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Essays On The Complexity Of Continuous Problems
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Book Synopsis Essays on the Complexity of Continuous Problems by : Erich Novak
Download or read book Essays on the Complexity of Continuous Problems written by Erich Novak and published by European Mathematical Society. This book was released on 2009 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains five essays on the complexity of continuous problems, written for a wider audience. The first four essays are based on talks presented in 2008 when Henryk Wozniakowski received an honorary doctoral degree from the Friedrich Schiller University of Jena. The focus is on the introduction and history of the complexity of continuous problems, as well as on recent progress concerning the complexity of high-dimensional numerical problems. The last essay provides a brief and informal introduction to the basic notions and concepts of information-based complexity addressed to a general readership.
Book Synopsis Tractability of Multivariate Problems: Standard information for functionals by : Erich Novak
Download or read book Tractability of Multivariate Problems: Standard information for functionals written by Erich Novak and published by European Mathematical Society. This book was released on 2008 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of a three-volume set comprising a comprehensive study of the tractability of multivariate problems. The second volume deals with algorithms using standard information consisting of function values for the approximation of linear and selected nonlinear functionals. An important example is numerical multivariate integration. The proof techniques used in volumes I and II are quite different. It is especially hard to establish meaningful lower error bounds for the approximation of functionals by using finitely many function values. Here, the concept of decomposable reproducing kernels is helpful, allowing it to find matching lower and upper error bounds for some linear functionals. It is then possible to conclude tractability results from such error bounds. Tractability results, even for linear functionals, are very rich in variety. There are infinite-dimensional Hilbert spaces for which the approximation with an arbitrarily small error of all linear functionals requires only one function value. There are Hilbert spaces for which all nontrivial linear functionals suffer from the curse of dimensionality. This holds for unweighted spaces, where the role of all variables and groups of variables is the same. For weighted spaces one can monitor the role of all variables and groups of variables. Necessary and sufficient conditions on the decay of the weights are given to obtain various notions of tractability. The text contains extensive chapters on discrepancy and integration, decomposable kernels and lower bounds, the Smolyak/sparse grid algorithms, lattice rules and the CBC (component-by-component) algorithms. This is done in various settings. Path integration and quantum computation are also discussed. This volume is of interest to researchers working in computational mathematics, especially in approximation of high-dimensional problems. It is also well suited for graduate courses and seminars. There are 61 open problems listed to stimulate future research in tractability.
Book Synopsis The Human Face Of Computing by : Cristian S Calude
Download or read book The Human Face Of Computing written by Cristian S Calude and published by World Scientific. This book was released on 2015-08-04 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computation is ubiquitous: modern life would be inconceivable without it.Written as a series of conversations with influential computer scientists, mathematicians and physicists, this book provides access to the inner thinking of those who have made essential contributions to the development of computing and its applications. You will learn about the interviewees' education, career path, influences, methods of work, how they cope with failure and success, how they relax, how they see the future, and much more.The conversations are presented in jargon-free language suitable for a general audience, but with enough technical detail for more specialized readers. The aim of the book is not only to inform and entertain, but also to motivate and stimulate.
Book Synopsis Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan by : Josef Dick
Download or read book Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan written by Josef Dick and published by Springer. This book was released on 2018-05-23 with total page 1330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Professor Ian Hugh Sloan on the occasion of his 80th birthday. It consists of nearly 60 articles written by international leaders in a diverse range of areas in contemporary computational mathematics. These papers highlight the impact and many achievements of Professor Sloan in his distinguished academic career. The book also presents state of the art knowledge in many computational fields such as quasi-Monte Carlo and Monte Carlo methods for multivariate integration, multi-level methods, finite element methods, uncertainty quantification, spherical designs and integration on the sphere, approximation and interpolation of multivariate functions, oscillatory integrals, and in general in information-based complexity and tractability, as well as in a range of other topics. The book also tells the life story of the renowned mathematician, family man, colleague and friend, who has been an inspiration to many of us. The reader may especially enjoy the story from the perspective of his family, his wife, his daughter and son, as well as grandchildren, who share their views of Ian. The clear message of the book is that Ian H. Sloan has been a role model in science and life.
Book Synopsis The Best Writing on Mathematics 2010 by : Mircea Pitici
Download or read book The Best Writing on Mathematics 2010 written by Mircea Pitici and published by Princeton University Press. This book was released on 2021-09-14 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year’s most memorable writing on mathematics This anthology brings together the year's finest writing on mathematics from around the world. Featuring promising new voices alongside some of the foremost names in mathematics, The Best Writing on Mathematics makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here readers will discover why Freeman Dyson thinks some mathematicians are birds while others are frogs; why Keith Devlin believes there's more to mathematics than proof; what Nick Paumgarten has to say about the timing patterns of New York City's traffic lights (and why jaywalking is the most mathematically efficient way to cross Sixty-sixth Street); what Samuel Arbesman can tell us about the epidemiology of the undead in zombie flicks; and much, much more. In addition to presenting the year's most memorable writing on mathematics, this must-have anthology also includes a foreword by esteemed mathematician William Thurston and an informative introduction by Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it's headed.
Book Synopsis Numerical Analysis by : Walter Gautschi
Download or read book Numerical Analysis written by Walter Gautschi and published by Springer Science & Business Media. This book was released on 2011-12-06 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the edition also comes with a complete solutions manual, carefully developed and polished by the author, which will serve as an exceptionally valuable resource for instructors.
Download or read book Lattice Rules written by Josef Dick and published by Springer Nature. This book was released on 2022-08-24 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. This comprises, for example, error analysis in reproducing kernel Hilbert spaces, fast component-by-component constructions, the curse of dimensionality and tractability, weighted integration and approximation problems, and applications of lattice rules.
Book Synopsis Collection Of Essays On Complexity And Management, A - Proceedings Of The Summer School On Managerial Complexity by : Walter Baets
Download or read book Collection Of Essays On Complexity And Management, A - Proceedings Of The Summer School On Managerial Complexity written by Walter Baets and published by World Scientific. This book was released on 1999-04-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A tendency exists in management theory and practice today to accept that our linear and deterministic ways of thinking about managerial problems create more problems than they solve. In the field of strategy studies, for instance, one can observe a growing interest in learning and organisational flexibility — IT gives importance to distributed cognition and adaptive systems. Management theorists are keenly observing developments surrounding complexity and chaos theory in science, and management researchers are attempting to apply emerging theories to managerial problems.Although there are still a limited number of applications in the managerial world, the Santa Fe Institute and the Los Alamos Center for Nonlinear Studies (both in the US) have been active for several years in closely related fields and, more important, adopt a multidisciplinary approach. Such applied research is seldom present in academic management journals. It seems, however, that the business community is interested in the implications of chaos and complexity for management as well as adopting a multidisciplinary approach to strategy and organisational change.This volume, constituting the proceedings of the Summer School on Managerial Complexity, held in Granada, Spain, on 11-25 July 1998, will benefit students and researchers in chaos and dynamical systems.
Book Synopsis Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization by : Houman Owhadi
Download or read book Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization written by Houman Owhadi and published by Cambridge University Press. This book was released on 2019-10-24 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents interplays between numerical approximation and statistical inference as a pathway to simple solutions to fundamental problems.
Book Synopsis Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration by : Hans Triebel
Download or read book Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration written by Hans Triebel and published by European Mathematical Society. This book was released on 2010 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first chapters of this book deal with Haar bases, Faber bases and some spline bases for function spaces in Euclidean $n$-space and $n$-cubes. These are used in the subsequent chapters to study sampling and numerical integration preferably in spaces with dominating mixed smoothness. The subject of the last chapter is the symbiotic relationship between numerical integration and discrepancy, measuring the deviation of sets of points from uniformity. This book is addressed to graduate students and mathematicians who have a working knowledge of basic elements of function spaces and approximation theory and who are interested in the subtle interplay between function spaces, complexity theory and number theory (discrepancy).
Book Synopsis Essays in the Economics of Uncertainty by : Jean-Jacques Laffont
Download or read book Essays in the Economics of Uncertainty written by Jean-Jacques Laffont and published by Harvard University Press. This book was released on 1980 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: These three elegant essays develop principles central to the understanding of the diverse ways in which imperfect information affects the distribution of resources, incentives, and the evaluation of economic policy. The first concerns the special role that information plays in the allocation process when it is possible to improve accuracy through private investment. The common practice of hiring "experts" whose information is presumably much better than their clients' is analyzed. Issues of cooperative behavior when potential group members possess diverse pieces of information are addressed. Emphasis is placed on the adaptation of the "core" concept from game theory to the resource allocation model with differential information. The second essay deals with the extent to which agents can influence the random events they face. This is known as moral hazard, and in its presence there is a potential inefficiency in the economic system. Two special models are studied: the role of moral hazard in a monetary economy, and the role of an outside adjudicatory agency that has the power to enforce fines and compensation. The final essay discusses the problem of certainty equivalence in economic policy. Conditions under which a full stochastic optimization can be calculated by solving a related, much simpler "certainty equivalence" problem are developed. The reduction in the complexity of calculation involved is very great compared with the potential loss of efficiency.
Book Synopsis Growing Wings on the Way by : Rosalind Armson
Download or read book Growing Wings on the Way written by Rosalind Armson and published by Triarchy Press. This book was released on 2011-05-31 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about dealing with messes. Sometimes known as 'wicked problems', messes (or messy situations) are fairly easy to spot:it's hard to know where to startwe can't define them everything seems to connect to everything else and depends on something else having been done first we get in a muddle thinking about them we often try to ignore some aspect/s of themwhen we finally do something about them, they usually get worse they're so entangled that our first mistake is usually to try and fix them as we would fix a simple problem.
Book Synopsis The Collapse of Complex Societies by : Joseph Tainter
Download or read book The Collapse of Complex Societies written by Joseph Tainter and published by Cambridge University Press. This book was released on 1988 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dr Tainter describes nearly two dozen cases of collapse and reviews more than 2000 years of explanations. He then develops a new and far-reaching theory.
Book Synopsis Complexity and Postmodernism by : Paul Cilliers
Download or read book Complexity and Postmodernism written by Paul Cilliers and published by Routledge. This book was released on 2002-09-11 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Complexity and Postmodernism, Paul Cilliers explores the idea of complexity in the light of contemporary perspectives from philosophy and science. Cilliers offers us a unique approach to understanding complexity and computational theory by integrating postmodern theory (like that of Derrida and Lyotard) into his discussion. Complexity and Postmodernism is an exciting and an original book that should be read by anyone interested in gaining a fresh understanding of complexity, postmodernism and connectionism.
Book Synopsis Fundamentals of Measurement and Representation of Natural Systems by : Robert Rosen
Download or read book Fundamentals of Measurement and Representation of Natural Systems written by Robert Rosen and published by North Holland. This book was released on 1978 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical background; The basic formalism; Meters and dynamics; Dynamics and linkage; The analysis of dynamics; Symmetry; Similarity in physics and biology.
Book Synopsis The Journal of Agricultural Economics Research by :
Download or read book The Journal of Agricultural Economics Research written by and published by . This book was released on 1987 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis People, Problems, and Proofs by : Richard J. Lipton
Download or read book People, Problems, and Proofs written by Richard J. Lipton and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: People, problems, and proofs are the lifeblood of theoretical computer science. Behind the computing devices and applications that have transformed our lives are clever algorithms, and for every worthwhile algorithm there is a problem that it solves and a proof that it works. Before this proof there was an open problem: can one create an efficient algorithm to solve the computational problem? And, finally, behind these questions are the people who are excited about these fundamental issues in our computational world. In this book the authors draw on their outstanding research and teaching experience to showcase some key people and ideas in the domain of theoretical computer science, particularly in computational complexity and algorithms, and related mathematical topics. They show evidence of the considerable scholarship that supports this young field, and they balance an impressive breadth of topics with the depth necessary to reveal the power and the relevance of the work described. Beyond this, the authors discuss the sustained effort of their community, revealing much about the culture of their field. A career in theoretical computer science at the top level is a vocation: the work is hard, and in addition to the obvious requirements such as intellect and training, the vignettes in this book demonstrate the importance of human factors such as personality, instinct, creativity, ambition, tenacity, and luck. The authors' style is characterize d by personal observations, enthusiasm, and humor, and this book will be a source of inspiration and guidance for graduate students and researchers engaged with or planning careers in theoretical computer science.
