Combinatorial Methods with Computer Applications (Discrete Mathematics and Its Applications)
by Jonathan L. Gross
Combinatorial Methods with Computer Applications provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries. Requiring only a foundation in discrete mathematics, it can serve as the textbook in a combinat
This second edition of Alexander Soifer's How Does One Cut a Triangle? demonstrates how different areas of mathematics can be juxtaposed in the solution of a given problem. The author employs geometry, algebra, trigonometry, linear algebra, and rings to develop a miniature model of mathematical research.
Das Buch Der Beweise
by Martin Aigner, Gunter Ziegler, and G Nter M Ziegler
Diese deutlich erweiterte dritte Auflage enthalt funfneue Kapitel, in denen es um Klassiker geht wie den "Fundamentalsatz der Algebra,"um kombinatorisch-geometrische Zerlegungsprobleme, aber auch um Beweise aus letzter Zeit, etwa fur die "Kneser-Vermutung" in der Graphentheorie.Die Neuausgabe wartet auch mit weiteren Verbesserungen und Uberraschungen auf - darunter ein neuer Beweis fur "Hilberts drittes Problem."Aus den Rezensionen: "Ein prachtiges, ausserst sorgfaltig und liebevoll gestaltetes...
Graphs, Networks and Algorithms (Algorithms and Computation in Mathematics, #5)
by Dieter Jungnickel
Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed
Parallel Scientific Computing (Lecture Notes in Computer Science, #879)
This volume presents the proceedings of the First International workshop on Parallel Scientific Computing, PARA '94, held in Lyngby, Denmark in June 1994. It reports interdisciplinary work done by mathematicians, scientists and engineers working on large-scale computational problems in discussion with computer science specialists in the field of parallel methods and the efficient exploitation of modern high-performance computing resources. The 53 full refereed papers provide a wealth of new resu...
Lectures on the Combinatorics of Free Probability (London Mathematical Society Lecture Note)
by Alexandru Nica and Roland Speicher
Free Probability Theory studies a special class of 'noncommutative'random variables, which appear in the context of operators on Hilbert spaces and in one of the large random matrices. Since its emergence in the 1980s, free probability has evolved into an established field of mathematics with strong connections to other mathematical areas, such as operator algebras, classical probability theory, random matrices, combinatorics, representation theory of symmetric groups. Free probability also conn...
Handbook of Graphs and Networks – From the Genome to the Internet
Complex interacting networks are observed in systems from such diverse areas as physics, biology, economics, ecology, and computer science. For example, economic or social interactions often organize themselves in complex network structures. Similar phenomena are observed in traffic flow and in communication networks as the Internet. In current problems of the Biosciences, prominent examples are protein networks in the living cell, as well as molecular networks in the genome. On larger scales on...
Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From the Knight's Tour Problem and Queens Domination to their many variations, John Watkins surveys all the well-known problems in this surprisingly fertile area of recreational mathematics. Can a knight follow a path that covers every square once, endi...
Aritmetica, Crittografia E Codici
by W M Baldoni, C Ciliberto, and Giulia Maria Piacentini Cattaneo
Il libro potra essere utile a studenti e/o a studiosi, sia di discipline teoriche, come i matematici puri, che applicative come fisici, informatici o ingegneri, che intendano avvicinarsi alla crittografia. Costoro troveranno nel libro un approccio elementare, pur avendo il testo l'obiettivo di esporre in dettaglio anche risultati profondi e attuali sugli argomenti trattati. Il volume potra essere utile ai docenti che intendano svolgere un corso su questi argomenti, la cui presenza sempre piu vie...
Discover the properties and real-world applications of the Fibonacci and the Catalan numbers With clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduction offers a fascinating overview of these topics that is accessible to a broad range of readers. Beginning with a historical development of each topic, the book guides readers through the essential properties of the Fibonacci numbers, offering many introductory-level examples. The author explains the relation...
Cet ouvrage regroupe quelques dA(c)monstrations mathA(c)matiques choisies pour leur A(c)lA(c)gance. Il expose des idA(c)es brillantes, des rapprochements inattendus et des observations remarquables qui apportent un A(c)clairage nouveau sur des problA]mes fondamentaux. Selon le mathA(c)maticien Paul ErdAs, qui a lui-mAame suggA(c)rA(c) plusieurs des thA]mes prA(c)sentA(c)s, les preuves dA(c)veloppA(c)es ici, mA(c)riteraient da (TM)Aatre retenues pour figurer dans Le livre oA Dieu aurait rA(c)pert...
In a comprehensive yet easy-to-follow manner, Discrete Mathematics for New Technology follows the progression from the basic mathematical concepts covered by the GCSE in the UK and by high-school algebra in the USA to the more sophisticated mathematical concepts examined in the latter stages of the book. The book punctuates the rigorous treatment of theory with frequent uses of pertinent examples and exercises, enabling readers to achieve a feel for the subject at hand. The exercise hints and so...
Problemes d'Informatique Fondamentale (Scopos, #13)
by Eric Badouel, Stephane Boucheron, Anne Dicky, Antoine Petit, Miklos Santha, Pascal Weil, and Marc Zeitoun
Ce recueil de problemes corriges vise a proposer des voyages initiatiques a quelques domaines de la science informatique. Ces problemes ont tous ete poses au concours d'entree en troisieme annee de l'ENS de Cachan, section informatique, ou a feu l'option mathematiques de l'informatique de l'Agregation de mathematiques. Ils ont ete concus par des enseignants chercheurs en informatique du CNRS ou de l'Universite, et ont pour but principal de tester la capacite des etudiants a comprendre des concep...
This book is the outcome of research initiatives formed during the special ``Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory'' at the ICMAT (Instituto de Ciencias Matematicas, Madrid) in 2014. The activity was aimed at understanding and deepening recent developments where Feynman and string amplitudes on the one hand, and periods and multiple zeta values on the other, have been at the heart of lively and fruitful interactions between theoretical phys...
This is a textbook for a course in the theory of games. It is intended for advanced undergraduates and graduate students in mathematics and other quantitative disciplines, e.g., statistics, operations research, etc. It treats the central topics in game theory and is meant to give students a basis from which they can go on to more advanced topics. The subject matter is approached in a mathematically rigorous way, but , within this constraint, an effort is made to keep it interesting and lively. N...
Rigidez em Grafos de Proteinas (Coloquio Brasileiro de Matematica)
by Carlile Lavor
It's An Aerospace Engineering Thing I'm An Engineer Super Engineer
by Engi Masterr
Graphs & Digraphs, Fourth Edition (Textbooks in Mathematics)
by Gary Chartrand, Linda Lesniak, and Ping Zhang
The second edition of this text integrates the discussion of graphs and digraphs and has new material on graph algorithms and their applications. This book should be of interest to undergraduate and graduate students taking courses in graph theory.
Graph Drawing (Lecture Notes in Computer Science, #1547)
Graphdrawingaddressestheproblemofconstructingrepresentationsofabstract graphs, networks, and hypergraphs. The 6th Symposium on Graph Drawing (GD '98) was held August 13{15, 1998,atMcGillUniversity,Montr eal,Canada.ItimmediatelyfollowedtheTenth Canadian Conference on Computational Geometry (CCCG '98), held August 10{12 at McGill. The GD '98 conference attracted 100 paid registrants from academic and industrial institutions in thirteen countries. Roughly half the p- ticipantsalsoattendedCCCG'98.As...
This book contains ten articles, mainly survey type, on some current research areas in graph theory, namely, graceful labeling, L(2,1)-labelling, complexity of graph labeling problems, dominations, interval graphs, matrices and graphs, colouring of labelled graphs and hypergraphs, self-complementary graphs, and strongly regular graphs. Several research problems have been mentioned in the book and at the end of each article a number of references have been included. This book will be beneficial...
Games, or contexts of strategic interaction, pervade and suffuse our lives and the lives of all organisms. How are we to make sense of and cope with such situations? How should an agent play? When will and when won’t cooperation arise and be maintained? Using examples and a careful digestion of the literature, Agents, Games, and Evolution: Strategies at Work and Play addresses these encompassing themes throughout, and is organized into four parts: Part I introduces classical game theory and...