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Diskrete Mathematik
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Book Synopsis Discrete Mathematics by : Martin Aigner
Download or read book Discrete Mathematics written by Martin Aigner and published by American Mathematical Society. This book was released on 2023-01-24 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of fast computers and the search for efficient algorithms revolutionized combinatorics and brought about the field of discrete mathematics. This book is an introduction to the main ideas and results of discrete mathematics, and with its emphasis on algorithms it should be interesting to mathematicians and computer scientists alike. The book is organized into three parts: enumeration, graphs and algorithms, and algebraic systems. There are 600 exercises with hints and solutions to about half of them. The only prerequisites for understanding everything in the book are linear algebra and calculus at the undergraduate level. Praise for the German edition… This book is a well-written introduction to discrete mathematics and is highly recommended to every student of mathematics and computer science as well as to teachers of these topics. —Konrad Engel for MathSciNet Martin Aigner is a professor of mathematics at the Free University of Berlin. He received his PhD at the University of Vienna and has held a number of positions in the USA and Germany before moving to Berlin. He is the author of several books on discrete mathematics, graph theory, and the theory of search. The Monthly article Turan's graph theorem earned him a 1995 Lester R. Ford Prize of the MAA for expository writing, and his book Proofs from the BOOK with Günter M. Ziegler has been an international success with translations into 12 languages.
Book Synopsis Die Fakultät für Mathematik und Geoinformation/The Faculty of Mathematics and Geoinformation by : Michael Drmota
Download or read book Die Fakultät für Mathematik und Geoinformation/The Faculty of Mathematics and Geoinformation written by Michael Drmota and published by Böhlau Verlag Wien. This book was released on 2016-07-11 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Faculty of Mathematics and Geoinformation of the TU Wien has existed as such since the division of the early, very large Faculty of Technical Sciences in 2004. It provides its own study programmes in both subjects, as well as ensuring the mathematical and geometrical basic education of the students of all seven other faculties. The faculty also conducts research in broad and highly crucial focal areas. The current volume is part of a comprehensive commemorative series published in 2015 for the bicentennial memorial of the TU Wien providing information on the research activities, teaching tasks, and history of the Faculty of Mathematics and Geoinformation, in particular over the last 50 years. Special attention has been paid to the exceptional scientific achievements of faculty members.
Book Synopsis Discrete Geometry by : Andras Bezdek
Download or read book Discrete Geometry written by Andras Bezdek and published by CRC Press. This book was released on 2003-02-04 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana. Discrete Geometry analyzes packings and coverings with congruent convex bodies , arrangements on the sphere, line transversals, Euclidean and spherical tilings, geometric graphs, polygons and polyhedra, and fixing systems for convex figures. This text also offers research and contributions from more than 50 esteemed international authorities, making it a valuable addition to any mathematical library.
Book Synopsis Elements of Discrete Mathematics by : Volker Diekert
Download or read book Elements of Discrete Mathematics written by Volker Diekert and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-12-31 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Discrete Mathematics by : Helmut Alt
Download or read book Computational Discrete Mathematics written by Helmut Alt and published by Springer. This book was released on 2003-06-30 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a graduate education program on computational discrete mathematics run for several years in Berlin, Germany, as a joint effort of theoretical computer scientists and mathematicians in order to support doctoral students and advanced ongoing education in the field of discrete mathematics and algorithmics. The 12 selected lectures by leading researchers presented in this book provide recent research results and advanced topics in a coherent and consolidated way. Among the areas covered are combinatorics, graph theory, coding theory, discrete and computational geometry, optimization, and algorithmic aspects of algebra.
Book Synopsis A Journey Through Discrete Mathematics by : Martin Loebl
Download or read book A Journey Through Discrete Mathematics written by Martin Loebl and published by Springer. This book was released on 2017-10-11 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiří Matoušek, who passed away prematurely in March 2015. It is a collaborative effort by his colleagues and friends, who have paid particular attention to clarity of exposition – something Jirka would have approved of. The original research articles, surveys and expository articles, written by leading experts in their respective fields, map Jiří Matoušek’s numerous areas of mathematical interest.
Book Synopsis Invitation to Discrete Mathematics by : Jiří Matoušek
Download or read book Invitation to Discrete Mathematics written by Jiří Matoušek and published by Oxford University Press. This book was released on 2009 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear and self-contained introduction to discrete mathematics for undergraduates and early graduates.
Book Synopsis Contemporary Trends in Discrete Mathematics by : Ronald L. Graham
Download or read book Contemporary Trends in Discrete Mathematics written by Ronald L. Graham and published by American Mathematical Soc.. This book was released on 1999 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty-five papers from the May 1997 conference discuss current trends in discrete mathematics in all its versatility, width, and depth. The largest number of papers deal with graph theory. Other topics include a more structural (algebraic) approach, combinatorial questions of an algebraic nature, problems related to computer science, and applications. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis The Mathematics of Paul Erdös II by : Ronald L. Graham
Download or read book The Mathematics of Paul Erdös II written by Ronald L. Graham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1992, when Paul Erdos was awarded a Doctor Honoris Causa by Charles University in Prague, a small conference was held, bringing together a distin guished group of researchers with interests spanning a variety of fields related to Erdos' own work. At that gathering, the idea occurred to several of us that it might be quite appropriate at this point in Erdos' career to solicit a col lection of articles illustrating various aspects of Erdos' mathematical life and work. The response to our solicitation was immediate and overwhelming, and these volumes are the result. Regarding the organization, we found it convenient to arrange the papers into six chapters, each mirroring Erdos' holistic approach to mathematics. Our goal was not merely a (random) collection of papers but rather a thor oughly edited volume composed in large part by articles explicitly solicited to illustrate interesting aspects of Erdos and his life and work. Each chap ter includes an introduction which often presents a sample of related Erdos' problems "in his own words". All these (sometimes lengthy) introductions were written jointly by editors. We wish to thank the nearly 70 contributors for their outstanding efforts (and their patience). In particular, we are grateful to Bela Bollobas for his extensive documentation of Paul Erdos' early years and mathematical high points (in the first part of this volume); our other authors are acknowledged in their respective chapters. We also want to thank A. Bondy, G. Hahn, I.
Book Synopsis Handbook of Mathematics by : I.N. Bronshtein
Download or read book Handbook of Mathematics written by I.N. Bronshtein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 1201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications. For the 4th edition, the concept of the book has been completely re-arranged. The new emphasis is on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes, namely Numerical Mathematics, Probability Theory and Statistics, as well as Information Processing.
Book Synopsis Analysis and Linear Algebra by : Thomas Holey
Download or read book Analysis and Linear Algebra written by Thomas Holey and published by Springer Nature. This book was released on 2023-01-13 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This elementary introduction was developed from lectures by the authors on business mathematics and the lecture "Analysis and Linear Algebra" for Bachelor's degree programmes
Book Synopsis Relational Mathematics by : Gunther Schmidt
Download or read book Relational Mathematics written by Gunther Schmidt and published by Cambridge University Press. This book was released on 2011 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.
Book Synopsis Combinatorics, Geometry and Probability by : Béla Bollobás
Download or read book Combinatorics, Geometry and Probability written by Béla Bollobás and published by Cambridge University Press. This book was released on 1997-05-22 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: A panorama of combinatorics by the world's experts.
Book Synopsis Convex Geometry by : Shiri Artstein-Avidan
Download or read book Convex Geometry written by Shiri Artstein-Avidan and published by Springer Nature. This book was released on 2023-12-13 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the lecture notes of the Summer School on Convex Geometry, held in Cetraro, Italy, from August 30th to September 3rd, 2021. Convex geometry is a very active area in mathematics with a solid tradition and a promising future. Its main objects of study are convex bodies, that is, compact and convex subsets of n-dimensional Euclidean space. The so-called Brunn--Minkowski theory currently represents the central part of convex geometry. The Summer School provided an introduction to various aspects of convex geometry: The theory of valuations, including its recent developments concerning valuations on function spaces; geometric and analytic inequalities, including those which come from the Lp Brunn--Minkowski theory; geometric and analytic notions of duality, along with their interplay with mass transportation and concentration phenomena; symmetrizations, which provide one of the main tools to many variational problems (not only in convex geometry). Each of these parts is represented by one of the courses given during the Summer School and corresponds to one of the chapters of the present volume. The initial chapter contains some basic notions in convex geometry, which form a common background for the subsequent chapters. The material of this book is essentially self-contained and, like the Summer School, is addressed to PhD and post-doctoral students and to all researchers approaching convex geometry for the first time.
Book Synopsis Graph Classes by : Andreas Brandstadt
Download or read book Graph Classes written by Andreas Brandstadt and published by SIAM. This book was released on 1999-01-01 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-organized reference is a definitive encyclopedia for the literature on graph classes. It contains a survey of more than 200 classes of graphs, organized by types of properties used to define and characterize the classes, citing key theorems and literature references for each. The authors state results without proof, providing readers with easy access to far more key theorems than are commonly found in other mathematical texts. Interconnections between graph classes are also provided to make the book useful to a variety of readers.
Book Synopsis Mathematical Properties of Sequences and Other Combinatorial Structures by : Jong-Seon No
Download or read book Mathematical Properties of Sequences and Other Combinatorial Structures written by Jong-Seon No and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Properties of Sequences and Other Combinatorial Structures is an excellent reference for both professional and academic researchers working in telecommunications, cryptography, signal processing, discrete mathematics, and information theory. The work represents a collection of contributions from leading experts in the field. Contributors have individually and collectively dedicated their work as a tribute to the outstanding work of Solomon W. Golomb. Mathematical Properties of Sequences and Other Combinatorial Structures covers the latest advances in the widely used and rapidly developing field of information and communication technology.
Book Synopsis The Diophantine Frobenius Problem by : Jorge L. Ramírez Alfonsín
Download or read book The Diophantine Frobenius Problem written by Jorge L. Ramírez Alfonsín and published by Oxford University Press, USA. This book was released on 2005-12 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he following problem, known as the Frobenius Problem (FP): given relatively prime positive integers a1,...,an, find the largest natural number (called the Frobenius number and denoted by g(a1,...,an) that is not representable as a nonnegative integer combination of a1,...,an, . At first glance FP may look deceptively specialized. Nevertheless it crops up again and again in the most unexpected places and has been extremely useful in investigating many different problems. A number of methods, from several areas of mathematics, have been used in the hope of finding a formula giving the Frobenius number and algorithms to calculate it. The main intention of this book is to highlight such methods, ideas, viewpoints and applications to a broader audience.
