Discrete mathematics is quickly becoming one of the most important areas of László Lovász is a Senior Researcher in the Theory Group at. Discrete mathematics is quickly becoming one of the most important areas of László Lovász is a Senior Researcher in the Theory Group at Microsoft. Discrete Mathematics. Front Cover. László Lovász, Katalin L. Vesztergombi. Yale Univ., Discrete Mathematics: Elementary and Beyond · Laszlo Lovasz.

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Elementary and Beyond L. Primality testing is not new either, but it is not standard fare, dkscrete lends a nice flavor here. For example, there is no mention of boolean logic or automata. Its roots go back about years, to the very beginning of Greek mathematics. Selected pages Title Page.

User Review – Flag as inappropriate The book is awesome and I was impressed by the lucid treatment by the authors. Vesztergombi Limited preview – There are very simple, natural questions that we cannot answer; and there are other simple, natural questions to which an answer has been found only in the last few years! Her area of specialty is algebraic topology.

This area of mathematics is called number theory, and it is a truly venerable field: For many, the answer with respect to this book mathematiics be yes. Recurrence relations are briefly introduced via the Fibonacci numbers, but attention quickly turns to combinatorial probability and a new chapter.

I quite enjoyed carrying this small volume around, reading a section or two at a time.

Vesztergombi Limited preview – In addition, there are numerous examples, figures and exercises spread throughout the book. I was also pleased that in several places the authors would state a best known result, and then proceed to state and prove an easier result — one that was within the scope of the book.

This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about, where mathematics can be helpful, and what kinds of questions mathematicians work on. My library Help Advanced Book Search. But we shall see that this is not the case: In addition, there are numerous examples, figures and exercises spread throughout the book.

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Integers Divisors and Primes. While the choice of topics was to my taste and what made reading this book fun, it will be seen as a drawback by some readers who desire more connection with computer science. The authors discuss a number of selected results and methods of discrete mathematics, mostly from the areas of combinatorics and graph theory, with a little number theory, probability, and combinatorial geometry.

László Lovász

Other editions – View all Discrete Mathematics: It is indeed elementary enough to use as a text in class although be warned: The prerequisite to read and understand this book is the knowledge of high loasz mathematics, but the reader must olvasz refer other papers and books to get the in depth knowledge for some of the proofs and concept. To conclude, in Discrete Mathematics Lovasz, Pelikan and Vesztergombi have succeeded in providing us with a book that is sure to please many readers.

This book does a wonderful job of communicating mathematics as a vibrant field. Elementary and Beyond Undergraduate Texts in Mathematics. When this book arrived on my desk, it got buried rather quickly, and after falling onto the back burner, it stayed there for quite some time.

Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing.

I learned of a few results here. This is the longest chapter in the text, at about thirty pages. Binomial Coefficients and Pascals Triangle. One might think that after years of research, one would know essentially everything about the subject. The first paragraph of mahematics chapter entitled Integers, Divisors, and Primes presents a good example of this philosophy in action:.

Discrete mathematics (Lovász László; Pelikán József; Vesztergombi Katalin)

Graphs and trees, and matching and optimization problems are the themes of the next few chapters. Account Options Sign in. Elementary and Beyond Discrete Mathematics: But a reader interested in discrete mathematics mostly for the sake of computer science will likely be disappointed, frustrated, or both.

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Wherever possible, the authors use proofs and problem solving to help students understand the solutions to problems. The first chapter takes up the topics of sets and counting, but the discussion of unions of sets, intersection of sets, and other such introductory logic discretw extremely brief. My library Help Advanced Book Search.

Discrete Mathematics: Elementary and Beyond – L. Lovász, J. Pelikán, K. Vesztergombi – Google Books

I’m a sucker for projective planes, as well as cryptography, and was delighted with this selection as a fitting conclusion to the book. Coloring Maps and Graphs.

Until I started actually reading it. The authors discuss a discretf of selected results and methods of discrete mathematics, mostly from the areas of combinatorics and graph theory, with a little number theory, probability, and combinatorial geometry.

Surely there are some readers who will find this sort of bait and switch annoying, discdete I am not one of them. Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing.

This result is not new the authors date it to the late s but it was new to me. Account Options Sign in. The last two chapters delve into coding theory discretf cryptography by introducing projective planes, Steiner systems, etc, on the way to describing the RSA cryptosystem.

Binomial Coefficients and Pascals Triangle. Wherever possible, the authors use proofs and problem solving to help students understand the solutions to problems. The first paragraph of the chapter entitled Integers, Divisors, and Primes presents a good example of this philosophy in action: I found myself pleased with how the authors make a point of including developments and applications in their text, in coding theory in particular.