Handbook Of Knot Theory

Handbook of Knot Theory PDF
Author: William Menasco
Publisher: Elsevier
ISBN: 9780080459547
Size: 67.98 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 502
View: 6196

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Handbook Of Knot Theory

by William Menasco, Handbook Of Knot Theory Books available in PDF, EPUB, Mobi Format. Download Handbook Of Knot Theory books, This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics


The Oxford Handbook Of The Archaeology Of The Contemporary World

The Oxford Handbook of the Archaeology of the Contemporary World PDF
Author: Paul Graves-Brown
Publisher: OUP Oxford
ISBN: 0191663956
Size: 63.59 MB
Format: PDF, Kindle
Category : Social Science
Languages : en
Pages : 864
View: 6913

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The Oxford Handbook Of The Archaeology Of The Contemporary World

by Paul Graves-Brown, The Oxford Handbook Of The Archaeology Of The Contemporary World Books available in PDF, EPUB, Mobi Format. Download The Oxford Handbook Of The Archaeology Of The Contemporary World books, It has been clear for many years that the ways in which archaeology is practised have been a direct product of a particular set of social, cultural, and historical circumstances - archaeology is always carried out in the present. More recently, however, many have begun to consider how archaeological techniques might be used to reflect more directly on the contemporary world itself: how we might undertake archaeologies of, as well as in the present. This Handbook is the first comprehensive survey of an exciting and rapidly expanding sub-field and provides an authoritative overview of the newly emerging focus on the archaeology of the present and recent past. In addition to detailed archaeological case studies, it includes essays by scholars working on the relationships of different disciplines to the archaeology of the contemporary world, including anthropology, psychology, philosophy, historical geography, science and technology studies, communications and media, ethnoarchaeology, forensic archaeology, sociology, film, performance, and contemporary art. This volume seeks to explore the boundaries of an emerging sub-discipline, to develop a tool-kit of concepts and methods which are applicable to this new field, and to suggest important future trajectories for research. It makes a significant intervention by drawing together scholars working on a broad range of themes, approaches, methods, and case studies from diverse contexts in different parts of the world, which have not previously been considered collectively.


Handbook Of Teichm Ller Theory

Handbook of Teichm  ller Theory PDF
Author: Athanase Papadopoulos
Publisher: European Mathematical Society
ISBN: 9783037191033
Size: 80.65 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 866
View: 2327

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Handbook Of Teichm Ller Theory

by Athanase Papadopoulos, Handbook Of Teichm Ller Theory Books available in PDF, EPUB, Mobi Format. Download Handbook Of Teichm Ller Theory books, The subject of this handbook is Teichmuller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces. This includes the study of vector bundles on these moduli spaces, the study of mapping class groups, the relation with $3$-manifolds, the relation with symmetric spaces and arithmetic groups, the representation theory of fundamental groups, and applications to physics. Thus the handbook is a place where several fields of mathematics interact: Riemann surfaces, hyperbolic geometry, partial differential equations, several complex variables, algebraic geometry, algebraic topology, combinatorial topology, low-dimensional topology, theoretical physics, and others. This confluence of ideas toward a unique subject is a manifestation of the unity and harmony of mathematics. This volume contains surveys on the fundamental theory as well as surveys on applications to and relations with the fields mentioned above. It is written by leading experts in these fields. Some of the surveys contain classical material, while others present the latest developments of the theory as well as open problems. This volume is divided into the following four sections: The metric and the analytic theory The group theory The algebraic topology of mapping class groups and moduli spaces Teichmuller theory and mathematical physics This handbook is addressed to graduate students and researchers in all the fields mentioned.


Handbook Of Geometric Topology

Handbook of Geometric Topology PDF
Author: R.B. Sher
Publisher: Elsevier
ISBN: 9780080532851
Size: 38.23 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 1144
View: 4248

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Handbook Of Geometric Topology

by R.B. Sher, Handbook Of Geometric Topology Books available in PDF, EPUB, Mobi Format. Download Handbook Of Geometric Topology books, 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.


Handbook Of Homotopy Theory

Handbook of Homotopy Theory PDF
Author: Haynes Miller
Publisher: CRC Press
ISBN: 1351251600
Size: 17.19 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 982
View: 6999

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Handbook Of Homotopy Theory

by Haynes Miller, Handbook Of Homotopy Theory Books available in PDF, EPUB, Mobi Format. Download Handbook Of Homotopy Theory books, The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.


Handbook Of Combinatorics

Handbook of Combinatorics PDF
Author: R.L. Graham
Publisher: Elsevier
ISBN: 008093384X
Size: 24.69 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 1018
View: 5151

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Handbook Of Combinatorics

by R.L. Graham, Handbook Of Combinatorics Books available in PDF, EPUB, Mobi Format. Download Handbook Of Combinatorics books, Handbook of Combinatorics


Quantum Triangulations

Quantum Triangulations PDF
Author: Mauro Carfora
Publisher: Springer Science & Business Media
ISBN: 3642244408
Size: 72.77 MB
Format: PDF
Category : Science
Languages : en
Pages : 284
View: 1644

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Quantum Triangulations

by Mauro Carfora, Quantum Triangulations Books available in PDF, EPUB, Mobi Format. Download Quantum Triangulations books, Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment. The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest. This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications.


The Oxford Handbook Of The History Of Mathematics

The Oxford Handbook of the History of Mathematics PDF
Author: Eleanor Robson
Publisher: OUP Oxford
ISBN: 0191607444
Size: 72.77 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 926
View: 1933

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The Oxford Handbook Of The History Of Mathematics

by Eleanor Robson, The Oxford Handbook Of The History Of Mathematics Books available in PDF, EPUB, Mobi Format. Download The Oxford Handbook Of The History Of Mathematics books, This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practise it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what counts as a historical source. Material and oral evidence is drawn upon as well as an unusual array of textual sources. Further, the ways in which people have chosen to express themselves are as historically meaningful as the contents of the mathematics they have produced. Mathematics is not a fixed and unchanging entity. New questions, contexts, and applications all influence what counts as productive ways of thinking. Because the history of mathematics should interact constructively with other ways of studying the past, the contributors to this book come from a diverse range of intellectual backgrounds in anthropology, archaeology, art history, philosophy, and literature, as well as history of mathematics more traditionally understood. The thirty-six self-contained, multifaceted chapters, each written by a specialist, are arranged under three main headings: 'Geographies and Cultures', 'Peoples and Practices', and 'Interactions and Interpretations'. Together they deal with the mathematics of 5000 years, but without privileging the past three centuries, and an impressive range of periods and places with many points of cross-reference between chapters. The key mathematical cultures of North America, Europe, the Middle East, India, and China are all represented here as well as areas which are not often treated in mainstream history of mathematics, such as Russia, the Balkans, Vietnam, and South America. A vital reference for graduates and researchers in mathematics, historians of science, and general historians.


The Oxford Handbook Of Random Matrix Theory

The Oxford Handbook of Random Matrix Theory PDF
Author: Gernot Akemann
Publisher: Oxford University Press, USA
ISBN: 9780198744191
Size: 32.72 MB
Format: PDF, Mobi
Category :
Languages : en
Pages : 952
View: 5988

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The Oxford Handbook Of Random Matrix Theory

by Gernot Akemann, The Oxford Handbook Of Random Matrix Theory Books available in PDF, EPUB, Mobi Format. Download The Oxford Handbook Of Random Matrix Theory books, With a foreword by Freeman Dyson, the Oxford Handbook of Random Matrix Theory brings together leading mathematicians and physicists to offer a comprehensive overview of random matrix theory, including a guide to new developments and the diverse range of applications of this approach.In the first part of this book, all modern and classical techniques of solving random matrix models are explored, including orthogonal polynomials, exact replicasor supersymmetry. Further, all main


Algorithms And Theory Of Computation Handbook

Algorithms and Theory of Computation Handbook PDF
Author: Mikhail J. Atallah
Publisher: CRC Press
ISBN: 9781420049503
Size: 31.47 MB
Format: PDF, Mobi
Category : Computers
Languages : en
Pages : 1312
View: 4660

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Algorithms And Theory Of Computation Handbook

by Mikhail J. Atallah, Algorithms And Theory Of Computation Handbook Books available in PDF, EPUB, Mobi Format. Download Algorithms And Theory Of Computation Handbook books, Algorithms and Theory of Computation Handbook is a comprehensive collection of algorithms and data structures that also covers many theoretical issues. It offers a balanced perspective that reflects the needs of practitioners, including emphasis on applications within discussions on theoretical issues. Chapters include information on finite precision issues as well as discussion of specific algorithms where algorithmic techniques are of special importance, including graph drawing, robotics, forming a VLSI chip, vision and image processing, data compression, and cryptography. The book also presents some advanced topics in combinatorial optimization and parallel/distributed computing. • applications areas where algorithms and data structuring techniques are of special importance • graph drawing • robot algorithms • VLSI layout • vision and image processing algorithms • scheduling • electronic cash • data compression • dynamic graph algorithms • on-line algorithms • multidimensional data structures • cryptography • advanced topics in combinatorial optimization and parallel/distributed computing