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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:
249,71 |
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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:
594,16 |
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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:
658,47 |
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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:
764,10 |
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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:
649,28 |
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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:
598,76 |
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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:
649,28 |
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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:
594,16 |
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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:
460,55 |
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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:
397,52 |
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Algebraic K-Theory: Connections with Geometry and Topology
ISBN: 9780792302926 / Angielski / Twarda / 550 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A NATO Advanced Study Institute entitled "Algebraic K-theory: Connections with Geometry and Topology" was held at the Chateau Lake Louise, Lake Louise, Alberta, Canada from December 7 to December 11 of 1987. This meeting was jointly supported by NATO and the Natural Sciences and Engineering Research Council of Canada, and was sponsored in part by the Canadian Mathematical Society. This book is the volume of proceedings for that meeting. Algebraic K-theory is essentially the study of homotopy invariants arising from rings and their associated matrix groups. More importantly perhaps, the...
A NATO Advanced Study Institute entitled "Algebraic K-theory: Connections with Geometry and Topology" was held at the Chateau Lake Louise, Lake Louise...
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cena:
1325,32 |
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Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions
ISBN: 9780792314936 / Angielski / Twarda / 634 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Onc service malhemalics has rendered Ihe "Et moil ... si ravait au oomment en revcnir. je n'y serais point aU': ' human race. It has put common sense back whcre it belongs, on the topmost shelf next Iules Verne to the dUlty canister IabeUed 'discarded n- sense'. The series is divergent; therefore we may be Eric T. BeU able to do something with it. O. H eaviside Mathematics is a tool for thought, A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple...
Onc service malhemalics has rendered Ihe "Et moil ... si ravait au oomment en revcnir. je n'y serais point aU': ' human race. It has put common sense ...
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cena:
923,70 |
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Topological Function Spaces
ISBN: 9780792315315 / Angielski / Twarda / 205 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One service mathematics has rendered the 'Et moi, "0' si j'avait su oomment en revenir. human race. It has put common sense back je n'y serais point aile: ' Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a...
One service mathematics has rendered the 'Et moi, "0' si j'avait su oomment en revenir. human race. It has put common sense back je n'y serais point a...
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cena:
200,77 |
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Introduction to Differential and Algebraic Topology
ISBN: 9780792334996 / Angielski / Twarda / 493 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the temporary state of these disciplines without involving topological concepts. Therefore, it is essential to acquaint students with topo logical research methods already in the first university courses. This textbook is one possible version of an introductory course in topo logy and elements of differential geometry, and it absolutely reflects...
Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geome...
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cena:
341,34 |
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Quantum Reprogramming: Ensembles and Single Systems: A Two-Tier Approach to Quantum Mechanics
ISBN: 9780792335658 / Angielski / Twarda / 322 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle; fewer present the subject matter as an instrument for treating ensembles, but the two methods have been silently coexisting since the mid-Thirties. This lingering dichotomy of purpose for a major physical discipline has much shrouded further insights into the foundations of quantum theory.
Quantum Reprogramming resolves this long-standing dichotomy by examining the mutual relation between single systems and ensembles, assigning each its own tools for treating the subject at hand: i.e.,... Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle; fewer present the subject matter as an instrument for tre...
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cena:
602,40 |
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A User's Guide to Algebraic Topology
ISBN: 9780792342939 / Angielski / Miękka / 410 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. We have tried to design this book for both instructional and reference use, during and after a first course in algebraic topology aimed at users rather than developers; indeed, the book arose from such courses taught by the authors. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. A certain amount of redundancy is built in for the reader's convenience: we hope to minimize: fiipping back and forth, and we have provided some appendices for reference. The first three are concerned with background...
We have tried to design this book for both instructional and reference use, during and after a first course in algebraic topology aimed at users rathe...
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cena:
522,07 |
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Set Theory: Techniques and Applications Curaçao 1995 and Barcelona 1996 Conferences
ISBN: 9780792349051 / Angielski / Twarda / 226 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. During the past 25 years, set theory has developed in several interesting directions. The most outstanding results cover the application of sophisticated techniques to problems in analysis, topology, infinitary combinatorics and other areas of mathematics. This book contains a selection of contributions, some of which are expository in nature, embracing various aspects of the latest developments. Amongst topics treated are forcing axioms and their applications, combinatorial principles used to construct models, and a variety of other set theoretical tools including inner models, partitions...
During the past 25 years, set theory has developed in several interesting directions. The most outstanding results cover the application of sophistica...
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cena:
401,58 |
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Exercises in Basic Ring Theory
ISBN: 9780792349181 / Angielski / Twarda / 200 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory." This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid...
Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins wi...
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cena:
200,77 |
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Minimax Theory and Applications
ISBN: 9780792350644 / Angielski / Twarda / 274 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present volume contains the proceedings of the workshop on "Minimax Theory and Applications" that was held during the week 30 September - 6 October 1996 at the "G. Stampacchia" International School of Mathematics of the "E. Majorana" Centre for Scientific Cul- ture in Erice (Italy) . The main theme of the workshop was minimax theory in its most classical meaning. That is to say, given a real-valued function f on a product space X x Y, one tries to find conditions that ensure the validity of the equality sup inf f(x, y) = inf sup f(x, y). yEY xEX xEX yEY This is not an appropriate place to...
The present volume contains the proceedings of the workshop on "Minimax Theory and Applications" that was held during the week 30 September - 6 Octobe...
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cena:
401,58 |
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New Developments in Differential Geometry, Budapest 1996: Proceedings of the Conference on Differential Geometry, Budapest, Hungary, July 27-30, 1996
ISBN: 9780792353072 / Angielski / Twarda / 519 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In succesion to former international meetings on differential geometry held in Hungary and also as a satellite conference of ECM96, the European Mathematical Congress, a Conference on Differential Geometry took place in Budapest from July 27 to July 30, 1996. The host of the Conference was Lorand Eotvos University. The Conference had the following Programme Committee: D.V. Alekseevsky, J.J. Duistermaat, J. Eells, A. Haefliger, O. Kowalski, S. Marchifava, J. Szenthe, L. Tamassy, L. Vanhecke. The participants came mainly from Europe and their total number was 190. The programme included plenary...
In succesion to former international meetings on differential geometry held in Hungary and also as a satellite conference of ECM96, the European Mathe...
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cena:
401,58 |
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