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. 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. The binomial theorem is the main tool of the next chapter, leading quite nicely to identities arising from Pascal’s triangle and estimates for sums and quotients of discrrte coefficients.
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. While the choice of topics was to my taste disscrete what made reading this book fun, it will be seen as a drawback by ,ovasz readers who desire more connection with computer science. Integers Divisors and Primes.
Wherever possible, the authors use proofs and problem solving to help students understand the solutions to problems. The prerequisite to lasslo and understand this book is the knowledge of high school mathematics, but the reader must also 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 mahtematics succeeded in providing us with a book that is sure to please many readers. Integers Divisors and Primes.
This is the longest chapter in the text, at about thirty pages. Her area of specialty is algebraic topology.
But a reader interested in discrete mathematics mostly for the sake of computer science will likely be disappointed, frustrated, or both. Vesztergombi Limited preview – This area of mathematics is called number theory, and it is a truly venerable field: One might think that after years of research, one would know essentially everything about the subject.
Binomial Coefficients and Pascals Triangle. In many places the authors are willing to remark on the process of doing mathematics, on questions that appear “natural” or “surprising” and of course “elegant”.
In addition, there are numerous examples, figures and exercises spread throughout the book. Lovasx, Pelikan and Vesztergombi’s choice of topics does have a more mathematical bent in comparison to some other undergraduate texts at which I looked.
It is indeed elementary enough to use as a text in class although be warned: The book is awesome and I was impressed by the lucid treatment by the authors. Elementary and Beyond L. This result is not new the authors date it to the late s but it was new to me.
Elementary and Beyond Discrete Mathematics: This book is aimed at undergraduate mathematics and computer science students interested in developing a Recurrence relations are briefly introduced via the Fibonacci numbers, but attention quickly turns to combinatorial probability and a new chapter.
References to this book Codierungstheorie: The writing is generally clear and engaging. Selected pages Title Page. I’m a sucker for projective planes, as well as cryptography, and was delighted with this selection as a fitting conclusion to the book.
Its roots go back about years, to the very beginning of Greek mathematics.
Discrete mathematics (Lovász László; Pelikán József; Vesztergombi Katalin)
For example, there is no mention of boolean logic or automata. For example, there is a discussion of pseudoprimes and of the Miller-Rabin, algorithm which, upon iteration, has an excellent probability of correctly identifying a prime.
Other editions – View all Discrete Mathematics: This book does a wonderful mathemwtics of communicating mathematics as a vibrant field. The authors carefully remind us throughout the text that what is convincing does not necessarily constitute a proof. Binomial Coefficients and Pascals Triangle.