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Discrete Structures with Contemporary Applications, by Alexander Stanoyevitch
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Reflecting many of the recent advances and trends in this area, Discrete Structures with Contemporary Applications covers the core topics in discrete structures as well as an assortment of novel applications-oriented topics. The applications described include simulations, genetic algorithms, network flows, probabilistic primality tests, public key cryptography, and coding theory.
A modern and comprehensive introduction to discrete structures
With clear definitions and theorems and carefully explained proofs, this classroom-tested text presents an accessible yet rigorous treatment of the material. Numerous worked-out examples illustrate key points while figures and tables help students grasp the more subtle and difficult concepts. "Exercises for the Reader" are interspersed throughout the text, with complete solutions included in an appendix. In addition to these, each section ends with extensive, carefully crafted exercise sets ranging from routine to nontrivial; answers can be found in another appendix. Most sections also contain computer exercises that guide students through the process of writing their own programs on any computing platform.
Accommodates various levels of computer implementation
Although the book highly encourages the use of computing platforms, it can be used without computers. The author explains algorithms in ordinary English and, when appropriate, in a natural and easy-to-understand pseudo code that can be readily translated into any computer language. A supporting website provides an extensive set of sample programs.
- Sales Rank: #973482 in Books
- Brand: Brand: Chapman and Hall/CRC
- Published on: 2011-01-19
- Original language: English
- Number of items: 1
- Dimensions: 10.10" h x 2.00" w x 7.00" l, 4.05 pounds
- Binding: Hardcover
- 1002 pages
- Used Book in Good Condition
Review
The author clearly had put a lot of effort in presenting the topics clearly and as engaging as possible.�� His many years of teaching and mentoring clearly show...
Instructors who teach courses in discrete structures can find plenty of quality exercises readily usable for homeworks, tutorial discussions and exam material. �Quite a number of them can be used as projects for further exploration by the students, either in groups or individually.
I heartily recommend this textbook and have been using it both in preparing teaching materials and in educating myself.
--IACR Book Reviews, Sept. 2014
"… this textbook is excellent. The author clearly had put a lot of effort in presenting the topics clearly and as engaging as possible. His many years of teaching and mentoring clearly show. The more I read it through the more I like the book, especially how the exercises are so carefully selected and presented. For this reason alone, this book is worth keeping and using. …
The topics covered should provide enough materials for two or even three semester courses.
I heartily recommend this textbook and have been using it both in preparing teaching materials and in educating myself. …
The level of difficulty makes this book suitable for undergraduate and beginning graduate students of mathematics and computer science."
―IACR Book Reviews, September 2014
"…this is the most physically readable textbook that I have seen in a long time. The print is clear and large … The text is readable, there are many examples and in many cases proofs of the theorems are included. A large number of exercises are provided and split into two categories, the traditional math problem and exercises to be performed on a computer. … The two most important courses in the computer science major are the first programming and discrete math classes. Each establishes a foundation of skills that will be repeatedly used throughout the major field of study and this book is an excellent text for the development of the needed skills in math."
―Charles Ashbacher, MAA Reviews, March 2011
About the Author
Alexander Stanoyevitch is a professor at California State University–Dominguez Hills. He completed his doctorate in mathematical analysis at the University of Michigan, Ann Arbor, and has held academic positions at the University of Hawaii and the University of Guam. Dr. Stanoyevitch has taught many upper-level classes to mathematics and computer science students, has published several articles in leading mathematical journals, and has been an invited speaker at numerous lectures and conferences in the United States, Europe, and Asia. His research interests include areas of both pure and applied mathematics.
Most helpful customer reviews
5 of 5 people found the following review helpful.
NOT easy reading - SOLID overview
By Michael Reeves
I am over one third through a first reading of this text. I have a general methodology for reading texts or reference texts. First, a quick read through. Next a read through with note taking. Lastly, a final read through with additional note taking and working of exercises.
I bought this text because I am taking a college course in Discrete Structures this Fall, 2011, for my major in Computer Science. The course has no assigned text per se. Hence, the need for a comprehensive text to scare the bejeebers out of me, and get a good, solid grasp of what the topic encompasses. This text definitely does both.
This text is considered a one-semester course. It covers basic Number Theory, Probability and Statistics, Cryptography and Cryptanalysis, and much more.
Since it includes theory as well as practical exercises for the student, and requires the student to prove some of the theorems, it might be classified as an upper division text for the undergraduate student after completion of a course in mathematical proofs or similar.
Regardless, this text challenges me to learn beyond my comfort zone. Yes, it is intimidating. Yes, some of the material is beyond my current training and exposure. And, definitely, YES, I will learn more each time I read and study through it.
As I am always looking for texts to become a permanent addition to my library, this text definitely qualifies for permanent status. It will sit very nicely next to my:"The Art of Computer Programming, Volumes 1-4A Boxed Set, Donald Knuth".
I believe this text deserves closer examination as a course text or reference text for your library.
Respectfully,
Michael J. Reeves, AA, ASc
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