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Produktbeschreibungen
Kurzbeschreibung
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories.Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: *Sums *Recurrences *Integer functions *Elementary number theory *Binomial coefficients *Generating functions *Discrete probability *Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them. 0201558025B04062001
Synopsis
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories.Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study.Major topics include: *Sums *Recurrences *Integer functions *Elementary number theory *Binomial coefficients *Generating functions *Discrete probability *Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them. 0201558025B04062001
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22 von 23 Kunden fanden die folgende Rezension hilfreich
Format:Gebundene Ausgabe
This is one of those books you keep forever, purely for its utility: it's packed with formulas, techniques, examples. But more than that, the authors lead you through the techniques and explain the concepts behind them, with the goal of equipping you with the mental tools to attack any mathematical problem you encounter. And to top it off, it's well-written, and the "margin notes" provide some comic relief. The material is very dense, and it's not a book I'd recommend for casual reading: this is stuff you only work through if you're going to need it. But if you *are* going to need it, this book will make it a lot more pleasant.
2 von 4 Kunden fanden die folgende Rezension hilfreich
Format:Gebundene Ausgabe
hmm, well I myself am an engineer but also have an avid interest in maths..of course the maths average engineer uses is calculus , linear algebra et al. not pure maths..so a common engineer might be dissatisfied with this book. Neverhteless that shouldn't dissuade the maths enthusiast because this is one of the good books written on discrete maths essential for comp sci student and/or a maths major to get a sound grasp of the basics. I hope everyone benefits from this effort to popularise ancient pure maths in the world of abstract maths !
3 von 6 Kunden fanden die folgende Rezension hilfreich
Format:Gebundene Ausgabe
This book is a gem. It provides a further level of understanding not necessarily accessible to those taught the topics of the book in a standard format. For example, one can learn techniques such as induction and perform them a formal near mechanical fashion WITHOUT understanding the WHY of the behavior of relationships being proven. This book gives you that further level of WHY.
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..GREAT
..Amazing..now I see the beauty in mathematics..Knuth weaves magic..book is pure gem ..should be on every computer scientists table. Thank you very much for the book dear authors.
Am 18. November 1999 veröffentlicht
Very good but w/o sufficient detail in one area
This book is an excellent introduction to the mathematics of algorithms, and besides featuring an engaging, chatty style, is for the most part accessible to people who do not have... Lesen Sie weiter...
Am 16. Juli 1999 veröffentlicht
The title of this book is greatly misleading.
This is not a book on CONCRETE mathematics. If it were a book on concrete mathematics, then the authors would show how the techniques described in the book arise from having to... Lesen Sie weiter...
Am 25. April 1999 veröffentlicht
GREAT book. Used it for wonderful read & wonderful resource
Wonderful for so many things. The way it tends to Generating funcions, asymptotics, and so on and so on. It's SO good.
Veröffentlicht am 8. März 1999 von Sam Greenberg
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