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Aperiodic Order: Volume 1, a Mathematical Invitation
ISBN: 9780521869911 / Angielski / Twarda / 552 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition...
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematic...
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607,46 zł |
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Characteristic Classes. (Am-76), Volume 76
ISBN: 9780691081229 / Angielski / Miękka / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic... The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geo... |
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598,57 zł |
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Classical Algebraic Geometry: A Modern View
ISBN: 9781107017658 / Angielski / Twarda / 652 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers...
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has be...
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564,78 zł |
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Introduction to Vassiliev Knot Invariants
ISBN: 9781107020832 / Angielski / Twarda / 520 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. With hundreds of worked examples, exercises and illustrations, this detailed exposition of the theory of Vassiliev knot invariants opens the field to students with little or no knowledge in this area. It also serves as a guide to more advanced material. The book begins with a basic and informal introduction to knot theory, giving many examples of knot invariants before the class of Vassiliev invariants is introduced. This is followed by a detailed study of the algebras of Jacobi diagrams and 3-graphs, and the construction of functions on these algebras via Lie algebras. The authors then...
With hundreds of worked examples, exercises and illustrations, this detailed exposition of the theory of Vassiliev knot invariants opens the field to ...
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352,21 zł |
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Differential Geometry of Singular Spaces and Reduction of Symmetry
ISBN: 9781107022713 / Angielski / Twarda / 247 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.
A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.
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554,90 zł |
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Geometric and Topological Methods for Quantum Field Theory: Proceedings of the 2009 Villa de Leyva Summer School
ISBN: 9781107026834 / Angielski / Twarda / 392 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Based on lectures given at the renowned Villa de Leyva summer school, this book provides a unique presentation of modern geometric methods in quantum field theory. Written by experts, it enables readers to enter some of the most fascinating research topics in this subject. Covering a series of topics on geometry, topology, algebra, number theory methods and their applications to quantum field theory, the book covers topics such as Dirac structures, holomorphic bundles and stability, Feynman integrals, geometric aspects of quantum field theory and the standard model, spectral and Riemannian...
Based on lectures given at the renowned Villa de Leyva summer school, this book provides a unique presentation of modern geometric methods in quantum ...
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357,16 zł |
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Non-Hausdorff Topology and Domain Theory: Selected Topics in Point-Set Topology
ISBN: 9781107034136 / Angielski / Twarda / 497 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be Hausdorff. This is essential for domain theory, the cornerstone of semantics of computer languages, where the Scott topology is almost never Hausdorff. For the first time in a single volume, this book covers basic material on metric and topological spaces, advanced material on complete partial orders, Stone duality, stable compactness, quasi-metric spaces and much more. An early chapter on metric spaces serves as an invitation to the topic (continuity, limits,...
This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be Hausdorff. This is essentia...
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465,89 zł |
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Singularities of the Minimal Model Program
ISBN: 9781107035348 / Angielski / Twarda / 382 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The study of these singularities and the development of Mori's program have been deeply intertwined. Early work on minimal models relied on detailed study of terminal and canonical singularities but many later results on log terminal singularities were obtained as consequences of the minimal model program. Recent work on the abundance conjecture and on moduli of varieties of general type relies on subtle properties of log canonical singularities and...
This book gives a comprehensive treatment of the singularities that appear in the minimal model program and in the moduli problem for varieties. The s...
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376,93 zł |
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Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology
ISBN: 9781107610491 / Angielski / Miękka / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter detailing the geometry of hyperbolic surfaces and includes numerous worked examples and exercises to give the reader a solid foundation for the rest of the book. In later chapters the classical version of Selberg's trace formula is derived in detail and transfer operators are developed as tools in...
Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts in...
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365,45 zł |
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A First Course in Computational Algebraic Geometry
ISBN: 9781107612532 / Angielski / Miękka / 126 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.
A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.
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108,06 zł |
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Introduction to Topology and Geometry
ISBN: 9781118108109 / Angielski / Twarda / 536 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition -. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.- --CHOICE This fully revised new edition offers the most comprehensive coverage of modern geometry currently available at an introductory level. The book strikes a welcome balance between academic rigor and accessibility, providing a complete and cohesive... An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition -. . ... |
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609,28 zł |
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Simplicial Structures in Topology
ISBN: 9781441972354 / Angielski / Twarda / 243 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies closed surfaces and gives their classification. The last chapter of the book is devoted to homotopy groups, which are used in short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henry Poincare (singular homology is discussed). Illustrative examples throughout and extensive exercises at the end of each chapter for practice enhance the text....
Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The ...
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194,08 zł |
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An Introduction to Manifolds
ISBN: 9781441973993 / Angielski / Miękka / 410 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its...
Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, ...
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194,08 zł |
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The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity
ISBN: 9781441978370 / Angielski / Twarda / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeeman's characterization of the causal automorphisms of Minkowski spacetime, the Penrose theorem on the apparent shape of a relativistically moving sphere, a detailed introduction to the theory of spinors, a... This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the p... |
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329,96 zł |
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Introduction to Topological Manifolds
ISBN: 9781441979391 / Angielski / Twarda / 433 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an introduction to manifolds at the beginning graduate level, and accessible to any student who has completed a solid undergraduate degree in mathematics. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Although this second edition has the same basic structure as the first edition, it has been extensively revised and clarified; not a single page has been left untouched. The major changes include a new introduction to CW complexes... This book is an introduction to manifolds at the beginning graduate level, and accessible to any student who has completed a solid undergraduate de... |
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232,90 zł |
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The Hodge Theory of Projective Manifolds
ISBN: 9781860948008 / Angielski / Twarda / 116 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds. It assumes very little background and aims at describing how the theory becomes progressively richer and more beautiful as one specializes from Riemannian, to Kähler, to complex projective manifolds. Though the proof of the Hodge Theorem is omitted, its consequences — topological, geometrical and algebraic — are discussed at some length. The special properties of complex projective manifolds constitute an important body of knowledge and readers are guided through it...
This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds. It assumes very little background and ai...
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302,58 zł |
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Hamiltonian Systems and Celestial Mechanics (Hamsys-98) - Proceedings of the III International Symposium
ISBN: 9789810244637 / Angielski / Twarda / 370 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is an outgrowth of the Third International Symposium on Hamiltonian Systems and Celestial Mechanics. The main topics are Arnold diffusion, central configurations, singularities in few-body problems, billiards, area-preserving maps, and geometrical mechanics. All papers in the volume went through the refereeing process typical of a mathematical research journal.
This volume is an outgrowth of the Third International Symposium on Hamiltonian Systems and Celestial Mechanics. The main topics are Arnold diffusion,...
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709,51 zł |
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Introductory Lectures on Knot Theory: Selected Lectures Presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics
ISBN: 9789814307994 / Angielski / Twarda / 540 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into three-dimensional space. This is a classical topological problem and a special case of the general placement problem: Understanding the embeddings of a space X in another space Y. There have been exciting new developments in the area of knot theory and 3-manifold topology in the last 25 years. From the Jones,...
This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the...
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886,88 zł |
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Knots and Physics (Fourth Edition)
ISBN: 9789814383011 / Angielski / Miękka / 864 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas. The book is divided...
This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory...
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cena:
396,49 zł |
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Virtual Knots: The State of the Art
ISBN: 9789814401128 / Angielski / Twarda / 552 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Provides a comprehensive study of virtual knots and classical knots. This title presents the advanced achievements in virtual knot theory including Khovanov homology theory and parity theory due to V O Manturov and graph-link theory.
Provides a comprehensive study of virtual knots and classical knots. This title presents the advanced achievements in virtual knot theory including Kh...
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cena:
912,96 zł |
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