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Groups: A Path to Geometry
ISBN: 9780521347938 / Angielski / Miękka / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questions that will enable the reader, through participation, to study all the group theory covered by a conventional first university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the study of Mobius transformations and stereographic projection, are also included. Quaternions and their relationships to 3-dimensional isometries are covered, and the climax of the book...
Following the same successful approach as Dr. Burn's previous book on number theory, this text consists of a carefully constructed sequence of questio...
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cena:
224,37 |
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Automorphisms of Surfaces After Nielsen and Thurston
ISBN: 9780521349857 / Angielski / Miękka / 112 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book, which grew out of Steven Bleiler's lecture notes from a course given by Andrew Casson at the University of Texas, is designed to serve as an introduction to the applications of hyperbolic geometry to low dimensional topology. In particular it provides a concise exposition of the work of Neilsen and Thurston on the automorphisms of surfaces. The reader requires only an understanding of basic topology and linear algebra, while the early chapters on hyperbolic geometry and geometric structures on surfaces can profitably be read by anyone with a knowledge of standard Euclidean geometry...
This book, which grew out of Steven Bleiler's lecture notes from a course given by Andrew Casson at the University of Texas, is designed to serve as a...
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cena:
173,33 |
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Cohomological Methods in Transformation Groups
ISBN: 9780521350228 / Angielski / Twarda / 484 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the large and thriving field of compact transformation groups an important role has long been played by cohomological methods. This book aims to give a contemporary account of such methods, in particular the applications of ordinary cohomology theory and rational homotopy theory with principal emphasis on actions of tori and elementary abelian p-groups on finite-dimensional spaces. For example, spectral sequences are not used in Chapter 1, where the approach is by means of cochain complexes; and much of the basic theory of cochain complexes needed for this chapter is outlined in an...
In the large and thriving field of compact transformation groups an important role has long been played by cohomological methods. This book aims to gi...
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cena:
688,37 |
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The Geometry and Physics of Knots
ISBN: 9780521395540 / Angielski / Miękka / 108 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Deals with an area of research that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area.
Deals with an area of research that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering w...
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cena:
154,78 |
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Kummer's Quartic Surface
ISBN: 9780521397902 / Angielski / Miękka / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of surfaces has reached a certain stage of completeness and major efforts concentrate on solving concrete questions rather than further developing the formal theory. Many of these questions are touched on in this classic volume: such as the classification of quartic surfaces, the description of moduli spaces for abelian surfaces, and the automorphism group of a Kummer surface. First printed in 1905 after the untimely death of the author, this work has stood for most of this century as one of the classic reference works in geometry.
The theory of surfaces has reached a certain stage of completeness and major efforts concentrate on solving concrete questions rather than further dev...
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cena:
247,58 |
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Geometry of Low-Dimensional Manifolds: 2: Symplectic Manifolds and Jones-Witten Theory
ISBN: 9780521400015 / Angielski / Miękka / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics) interact.
These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has ...
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cena:
331,10 |
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Complex Polynomials
ISBN: 9780521400688 / Angielski / Twarda / 452 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Complex Polynomials explores the geometric theory of polynomials and rational functions in the plane. Early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology, and analysis. Throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems. Several solutions to problems are given, including a comprehensive account of the geometric convolution theory.
Complex Polynomials explores the geometric theory of polynomials and rational functions in the plane. Early chapters build the foundations of complex ...
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cena:
688,37 |
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Minkowski Geometry
ISBN: 9780521404723 / Angielski / Twarda / 368 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a comprehensive treatment of Minkowski geometry. The author begins by describing the fundamental metric properties and the topological properties of existence of Minkowski space. This is followed by a treatment of two-dimensional spaces and characterizations of Euclidean space among normed spaces. The central three chapters present the theory of area and volume in normed spaces--a fascinating geometrical interplay among the various roles of the ball in Euclidean space. Later chapters deal with trigonometry and differential geometry in Minkowski spaces. The book ends with a brief look...
This is a comprehensive treatment of Minkowski geometry. The author begins by describing the fundamental metric properties and the topological propert...
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cena:
628,06 |
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Curves and Singularities
ISBN: 9780521419857 / Angielski / Twarda / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The differential geometry of curves and surfaces in Euclidean space has fascinated mathematicians since the time of Newton. Here the authors take a novel approach by casting the theory into a new light, that of singularity theory. The second edition of this successful textbook has been thoroughly revised throughout and includes a multitude of new exercises and examples. A new final chapter has been added that covers recently developed techniques in the classification of functions of several variables, a subject central to many applications of singularity theory. Also in this second edition...
The differential geometry of curves and surfaces in Euclidean space has fascinated mathematicians since the time of Newton. Here the authors take a no...
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cena:
586,30 |
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Complex Algebraic Curves
ISBN: 9780521423533 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.
This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properti...
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cena:
247,58 |
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Manifolds with Singularities and the Adams-Novikov Spectral Sequence
ISBN: 9780521426084 / Angielski / Miękka / 200 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Traditionally, the Adams-Novikov spectral sequence has been a tool that has enabled the computation of generators and relations to describe homotopy groups. Here a natural geometric description of the sequence is given in terms of cobordism theory and manifolds with singularities. The author brings together many interesting results not widely known outside the USSR, including some recent work by Vershinin.
Traditionally, the Adams-Novikov spectral sequence has been a tool that has enabled the computation of generators and relations to describe homotopy g...
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cena:
229,29 |
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Algebraic Varieties
ISBN: 9780521426138 / Angielski / Miękka / 176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book Professor Kempf gives an introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint. By taking this view he is able to give a clean and lucid account of the subject which will be easily accessible to all newcomers to algebraic varieties, graduate students or experts from other fields alike. Anyone who goes on to study schemes will find that this book is an ideal preparatory text.
In this book Professor Kempf gives an introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint. By taking this...
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cena:
270,77 |
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Curves and Singularities: A Geometrical Introduction to Singularity Theory
ISBN: 9780521429993 / Angielski / Miękka / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The differential geometry of curves and surfaces in Euclidean space has fascinated mathematicians since the time of Newton. Here the authors take a novel approach by casting the theory into a new light, that of singularity theory. The second edition of this successful textbook has been thoroughly revised throughout and includes a multitude of new exercises and examples. A new final chapter has been added that covers recently developed techniques in the classification of functions of several variables, a subject central to many applications of singularity theory. Also in this second edition...
The differential geometry of curves and surfaces in Euclidean space has fascinated mathematicians since the time of Newton. Here the authors take a no...
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cena:
280,06 |
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Complex Projective Geometry: Selected Papers
ISBN: 9780521433525 / Angielski / Miękka / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embeddings. New methods have been developed for questions such as: What is the geometric content of syzygies and of bundles derived from them? How can they be used for giving good compactifications of natural families? Which differential techniques are needed for the study of families of projective varieties? These questions are addressed in this cohesive volume, where results, work in progress, conjectures, and modern accounts of classical ideas are presented.
Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embeddings. New methods have been dev...
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cena:
335,74 |
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Lower K-& L-Theory
ISBN: 9780521438018 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first treatment in book form of the applications of the lower K- and L-groups (which are the components of the Grothendieck groups of modules and quadratic forms over polynomial extension rings) to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions. The author uses only elementary constructions and gives a full algebraic account of the groups involved; of particular note is an algebraic treatment of geometric transversality for maps to the circle.
This is the first treatment in book form of the applications of the lower K- and L-groups (which are the components of the Grothendieck groups of modu...
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cena:
252,21 |
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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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cena:
521,34 |
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Two-Dimensional Homotopy and Combinatorial Group Theory
ISBN: 9780521447003 / Angielski / Miękka / 428 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The geometric and algebraic aspects of two-dimensional homotopy theory are both important areas of current research. Basic work on two-dimensional homotopy theory dates back to Reidemeister and Whitehead. The contributors to this book consider the current state of research beginning with introductory chapters on low-dimensional topology and covering crossmodules, Peiffer-Reid identities, and concretely discussing P2 theory. The chapters have been skillfully woven together to form a coherent picture, and the geometric nature of the subject is illustrated by over 100 diagrams. The final...
The geometric and algebraic aspects of two-dimensional homotopy theory are both important areas of current research. Basic work on two-dimensional hom...
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cena:
317,17 |
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Finite Geometry and Combinatorics
ISBN: 9780521448505 / Angielski / Miękka / 424 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a collection of thirty-five articles, covering topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram geometries, and polar spaces. Contained here are articles from many of the leading practitioners in the field including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results and the growing use of computer algebra packages in this area is also demonstrated.
This is a collection of thirty-five articles, covering topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram...
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cena:
317,17 |
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The Geometry of Total Curvature on Complete Open Surfaces
ISBN: 9780521450546 / Angielski / Twarda / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral geometry. The authors explore the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, although their work can be extended to more general spaces. Each chapter features open problems, making the volume a suitable learning aid for graduate students and non-specialists who seek an introduction to this modern area of differential geometry.
This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral ge...
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cena:
539,90 |
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Methods of Algebraic Geometry: Volume 3
ISBN: 9780521467759 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the third volume, the authors discuss algebraic varieties on a ground field without characteristic, and deal with more advanced geometrical methods, such as valuation theory.
In the third volume, the authors discuss algebraic varieties on a ground field without characteristic, and deal with more advanced geometrical methods...
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cena:
335,74 |
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