Combinatorial Mathematics V
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Author |
: Ralph P. Grimaldi |
Publisher |
: |
Total Pages |
: 930 |
Release |
: 2013-07-27 |
ISBN-10 |
: 1292022795 |
ISBN-13 |
: 9781292022796 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Discrete and Combinatorial Mathematics by : Ralph P. Grimaldi
This fifth edition continues to improve on the features that have made it the market leader. The text offers a flexible organization, enabling instructors to adapt the book to their particular courses. The book is both complete and careful, and it continues to maintain its emphasis on algorithms and applications. Excellent exercise sets allow students to perfect skills as they practice. This new edition continues to feature numerous computer science applications-making this the ideal text for preparing students for advanced study.
Author |
: C. H. C. Little |
Publisher |
: Springer |
Total Pages |
: 224 |
Release |
: 2006-11-15 |
ISBN-10 |
: 9783540370208 |
ISBN-13 |
: 354037020X |
Rating |
: 4/5 (08 Downloads) |
Synopsis Combinatorial Mathematics V. by : C. H. C. Little
Author |
: Ralph P. Grimaldi |
Publisher |
: Addison Wesley Publishing Company |
Total Pages |
: 880 |
Release |
: 1993-10-01 |
ISBN-10 |
: 0201600447 |
ISBN-13 |
: 9780201600445 |
Rating |
: 4/5 (47 Downloads) |
Synopsis Discrete and Combinatorial Mathematics by : Ralph P. Grimaldi
Author |
: Vladimir N. Sachkov |
Publisher |
: Cambridge University Press |
Total Pages |
: 324 |
Release |
: 1996-01-11 |
ISBN-10 |
: 9780521455138 |
ISBN-13 |
: 0521455138 |
Rating |
: 4/5 (38 Downloads) |
Synopsis Combinatorial Methods in Discrete Mathematics by : Vladimir N. Sachkov
This is an attempt to present some complex problems of discrete mathematics in a simple and unified form using a unique, general combinatorial scheme. The author's aim is not always to present the most general results, but rather to focus attention on ones that illustrate the methods described. A distinctive aspect of the book is the large number of asymptotic formulae derived.This is an important book, describing many ideas not previously available in English; the author has taken the chance to update the text and references where appropriate.
Author |
: Günter Ewald |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 378 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461240440 |
ISBN-13 |
: 1461240441 |
Rating |
: 4/5 (40 Downloads) |
Synopsis Combinatorial Convexity and Algebraic Geometry by : Günter Ewald
The book is an introduction to the theory of convex polytopes and polyhedral sets, to algebraic geometry, and to the connections between these fields, known as the theory of toric varieties. The first part of the book covers the theory of polytopes and provides large parts of the mathematical background of linear optimization and of the geometrical aspects in computer science. The second part introduces toric varieties in an elementary way.
Author |
: Philippe Flajolet |
Publisher |
: Cambridge University Press |
Total Pages |
: 825 |
Release |
: 2009-01-15 |
ISBN-10 |
: 9781139477161 |
ISBN-13 |
: 1139477161 |
Rating |
: 4/5 (61 Downloads) |
Synopsis Analytic Combinatorics by : Philippe Flajolet
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Author |
: Raj Chandra Bose |
Publisher |
: |
Total Pages |
: 632 |
Release |
: 1969 |
ISBN-10 |
: STANFORD:36105032522810 |
ISBN-13 |
: |
Rating |
: 4/5 (10 Downloads) |
Synopsis Combinatorial Mathematics and Its Applications by : Raj Chandra Bose
Author |
: Bruce E. Sagan |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 304 |
Release |
: 2020-10-16 |
ISBN-10 |
: 9781470460327 |
ISBN-13 |
: 1470460327 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Combinatorics: The Art of Counting by : Bruce E. Sagan
This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.
Author |
: Kenneth P. Bogart |
Publisher |
: Harcourt Brace College Publishers |
Total Pages |
: 648 |
Release |
: 1990 |
ISBN-10 |
: UOM:39015019632101 |
ISBN-13 |
: |
Rating |
: 4/5 (01 Downloads) |
Synopsis Introductory Combinatorics by : Kenneth P. Bogart
Introductory, Combinatorics, Third Edition is designed for introductory courses in combinatorics, or more generally, discrete mathematics. The author, Kenneth Bogart, has chosen core material of value to students in a wide variety of disciplines: mathematics, computer science, statistics, operations research, physical sciences, and behavioral sciences. The rapid growth in the breadth and depth of the field of combinatorics in the last several decades, first in graph theory and designs and more recently in enumeration and ordered sets, has led to a recognition of combinatorics as a field with which the aspiring mathematician should become familiar. This long-overdue new edition of a popular set presents a broad comprehensive survey of modern combinatorics which is important to the various scientific fields of study.
Author |
: Rekha R. Thomas |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 156 |
Release |
: 2006 |
ISBN-10 |
: 0821841408 |
ISBN-13 |
: 9780821841402 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Lectures in Geometric Combinatorics by : Rekha R. Thomas
This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for an advanced undergraduate or beginning graduate student. The book starts with the basics of polytope theory. Schlegel and Gale diagrams are introduced as geometric tools to visualize polytopes in high dimension and to unearth bizarre phenomena in polytopes. The heart of the book is a treatment of the secondary polytope of a point configuration and its connections to the statepolytope of the toric ideal defined by the configuration. These polytopes are relatively recent constructs with numerous connections to discrete geometry, classical algebraic geometry, symplectic geometry, and combinatorics. The connections rely on Grobner bases of toric ideals and other methods fromcommutative algebra. The book is self-contained and does not require any background beyond basic linear algebra. With numerous figures and exercises, it can be used as a textbook for courses on geometric, combinatorial, and computational aspects of the theory of polytopes.