Concrete Mathematics

Author : Ronald L. Graham
Publisher : Addison-Wesley Professional
ISBN 13 : 0134389980
Total Pages : 811 pages
Book Rating : 4.81/5 ( download)

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Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Ronald L. Graham
Publisher : Pearson Education India
ISBN 13 : 9788131708415
Total Pages : 648 pages
Book Rating : 4.11/5 ( download)

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Download or read book Concrete Mathematics: A Foundation for Computer Science written by Ronald L. Graham and published by Pearson Education India. This book was released on 1994 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ronald L. Graham
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 650 pages
Book Rating : 4.13/5 ( download)

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Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison Wesley Publishing Company. This book was released on 1989 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."--from Amazon.com.

Author : Z. A. Melzak
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.48/5 ( download)

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Download or read book Companion to Concrete Mathematics written by Z. A. Melzak and published by Wiley-Interscience. This book was released on 1973 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Marian Muresan
Publisher : Springer Science & Business Media
ISBN 13 : 0387789332
Total Pages : 433 pages
Book Rating : 4.30/5 ( download)

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Download or read book A Concrete Approach to Classical Analysis written by Marian Muresan and published by Springer Science & Business Media. This book was released on 2015-09-16 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential and integral calculus, and includes a wealth of useful and relevant examples, exercises, and results enlightening the reader to the power of mathematical tools. The intended audience consists of advanced undergraduates studying mathematics or computer science. The author provides excursions from the standard topics to modern and exciting topics, to illustrate the fact that even first or second year students can understand certain research problems. The text has been divided into ten chapters and covers topics on sets and numbers, linear spaces and metric spaces, sequences and series of numbers and of functions, limits and continuity, differential and integral calculus of functions of one or several variables, constants (mainly pi) and algorithms for finding them, the W - Z method of summation, estimates of algorithms and of certain combinatorial problems. Many challenging exercises accompany the text. Most of them have been used to prepare for different mathematical competitions during the past few years. In this respect, the author has maintained a healthy balance of theory and exercises.

Author : Daniel J. Velleman
Publisher : Cambridge University Press
ISBN 13 : 0521861241
Total Pages : 401 pages
Book Rating : 4.43/5 ( download)

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Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of Daniel J. Velleman's successful textbook contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.

Author : Lindsay N. Childs
Publisher : Springer Science & Business Media
ISBN 13 : 1441987029
Total Pages : 540 pages
Book Rating : 4.20/5 ( download)

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Download or read book A Concrete Introduction to Higher Algebra written by Lindsay N. Childs and published by Springer Science & Business Media. This book was released on 2012-12-04 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.

Author : R. M. Dudley
Publisher : Springer Science & Business Media
ISBN 13 : 1441969500
Total Pages : 671 pages
Book Rating : 4.07/5 ( download)

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Download or read book Concrete Functional Calculus written by R. M. Dudley and published by Springer Science & Business Media. This book was released on 2010-11-03 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concrete Functional Calculus focuses primarily on differentiability of some nonlinear operators on functions or pairs of functions. This includes composition of two functions, and the product integral, taking a matrix- or operator-valued coefficient function into a solution of a system of linear differential equations with the given coefficients. In this book existence and uniqueness of solutions are proved under suitable assumptions for nonlinear integral equations with respect to possibly discontinuous functions having unbounded variation. Key features and topics: Extensive usage of p-variation of functions, and applications to stochastic processes. This work will serve as a thorough reference on its main topics for researchers and graduate students with a background in real analysis and, for Chapter 12, in probability.

Author : W. W. Sawyer
Publisher : Courier Dover Publications
ISBN 13 : 0486824616
Total Pages : 241 pages
Book Rating : 4.11/5 ( download)

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Download or read book Concrete Approach to Abstract Algebra written by W. W. Sawyer and published by Courier Dover Publications. This book was released on 2018-08-15 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. Includes exercises with complete solutions. The only prerequisite is high school-level algebra. 1959 edition.

Author : Jiri Adamek
Publisher :
ISBN 13 : 9780486469348
Total Pages : 0 pages
Book Rating : 4.44/5 ( download)

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Download or read book Abstract and Concrete Categories written by Jiri Adamek and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This up-to-date introductory treatment employs category theory to explore the theory of structures. Its unique approach stresses concrete categories and presents a systematic view of factorization structures, offering a unifying perspective on earlier work and summarizing recent developments. Numerous examples, ranging from general to specific, illuminate the text. 1990 edition, updated 2004.