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Author : Richard Albert Cleveland
Publisher :
ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.:/5 (29 download)
Download or read book Topological Correspondences written by Richard Albert Cleveland and published by . This book was released on 1962 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abhijeet Alase
Publisher : Springer Nature
ISBN 13 : 3030319601
Total Pages : 213 pages
Book Rating : 4.0/5 (33 download)
Download or read book Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter written by Abhijeet Alase and published by Springer Nature. This book was released on 2019-11-20 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis extends our understanding of systems of independent electrons by developing a generalization of Bloch’s Theorem which is applicable whenever translational symmetry is broken solely due to arbitrary boundary conditions. The thesis begins with a historical overview of topological condensed matter physics, placing the work in context, before introducing the generalized form of Bloch's Theorem. A cornerstone of electronic band structure and transport theory in crystalline matter, Bloch's Theorem is generalized via a reformulation of the diagonalization problem in terms of corner-modified block-Toeplitz matrices and, physically, by allowing the crystal momentum to take complex values. This formulation provides exact expressions for all the energy eigenvalues and eigenstates of the single-particle Hamiltonian. By precisely capturing the interplay between bulk and boundary properties, this affords an exact analysis of several prototypical models relevant to symmetry-protected topological phases of matter, including a characterization of zero-energy localized boundary excitations in both topological insulators and superconductors. Notably, in combination with suitable matrix factorization techniques, the generalized Bloch Hamiltonian is also shown to provide a natural starting point for a unified derivation of bulk-boundary correspondence for all symmetry classes in one dimension.
Author : Volodymyr Nekrashevych
Publisher : American Mathematical Society
ISBN 13 : 1470463806
Total Pages : 708 pages
Book Rating : 4.4/5 (74 download)
Download or read book Groups and Topological Dynamics written by Volodymyr Nekrashevych and published by American Mathematical Society. This book was released on 2022-10-07 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using group theory to study symbolic dynamics, and other connections between group theory and dynamical systems. One of the main applications of this approach to group theory is the study of asymptotic properties of groups such as growth and amenability. The book presents recently developed techniques of studying groups of dynamical origin using the structure of their orbits and associated groupoids of germs, applications of the iterated monodromy groups to hyperbolic dynamical systems, topological full groups and their properties, amenable groups, groups of intermediate growth, and other topics. The book is suitable for graduate students and researchers interested in group theory, transformations defined by automata, topological and holomorphic dynamics, and theory of topological groupoids. Each chapter is supplemented by exercises of various levels of complexity.
Author : Sylvie Paycha
Publisher : American Mathematical Soc.
ISBN 13 : 0821840622
Total Pages : 272 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometric and Topological Methods for Quantum Field Theory written by Sylvie Paycha and published by American Mathematical Soc.. This book was released on 2007 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, based on lectures and short communications at a summer school in Villa de Leyva, Colombia (July 2005), offers an introduction to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. It is aimed at graduate students in physics or mathematics who might want insight in the following topics (covered in five survey lectures): Anomalies and noncommutative geometry, Deformation quantisation and Poisson algebras, Topological quantum field theory and orbifolds. These lectures are followed by nine articles on various topics at the borderline of mathematics and physics ranging from quasicrystals to invariant instantons through black holes, and involving a number of mathematical tools borrowed from geometry, algebra and analysis.
Author : Beniamino Segre
Publisher : Springer Science & Business Media
ISBN 13 : 3642650066
Total Pages : 207 pages
Book Rating : 4.6/5 (426 download)
Download or read book Some Properties of Differentiable Varieties and Transformations written by Beniamino Segre and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains, together with numerous addition and extensions, the course of lectures which I gave at Pavia (26 September till 5 October 1955) by invitation of the «Centro Internazionale Mate matico Estivo». The treatment has the character of a monograph, and presents various novel features, both in form and in substance; these are indicated in the notes which will be found at the beginning and end of each chapter, Of the nine parts into which the work is divided, the first four are essentially differential in character, the next three deal with algebraic geometry, while the last two are concerned with certain aspects of the theory of differential equations and of correspondences between topo logical varieties. A glance at the index will suffice to give a more exact idea of the range and variety of the contents, whose chief characteristic is that of establishing suggestive and sometimes unforeseen relations between apparently diverse subjects (e. g. differential geometry in the small and also in the large, algebraic geometry, function theory, topo logy, etc. ); prominence is given throughout to the geometrical view point, and tedious calculations are as far as possible avoided. The exposition has been planned so that it can be followed without much difficulty even by readers who have no special knowledge of the subjects treated.
Author : Enayet Ullah Tarafdar
Publisher : World Scientific
ISBN 13 : 9812791469
Total Pages : 627 pages
Book Rating : 4.8/5 (127 download)
Download or read book Topological Methods for Set-valued Nonlinear Analysis written by Enayet Ullah Tarafdar and published by World Scientific. This book was released on 2008 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the authors'' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems. Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings. Sample Chapter(s). Chapter 1: Introduction (162 KB). Contents: Contraction Mappings; Some Fixed Point Theorems in Partial Ordered Sets; Topological Fixed Point Theorems; Variational and Quasivariational Inequalities in Topological Vector Spaces and Generalized Games; Best Approximation and Fixed Point Theorems for Set-Valued Mappings in Topological Vector Spaces; Degree Theory for Set-Valued Mappings; Nonexpansive Types of Mappings and Fixed Point Theorems in Locally Convex Topological Vector Spaces. Readership: Graduate students and researchers in mathematics, economics, finance and engineering.
Author : Albert S. Schwarz
Publisher : Springer Science & Business Media
ISBN 13 : 3662029987
Total Pages : 299 pages
Book Rating : 4.6/5 (62 download)
Download or read book Topology for Physicists written by Albert S. Schwarz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. Topology has profound relevance to quantum field theory-for example, topological nontrivial solutions of the classical equa tions of motion (solitons and instantons) allow the physicist to leave the frame work of perturbation theory. The significance of topology has increased even further with the development of string theory, which uses very sharp topologi cal methods-both in the study of strings, and in the pursuit of the transition to four-dimensional field theories by means of spontaneous compactification. Im portant applications of topology also occur in other areas of physics: the study of defects in condensed media, of singularities in the excitation spectrum of crystals, of the quantum Hall effect, and so on. Nowadays, a working knowledge of the basic concepts of topology is essential to quantum field theorists; there is no doubt that tomorrow this will also be true for specialists in many other areas of theoretical physics. The amount of topological information used in the physics literature is very large. Most common is homotopy theory. But other subjects also play an important role: homology theory, fibration theory (and characteristic classes in particular), and also branches of mathematics that are not directly a part of topology, but which use topological methods in an essential way: for example, the theory of indices of elliptic operators and the theory of complex manifolds.
Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 3642617018
Total Pages : 443 pages
Book Rating : 4.6/5 (426 download)
Download or read book General Topology written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the softcover reprint of the 1971 English translation of the first four chapters of Bourbaki’s Topologie Generale. It gives all basics of the subject, starting from definitions. Important classes of topological spaces are studied, and uniform structures are introduced and applied to topological groups. In addition, real numbers are constructed and their properties established.
Author : Rui Diogo
Publisher : CRC Press
ISBN 13 : 135133493X
Total Pages : 933 pages
Book Rating : 4.3/5 (513 download)
Download or read book Muscles of Chordates written by Rui Diogo and published by CRC Press. This book was released on 2018-04-17 with total page 933 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chordates comprise lampreys, hagfishes, jawed fishes, and tetrapods, plus a variety of more unfamiliar and crucially important non-vertebrate animal lineages, such as lancelets and sea squirts. This will be the first book to synthesize, summarize, and provide high-quality illustrations to show what is known of the configuration, development, homology, and evolution of the muscles of all major extant chordate groups. Muscles as different as those used to open the siphons of sea squirts and for human facial communication will be compared, and their evolutionary links will be explained. Another unique feature of the book is that it covers, illustrates, and provides detailed evolutionary tables for each and every muscle of the head, neck and of all paired and median appendages of extant vertebrates. Key Selling Features: Has more than 200 high-quality anatomical illustrations, including evolutionary trees that summarize the origin and evolution of all major muscle groups of chordates Includes data on the muscles of the head and neck and on the pectoral, pelvic, anal, dorsal, and caudal appendages of all extant vertebrate taxa Examines experimental observations from evolutionary developmental biology studies of chordate muscle development, allowing to evolutionarily link the muscles of vertebrates with those of other chordates Discusses broader developmental and evolutionary issues and their implications for macroevolution, such as the links between phylogeny and ontogeny, homology and serial homology, normal and abnormal development, the evolution, variations, and birth defects of humans, and medicine.
Author : David Robinson
Publisher : Psychology Press
ISBN 13 : 9780415336093
Total Pages : 218 pages
Book Rating : 4.3/5 (36 download)
Download or read book The Topology of the 2x2 Games written by David Robinson and published by Psychology Press. This book was released on 2005 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2x2 games provide the very basis of game theory and this book constitutes something approaching a 'periodic table' of the most common games - the prisoner's dilemma, coordination games, chicken and the battle of the sexes among them.
Author : Masudul Alam Choudhury
Publisher : Routledge
ISBN 13 : 1317847768
Total Pages : 374 pages
Book Rating : 4.3/5 (178 download)
Download or read book Islamic World View written by Masudul Alam Choudhury and published by Routledge. This book was released on 2019-01-04 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quest for a systematic unity of the universe in all of its manifestations is a common topic in Western thought. In this book the author shows what Islam can bring to this field of human enquiry. Defining a paradigm of Islamic political economy and world systems, he presents a study of epistemology in the light of general systems derived from the Qur'anic premise. The result is an intellectual endeavour without any dogmatic or reglious and philosophoical enquiry. First published in 2001. Routledge is an imprint of Taylor & Francis, an informa company.
Author : Ralph L. Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 3764373881
Total Pages : 159 pages
Book Rating : 4.7/5 (643 download)
Download or read book String Topology and Cyclic Homology written by Ralph L. Cohen and published by Springer Science & Business Media. This book was released on 2006-03-21 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single practical volume. The first part offers a thorough and elegant exposition of various approaches to string topology and the Chas-Sullivan loop product. The second gives a complete and clear construction of an algebraic model for computing topological cyclic homology.
Author : Vittorio Ferrari
Publisher : Springer
ISBN 13 : 3030012700
Total Pages : 899 pages
Book Rating : 4.0/5 (3 download)
Download or read book Computer Vision – ECCV 2018 written by Vittorio Ferrari and published by Springer. This book was released on 2018-10-06 with total page 899 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixteen-volume set comprising the LNCS volumes 11205-11220 constitutes the refereed proceedings of the 15th European Conference on Computer Vision, ECCV 2018, held in Munich, Germany, in September 2018.The 776 revised papers presented were carefully reviewed and selected from 2439 submissions. The papers are organized in topical sections on learning for vision; computational photography; human analysis; human sensing; stereo and reconstruction; optimization; matching and recognition; video attention; and poster sessions.
Author : V. Kaimanovich
Publisher : American Mathematical Soc.
ISBN 13 : 0821872893
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)
Download or read book Representation Theory, Dynamical Systems, and Asymptotic Combinatorics written by V. Kaimanovich and published by American Mathematical Soc.. This book was released on 2011-11-09 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, devoted to the 70th birthday of the well-known St. Petersburg mathematician A. M. Vershik, contains a collection of articles by participants in the conference "Representation Theory, Dynamical Systems, and Asymptotic Combinatorics", held in St. Petersburg in June of 2004. The book is suitable for graduate students and researchers interested in combinatorial and dynamical aspects of group representation theory.
Author : James C. Moore
Publisher : Springer Science & Business Media
ISBN 13 : 9783540612100
Total Pages : 1012 pages
Book Rating : 4.6/5 (121 download)
Download or read book Mathematical Methods for Economic Theory 2 written by James C. Moore and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work functions both as a textbook for graduates and as a reference for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate in economics, the two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. This second volume introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces
Author : Farrell Brumley
Publisher : American Mathematical Soc.
ISBN 13 : 147043573X
Total Pages : 394 pages
Book Rating : 4.4/5 (74 download)
Download or read book Around Langlands Correspondences written by Farrell Brumley and published by American Mathematical Soc.. This book was released on 2017 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent developments in the Langlands program. Special emphasis is placed on nonclassical versions of the conjectural Langlands correspondences, where the underlying field is no longer the complex numbers.
Author : Simon Grennan
Publisher : Springer
ISBN 13 : 1137518448
Total Pages : 287 pages
Book Rating : 4.1/5 (375 download)
Download or read book A Theory of Narrative Drawing written by Simon Grennan and published by Springer. This book was released on 2017-06-29 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an original new conception of visual story telling, proposing that drawing, depictive drawing and narrative drawing are produced in an encompassing dialogic system of embodied social behavior. It refigures the existing descriptions of visual story-telling that pause with theorizations of perception and the articulation of form. The book identifies and examines key issues in the field, including: the relationships between vision, visualization and imagination; the theoretical remediation of linguistic and narratological concepts; the systematization of discourse; the production of the subject; idea and institution; and the significance of resources of the body in depiction, representation and narrative. It then tests this new conception in practice: two original visual demonstrations clarify the particular dialectic relationships between subjects and media, in an examination of drawing style and genre, social consensus and self-conscious constraint. The book’s originality derives from its clear articulation of a wide range of sources in proposing a conception of narrative drawing, and the extrapolation of this new conception in two new visual demonstrations.
