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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In addition, there are numerous examples, figures and exercises spread throughout the book. Vesztergombi Limited preview – Until I started actually reading mathematkcs. To conclude, in Discrete Mathematics Lovasz, Pelikan and Vesztergombi have succeeded in providing us with a book that is sure to please many readers.
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 mathemxtics developing a Surely there are some readers who will find this sort of bait and switch annoying, but I am not one of them.
The binomial mathematicd 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.
This is the longest chapter in the text, at about thirty pages.
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. In Chapter Six, the theme is prime numbers. In addition, there are numerous examples, figures and exercises spread throughout the book.
Elementary and Beyond Undergraduate Texts in Mathematics. My library Help Advanced Book Search. 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.
I learned of a few results here. 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. Binomial Coefficients and Pascals Triangle. Account Options Sign in. But a reader interested in discrete mathematics mostly for the sake of computer science will likely be disappointed, frustrated, or both.
I found myself pleased with how the authors make a point of including developments and applications in their text, in coding theory in particular. I quite enjoyed carrying this small volume around, reading a section or two at a time. In fact, I felt it added to the introductory nature of the text.
But we shall see that this is not the case: Likewise, algorithms are discussed strictly from a mathematical viewpoint — as in the Euclidean Algorithm, as are recurrence relations. The book is awesome and I was impressed by the lucid treatment lvasz the authors.
It is indeed elementary enough to use as a text in class although be warned: 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”. I’m a sucker for projective planes, as well as cryptography, and was delighted with this selection as a fitting conclusion to the book.
Vesztergombi Limited preview – In light of this, one must certainly ask whether or not another book on the subject belongs on the bookshelf. This area of mathematics is called number theory, and it is a truly venerable field: Integers Divisors and Primes. This book is aimed at undergraduate mathematics and computer science students mathematocs in developing a feeling for what mathematics is all about, where mathematics can be helpful, and what kinds of questions mathematicians work on.
Then there is a foray into planar geometry leading to a discussion of the Four Color Theorem. The authors carefully remind us throughout the text that what is convincing does not necessarily constitute a proof.
The first chapter takes up the topics of sets and counting, but the discussion of unions of sets, intersection of sets, and discgete such introductory logic is extremely brief. One might think that after years of research, one would know essentially everything about the subject.
Binomial Coefficients and Pascals Triangle.
Graphs and trees, and matching and optimization problems are the themes of the next few chapters. Coloring Maps and Graphs. But they do not shy away from first convincing the reader of the likelihood lovasa a result having usually led the reader to that point skillfully and then providing a proof.
Laszlo Lovász biography
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! Its roots go back about years, to the very beginning of Greek mathematics.
The first paragraph of the chapter entitled Integers, Divisors, and Primes presents a good example of this philosophy in action: Other editions – View all Discrete Mathematics: Elementary and Beyond Discrete Mathematics: 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.