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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The first paragraph of the chapter entitled Integers, Divisors, and Primes presents a good example of this philosophy in action:. Integers Divisors and Primes. I quite enjoyed carrying this small volume around, reading a section or two at a time.
A Glimpse of Complexity and Cryptography. The last two chapters delve into coding theory and cryptography by introducing projective planes, Steiner systems, etc, on the way to describing the RSA cryptosystem. In fact, I felt it added to the introductory nature of the text.
This book is aimed at undergraduate mathematics and computer science students interested in developing a This book is aimed at undergraduate mathematics and computer science students interested in developing a 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. Vesztergombi Limited preview – Other editions – View all Discrete Mathematics: Until I started actually reading it.
Coloring Maps and Graphs.
References to this book Codierungstheorie: But a reader interested in discrete mathematics mostly for the sake of computer science will likely be disappointed, frustrated, or both. It is indeed elementary enough to use as a text in class although be warned: Vesztergombi Limited preview – To conclude, in Discrete Mathematics Lovasz, Pelikan and Vesztergombi have succeeded in providing us with a book that is sure to please many readers. Account Options Sign in. The first chapter takes up the topics of sets and counting, but the discussion of unions of sets, intersection of sets, and mthematics such introductory logic is extremely brief.
Laszlo Lovász biography
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 mathemmatics more connection with computer science. In light of this, one must certainly ask whether or not another book on kovasz subject belongs on the bookshelf.
Binomial Coefficients and Pascals Triangle. This is the longest chapter in the text, at about thirty pages. But they do not shy away from first convincing the reader of the likelihood of a result having usually led the reader to that point skillfully and then providing a proof.
Elementary and Beyond Discrete Mathematics: Recurrence relations are briefly introduced via the Fibonacci numbers, but attention quickly turns to combinatorial probability and a new chapter. Binomial Coefficients and Pascals Triangle. I learned of a few results here.
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 binomial coefficients.
The authors discuss a number of selected results and methods of discrete mthematics, mostly from the areas of combinatorics and graph theory, with a little number theory, probability, and combinatorial geometry. The second chapter leads to the pigeonhole principle, but also discusses estimating the size of numbers, a theme that reappears from time to time throughout the book.
Coloring Maps and Graphs. Then there is a foray into planar geometry leading to a discussion of the Four Color Theorem. Her area of specialty is algebraic topology. The book is awesome and I was impressed by the lucid treatment by the authors.