Noncommutative Geometry
ISBN: 9780121858605 / Angielski / Twarda / 661 str. Termin realizacji zamówienia: ok. 2225 dni roboczych. 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:
253,87 zł 
Hyperbolic Manifolds and Kleinian Groups
ISBN: 9780198500629 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 22 dni roboczych. 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:
1121,61 zł 
Algebraic Geometry and Arithmetic Curves
ISBN: 9780198502845 / Angielski / Twarda / 592 str. Termin realizacji zamówienia: ok. 22 dni roboczych. 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:
843,05 zł 
Compact Manifolds with Special Holonomy
ISBN: 9780198506010 / Angielski / Twarda / 436 str. Termin realizacji zamówienia: ok. 22 dni roboczych. 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:
954,47 zł 
Geometry Ancient and Modern
ISBN: 9780198507581 / Angielski / Twarda / 328 str. Termin realizacji zamówienia: ok. 22 dni roboczych. 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:
1177,32 zł 
Geometry Ancient and Modern
ISBN: 9780198508250 / Angielski / Miękka / 328 str. Termin realizacji zamówienia: ok. 22 dni roboczych. 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:
464,19 zł 
Groups  Modular Mathematics Series
ISBN: 9780340610459 / Angielski / Miękka / 224 str. Termin realizacji zamówienia: ok. 2225 dni roboczych. 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:
198,24 zł 
Convex Polytopes
ISBN: 9780387004242 / Angielski / Twarda / 471 str. Termin realizacji zamówienia: ok. 30 dni roboczych. "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:
410,71 zł 
Advanced Topics in the Arithmetic of Elliptic Curves
ISBN: 9780387943282 / Angielski / Miękka / 528 str. Termin realizacji zamówienia: ok. 30 dni roboczych. 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:
220,68 zł 
Discovering Curves and Surfaces with Maple(r)
ISBN: 9780387948904 / Angielski / Mixed media product / 217 str. Termin realizacji zamówienia: ok. 30 dni roboczych. 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:
292,06 zł 
Elliptic Curves
ISBN: 9780387954905 / Angielski / Twarda / 490 str. Termin realizacji zamówienia: ok. 30 dni roboczych. 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:
386,98 zł 
Singularities and Topology of Hypersurfaces
ISBN: 9780387977096 / Angielski / Miękka / 263 str. Termin realizacji zamówienia: ok. 30 dni roboczych. From the very beginning, algebraic topology has developed under the influ ence of the problems posed by trying to understand the topological properties of complex algebraic varieties (e.g., the pioneering work by Poincare and Lefschetz). Especially in the work of Lefschetz Lf2], the idea is made explicit that singularities are important in the study of the topology even in the case of smooth varieties. What is known nowadays about the topology of smooth and singular vari eties is quite impressive. The many existing results may be roughly divided into two classes as follows: (i) very general...
From the very beginning, algebraic topology has developed under the influ ence of the problems posed by trying to understand the topological propertie...


cena:
292,06 zł 
Rational Points on Elliptic Curves
ISBN: 9780387978253 / Angielski / Twarda / 281 str. Termin realizacji zamówienia: ok. 30 dni roboczych. In 1961 the second author deliv1lred a series of lectures at Haverford Col lege on the subject of "Rational Points on Cubic Curves. " These lectures, intended for junior and senior mathematics majors, were recorded, tran scribed, and printed in mimeograph form. Since that time they have been widely distributed as photocopies of ever decreasing legibility, and por tions have appeared in various textbooks (Husemoller 1], Chahal 1]), but they have never appeared in their entirety. In view of the recent inter est in the theory of elliptic curves for subjects ranging from cryptogra phy...
In 1961 the second author deliv1lred a series of lectures at Haverford Col lege on the subject of "Rational Points on Cubic Curves. " These lectures,...


cena:
182,71 zł 
Power Geometry in Algebraic and Differential Equations
ISBN: 9780444502971 / Angielski / Twarda / 396 str. Termin realizacji zamówienia: ok. 2225 dni roboczych. The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed.
The algorithms form a new calculus which allows to make local and asymptotical analysis of solutions to those systems. The efficiency of the calculus is demonstrated with regard to several complicated problems from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics.... The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the ...


cena:
451,15 zł 
Principles of Algebraic Geometry
ISBN: 9780471050599 / Angielski / Miękka / 832 str. Termin realizacji zamówienia: ok. 1618 dni roboczych. Changes in algebraic geometry have made the subject increasingly inaccessible to all but specialists in the field. This comprehensive, selfcontained monograph presents some of the main, general results of the theory accompanied by, and with emphasis on, their applications to the study of interesting examples and to the development of computational tools. The effective utilization of the techniques of elementary complex analysis and topology synthesize the classical and the modern into a cohesive presentation.
Changes in algebraic geometry have made the subject increasingly inaccessible to all but specialists in the field. This comprehensive, selfcontained ...


cena:
662,22 zł 
Algebraic Geometry
ISBN: 9780486446110 / Angielski / Miękka / 233 str. Termin realizacji zamówienia: ok. 916 dni roboczych. This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts  the analyticaltopological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra.
The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field,... This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts  the analyticaltopol...


cena:
60,54 zł 
Compactification of Siegel Moduli Schemes
ISBN: 9780521312530 / Angielski / Miękka / 344 str. Termin realizacji zamówienia: ok. 22 dni roboczych. The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic algebraic geometry. The main result of this monograph is to prove the existence of the toroidal compactification over Z (1/2). This result should have further applications and is presented here with sufficient background material to make the book suitable for seminar courses in algebraic geometry, algebraic number theory or automorphic forms.
The Siegel moduli scheme classifies principally polarised abelian varieties and its compactification is an important result in arithmetic algebraic ge...


cena:
370,19 zł 
Complex Functions : An Algebraic and Geometric Viewpoint
ISBN: 9780521313667 / Angielski / Miękka / 360 str. Termin realizacji zamówienia: ok. 22 dni roboczych. Elliptic functions and Riemann surfaces played an important role in nineteenthcentury mathematics. At the present time there is a great revival of interest in these topics not only for their own sake but also because of their applications to so many areas of mathematical research from group theory and number theory to topology and differential equations. In this book the authors give elementary accounts of many aspects of classical complex function theory including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. A distinctive feature of...
Elliptic functions and Riemann surfaces played an important role in nineteenthcentury mathematics. At the present time there is a great revival of in...


cena:
503,81 zł 
Geometry and Interpolation of Curves and Surfaces
ISBN: 9780521321532 / Angielski / Twarda / 430 str. Termin realizacji zamówienia: ok. 916 dni roboczych. This text takes a practical, stepbystep approach to algebraic curves and surface interpolation motivated by the understanding of the many applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. The authors start with simple interpolation, including splines, and extend this in an intuitive fashion to the production of conic...
This text takes a practical, stepbystep approach to algebraic curves and surface interpolation motivated by the understanding of the many applicatio...


cena:
663,80 zł 
Undergraduate Algebraic Geometry
ISBN: 9780521356626 / Angielski / Miękka / 140 str. Termin realizacji zamówienia: ok. 22 dni roboczych. Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. With the minimum of prerequisites, Dr. Reid introduces the reader to the basic concepts of algebraic geometry, including: plane conics, cubics and the group law, affine and projective varieties, and nonsingularity and dimension. He stresses the connections the subject has with commutative algebra as well as its relation to topology, differential geometry, and number theory. The book contains numerous examples and exercises illustrating the theory.
Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. With the minimum of pr...


cena:
180,96 zł 