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Noncommutative Geometry
ISBN: 9780121858605 / Angielski / Twarda / 661 str. This English version of the pathbreaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields.
This English version of the pathbreaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, ...


cena:
270,85 zł 
Hyperbolic Menifolds and Kleinian Groups
ISBN: 9780198500629 / Angielski / Twarda / 264 str. A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3space, which is also regarded as a subgroup of Mobius transformations in the complex plane. The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex analysis. After 1960, Ahlfors and Bers produced important work which helped make Kleinian groups an active area of complex analysis as a branch of Teichmuller theory. Later, Thurston brought about a revolution in the field with his profound investigation of hyperbolic manifolds, and Sullivan...
A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3space, which is also regarded as a subgroup of Mobius transformations in...


cena:
1158,78 zł 
Algebraic Geometry and Arithmetic Curves
ISBN: 9780198502845 / Angielski / Twarda / 592 str. This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and grothendieck's duality theory. The first part ends with the theorem of RiemannRoch and its...
This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebr...


cena:
870,66 zł 
Compact Manifolds with Special Holonomy
ISBN: 9780198506010 / Angielski / Twarda / 436 str. The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (CalabiYau manifolds) and Sp(m) (hyperkahler manifolds). These are constructed and studied using complex algebraic geometry. The second half of the book is devoted to constructions of compact 7 and 8manifolds with the exceptional holonomy groups 92 and Spin(7). Many new examples are given, and their Betti numbers calculated. The first known examples of...
The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kahler geometry. Then the Calabi conje...


cena:
985,91 zł 
Geometry: Ancient and Modern
ISBN: 9780198507581 / Angielski / Twarda / 328 str. This text is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other branches of mathematics. It is a teaching text, with a large number of exercises woven into the exposition. Topics covered include: ruler and compass constructions; transformations; triangle and circle theorems; classification of isometries and groups of isometries in dimensions 2 and Platonic solids; conics; similarities; affine; projective and Mobius transformations; nonEuclidean geometry; projective...
This text is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle p...


cena:
1216,40 zł 
Geometry: Ancient and Modern
ISBN: 9780198508250 / Angielski / Miękka / 328 str. This text is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other branches of mathematics. It is a teaching text, with a large number of exercises woven into the exposition. Topics covered include: ruler and compass constructions; transformations; triangle and circle theorems; classification of isometries and groups of isometries in dimensions 2 and Platonic solids; conics; similarities; affine; projective and Mobius transformations; nonEuclidean geometry; projective...
This text is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle p...


cena:
478,82 zł 
Complex Analysis and Geometry
ISBN: 9780306441790 / Angielski / Twarda / 412 str. When we studied complex variables in the late 1960s, modem geometry on the complex fie1d and complex function theory were identified in teaching and research as several complex variables. A beginner in the field at that time would have the experience of jumping from the sheaftheoretical methods employed in the theory of analytic spaces to the P.D.E. methods of the a problem, with the c1ear understanding that the phenomena lying behind such different methods and problems were the same. A few years later, new important discoveries made c1ear that complex differential geometry was also in the...
When we studied complex variables in the late 1960s, modem geometry on the complex fie1d and complex function theory were identified in teaching and r...


cena:
732,02 zł 
Groups  Modular Mathematics Series
ISBN: 9780340610459 / Angielski / Miękka / 224 str. This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures arising from symmetry in geometrical figures and other mathematical objects. Written in a 'userfriendly' style, where new ideas are always motivated before being fully introduced, the text will help readers to gain confidence and skill in handling group theory notation before progressing on to applying it in complex situations. An ideal companion to any first or second year course on the topic.
This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures ar...


cena:
212,64 zł 
Convex Polytopes
ISBN: 9780387004242 / Angielski / Twarda / 471 str. "The original edition ...] inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again." Peter McMullen, University College London
"The original edition ...] inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subs... 

cena:
391,82 zł 
Using Algebraic Geometry
ISBN: 9780387207339 / Angielski / Miękka / 575 str. In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Grobner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more...
In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computer...


173,23 zł 
Selected Papers: On the Classification of Varieties and Moduli Spaces
ISBN: 9780387210926 / Angielski / Twarda / 795 str. Mumford is a wellknown mathematician and winner of the Fields Medal, the highest honor available in mathematics. Many of these papers are currently unavailable, and the commentaries by Gieseker, Lange, Viehweg and Kempf are being published here for the first time. Mumford is a wellknown mathematician and winner of the Fields Medal, the highest honor available in mathematics. Many of these papers are c... 

cena:
550,58 zł 
Ramanujan's Lost Notebook: Part I
ISBN: 9780387255293 / Angielski / Twarda / 438 str. In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. The "lost notebook" contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life.... In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of ... 

252,61 zł 
Conics and Cubics: A Concrete Introduction to Algebraic Curves
ISBN: 9780387318028 / Angielski / Twarda / 346 str. Conics and Cubics is an accessible introduction to algebraic curves. Its focus on curves of degree at most three keeps results tangible and proofs transparent. Theorems follow naturally from high school algebra and two key ideas, homogeneous coordinates and intersection multiplicities. By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezout's Theorem on the number of intersections of two curves. The book is a text for a... Conics and Cubics is an accessible introduction to algebraic curves. Its focus on curves of degree at most three keeps results tangible and proofs ... 

139,21 zł 
Foundations of Hyperbolic Manifolds
ISBN: 9780387331973 / Angielski / Twarda / 779 str. This heavily classtested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is... This heavily classtested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A ... 

127,77 zł 
Selected Papers, Volume II: On Algebraic Geometry, Including Correspondence with Grothendieck
ISBN: 9780387724911 / Angielski / Twarda / 767 str. Mumford is a wellknown mathematician and winner of the Fields Medal, the highest honor available in mathematics Many of these papers are currently unavailable, and the correspondence with Grothendieck has never before been published Mumford is a wellknown mathematician and winner of the Fields Medal, the highest honor available in mathematics Many of these papers are cu... 

cena:
732,02 zł 
Linear Geometry
ISBN: 9780387902272 / Angielski / Twarda / 199 str. This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. The material is suitable for a course on linear algebra for mathe matics majors at North American Universities in their junior or senior year and at British Universities in their second or third year. However, in view of the structure of undergraduate courses in the United States, it is very possible that, at many institutions, the text may be found more suitable at the beginning graduate level. The book has two aims: to provide a basic...
This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject...


cena:
278,42 zł 
Advanced Topics in the Arithmetic of Elliptic Curves
ISBN: 9780387943282 / Angielski / Miękka / 528 str. In the introduction to the first volume of The Arithmetic of Elliptic Curves (SpringerVerlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make...
In the introduction to the first volume of The Arithmetic of Elliptic Curves (SpringerVerlag, 1986), I observed that "the theory of elliptic curves i...


cena:
210,19 zł 
Discovering Curves and Surfaces with Maple(r)
ISBN: 9780387948904 / Angielski / Twarda / 217 str. Despite the fact that Maple V has become one of the most popular computer algebra systems on the market, surprisingly few users realize its potential in the field of scientific visualization. The purpose of this book is to equip the reader with a variety of graphics tools needed on the voyage of discovery into the complex and often beautiful world of curves and surfaces. A comprehensive treatment of Maple's graphics commands and structures is combined with an introduction to the main aspects of visual perception. Top priority is given to the use of light, color, perspective, and geometric...
Despite the fact that Maple V has become one of the most popular computer algebra systems on the market, surprisingly few users realize its potential ...


cena:
278,42 zł 
HigherDimensional Algebraic Geometry
ISBN: 9780387952277 / Angielski / Twarda / 234 str. Higherdimensional algebraic geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The authors goal is to provide an easily accessible introduction to the subject. The book covers preparatory and standard definitions and results, moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Moris minimal model program of classification of algebraic...
Higherdimensional algebraic geometry studies the classification theory of algebraic varieties. This very active area of research is still developing,...


cena:
323,78 zł 
Elliptic Curves
ISBN: 9780387954905 / Angielski / Twarda / 490 str. There are three new appendices, one by Stefan Theisen on the role of Calabi Yau manifolds in string theory and one by Otto Forster on the use of elliptic curves in computing theory and coding theory. In the third appendix we discuss the role of elliptic curves in homotopy theory. In these three introductions the reader can get a clue to the farreaching implications of the theory of elliptic curves in mathematical sciences. During the ?nal production of this edition, the ICM 2002 manuscript of Mike Hopkins became available. This report outlines the role of elliptic curves in ho topy theory....
There are three new appendices, one by Stefan Theisen on the role of Calabi Yau manifolds in string theory and one by Otto Forster on the use of elli...


cena:
369,14 zł 