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Author : Steve Halperin
Publisher :
ISBN 13 :
Total Pages : 199 pages
Book Rating : 4.:/5 (493 download)
Download or read book Rational Homotopy Theory (Draft, Version 96.2) written by Steve Halperin and published by . This book was released on 1996 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yves Félix
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789814651424
Total Pages : 412 pages
Book Rating : 4.6/5 (514 download)
Download or read book Rational Homotopy Theory II written by Yves Félix and published by World Scientific Publishing Company Incorporated. This book was released on 2015 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sequel to Rational homotopy theory (2001), but self contained--Introduction, following table of contents.
Author : Hans J. Baues
Publisher : Cambridge University Press
ISBN 13 : 0521333768
Total Pages : 490 pages
Book Rating : 4.5/5 (213 download)
Download or read book Algebraic Homotopy written by Hans J. Baues and published by Cambridge University Press. This book was released on 1989-02-16 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given, including when the fundamental group is non-trivial. Moreover, the deep connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra.
Author : Patrick Schultz
Publisher : Springer
ISBN 13 : 3030007049
Total Pages : 235 pages
Book Rating : 4.0/5 (3 download)
Download or read book Temporal Type Theory written by Patrick Schultz and published by Springer. This book was released on 2019-01-29 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems. Developed by the authors, the goal of this novel approach is to explain what occurs when multiple, distinct system components interact by using a category-theoretic description of behavior types based on sheaves. The authors demonstrate how to analyze the behaviors of elements in continuous and discrete dynamical systems so that each can be translated and compared to one another. Their temporal logic is also flexible enough that it can serve as a framework for other logics that work with similar models. The book begins with a discussion of behavior types, interval domains, and translation invariance, which serves as the groundwork for temporal type theory. From there, the authors lay out the logical preliminaries they need for their temporal modalities and explain the soundness of those logical semantics. These results are then applied to hybrid dynamical systems, differential equations, and labeled transition systems. A case study involving aircraft separation within the National Airspace System is provided to illustrate temporal type theory in action. Researchers in computer science, logic, and mathematics interested in topos-theoretic and category-theory-friendly approaches to system behavior will find this monograph to be an important resource. It can also serve as a supplemental text for a specialized graduate topics course.
Author : Graham Everest
Publisher : American Mathematical Soc.
ISBN 13 : 1470423154
Total Pages : 318 pages
Book Rating : 4.4/5 (74 download)
Download or read book Recurrence Sequences written by Graham Everest and published by American Mathematical Soc.. This book was released on 2015-09-03 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.
Author : Marcos M. Alexandrino
Publisher : Springer
ISBN 13 : 3319166131
Total Pages : 213 pages
Book Rating : 4.3/5 (191 download)
Download or read book Lie Groups and Geometric Aspects of Isometric Actions written by Marcos M. Alexandrino and published by Springer. This book was released on 2015-05-22 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its recent applications to active research areas are explored, keeping a constant connection with the basic material. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries. This book stems from the experience gathered by the authors in several lectures along the years and was designed to be as self-contained as possible. It is intended for advanced undergraduates, graduate students and young researchers in geometry and can be used for a one-semester course or independent study.
Author :
Publisher :
ISBN 13 :
Total Pages : 1558 pages
Book Rating : 4.3/5 (91 download)
Download or read book International Books in Print written by and published by . This book was released on 1990 with total page 1558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : New York Public Library
Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.:/5 (42 download)
Download or read book New Technical Books written by New York Public Library and published by . This book was released on 1985 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fedor Bogomolov
Publisher : Springer Science & Business Media
ISBN 13 : 0817649344
Total Pages : 314 pages
Book Rating : 4.8/5 (176 download)
Download or read book Cohomological and Geometric Approaches to Rationality Problems written by Fedor Bogomolov and published by Springer Science & Business Media. This book was released on 2009-11-03 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. Such advances has led to many interdisciplinary applications to algebraic geometry. This comprehensive book consists of surveys of research papers by leading specialists in the field and gives indications for future research in rationality problems. Topics discussed include the rationality of quotient spaces, cohomological invariants of quasi-simple Lie type groups, rationality of the moduli space of curves, and rational points on algebraic varieties. This volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems. Contributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov
Author : Ian F. Blake
Publisher : Cambridge University Press
ISBN 13 : 9781139441223
Total Pages : 308 pages
Book Rating : 4.4/5 (412 download)
Download or read book Advances in Elliptic Curve Cryptography written by Ian F. Blake and published by Cambridge University Press. This book was released on 2005-04-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research literature in these areas have provided articles that reflect the current state of these important topics. They are divided into the areas of protocols, implementation techniques, mathematical foundations and pairing based cryptography. Each of the topics is presented in an accessible, coherent and consistent manner for a wide audience that will include mathematicians, computer scientists and engineers.
Author : Jean-Dominique Deuschel
Publisher : American Mathematical Soc.
ISBN 13 : 082182757X
Total Pages : 298 pages
Book Rating : 4.8/5 (218 download)
Download or read book Large Deviations written by Jean-Dominique Deuschel and published by American Mathematical Soc.. This book was released on 2001 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second printing of the book first published in 1988. The first four chapters of the volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).
Author : Béla Bollobás
Publisher : Cambridge University Press
ISBN 13 : 1139936662
Total Pages : 392 pages
Book Rating : 4.1/5 (399 download)
Download or read book The Art of Mathematics written by Béla Bollobás and published by Cambridge University Press. This book was released on 2006-09-14 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician's art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stock-in-trade of mathematicians for centuries. This collection is designed to be sipped from, rather than consumed in one sitting. The questions range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest prompt readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner or an amateur mathematician, this book will delight for a lifetime.
Author : Seta B. Dadoyan
Publisher : Transaction Publishers
ISBN 13 : 1412846528
Total Pages : 236 pages
Book Rating : 4.4/5 (128 download)
Download or read book The Armenians in the Medieval Islamic World written by Seta B. Dadoyan and published by Transaction Publishers. This book was released on 2011-11-30 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this first of a massive three-volume work, Seta B. Dadoyan studies the Armenian experience in the medieval Islamic world and takes the reader through hitherto undiscovered paradigmatic cases of interaction with other populations in the region. Being an Armenian, Dadoyan argues, means having an ethnic ancestry laden with narratives drawn from the vast historic Armenian habitat. Contradictory trends went into the making of Armenian history, yet most narratives fail to reflect this rich texture. Linking Armenian-Islamic history is one way of dealing with the problem. Dadoyan’s concern is also to outline revolutionary elements in the making of Armenian ideologies and politics. This extensive work captures the multidimensional nature of the Armenian experience in the medieval Islamic world. The author holds that every piece of literature, including historical writing, is an artifact. It is a composition of many elements arranged in certain forms: order, sequence, proportion, detail, intensity, etc. The author has composed and arranged the larger subjects and their sub-themes in such a way as to create an open, dynamic continuity to Armenian history that is intellectually intriguing, aesthetically appealing, and close to lived experiences.
Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309042283
Total Pages : 148 pages
Book Rating : 4.3/5 (9 download)
Download or read book Renewing U.S. Mathematics written by National Research Council and published by National Academies Press. This book was released on 1990-02-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: As requested by the National Science Foundation (NSF) and the Interagency Committee for Extramural Mathematics Programs (ICEMAP), this report updates the 1984 Report known as the "David Report." Specifically, the charge directed the committee to (1) update that report, describing the infrastructure and support for U.S. mathematical sciences research; (2) assess trends and progress over the intervening five years against the recommendations of the 1984 Report; (3) briefly assess the field scientifically and identify significant opportunities for research, including cross-disciplinary collaboration; and (4) make appropriate recommendations designed to ensure that U.S. mathematical sciences research will meet national needs in coming years. Of the several components of the mathematical sciences community requiring action, its wellspring--university research departments--is the primary focus of this report. The progress and promise of research--described in the 1984 Report relative to theoretical development, new applications, and the refining and deepening of old applications--have if anything increased since 1984, making mathematics research ever more valuable to other sciences and technology. Although some progress has been made since 1984 in the support for mathematical sciences research, the goals set in the 1984 Report have not been achieved. Practically all of the increase in funding has gone into building the infractructure, which had deteriorated badly by 1984. While graduate and postdoctoral research, computer facilities, and new institutes have benefited from increased resources, some of these areas are still undersupported by the standards of other sciences. And in the area of research support for individual investigators, almost no progress has been made. A critical storage of qualified mathematical sciences researchers still looms, held at bay for the moment by a large influx of foreign researchers, an uncertain solution in the longer term. While government has responded substantially to the 1984 Report's recommendations, particularly in the support of infrastructure, the universities generally have not, so that the academic foundations of the mathematical sciences research enterprise are as shaky now as in 1984. The greatet progress has been made in the mathematics sciences community, whose members have shown a growing awareness of the problems confronting their discipline and increased interest in dealing with the problems, particularly in regard to communication with the public and government agencies and involvement in education. (AA)
Author : R.B. Sher
Publisher : Elsevier
ISBN 13 : 0080532853
Total Pages : 1145 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Geometric Topology written by R.B. Sher and published by Elsevier. This book was released on 2001-12-20 with total page 1145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.
Author : Kevin P. Murphy
Publisher : MIT Press
ISBN 13 : 0262369303
Total Pages : 858 pages
Book Rating : 4.2/5 (623 download)
Download or read book Probabilistic Machine Learning written by Kevin P. Murphy and published by MIT Press. This book was released on 2022-03-01 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed and up-to-date introduction to machine learning, presented through the unifying lens of probabilistic modeling and Bayesian decision theory. This book offers a detailed and up-to-date introduction to machine learning (including deep learning) through the unifying lens of probabilistic modeling and Bayesian decision theory. The book covers mathematical background (including linear algebra and optimization), basic supervised learning (including linear and logistic regression and deep neural networks), as well as more advanced topics (including transfer learning and unsupervised learning). End-of-chapter exercises allow students to apply what they have learned, and an appendix covers notation. Probabilistic Machine Learning grew out of the author’s 2012 book, Machine Learning: A Probabilistic Perspective. More than just a simple update, this is a completely new book that reflects the dramatic developments in the field since 2012, most notably deep learning. In addition, the new book is accompanied by online Python code, using libraries such as scikit-learn, JAX, PyTorch, and Tensorflow, which can be used to reproduce nearly all the figures; this code can be run inside a web browser using cloud-based notebooks, and provides a practical complement to the theoretical topics discussed in the book. This introductory text will be followed by a sequel that covers more advanced topics, taking the same probabilistic approach.
Author : Barry Cipra
Publisher : American Mathematical Soc.
ISBN 13 : 9780821890431
Total Pages : 108 pages
Book Rating : 4.8/5 (94 download)
Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
