Book Description
This accessible introduction for Ph.D. students and non-specialists provides Quillen's unique development of cyclic theory.
Author : Daniel G. Quillen
Publisher : Cambridge University Press
Page : 331 pages
File Size : 38,41 MB
Release : 2020-07-09
Category : Mathematics
ISBN : 1108479618
This accessible introduction for Ph.D. students and non-specialists provides Quillen's unique development of cyclic theory.
Author : Roger Penrose
Publisher : Vintage
Page : 307 pages
File Size : 46,83 MB
Release : 2011-09-06
Category : Science
ISBN : 0307596745
From Nobel prize-winner Roger Penrose, this groundbreaking book is for anyone "who is interested in the world, how it works, and how it got here" (New York Journal of Books). Penrose presents a new perspective on three of cosmology’s essential questions: What came before the Big Bang? What is the source of order in our universe? And what cosmic future awaits us? He shows how the expected fate of our ever-accelerating and expanding universe—heat death or ultimate entropy—can actually be reinterpreted as the conditions that will begin a new “Big Bang.” He details the basic principles beneath our universe, explaining various standard and non-standard cosmological models, the fundamental role of the cosmic microwave background, the paramount significance of black holes, and other basic building blocks of contemporary physics. Intellectually thrilling and widely accessible, Cycles of Time is a welcome new contribution to our understanding of the universe from one of our greatest mathematicians and thinkers.
Author : Isaac Woungang
Publisher : World Scientific
Page : 725 pages
File Size : 34,97 MB
Release : 2010
Category : Computers
ISBN : 9812837167
The last few years have witnessed rapid advancements in information and coding theory research and applications. This book provides a comprehensive guide to selected topics, both ongoing and emerging, in information and coding theory. Consisting of contributions from well-known and high-profile researchers in their respective specialties, topics that are covered include source coding; channel capacity; linear complexity; code construction, existence and analysis; bounds on codes and designs; space-time coding; LDPC codes; and codes and cryptography.All of the chapters are integrated in a manner that renders the book as a supplementary reference volume or textbook for use in both undergraduate and graduate courses on information and coding theory. As such, it will be a valuable text for students at both undergraduate and graduate levels as well as instructors, researchers, engineers, and practitioners in these fields.Supporting Powerpoint Slides are available upon request for all instructors who adopt this book as a course text.
Author : Jean-Louis Loday
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 16,45 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 3662217392
This book is a comprehensive study of cyclic homology theory together with its relationship with Hochschild homology, de Rham cohomology, S1 equivariant homology, the Chern character, Lie algebra homology, algebraic K-theory and non-commutative differential geometry. Though conceived as a basic reference on the subject, many parts of this book are accessible to graduate students.
Author : Elly van Gelderen
Publisher : John Benjamins Publishing Company
Page : 439 pages
File Size : 34,40 MB
Release : 2016-03-09
Category : Language Arts & Disciplines
ISBN : 902726743X
This book presents new data and additional questions regarding the linguistic cycle. The topics discussed are the pronoun, negative, negative existential, analytic-synthetic, distributive, determiner, degree, and future/modal cycles. The papers raise questions about the length of time that cycles take, the interactions between different cycles, the typical stages and their stability, and the areal factors influencing cycles. The languages and language families that are considered in depth are Central Pomo, Cherokee, Chinese, English, French, Gbe, German, Hmong-Mien, Maipurean, Mayan, Mohawk, Mon-Khmer, Niger-Congo, Nupod, Quechuan, Sino-Tibetan, Tai-Kadai , Tuscarora, Ute, and Yoruboid. One paper covers several of the world’s language families. Cyclical change connects linguists working in various frameworks because it is exciting to find a reason behind this fascinating phenomenon.
Author : Paul J. Steinhardt
Publisher : Crown
Page : 306 pages
File Size : 38,28 MB
Release : 2007-05-29
Category : Science
ISBN : 0385523114
Two world-renowned scientists present an audacious new vision of the cosmos that “steals the thunder from the Big Bang theory.” —Wall Street Journal The Big Bang theory—widely regarded as the leading explanation for the origin of the universe—posits that space and time sprang into being about 14 billion years ago in a hot, expanding fireball of nearly infinite density. Over the last three decades the theory has been repeatedly revised to address such issues as how galaxies and stars first formed and why the expansion of the universe is speeding up today. Furthermore, an explanation has yet to be found for what caused the Big Bang in the first place. In Endless Universe, Paul J. Steinhardt and Neil Turok, both distinguished theoretical physicists, present a bold new cosmology. Steinhardt and Turok “contend that what we think of as the moment of creation was simply part of an infinite cycle of titanic collisions between our universe and a parallel world” (Discover). They recount the remarkable developments in astronomy, particle physics, and superstring theory that form the basis for their groundbreaking “Cyclic Universe” theory. According to this theory, the Big Bang was not the beginning of time but the bridge to a past filled with endlessly repeating cycles of evolution, each accompanied by the creation of new matter and the formation of new galaxies, stars, and planets. Endless Universe provides answers to longstanding problems with the Big Bang model, while offering a provocative new view of both the past and the future of the cosmos. It is a “theory that could solve the cosmic mystery” (USA Today).
Author : Raf Bocklandt
Publisher : Cambridge University Press
Page : 403 pages
File Size : 16,44 MB
Release : 2021-08-19
Category : Mathematics
ISBN : 110848350X
Introduction to homological mirror symmetry from the point of view of representation theory, suitable for graduate students.
Author : Antonio Giorgilli
Publisher : Cambridge University Press
Page : 474 pages
File Size : 21,75 MB
Release : 2022-05-05
Category : Science
ISBN : 100917486X
Starting with the basics of Hamiltonian dynamics and canonical transformations, this text follows the historical development of the theory culminating in recent results: the Kolmogorov–Arnold–Moser theorem, Nekhoroshev's theorem and superexponential stability. Its analytic approach allows students to learn about perturbation methods leading to advanced results. Key topics covered include Liouville's theorem, the proof of Poincaré's non-integrability theorem and the nonlinear dynamics in the neighbourhood of equilibria. The theorem of Kolmogorov on persistence of invariant tori and the theory of exponential stability of Nekhoroshev are proved via constructive algorithms based on the Lie series method. A final chapter is devoted to the discovery of chaos by Poincaré and its relations with integrability, also including recent results on superexponential stability. Written in an accessible, self-contained way with few prerequisites, this book can serve as an introductory text for senior undergraduate and graduate students.
Author : Amaury Freslon
Publisher : Cambridge University Press
Page : 301 pages
File Size : 14,35 MB
Release : 2023-07-31
Category : Mathematics
ISBN : 1009345737
Author : Mirna Džamonja
Publisher : Cambridge University Press
Page : 163 pages
File Size : 10,43 MB
Release : 2020-10-15
Category : Mathematics
ISBN : 1108351964
This quick yet detailed introduction to set theory and forcing builds the reader's intuition about it as much as the mathematical detail. Intuition, rather absent from the existing literature on the subject, here plays a large role. The reader will not only learn the facts, but will understand why they are true and will be brought to ask: what else could be true? Having presented forcing in Part I, the second part of the book discusses contemporary issues in the theory of forcing. It includes known and some previously unpublished results as well as many open questions. This is ideal for those who want to start a research career in forcing but do not have a personal interlocutor. Obviously, not everything about forcing is in this book. Many references are included to help the reader further explore the vast amount of research literature available on the subject.