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Harmonic Maps, Loop Groups, and Integrable Systems
ISBN: 9780521580854 / Angielski / Twarda / 212 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an accessible introduction to some of the fundamental connections among differential geometry, Lie groups, and integrable Hamiltonian systems. The text demonstrates how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists as well.
This is an accessible introduction to some of the fundamental connections among differential geometry, Lie groups, and integrable Hamiltonian systems....
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516,69 |
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Braids and Coverings: Selected Topics
ISBN: 9780521384797 / Angielski / Twarda / 202 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on a graduate course taught by the author at the University of Maryland. The lecture notes have been revised and augmented by examples. The first two chapters develop the elementary theory of Artin Braid groups, both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markou's Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin Braid group on n strings.
This book is based on a graduate course taught by the author at the University of Maryland. The lecture notes have been revised and augmented by examp...
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516,69 |
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Fundamentals of Mathematical Analysis
ISBN: 9780198868781 / Angielski / Twarda / 480 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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516,69 |
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Ultrametric Banach Algebras
ISBN: 9789812381941 / Angielski / Twarda / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and circular filters which characterize absolute values on polynomials and make a nice tree structure. The Shilov boundary does exist for normed ultrametric algebras.In uniform Banach algebras, the spectral norm is equal to the supremum of all continuous multiplicative seminorms whose kernel is a maximal ideal. Two different such seminorms can have the same kernel. Krasner-Tate algebras are characterized among Krasner algebras, affinoid algebras, and...
In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and circular fil...
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cena:
519,16 |
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Affine Differential Geometry: Geometry of Affine Immersions
ISBN: 9780521441773 / Angielski / Twarda / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Affine differential geometry has undergone a period of revival and rapid progress in the past decade. This book is a self-contained and systematic account of affine differential geometry from a contemporary view. It covers not only the classical theory, but also introduces the modern developments of the past decade. The authors have concentrated on the significant features of the subject and their relationship and application to such areas as Riemannian, Euclidean, Lorentzian and projective differential geometry. In so doing, they also provide a modern introduction to the latter. Some of the...
Affine differential geometry has undergone a period of revival and rapid progress in the past decade. This book is a self-contained and systematic acc...
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521,34 |
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Surfaces in 4-Space
ISBN: 9783540210405 / Angielski / Twarda / 214 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Surfaces in 4-Space, written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. The last chapter comprises many recent results, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included. This book contains many new... Surfaces in 4-Space, written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys ma... |
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523,30 |
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Topology II: Homotopy and Homology. Classical Manifolds
ISBN: 9783540519966 / Angielski / Twarda / 258 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. to Homotopy Theory O. Ya. Viro, D. B. Fuchs Translated from the Russian by C. J. Shaddock Contents Chapter 1. Basic Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. Terminology and Notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 1. Set Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 2. Logical Equivalence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 3. Topological Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
to Homotopy Theory O. Ya. Viro, D. B. Fuchs Translated from the Russian by C. J. Shaddock Contents Chapter 1. Basic Concepts . . . . . . . . . . . . ....
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523,30 |
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A Survey of Knot Theory
ISBN: 9783764351243 / Angielski / Twarda / 423 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Knot theory is a rapidly developing field of research with many applications not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of knot theory from its very beginnings to today's most recent research results. The topics include Alexander polynomials, Jones type polynomials, and Vassiliev invariants. With its appendix containing many useful tables and an extended list of references with over 3,500 entries it is an indispensable book for everyone concerned with knot theory. The book can serve as an introduction to the field for advanced... Knot theory is a rapidly developing field of research with many applications not only for mathematics. The present volume, written by a well-known ... |
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523,30 |
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Banach Space Theory: The Basis for Linear and Nonlinear Analysis
ISBN: 9781441975140 / Angielski / Twarda / 820 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Coverage includes Radon-Nikodum property, finite-dimensional spaces and local theory on tensor products, and more.
This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Coverage includes Rado...
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523,30 |
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Arrangements of Hyperplanes
ISBN: 9783642081378 / Angielski / Miękka / 325 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in a finite dimensional vector space. Arrangements have emerged independently as important objects in various fields of mathematics such as combinatorics, braids, configuration spaces, representation theory, reflection groups, singularity theory, and in computer science and physics. This book is the first comprehensive study of the subject. It treats arrangements with methods from combinatorics, algebra, algebraic geometry, topology, and group actions. It emphasizes general techniques which illuminate the...
An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in a finite dimensional vector space. Arrangements have emerg...
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523,30 |
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Algebraic Operads
ISBN: 9783642303616 / Angielski / Twarda / 636 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In many areas of mathematics some higher operations are arising. These havebecome so important that several research projects refer to such expressions. Higher operationsform new types of algebras. The key to understanding and comparing them, to creating invariants of their action is operad theory. This is a point of view that is 40 years old in algebraic topology, but the new trend is its appearance in several other areas, such as algebraic geometry, mathematical physics, differential geometry, and combinatorics. The present volume is the first comprehensive and systematic approach to... In many areas of mathematics some higher operations are arising. These havebecome so important that several research projects refer to such express... |
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523,30 |
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Exterior Differential Systems
ISBN: 9781461397168 / Angielski / Miękka / 475 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e., submanifolds satisfying all the equations of the system. A fundamental fact is that every equation implies the one obtained by exterior differentiation, so that the complete set of equations associated to an...
This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior different...
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523,30 |
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Stratified Morse Theory
ISBN: 9783642717161 / Angielski / Miękka / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Due to the lack of proper bibliographical sources stratification theory seems to be a "mysterious" subject in contemporary mathematics. This book contains a complete and elementary survey - including an extended bibliography - on stratification theory, including its historical development. Some further important topics in the book are: Morse theory, singularities, transversality theory, complex analytic varieties, Lefschetz theorems, connectivity theorems, intersection homology, complements of affine subspaces and combinatorics. The book is designed for all interested students or...
Due to the lack of proper bibliographical sources stratification theory seems to be a "mysterious" subject in contemporary mathematics. This book cont...
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523,30 |
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Manifolds, Tensor Analysis, and Applications
ISBN: 9781461269908 / Angielski / Miękka / 656 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid me- chanics, electromagnetism, plasma dynamics and control thcory arc given in Chapter 8, using both invariant and index notation. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory....
The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The...
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523,30 |
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Singularities of Differentiable Maps: Volume II Monodromy and Asymptotic Integrals
ISBN: 9781461284086 / Angielski / Miękka / 492 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present. volume is the second volume of the book "Singularities of Differentiable Maps" by V.1. Arnold, A. N. Varchenko and S. M. Gusein-Zade. The first volume, subtitled "Classification of critical points, caustics and wave fronts", was published by Moscow, "Nauka", in 1982. It will be referred to in this text simply as "Volume 1". Whilst the first volume contained the zoology of differentiable maps, that is it was devoted to a description of what, where and how singularities could be encountered, this volume contains the elements of the anatomy and physiology of singularities of...
The present. volume is the second volume of the book "Singularities of Differentiable Maps" by V.1. Arnold, A. N. Varchenko and S. M. Gusein-Zade. The...
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cena:
523,30 |
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Vector Bundles on Complex Projective Spaces
ISBN: 9781475714623 / Angielski / Miękka / 389 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These lecture notes are intended as an introduction to the methods of classification of holomorphic vector bundles over projective algebraic manifolds X. To be as concrete as possible we have mostly restricted ourselves to the case X = Fn. According to Serre (GAGA) the classification of holomorphic vector bundles is equivalent to the classification of algebraic vector bundles. Here we have used almost exclusively the language of analytic geometry. The book is intended for students who have a basic knowledge of analytic and (or) algebraic geometry. Some funda- mental results from these fields...
These lecture notes are intended as an introduction to the methods of classification of holomorphic vector bundles over projective algebraic manifolds...
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523,30 |
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Local Homotopy Theory
ISBN: 9781493922994 / Angielski / Twarda / 508 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory. Beginning with an introduction to the homotopy theory of simplicial sets and topos theory, the book covers core topics such as the unstable homotopy theory of simplicial presheaves and sheaves, localized theories, cocycles, descent theory, non-abelian cohomology, stacks, and local stable homotopy theory. A detailed treatment of the formalism of the... This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motiv... |
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523,30 |
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Algebraic Operads
ISBN: 9783642448355 / Angielski / Miękka / 636 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In many areas of mathematics some "higher operations" are arising. These havebecome so important that several research projects refer to such expressions. Higher operationsform new types of algebras. The key to understanding and comparing them, to creating invariants of their action is operad theory. This is a point of view that is 40 years old in algebraic topology, but the new trend is its appearance in several other areas, such as algebraic geometry, mathematical physics, differential geometry, and combinatorics. The present volume is the first comprehensive and systematic approach to... In many areas of mathematics some "higher operations" are arising. These havebecome so important that several research projects refer to such expre... |
cena:
523,30 |
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Separation in Point-Free Topology
ISBN: 9783030534783 / Angielski / Twarda / 281 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
523,30 |
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In the Tradition of Thurston: Geometry and Topology
ISBN: 9783030559274 / Angielski / Twarda / 713 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
523,30 |
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