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 authors carefully remind us throughout the text that what is convincing does not necessarily constitute a proof. The authors discuss a number matehmatics 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.
I quite enjoyed carrying this small volume around, reading a section or two at a time. 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 is extremely brief. For many, the answer with respect to this book should be yes. Discrete mathematics is quickly discrwte one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing.
The prerequisite to read 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. Elementary and Beyond L. Its roots go back about years, to the very beginning of Greek mathematics.
This book is aimed at undergraduate mathematics and computer science students interested in developing a Binomial Coefficients and Pascals Triangle. The book is awesome and I was impressed by the lucid disvrete by the authors.
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 mathematicw kinds of questions mathematicians work on.
Lovasz, Pelikan and Vesztergombi’s choice of topics does have a more mathematical bent in comparison to some other undergraduate texts at which I looked. 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. This area of mathematics is called number theory, and it is a truly venerable field: Account Options Sign in. Then there is a foray into planar geometry leading to a discussion of the Four Color Theorem. The first paragraph of the chapter entitled Integers, Divisors, and Primes presents a good example of this philosophy in action:.
Primality testing is not new either, but it is not standard fare, and lends a nice flavor here. The material is basic, as one expects from a book in the Undergraduate Texts in Mathematics series, but there is some material “beyond” the elementary.
Wherever possible, the authors use proofs and problem solving to help students understand the solutions to problems. 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. Llovasz Chapter Six, the theme is prime numbers.
Discrete Mathematics – László Lovász, Katalin L. Vesztergombi – Google Books
The first paragraph of the chapter entitled Integers, Divisors, and Primes presents a good example of this philosophy in action: But a reader interested in discrete mathematics mostly for the sake of computer science will likely be disappointed, frustrated, or both. A Glimpse of Complexity and Cryptography. 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”. Until I started actually reading it.
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. Integers Divisors and Primes.
In addition, there are numerous examples, figures and exercises spread throughout the book. To conclude, in Discrete Mathematics Lovasz, Pelikan and Vesztergombi have succeeded in providing us with a book that is sure to please many readers.
Coloring Maps and Graphs. Elementary and Beyond Undergraduate Texts in Mathematics.
In fact, I felt it added to the introductory nature of the laszll. One might think that after years of research, one would know essentially everything about the matheamtics.
It has long been a staple in the mathematics studied and used by computer scientists as well as mathematicians. The binomial theorem is the main tool of the next chapter, leading quite nicely to identities arising mathemahics Pascal’s triangle and estimates for sums and quotients of binomial coefficients.
It is indeed elementary enough to use as a text in class although be warned: I’m a sucker for projective planes, as well as cryptography, and was delighted with this selection as a fitting conclusion to the book. This is the longest chapter in the text, at about thirty pages.
References to this book Codierungstheorie: