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Schaum's Outline of Theory and Problems of Combinatorics including concepts of Graph Theory 1st Edition

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V. K. Balakrishnan (Author)
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4 out of 5 stars 7 customer reviews
ISBN-13: 978-0070035751
ISBN-10: 007003575X
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Product Details

  • Paperback: 200 pages
  • Publisher: McGraw-Hill Education; 1 edition (November 22, 1994)
  • Language: English
  • ISBN-10: 007003575X
  • ISBN-13: 978-0070035751
  • Product Dimensions: 8.2 x 0.4 x 10.8 inches
  • Shipping Weight: 14.1 ounces (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #438,702 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

49 of 50 people found the following review helpful
Nice job
By Dr. Lee D. Carlson HALL OF FAMEVINE VOICE on February 5, 2002
Format: Paperback
Combinatorics is an area of mathematics that is frequently looked on as one that is reserved for a small minority of mathematicians: die-hard individualists who shun the limelight and take on problems that most would find boring. In addition, it has been viewed as a part of mathematics that has not followed the trend toward axiomatization that has dominated mathematics in the last 150 years. It is however also a field that has taken on enormous importance in recent years do its applicability in network engineering, combinatorial optimization, coding theory, cryptography, integer programming, constraint satisfaction, and computational biology. In the study of toric varieties in algebraic geometry, combinatorics has had a tremendous influence. Indeed combinatorial constructions have helped give a wide variety of concrete examples of algebraic varieties in algebraic geometry, giving beginning students in this area much needed intuition and understanding. It is the the advent of the computer though that has had the greatest influence on combinatorics, and vice versa.The consideration of NP complete problems typically involves enumerative problems in graph theory, one example being the existance of a Hamiltonian cycle in a graph. The use of the computer as a tool for proof in combinatorics, such as the 4-color problem, is now legendary. In addition, several good software packages, such as GAP and Combinatorica, have recently appeared that are explicitly designed to do combinatorics. One fact that is most interesting to me about combinatorics is that it gave the first explicit example of a mathematical statement that is unprovable in Peano arithmetic.Read more ›
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7 of 9 people found the following review helpful
Not ideal "self-study" book for undergrads
By L. Stanfield on December 4, 2008
Format: Paperback
The book does a poor job at laying out the basics for the reader. In the first chapter only 2 pages out of 33 are dedicated to describing the theory, the rest of the chapter consists of word problems. Some of those word problems go beyond the scope of the theory outlined for you, to which I thought was not only unfair but a bit intimidating to the curious math student. Sadly, the majority of this book follows the same routine.

From this layout it was clear that this book wasn't written with the complete novice in mind. The Discrete Math [also a Schaum's outline] book I bought alongside this one happens to cover the same topics and does a much better job at explaining the basics with reasonable problems to practice from.

As I said before, I can't recommend this book to anyone who is looking to break way into Combinatorics.
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4 of 5 people found the following review helpful
kind of good
By ? guy on October 18, 2007
Format: Paperback
Not bad for those that have become accustomed to extensive math language within a text. The underlying concepts are explained well, however the density of material does take something away. Graph and group theory explanations should be more comprehensive. Considering the complexity of the various topics being presented this book is kind of good.
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1 of 1 people found the following review helpful
Excellent Text Book
By Steve on October 3, 2010
Format: Paperback Verified Purchase
This is great textbook. Like all the Schaum Outlines, the focus is on problem solving. The author (Prof. V.K. Balakrishnan) does an absolutely marvelous job in leading the reader to an understanding of basic combinatorics via a seemingly endless series of problems. The problems are clearly stated and the solutions are well done. The general quality of the book is very high.
If you need more exposition, I would suggest something like Notes on Introductory Combinatorics by Polya, Tarjan and Woods, but as I say, I think the book by Balakrishnan is just fine as it is.
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