Topics in Cyclic Theory

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Publisher : Cambridge University Press
ISBN 13 : 1108479618
Total Pages : 331 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Topics in Cyclic Theory by : Daniel G. Quillen

Download or read book Topics in Cyclic Theory written by Daniel G. Quillen and published by Cambridge University Press. This book was released on 2020-07-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible introduction for Ph.D. students and non-specialists provides Quillen's unique development of cyclic theory.

Cycles of Time

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Author :
Publisher : Vintage
ISBN 13 : 0307596745
Total Pages : 307 pages
Book Rating : 4.3/5 (75 download)

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Book Synopsis Cycles of Time by : Roger Penrose

Download or read book Cycles of Time written by Roger Penrose and published by Vintage. This book was released on 2011-09-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Noncommutative Geometry, Arithmetic, and Related Topics

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Publisher : JHU Press
ISBN 13 : 1421403528
Total Pages : 324 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Noncommutative Geometry, Arithmetic, and Related Topics by : Caterina Consani

Download or read book Noncommutative Geometry, Arithmetic, and Related Topics written by Caterina Consani and published by JHU Press. This book was released on 2011 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Institute, these essays collectively provide mathematicians and physicists with a comprehensive resource on the topic.

Alfred North Whitehead on Learning and Education

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Publisher : Cambridge Scholars Press
ISBN 13 : 1904303579
Total Pages : 444 pages
Book Rating : 4.9/5 (43 download)

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Book Synopsis Alfred North Whitehead on Learning and Education by : Franz G. Riffert

Download or read book Alfred North Whitehead on Learning and Education written by Franz G. Riffert and published by Cambridge Scholars Press. This book was released on 2005 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In this book a selection of 15 papers explores Whitehead's educational ideas which are based on his radical process approach. Following the Introduction which presents Whitehead's criticism of traditional education and the false psychology which it is based on, the book is divided into two major parts. The first part deals with Whitehead's philosophically inspired alternative theoretical framework for learning and education. Special focus is layed on the concept of the learning process which according to Whitehead is essentially cyclic in nature. In the second part it is shown how Whitehead's ideas can profitably be applied to different sub-domains within education: management education, college education and evaluation."--http://www.cambridgescholarspress.com.

Topics in Geometry, Coding Theory and Cryptography

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Publisher : Springer Science & Business Media
ISBN 13 : 1402053347
Total Pages : 212 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Topics in Geometry, Coding Theory and Cryptography by : Arnaldo Garcia

Download or read book Topics in Geometry, Coding Theory and Cryptography written by Arnaldo Garcia and published by Springer Science & Business Media. This book was released on 2006-11-15 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory. This book presents survey articles on some of these new developments. The topics focus on material which has not yet been presented in other books or survey articles.

A Gentle Introduction to Homological Mirror Symmetry

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Publisher : Cambridge University Press
ISBN 13 : 110848350X
Total Pages : 403 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis A Gentle Introduction to Homological Mirror Symmetry by : Raf Bocklandt

Download or read book A Gentle Introduction to Homological Mirror Symmetry written by Raf Bocklandt and published by Cambridge University Press. This book was released on 2021-08-19 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to homological mirror symmetry from the point of view of representation theory, suitable for graduate students.

Fast Track to Forcing

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Publisher : Cambridge University Press
ISBN 13 : 1108351964
Total Pages : 163 pages
Book Rating : 4.1/5 (83 download)

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Book Synopsis Fast Track to Forcing by : Mirna Džamonja

Download or read book Fast Track to Forcing written by Mirna Džamonja and published by Cambridge University Press. This book was released on 2020-10-15 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Calculus of Braids

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Publisher : Cambridge University Press
ISBN 13 : 1108922880
Total Pages : 260 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis The Calculus of Braids by : Patrick Dehornoy

Download or read book The Calculus of Braids written by Patrick Dehornoy and published by Cambridge University Press. This book was released on 2021-09-09 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everyone knows what braids are, whether they be made of hair, knitting wool, or electrical cables. However, it is not so evident that we can construct a theory about them, i.e. to elaborate a coherent and mathematically interesting corpus of results concerning them. This book demonstrates that there is a resoundingly positive response to this question: braids are fascinating objects, with a variety of rich mathematical properties and potential applications. A special emphasis is placed on the algorithmic aspects and on what can be called the 'calculus of braids', in particular the problem of isotopy. Prerequisites are kept to a minimum, with most results being established from scratch. An appendix at the end of each chapter gives a detailed introduction to the more advanced notions required, including monoids and group presentations. Also included is a range of carefully selected exercises to help the reader test their knowledge, with solutions available.

Notes on Hamiltonian Dynamical Systems Notes on Hamiltonian Dynamical Systems

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Publisher : Cambridge University Press
ISBN 13 : 100917486X
Total Pages : 474 pages
Book Rating : 4.0/5 (91 download)

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Book Synopsis Notes on Hamiltonian Dynamical Systems Notes on Hamiltonian Dynamical Systems by : Antonio Giorgilli

Download or read book Notes on Hamiltonian Dynamical Systems Notes on Hamiltonian Dynamical Systems written by Antonio Giorgilli and published by Cambridge University Press. This book was released on 2022-05-05 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lectures on Lagrangian Torus Fibrations

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Publisher : Cambridge University Press
ISBN 13 : 1009372629
Total Pages : 241 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis Lectures on Lagrangian Torus Fibrations by : Jonny Evans

Download or read book Lectures on Lagrangian Torus Fibrations written by Jonny Evans and published by Cambridge University Press. This book was released on 2023-07-31 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and visual introduction to the geometry of 4-dimensional symplectic manifolds via 2-dimensional almost-toric diagrams.

Inverse Problems and Data Assimilation

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Publisher : Cambridge University Press
ISBN 13 : 1009414321
Total Pages : 227 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis Inverse Problems and Data Assimilation by : Daniel Sanz-Alonso

Download or read book Inverse Problems and Data Assimilation written by Daniel Sanz-Alonso and published by Cambridge University Press. This book was released on 2023-08-10 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear and concise mathematical introduction to the subjects of inverse problems and data assimilation, and their inter-relations.

Compact Matrix Quantum Groups and their Combinatorics

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Publisher : Cambridge University Press
ISBN 13 : 1009345737
Total Pages : 301 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis Compact Matrix Quantum Groups and their Combinatorics by : Amaury Freslon

Download or read book Compact Matrix Quantum Groups and their Combinatorics written by Amaury Freslon and published by Cambridge University Press. This book was released on 2023-07-31 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Künneth Geometry

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Publisher : Cambridge University Press
ISBN 13 : 1108905617
Total Pages : 200 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Künneth Geometry by : M. J. D. Hamilton

Download or read book Künneth Geometry written by M. J. D. Hamilton and published by Cambridge University Press. This book was released on 2023-12-21 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This clear and elegant text introduces Künneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic, it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses Künneth geometry from the point of view of basic differential topology, featuring both new expositions of standard material and new material that has not previously appeared in book form. This subject, which has many interesting uses and applications in physics, is developed ab initio, without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry. This book will serve both as a reference work for researchers, and as an invitation for graduate students to explore this field, with open problems included as inspiration for future research.

Cyclic Homology

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Publisher : Springer Science & Business Media
ISBN 13 : 3662113899
Total Pages : 525 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Cyclic Homology by : Jean-Louis Loday

Download or read book Cyclic Homology written by Jean-Louis Loday and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and an introduction to Connes'work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology. The bibliographic comments at the end of each chapter offer good suggestions for further reading and research. The book can be strongly recommended to anybody interested in noncommutative geometry, contemporary algebraic topology and related topics." European Mathematical Society Newsletter In this second edition the authors have added a chapter 13 on MacLane (co)homology.

Selected Topics in Information and Coding Theory

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Publisher : World Scientific
ISBN 13 : 9812837167
Total Pages : 725 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Selected Topics in Information and Coding Theory by : Isaac Woungang

Download or read book Selected Topics in Information and Coding Theory written by Isaac Woungang and published by World Scientific. This book was released on 2010 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cyclic Homology

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662217392
Total Pages : 467 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Cyclic Homology by : Jean-Louis Loday

Download or read book Cyclic Homology written by Jean-Louis Loday and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Universal Cycle Theory

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Publisher :
ISBN 13 : 9781432781330
Total Pages : 626 pages
Book Rating : 4.7/5 (813 download)

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Book Synopsis Universal Cycle Theory by : Stephen J. Puetz

Download or read book Universal Cycle Theory written by Stephen J. Puetz and published by . This book was released on 2011 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: These simple statements hold huge implications about how the universe must operate if it was truly infinite rather than finite, as is commonly thought. In one sense, this book, Universal Cycle Theory, may seem radical because it postulates that the universe operates in ways that are dramatically different from what we are taught. Yet, this new theory is conventional in the sense that it closely conforms to virtually all existing laws, equations, and observations. There are only two elements that make the Universal Cycle Theory radical cycles and infinity. Other than that, much of what you read in this book will seem familiar and conventional. Cycles are crucial because they are reflections of how matter behaves in an infinite universe: as vortices and waves. A vortex forms when matter rotates, producing circular cycles. A wave forms when colliding matter compresses and decompresses, producing linear cycles. Infinity is crucial because it explains the extent and structure of the universe. We assume that matter is infinitely divisible in the microscopic direction and infinitely integrable in the macroscopic direction. We assume that time was infinite in the past and will be infinite in the future. This concept of infinity is unique, having never been employed in a model of the universe before. It resolves many of the paradoxes and contradictions currently riddling physics and cosmology.