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Ten Lectures On The Probabilistic Method
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Book Synopsis Ten Lectures on the Probabilistic Method by : Joel Spencer
Download or read book Ten Lectures on the Probabilistic Method written by Joel Spencer and published by SIAM. This book was released on 1994-01-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This update of the 1987 title of the same name is an examination of what is currently known about the probabilistic method, written by one of its principal developers. Based on the notes from Spencer's 1986 series of ten lectures, this new edition contains an additional lecture: The Janson inequalities. These inequalities allow accurate approximation of extremely small probabilities. A new algorithmic approach to the Lovasz Local Lemma, attributed to Jozsef Beck, has been added to Lecture 8, as well. Throughout the monograph, Spencer retains the informal style of his original lecture notes and emphasizes the methodology, shunning the more technical "best possible" results in favor of clearer exposition. The book is not encyclopedic--it contains only those examples that clearly display the methodology. The probabilistic method is a powerful tool in graph theory, combinatorics, and theoretical computer science. It allows one to prove the existence of objects with certain properties (e.g., colorings) by showing that an appropriately defined random object has positive probability of having those properties.
Book Synopsis Ten Lectures on the Probabilistic Method by : Joel H. Spencer
Download or read book Ten Lectures on the Probabilistic Method written by Joel H. Spencer and published by . This book was released on 1987 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ten Lectures on Wavelets by : Ingrid Daubechies
Download or read book Ten Lectures on Wavelets written by Ingrid Daubechies and published by SIAM. This book was released on 1992-01-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data--such as fingerprints, weather satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details. This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient.
Book Synopsis The Probabilistic Method by : Noga Alon
Download or read book The Probabilistic Method written by Noga Alon and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition: "Serious researchers in combinatorics or algorithm design will wish to read the book in its entirety...the book may also be enjoyed on a lighter level since the different chapters are largely independent and so it is possible to pick out gems in one's own area..." —Formal Aspects of Computing This Third Edition of The Probabilistic Method reflects the most recent developments in the field while maintaining the standard of excellence that established this book as the leading reference on probabilistic methods in combinatorics. Maintaining its clear writing style, illustrative examples, and practical exercises, this new edition emphasizes methodology, enabling readers to use probabilistic techniques for solving problems in such fields as theoretical computer science, mathematics, and statistical physics. The book begins with a description of tools applied in probabilistic arguments, including basic techniques that use expectation and variance as well as the more recent applications of martingales and correlation inequalities. Next, the authors examine where probabilistic techniques have been applied successfully, exploring such topics as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Sections labeled "The Probabilistic Lens" offer additional insights into the application of the probabilistic approach, and the appendix has been updated to include methodologies for finding lower bounds for Large Deviations. The Third Edition also features: A new chapter on graph property testing, which is a current topic that incorporates combinatorial, probabilistic, and algorithmic techniques An elementary approach using probabilistic techniques to the powerful Szemerédi Regularity Lemma and its applications New sections devoted to percolation and liar games A new chapter that provides a modern treatment of the Erdös-Rényi phase transition in the Random Graph Process Written by two leading authorities in the field, The Probabilistic Method, Third Edition is an ideal reference for researchers in combinatorics and algorithm design who would like to better understand the use of probabilistic methods. The book's numerous exercises and examples also make it an excellent textbook for graduate-level courses in mathematics and computer science.
Book Synopsis Lectures on the Logic of Computer Programming by : Zohar Manna
Download or read book Lectures on the Logic of Computer Programming written by Zohar Manna and published by SIAM. This book was released on 1980-01-01 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with aspects of the computer programming process that involve techniques derived from mathematical logic. The author focuses on proving that a given program produces the intended result whenever it halts, that a given program will eventually halt, that a given program is partially correct and terminates, and that a system of rewriting rules always halts. Also, the author describes the intermediate behavior of a given program, and discusses constructing a program to meet a given specification.
Book Synopsis Ten Lectures on the Probabilistic Method by : Joel Spencer
Download or read book Ten Lectures on the Probabilistic Method written by Joel Spencer and published by SIAM. This book was released on 1994-01-01 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: This update of the 1987 title of the same name is an examination of what is currently known about the probabilistic method, written by one of its principal developers. Based on the notes from Spencer's 1986 series of ten lectures, this new edition contains an additional lecture: The Janson Inequalities. These inequalities allow accurate approximation of extremely small probabilities. A new algorithmic approach to the Lovasz Local Lemma, attributed to Jozsef Beck, has been added to Lecture 8, as well.
Book Synopsis The Linear Sampling Method in Inverse Electromagnetic Scattering by : Fioralba Cakoni
Download or read book The Linear Sampling Method in Inverse Electromagnetic Scattering written by Fioralba Cakoni and published by SIAM. This book was released on 2011-01-13 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete description of the linear sampling method for electromagnetic waves, important for those researching inverse electromagnetic scattering theory.
Book Synopsis Geometric Probability by : Herbert Solomon
Download or read book Geometric Probability written by Herbert Solomon and published by SIAM. This book was released on 1978-01-01 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; the number of random line intersections in a plane and their angles of intersection; developments due to W.L. Stevens's ingenious solution for evaluating the probability that n random arcs of size a cover a unit circumference completely; the development of M.W. Crofton's mean value theorem and its applications in classical problems; and an interesting problem in geometrical probability presented by a karyograph.
Book Synopsis Methods for Solving Systems of Nonlinear Equations by : Werner C. Rheinboldt
Download or read book Methods for Solving Systems of Nonlinear Equations written by Werner C. Rheinboldt and published by SIAM. This book was released on 1998-01-01 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses the ideas behind non linear equations as well as their theoretical foundations and properties.
Book Synopsis Random Number Generation and Quasi-Monte Carlo Methods by : Harald Niederreiter
Download or read book Random Number Generation and Quasi-Monte Carlo Methods written by Harald Niederreiter and published by SIAM. This book was released on 1992-01-01 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains recent work in uniform pseudorandom number generation and quasi-Monte Carlo methods, and stresses the interplay between them.
Book Synopsis Variational Methods for Eigenvalue Approximation by : H. F. Weinberger
Download or read book Variational Methods for Eigenvalue Approximation written by H. F. Weinberger and published by SIAM. This book was released on 1974-01-01 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators.
Book Synopsis Probability Theory and Combinatorial Optimization by : J. Michael Steele
Download or read book Probability Theory and Combinatorial Optimization written by J. Michael Steele and published by SIAM. This book was released on 1997-01-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the state of the art of the probability theory most applicable to combinatorial optimization. The questions that receive the most attention are those that deal with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings.
Book Synopsis Numerical Analysis of Spectral Methods by : David Gottlieb
Download or read book Numerical Analysis of Spectral Methods written by David Gottlieb and published by SIAM. This book was released on 1977-01-01 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.
Book Synopsis Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem by : Roland Glowinski
Download or read book Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem written by Roland Glowinski and published by SIAM. This book was released on 2015-11-04 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.
Book Synopsis Techniques of Differential Topology in Relativity by : Roger Penrose
Download or read book Techniques of Differential Topology in Relativity written by Roger Penrose and published by SIAM. This book was released on 1972-06-01 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.
Book Synopsis A Unified Approach to Boundary Value Problems by : Athanassios S. Fokas
Download or read book A Unified Approach to Boundary Value Problems written by Athanassios S. Fokas and published by SIAM. This book was released on 2008-01-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a new approach to analysing initial-boundary value problems for integrable partial differential equations.
Book Synopsis Mathematical Control of Coupled PDEs by : Irena Lasiecka
Download or read book Mathematical Control of Coupled PDEs written by Irena Lasiecka and published by SIAM. This book was released on 2002-01-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concentrates on systems of hyperbolic and parabolic coupled PDEs that are nonlinear, solve three key problems.
