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A User's Guide to Spectral Sequences
ISBN: 9780521567596 / Angielski / Miękka / 578 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein...
Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examp...
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cena:
298,62 |
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Contact and Symplectic Geometry
ISBN: 9780521570862 / Angielski / Twarda / 332 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume presents a mix of substantial expository articles and research papers that outline important and topical ideas in the area of contact and symplectic geometry. Many of the results have not been presented before, and the lectures on Floer homology are the first available in book form. Symplectic methods are one of the most active areas of research in mathematics currently, and this volume will attract much attention among professional mathematicians.
This volume presents a mix of substantial expository articles and research papers that outline important and topical ideas in the area of contact and ...
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cena:
539,90 |
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Ends of Complexes
ISBN: 9780521576253 / Angielski / Twarda / 380 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The ends of a topological space are the directions in which it becomes noncompact by tending to infinity. The tame ends of manifolds are particularly interesting, both for their own sake, and for their use in the classification of high-dimensional compact manifolds. The book is devoted to the related theory and practice of ends, dealing with manifolds and CW complexes in topology and chain complexes in algebra. The first part develops a homotopy model of the behavior at infinity of a noncompact space. The second part studies tame ends in topology. The authors show tame ends to have a uniform...
The ends of a topological space are the directions in which it becomes noncompact by tending to infinity. The tame ends of manifolds are particularly ...
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cena:
628,06 |
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Elliptic Curves
ISBN: 9780521582285 / Angielski / Twarda / 298 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows a historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is...
The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book...
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cena:
516,69 |
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Explicit Birational Geometry of 3-Folds
ISBN: 9780521636414 / Angielski / Miękka / 356 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the main achievements of algebraic geometry over the past twenty years is the work of Mori and others extending minimal models and the Enriques-Kodaira classification to 3-folds. This integrated suite of papers centers around applications of Mori theory to birational geometry. Four of the papers (those by Pukhlikov, Fletcher, Corti, and the long joint paper by Corti, Pukhlikov and Reid) work out in detail the theory of birational rigidity of Fano 3-folds. These contributions work for the first time with a representative class of Fano varieties, 3-fold hypersurfaces in weighted...
One of the main achievements of algebraic geometry over the past twenty years is the work of Mori and others extending minimal models and the Enriques...
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cena:
368,21 |
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Elliptic Curves: Function Theory, Geometry, Arithmetic
ISBN: 9780521658171 / Angielski / Miękka / 298 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows a historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is...
The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book...
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cena:
261,50 |
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An Introduction to Noncommutative Differential Geometry and Its Physical Applications
ISBN: 9780521659918 / Angielski / Miękka / 380 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introduction to noncommutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fiber bundles is assumed, making this book accessible to graduate students...
This is an introduction to noncommutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is a...
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cena:
349,66 |
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Geometries on Surfaces
ISBN: 9780521660587 / Angielski / Twarda / 514 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One century after Hilbert constructed the first example of a non-classical affine plane, this book aims to summarize all the major results about geometries on surfaces. Acting both as a reference and a monograph, the authors have included detailed sections on what is known as well as outlining problems that remain to be solved. There are sections on classical geometries, methods for constructing non-classical geometries and classifications and characterizations of geometries. This work is related to a host of other fields including approximation, convexity, differential geometry topology and...
One century after Hilbert constructed the first example of a non-classical affine plane, this book aims to summarize all the major results about geome...
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cena:
688,37 |
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When Topology Meets Chemistry: A Topological Look at Molecular Chirality
ISBN: 9780521662543 / Angielski / Twarda / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The applications of topological techniques for understanding molecular structures have become increasingly important since the 1960s. In this topology text, the reader can learn about knot theory, 3-dimensional manifolds, and the topology of embedded graphs, while learning the role these play in understanding molecular structures. Most of the results that are described in the text are motivated by questions asked by chemists or molecular biologists, though the results themselves often go beyond answering the original question asked. There is no specific mathematical or chemical prerequisite;...
The applications of topological techniques for understanding molecular structures have become increasingly important since the 1960s. In this topology...
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cena:
516,69 |
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Surveys in Geometry and Number Theory: Reports on Contemporary Russian Mathematics
ISBN: 9780521691826 / Angielski / Miękka / 326 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The focus of this book is the continuing strength of pure mathematics in Russia after the post-Soviet diaspora. The authors are eight young specialists who are associated with strong research groups in Moscow and St. Petersburg in the fields of algebraic geometry and number theory. Their articles are based on lecture courses given at British universities. The articles are mainly surveys of the recent work of the research groups and contain a substantial number of original results. Topics covered are embeddings and projective duals of homogeneous spaces, formal groups, mirror duality, del...
The focus of this book is the continuing strength of pure mathematics in Russia after the post-Soviet diaspora. The authors are eight young specialist...
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cena:
431,06 |
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Spinning Tops
ISBN: 9780521779197 / Angielski / Miękka / 148 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies provided by classical mechanics. Many mathematicians have established a modern view of the role played by algebraic geometry in recent years. This book presents some of these modern techniques, which fall within the orbit of finite dimensional integrable systems. The main body of the text presents a rich assortment of methods and ideas from algebraic geometry prompted by classical mechanics, while in appendices the author describes general, abstract...
Since the time of Lagrange and Euler, it has been well known that an understanding of algebraic curves can illuminate the picture of rigid bodies prov...
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cena:
252,22 |
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Hodge Theory and Complex Algebraic Geometry I: Volume 1
ISBN: 9780521802604 / Angielski / Twarda / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions.
This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundle...
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cena:
600,21 |
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An Introduction to Invariants and Moduli
ISBN: 9780521809061 / Angielski / Twarda / 524 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Incorporated in this volume are the first two books in Mukai's series on Moduli Theory. The notion of a moduli space is central to geometry. However, its influence is not confined there; for example, the theory of moduli spaces is a crucial ingredient in the proof of Fermat's last theorem. Researchers and graduate students working in areas ranging from Donaldson or Seiberg-Witten invariants to more concrete problems such as vector bundles on curves will find this to be a valuable resource. Among other things this volume includes an improved presentation of the classical foundations of...
Incorporated in this volume are the first two books in Mukai's series on Moduli Theory. The notion of a moduli space is central to geometry. However, ...
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cena:
665,18 |
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Abstract Regular Polytopes
ISBN: 9780521814966 / Angielski / Twarda / 566 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. The rapid development of the subject in the past twenty years has resulted in a rich new theory featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. This is the first comprehensive, up-to-date account of the subject and its ramifications. It meets a critical need for such a text, because no book has been published in this area since Coxeter's "Regular Polytopes" (1948) and "Regular...
Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. The r...
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cena:
771,90 |
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Contact Geometry and Non-Linear Differential Equations
ISBN: 9780521824767 / Angielski / Twarda / 520 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Methods from contact and symplectic geometry can be used to solve highly non-trivial nonlinear partial and ordinary differential equations without resorting to approximate numerical methods or algebraic computing software. This book explains how it's done. It combines the clarity and accessibility of an advanced textbook with the completeness of an encyclopedia. The basic ideas that Lie and Cartan developed at the end of the nineteenth century to transform solving a differential equation into a problem in geometry or algebra are here reworked in a novel and modern way. Differential equations...
Methods from contact and symplectic geometry can be used to solve highly non-trivial nonlinear partial and ordinary differential equations without res...
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cena:
655,89 |
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A Sampler of Riemann-Finsler Geometry
ISBN: 9780521831819 / Angielski / Twarda / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. This book presents an expository account of seven important topics in Riemann-Finsler geometry, ones which have recently undergone significant development but have not had a detailed pedagogical treatment elsewhere. Each article will open the door to an active area of research, and is suitable for a special topics course in graduate-level differential geometry. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry, and parametrized...
Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. This book presents an expository acco...
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cena:
604,85 |
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The Geometry of Efficient Fair Division
ISBN: 9780521842488 / Angielski / Twarda / 472 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. What is the best way to divide a cake and allocate the pieces among some finite collection of players? In this book, the cake is a measure space, and each player uses a countably additive, non-atomic probability measure to evaluate the size of the pieces of cake, with different players generally using different measures. The author investigates efficiency properties (is there another partition that would make everyone at least as happy, and would make at least one player happier, than the present partition?) and fairness properties (do all players think that their piece is at least as large...
What is the best way to divide a cake and allocate the pieces among some finite collection of players? In this book, the cake is a measure space, and ...
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cena:
655,89 |
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Lectures on Kähler Geometry
ISBN: 9780521868914 / Angielski / Twarda / 182 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Kahler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-contained graduate text provides a concise and accessible introduction to the topic. The book begins with a review of basic differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. Kahler manifolds are discussed from the point of view of Riemannian geometry, and Hodge and Dolbeault theories are outlined, together with a simple proof of the famous Kahler identities. The final part of the text...
Kahler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-c...
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cena:
600,21 |
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Harmonic Maps and Minimal Immersions with Symmetries (Am-130), Volume 130: Methods of Ordinary Differential Equations Applied to Elliptic Variational
ISBN: 9780691102498 / Angielski / Miękka / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications. The material covered by the book displays a solid interplay involving geometry, analysis and topology: in... The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, t... |
cena:
465,29 |
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Computers, Rigidity, and Moduli: The Large-Scale Fractal Geometry of Riemannian Moduli Space
ISBN: 9780691118895 / Angielski / Twarda / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric complexity. He provides applications to the problem of closed geodesics, the theory of submanifolds, and the structure of the moduli space of isometry classes of Riemannian metrics with curvature bounds on a given manifold. Ultimately, geometric complexity of a moduli space forces functions defined on that... This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to expla... |
cena:
401,61 |
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