scheinerman is Professor in the Department of Applied Mathematics and Statistics at The Johns Hopkins University. Dr. Scheinerman's research interests include discrete mathematics; especially graph theory, partially ordered sets, random graphs, and combinatorics, as well as applications to robotics and networks.
Most helpful customer reviews
6 of 6 people found the following review helpful.
Outstanding intro with excellent instruction
By Marc
I can understand some of the bad reviews on this textbook, but in context of being an intro, it is outstanding.
What does intro mean? Well it is for those do not understand the fundamentals of proof or theorems, and most of the material in this book.
Most discrete math books fail at one major topic of instruction, and that is proofs and induction. The authors struggle on instructing the students both the language and how to write proofs. The authors expect a specific level of sophistication in the student. And in most cases this might be true, depending on where this course fits in the cirriculum and who the students are taking the course. Math and engineering majors have a different level of background and confidence.
This textbook is really a great intro because of the method employed by the author to instruct. He introduces each topic from a conversational level and then brings in the more formal proofs and examples. He does this with everything so it builds up the students understanding of both the how and why so that a student not only understands the topic, but understands how the proof is constructed.
His instruction on proofs and induction will teach students the language of math from a very elementary level to the point where they will be able to follow more rigourous texts.
His coverage of graphs is brilliant, his instruction really connects the students with the subtle differences in the various theorems.
Advanced students will find this a boring text, but most students will take away a profound understanding of how to think and speak like a mathematian.
6 of 7 people found the following review helpful.
I hated this book.
By Sammy Moore
The material is actually put forth in a pretty easy to understand way, but the problem is that the material is very difficult - and the back of the book provides absolutely zero answers. This resulted in me, more than once, thinking that I had an idea or concept understood and completing my homework, only to find on quiz or test day that I had the wrong idea.
Teachers, please do not assign this book! Or if you absolutely must assign this book, at least make sure to go over the homework in class.
3 of 3 people found the following review helpful.
Better than the Rosen book
By Daviangel
Yup definitely much more readable and a pleasure to read compared to the Rosen Discrete math book I was forced to use. Has some great examples, like how to use the Inclusion-Exclusion for instance, using Venn-diagrams to boot. Rosen book doesn't even bother and leaves it all in the exercises. Some of the word choice is patronizing or childish at times like "a ghastly formula" for example? The proof templates littered throughout the book would've really helped me with proofs on my tests since they are like cliff notes on solving them. There is nothing like that in the Rosen book and you'd need to actually go to class/lecture and hope the instructor gave you tips like that. I like this book while it might not be as rigorous as others it's honest. The authors even say so on the section on planar graphs."Some proofs in this section are not rigorous. We shall be honest with you concerning where we are not using full rigor." You don't see any of that in the Rosen book either. So if your current Discrete math book is putting you to sleep or headaches give this book a look.
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