Tags
Language
Tags
July 2025
Su Mo Tu We Th Fr Sa
29 30 1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31 1 2
    Attention❗ To save your time, in order to download anything on this site, you must be registered 👉 HERE. If you do not have a registration yet, it is better to do it right away. ✌

    ( • )( • ) ( ͡⚆ ͜ʖ ͡⚆ ) (‿ˠ‿)
    SpicyMags.xyz

    Notes on Introductory Combinatorics (Repost)

    Posted By: AvaxGenius
    Notes on Introductory Combinatorics (Repost)

    Notes on Introductory Combinatorics by George Pólya
    English | PDF | 2010 | 202 Pages | ISBN : 0817631232 | 97.5 MB

    Developed from the authors’ introductory combinatorics course, this book focuses on a branch of mathematics which plays a crucial role in computer science. Combinatorial methods provide many analytical tools used for determining the expected performance of computer algorithms. Elementary subjects such as combinations and permutations, and mathematical tools such as generating functions and Pólya’s Theory of Counting, are covered, as are analyses of specific problems such as Ramsey Theory, matchings, and Hamiltonian and Eulerian paths.

    Computations in Algebraic Geometry with Macaulay 2

    Posted By: AvaxGenius
    Computations in Algebraic Geometry with Macaulay 2

    Computations in Algebraic Geometry with Macaulay 2 by David Eisenbud, Michael Stillman, Daniel R. Grayson, Bernd Sturmfels
    English | PDF | 2002 | 335 Pages | ISBN : 3540422307 | 23.9 MB

    Systems of polynomial equations arise throughout mathematics, science, and engineering. Algebraic geometry provides powerful theoretical techniques for studying the qualitative and quantitative features of their solution sets. Re­ cently developed algorithms have made theoretical aspects of the subject accessible to a broad range of mathematicians and scientists. The algorith­ mic approach to the subject has two principal aims: developing new tools for research within mathematics, and providing new tools for modeling and solv­ ing problems that arise in the sciences and engineering. A healthy synergy emerges, as new theorems yield new algorithms and emerging applications lead to new theoretical questions. This book presents algorithmic tools for algebraic geometry and experi­ mental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications. The reader of this book will encounter Macaulay 2 in the context of concrete applications and practical computations in algebraic geometry. The expositions of the algorithmic tools presented here are designed to serve as a useful guide for those wishing to bring such tools to bear on their own problems. A wide range of mathematical scientists should find these expositions valuable. This includes both the users of other programs similar to Macaulay 2 (for example, Singular and CoCoA) and those who are not interested in explicit machine computations at all.

    Enumerative Combinatorics

    Posted By: arundhati
    Enumerative Combinatorics

    Charalambos A. Charalambides, "Enumerative Combinatorics "
    English | ISBN: 1584882905 | 2002 | 632 pages | EPUB | 1382 KB

    Graph Theory and Combinatorial Optimization (Repost)

    Posted By: AvaxGenius
    Graph Theory and Combinatorial Optimization (Repost)

    Graph Theory and Combinatorial Optimization by David Avis, Alain Hertz, Odile Marcotte
    English | PDF | 2005 | 273 Pages | ISBN : 0387255915 | 15.3 MB

    Graph theory is very much tied to the geometric properties of optimization and combinatorial optimization. Moreover, graph theory's geometric properties are at the core of many research interests in operations research and applied mathematics. Its techniques have been used in solving many classical problems including maximum flow problems, independent set problems, and the traveling salesman problem.

    Configuration Spaces: Geometry, Combinatorics and Topology

    Posted By: AvaxGenius
    Configuration Spaces: Geometry, Combinatorics and Topology

    Configuration Spaces: Geometry, Combinatorics and Topology by A. Bjorner, F. Cohen, C. Concini, C. Procesi, M. Salvetti
    English | PDF (True) | 2012 | 547 Pages | ISBN : 887642430X | 3.4 MB

    These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several classical theories: Braid groups and related topics, configurations of vectors (of great importance in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians.

    Discrete Mathematics Solution Manual

    Posted By: Free butterfly
    Discrete Mathematics Solution Manual

    Discrete Mathematics Solution Manual by Anthony Bonato
    English | 2024 | ISBN: 9781771369978 | 120 pages | PDF | 3.19 Mb

    Lectures on Proof Verification and Approximation Algorithms

    Posted By: AvaxGenius
    Lectures on Proof Verification and Approximation Algorithms

    Lectures on Proof Verification and Approximation Algorithms by Ernst W. Mayr, Hans Jürgen Prömel, Angelika Steger
    English | PDF | 1998 | 51 Pages | ISBN : 3540642013 | 18.6 MB

    During the last few years, we have seen quite spectacular progress in the area of approximation algorithms: for several fundamental optimization problems we now actually know matching upper and lower bounds for their approximability. This textbook-like tutorial is a coherent and essentially self-contained presentation of the enormous recent progress facilitated by the interplay between the theory of probabilistically checkable proofs and aproximation algorithms. The basic concepts, methods, and results are presented in a unified way to provide a smooth introduction for newcomers. These lectures are particularly useful for advanced courses or reading groups on the topic.

    The Traveling Salesman: Computational Solutions for TSP Applications

    Posted By: AvaxGenius
    The Traveling Salesman: Computational Solutions for TSP Applications

    The Traveling Salesman: Computational Solutions for TSP Applications by Gerhard Reinelt
    English | PDF | 1994 | 230 Pages | ISBN : 3540583343 | 2.5 MB

    Still today I am receiving requests for reprints of the book, but unfortunately it is out of print. Therefore, since the book still seems to receive some attention, I p- posed to Springer Verlag to provide a free online edition. I am very happy that Springer agreed. Except for the correction of some typographical errors, the online edition is just a copy of the printed version, no updates have been made. In particular, Table 13.1 gives the status of TSPLIB at the time of publishing the book. For accessing TSPLIB the link http://www.iwr.uni-heidelberg.de/iwr/comopt/software/TSPLIB95/ should be used instead of following the procedure described in Chapter 13. Heidelberg, January 2001 Gerhard Reinelt Preface More than ?fteen years ago, I was faced with the following problem in an assignment for a class in computer science. A brewery had to deliver beer to ?ve stores, and the task was to write a computer program for determining the shortest route for the truck driver to visit all stores and return to the brewery. All my attemps to ?nd a reasonable algorithm failed, I could not help enumerating all possible routes and then select the best one.

    Some Tapas of Computer Algebra (Repost)

    Posted By: AvaxGenius
    Some Tapas of Computer Algebra (Repost)

    Some Tapas of Computer Algebra by Arjeh M. Cohen, Hans Cuypers, Hans Sterk
    English | PDF | 1999 | 365 Pages | ISBN : 3540634800 | 29.3 MB

    In the years 1994, 1995, two EIDMA mini courses on Computer Algebra were given at the Eindhoven University of Technology by, apart from ourselves, various invited lecturers. (EIDMA is the Research School 'Euler Institute for Discrete Mathematics and its Applications'.) The idea of the courses was to acquaint young mathematicians with algorithms and software for mathemat­ ical research and to enable them to incorporate algorithms in their research. A collection of lecture notes was used at these courses. When discussing these courses in comparison with other kinds of courses one might give in a week's time, Joachim Neubüser referred to our courses as 'tapas'. This denomination underlined that the courses consisted of appe­ tizers for various parts of algorithmic algebra; indeed, we covered such spicy topics as the link between Gröbner bases and integer programming, and the detection of algebraic solutions to differential equations. As a collection, the not es turned out to have some appeal of their own, which is the main reason why the idea came up of transforming them into book form. We feIt however, that the book should be distinguishable from a standard text book on computer algebra in that it retains its appetizing flavour by presenting a variety of topics at an accessible level with a view to recent developments.

    Advances in Steiner Trees

    Posted By: AvaxGenius
    Advances in Steiner Trees

    Advances in Steiner Trees by Ding-Zhu Du, J. M. Smith, J. H. Rubinstein
    English | PDF | 2000 | 329 Pages | ISBN : 0792361105 | 26.7 MB

    The Volume on Advances in Steiner Trees is divided into two sections. The first section of the book includes papers on the general geometric Steiner tree problem in the plane and higher dimensions. The second section of the book includes papers on the Steiner problem on graphs. The general geometric Steiner tree problem assumes that you have a given set of points in some d-dimensional space and you wish to connect the given points with the shortest network possible. The given set ofpoints are 3 Figure 1: Euclidean Steiner Problem in E usually referred to as terminals and the set ofpoints that may be added to reduce the overall length of the network are referred to as Steiner points. What makes the problem difficult is that we do not know a priori the location and cardinality ofthe number ofSteiner points. Thus)the problem on the Euclidean metric is not known to be in NP and has not been shown to be NP-Complete. It is thus a very difficult NP-Hard problem.

    The Quadratic Assignment Problem: Theory and Algorithms

    Posted By: AvaxGenius
    The Quadratic Assignment Problem: Theory and Algorithms

    The Quadratic Assignment Problem: Theory and Algorithms by Eranda Çela
    English | PDF | 1998 | 296 Pges | ISBN : 0792348788 | 25 MB

    The quadratic assignment problem (QAP) was introduced in 1957 by Koopmans and Beckmann to model a plant location problem. Since then the QAP has been object of numerous investigations by mathematicians, computers scientists, ope- tions researchers and practitioners. Nowadays the QAP is widely considered as a classical combinatorial optimization problem which is (still) attractive from many points of view. In our opinion there are at last three main reasons which make the QAP a popular problem in combinatorial optimization. First, the number of re- life problems which are mathematically modeled by QAPs has been continuously increasing and the variety of the fields they belong to is astonishing. To recall just a restricted number among the applications of the QAP let us mention placement problems, scheduling, manufacturing, VLSI design, statistical data analysis, and parallel and distributed computing. Secondly, a number of other well known c- binatorial optimization problems can be formulated as QAPs. Typical examples are the traveling salesman problem and a large number of optimization problems in graphs such as the maximum clique problem, the graph partitioning problem and the minimum feedback arc set problem. Finally, from a computational point of view the QAP is a very difficult problem. The QAP is not only NP-hard and - hard to approximate, but it is also practically intractable: it is generally considered as impossible to solve (to optimality) QAP instances of size larger than 20 within reasonable time limits.

    Algebraic Complexity Theory

    Posted By: AvaxGenius
    Algebraic Complexity Theory

    Algebraic Complexity Theory by Peter Bürgisser , Michael Clausen , Mohammad Amin Shokrollahi
    English | PDF | 1997 | 630 Pages | ISBN : 3540605827 | 50.2 MB

    The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro­ posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under­ standing of the intrinsic computational difficulty of problems.

    Modern Cryptography, Probabilistic Proofs and Pseudorandomness

    Posted By: AvaxGenius
    Modern Cryptography, Probabilistic Proofs and Pseudorandomness

    Modern Cryptography, Probabilistic Proofs and Pseudorandomness by Oded Goldreich
    English | PDF | 1999 | 192 Pages | ISBN : 354064766X | 19.8 MB

    You can start by putting the DO NOT DISTURB sign. Cay, in Desert Hearts (1985). The interplay between randomness and computation is one of the most fas­ cinating scientific phenomena uncovered in the last couple of decades. This interplay is at the heart of modern cryptography and plays a fundamental role in complexity theory at large. Specifically, the interplay of randomness and computation is pivotal to several intriguing notions of probabilistic proof systems and is the focal of the computational approach to randomness. This book provides an introduction to these three, somewhat interwoven domains (i.e., cryptography, proofs and randomness). Modern Cryptography. Whereas classical cryptography was confined to the art of designing and breaking encryption schemes (or "secrecy codes"), Modern Cryptography is concerned with the rigorous analysis of any system which should withstand malicious attempts to abuse it. We emphasize two aspects of the transition from classical to modern cryptography: ( 1) the wide­ ning of scope from one specific task to an utmost wide general class of tasks; and (2) the move from an engineering-art which strives on ad-hoc tricks to a scientific discipline based on rigorous approaches and techniques.

    Proofs and Fundamentals: A First Course in Abstract Mathematics

    Posted By: AvaxGenius
    Proofs and Fundamentals: A First Course in Abstract Mathematics

    Proofs and Fundamentals: A First Course in Abstract Mathematics by Ethan D. Bloch
    English | PDF (True) | 2011 | 378 Pages | ISBN : 1441971262 | 4.6 MB

    “Proofs and Fundamentals: A First Course in Abstract Mathematics” 2nd edition is designed as a "transition" course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis. This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences.

    Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions

    Posted By: AvaxGenius
    Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions

    Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions by Lev A. Sakhnovich
    English | PDF (True) | 2012 | 246 Pages | ISBN : 3034803559 | 2 MB

    In a number of famous works, M. Kac showed that various methods of probability theory can be fruitfully applied to important problems of analysis. The interconnection between probability and analysis also plays a central role in the present book. However, our approach is mainly based on the application of analysis methods (the method of operator identities, integral equations theory, dual systems, integrable equations) to probability theory (Levy processes, M. Kac's problems, the principle of imperceptibility of the boundary, signal theory). The essential part of the book is dedicated to problems of statistical physics (classical and quantum cases). We consider the corresponding statistical problems (Gibbs-type formulas, non-extensive statistical mechanics, Boltzmann equation) from the game point of view (the game between energy and entropy). One chapter is dedicated to the construction of special examples instead of existence theorems (D. Larson's theorem, Ringrose's hypothesis, the Kadison-Singer and Gohberg-Krein questions). We also investigate the Bezoutiant operator. In this context, we do not make the assumption that the Bezoutiant operator is normally solvable, allowing us to investigate the special classes of the entire functions.