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The Index Theorem and the Heat Equation Method
ISBN: 9789810246105 / Angielski / Twarda / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume provides a self-contained represenation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first-order geometric elliptic operators by using the heat-equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems.
This volume provides a self-contained represenation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, ...
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cena:
509,37 |
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Quantum Invariants: A Study of Knots, 3-Manifolds, and Their Sets
ISBN: 9789810246754 / Angielski / Twarda / 508 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invariants derived from representations of quantum groups and from the monodromy of solutions to the Knizhnik-Zamolodchikov equation. With the introduction of the Kontsevich invariant and the theory of Vassiliev invariants, the quantum invariants become well-organized. Quantum and perturbative invariants, the LMO invariant, and finite type invariants...
This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of k...
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cena:
783,64 |
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Lectures on Chern-Weil Theory and Witten Deformations
ISBN: 9789810246860 / Angielski / Miękka / 132 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and André Weil, as well as a proof of the Gauss-Bonnet-Chern theorem based on the Mathai-Quillen construction of Thom forms; the second part presents analytic proofs of the Poincaré-Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.
This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics....
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cena:
112,64 |
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Foliations: Geometry and Dynamics
ISBN: 9789810247966 / Angielski / Twarda / 460 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
710,17 |
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Geometric and Topological Methods for Quantum Field Theory - Proceedings of the Summer School
ISBN: 9789812381316 / Angielski / Twarda / 492 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume introduces some mathematical and physical tools and methods required to follow the recent developments, and provides insight in various active areas of mathematical physics, including duality, gauge field theory, conformal field theory, topological field theory, noncommutative geometry, and geometry of low-dimensional manifolds.
This volume introduces some mathematical and physical tools and methods required to follow the recent developments, and provides insight in various ac...
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cena:
1018,73 |
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Topological Methods, Variational Methods and Their Applications - Proceedings of the Icm2002 Satellite Conference on Nonlinear Functional Analysis
ISBN: 9789812382627 / Angielski / Twarda / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14-18, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences of Chinese Academy of Sciences, Mathematical school of Nankai University, and Department of Mathematics of Shanxi University, and was sponsored by Shanxi Province Education Committee, Tian Yuan Mathematics Foundation, and Shanxi University.166 mathematicians from 21 countries and areas in the world attended the conference. 53 invited speakers and...
ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14-18, 2002 at Taiyuan, Shanxi Province, China. This conference was...
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cena:
783,64 |
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First 60 Years Of Nonlinear Analysis Of Jean Mawhin, The
ISBN: 9789812387653 / Angielski Termin realizacji zamówienia: ok. 5-8 dni roboczych. The work of Jean Mawhin covers different aspects of the theory of differential equations and nonlinear analysis. On the occasion of his sixtieth birthday, a group of mathematicians gathered in Sevilla, Spain, in April 2003 to honor his mathematical achievements as well as his unique personality. This book provides an extraordinary view of a number of ground-breaking ideas and methods in nonlinear analysis and differential equations.
The work of Jean Mawhin covers different aspects of the theory of differential equations and nonlinear analysis. On the occasion of his sixtieth birth...
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cena:
690,57 |
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Topics in Almost Hermitian Geometry and Related Fields - Proceedings in Honor of Professor K Sekigawa's 60th Birthday
ISBN: 9789812564177 / Angielski / Twarda / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume contains a valuable collection of research articles by active and well-known mathematicians in differential geometry and mathematical physics, contributed to mark Professor Kouei Sekigawa's 60th birthday. The papers feature many new and significant results while also reviewing developments in the field. The illustrious career of Professor Sekigawa and his encounters with friends in mathematics is a special highlight of the volume.
This volume contains a valuable collection of research articles by active and well-known mathematicians in differential geometry and mathematical phys...
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cena:
553,44 |
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The User's Approach for Topological Methods in 3D Dynamical Systems
ISBN: 9789812703804 / Angielski / Twarda / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the development and application of some topological methods in the analysis of data coming from 3D dynamical systems (or related objects). The aim is to emphasize the scope and limitations of the methods, what they provide and what they do not provide. Braid theory, the topology of surface homeomorphisms, data analysis and the reconstruction of phase-space dynamics are thoroughly addressed.
This book presents the development and application of some topological methods in the analysis of data coming from 3D dynamical systems (or related ob...
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cena:
401,61 |
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Topological Library - Part 1: Cobordisms and Their Applications
ISBN: 9789812705594 / Angielski / Twarda / 388 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the best ways to learn topology is to read the classics. This translation of the 2005 Russian edition include the original methods and constructions from the originals of the 1950s and 1960s. The extended entries include Pontrjagin's article on smooth manifolds and their application in homotopy theory; Thoms' work on global properties of differential manifolds; Novikov's paper on homotropy properties of Tom complexes; papers by Smale on the generalized Poincare's conjecture in dimensions greater than four and the structure of manifolds; Quillen's article on the formal group laws of...
One of the best ways to learn topology is to read the classics. This translation of the 2005 Russian edition include the original methods and construc...
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cena:
798,33 |
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Intelligence of Low Dimensional Topology 2006
ISBN: 9789812705938 / Angielski / Twarda / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume gathers the contributions from the international conference "Intelligence of Low Dimensional Topology 2006," which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest results.
This volume gathers the contributions from the international conference "Intelligence of Low Dimensional Topology 2006," which took place in Hiroshima...
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cena:
915,87 |
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Linknot: Knot Theory by Computer
ISBN: 9789812772237 / Angielski / Twarda / 500 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Provides a view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences, including chemistry, molecular biology and physics. This book covers basic notions in knot theory, as well as methods for handling open problems such as unknotting number and non-algebraic tangles.
Provides a view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences...
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cena:
587,73 |
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Measure, Topology, and Fractal Geometry
ISBN: 9780387747484 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From reviews of the first edition: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal." Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact,... From reviews of the first edition: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal." Startin... |
cena:
164,85 |
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Knot Theory & Its Applications
ISBN: 9780817647186 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Knot theory is a concept in algebraic topology that has found applications to a variety of mathematical problems as well as to problems in computer science, biological and medical research, and mathematical physics. This book is directed to a broad audience of researchers, beginning graduate students, and senior undergraduate students in these fields. The book contains most of the fundamental classical facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials; also included are key newer developments and... Knot theory is a concept in algebraic topology that has found applications to a variety of mathematical problems as well as to problems in computer... |
cena:
261,63 |
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Category Theory and Computer Science: Edinburgh, UK, September 7-9, 1987. Proceedings
ISBN: 9783540185086 / Angielski / Miękka / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the proceedings of the Sixth International Conference on Category Theory and Computer Science, CTCS '95, held in Cambridge, UK in August 1995.The 15 revised full papers included in the volume document the exploitation of links between logic and category theory leading to a solid basis for much of the understanding of the semantics of computation. Notable amongst other advances is the introduction of linear logic and other substructural logics, providing a new approach to proof theory. Further aspects covered are semantics of lambda calculi and type theories, program...
This book presents the proceedings of the Sixth International Conference on Category Theory and Computer Science, CTCS '95, held in Cambridge, UK in A...
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cena:
201,24 |
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Invariants of Homology 3-Spheres
ISBN: 9783540437963 / Angielski / Twarda / 223 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book gives a systematic exposition of the diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered include: constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, and Floer homology and gauge-theoretical invariants of homology cobordism. Many of the topics covered in the book appear in monograph form for the first time. The book gives a rather broad overview of ideas and methods and provides a comprehensive bibliography. The text will be a...
The book gives a systematic exposition of the diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from q...
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cena:
563,56 |
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Braids and Self-Distributivity
ISBN: 9783764363437 / Angielski / Twarda / 623 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to present recently discovered connections between Artin's braid groups En and left self-distributive systems (also called LD systems), which are sets equipped with a binary operation satisfying the left self-distributivity identity x(yz) = (xy)(xz). (LD) Such connections appeared in set theory in the 1980s and led to the discovery in 1991 of a left invariant linear order on the braid groups. Braids and self-distributivity have been studied for a long time. Braid groups were introduced in the 1930s by E. Artin, and they have played an increas ing role in mathematics in...
The aim of this book is to present recently discovered connections between Artin's braid groups En and left self-distributive systems (also called LD ...
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cena:
402,53 |
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Algebraic Topology: A Student's Guide
ISBN: 9780521080767 / Angielski / Miękka / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This set of notes is aimed at graduate students who are specializing in algebraic topology.
This set of notes is aimed at graduate students who are specializing in algebraic topology.
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cena:
499,84 |
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Suites de Sturm, Indice de Maslov Et Périodicité de Bott
ISBN: 9783764387099 / Francuski / Twarda / 199 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The classical theory of Sturm sequences provides an algorithm for determining the number of roots of a polynomial with real coefficients contained in an open interval. The main purpose of this monograph is to show that a suitable generalization of the theory of Sturm sequences provides, among others: a notion of Maslov index for an algebraic loop of lagrangians defined over a commutative ring; a proof of the fundamental theorem of (algebraic) hermitian K-theory (theorem due to M. Karoubi); a proof of the theorems of (topological) Bott periodicity (in the spirit of the work of F. Latour); the...
The classical theory of Sturm sequences provides an algorithm for determining the number of roots of a polynomial with real coefficients contained in ...
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cena:
201,24 |
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Shape Theory: Categorical Methods of Approximation
ISBN: 9780486466231 / Angielski / Miękka / 207 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This in-depth treatment uses shape theory as a "case study" to illustrate situations common to many areas of mathematics, including the use of archetypal models as a basis for systems of approximations. It offers students a unified and consolidated presentation of extensive research from category theory, shape theory, and the study of topological algebras.
A short introduction to geometric shape explains specifics of the construction of the shape category and relates it to an abstract definition of shape theory. Upon returning to the geometric base, the text considers simplical complexes... This in-depth treatment uses shape theory as a "case study" to illustrate situations common to many areas of mathematics, including the use of archety...
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cena:
57,61 |
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