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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Mathematicss 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. 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”.
This is the longest chapter in the text, at about thirty pages. A Glimpse of Complexity and Cryptography. I’m a sucker for projective planes, as well as cryptography, and was delighted with this selection as a fitting conclusion to the book. Surely there are some readers who will find this sort of bait and switch annoying, but I am not one livasz them.
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. 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.
Coloring Maps and Graphs.
Likewise, algorithms are discussed strictly from a mathematical viewpoint — as in the Euclidean Algorithm, as are recurrence relations. But they do not shy away from first convincing the reader of the likelihood of a result having usually led the reader to ladzlo point skillfully and then providing a proof. 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.
To conclude, in Discrete Mathematics Lovasz, Pelikan and Vesztergombi have succeeded in providing us with a book that is sure to please many readers.
But a reader interested in discrete mathematics mostly for the sake of computer science will likely be disappointed, frustrated, or both. Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, mathemafics theory and the theory of computing. The authors carefully remind us throughout the text that what is convincing does not necessarily constitute a proof.
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. Integers Divisors and Primes. In addition, there are numerous examples, figures and exercises spread throughout the book. Its roots go back about years, to discree 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:.
In Chapter Six, the theme is prime numbers. Elementary and Beyond L. Lawzlo 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. I found myself pleased with how the authors make a point of including developments and applications in their text, in coding theory in particular.
Binomial Coefficients and Pascals Triangle. User Review – Flag as inappropriate The book is awesome and I was impressed by the lucid treatment by the authors. Coloring Maps and Graphs.
Discrete mathematics (Lovász László; Pelikán József; Vesztergombi Katalin)
Elementary and Beyond Discrete Mathematics: One might think that after years of research, one would know essentially everything about the subject. I learned of a few results here.
This result is not new the authors date it to the late s but it was new to me. But we shall see that this is not the case: Then there is a foray into planar geometry leading to a discussion of the Four Color Theorem.
Account Options Sign in. This book does a wonderful job of communicating mathematics as a vibrant field. It is indeed elementary enough to use as a text in class although be warned: The first paragraph of the chapter entitled Integers, Divisors, and Primes presents a good example of this philosophy in action: For many, the answer with respect to this book should be yes. Elementary and Beyond Undergraduate Texts in Mathematics.
Other editions – View all Discrete Mathematics: Primality testing is not new either, but it is not standard fare, and lends a nice flavor here. Vesztergombi Limited preview – In addition, there are numerous examples, figures and exercises spread throughout the book. There are very simple, natural questions that we cannot answer; and there mathemaitcs other simple, natural questions to which an answer has been found only in the last few years!
Until I started actually reading it. This book is aimed at undergraduate mathematics and computer science students interested in developing a Account Options Sign in. This book is discfete 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.
This area of mathematics is called number theory, and it is a truly venerable field: For example, there is no mention of lsazlo logic or automata. 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.