Point Set Theory
ISBN: 9780367450946 / Miękka / 296 str. Termin realizacji zamówienia: ok. 20 dni roboczych. Investigations by Baire, Lebesgue, Hausdorff, Marczewski, and othes have culminated invarious schemes for classifying point sets. This important reference/text bringstogether in a single theoretical framework the properties common to these classifications.Providing a clear, thorough overview and analysis of the field, Point Set Theoryutilizes the axiomatically determined notion of a category base for extending generaltopological theorems to a higher level of abstraction ... axiomatically unifies analogiesbetween Baire category and Lebesgue measure . .. enhances understanding of thematerial...
Investigations by Baire, Lebesgue, Hausdorff, Marczewski, and othes have culminated invarious schemes for classifying point sets. This important refer...


cena:
298,40 zł 
A Study in Derived Algebraic Geometry: Volume I: Correspondences and Duality
ISBN: 9781470452841 Termin realizacji zamówienia: ok. 2530 dni roboczych. Derived algebraic geometry is a farreaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prominently in representation theory. This volume develops the theory of indcoherent sheaves in the context of derived algebraic geometry. Indcoherent sheaves are a "renormalization" of quasicoherent sheaves and provide a natural setting for GrothendieckSerre duality as well as geometric incarnations of numerous categories of interest in representation theory. This volume consists of three parts and an appendix. The first part is a...
Derived algebraic geometry is a farreaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics,...


cena:
456,52 zł 
Periods of Quaternionic Shimura Varieties. I.
ISBN: 9781470448943 Termin realizacji zamówienia: ok. 2530 dni roboczych. This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura's algebraicity conjectures on these periods. It also provides a strategy to attack this conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have applications to other problems related to periods, such as the BlochBeilinson conjecture about special values of $L$functions and constructing geometric realizations of...
This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura'...


cena:
586,95 zł 
The Cremona Group and Its Subgroups
ISBN: 9781470460129 Termin realizacji zamówienia: ok. 2530 dni roboczych. The goal of this book is to present a portrait of the $n$dimensional Cremona group with an emphasis on the 2dimensional case. After recalling some crucial tools, the book describes a naturally defined infinite dimensional hyperbolic space on which the Cremona group acts. This space plays a fundamental role in the study of Cremona groups, as it allows one to apply tools from geometric group theory to explore properties of the subgroups of the Cremona group as well as the degree growth and dynamical behavior of birational transformations. The book describes natural topologies on the...
The goal of this book is to present a portrait of the $n$dimensional Cremona group with an emphasis on the 2dimensional case. After recalling some c...


cena:
605,59 zł 
Geometric Modeling with Splines: An Introduction
ISBN: 9780367447243 / Miękka / 638 str. Termin realizacji zamówienia: ok. 20 dni roboczych. Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present all of the necessary techniques for curve and surface representations in computeraided modeling with a focus on how the techniques are used in design. They achieve a balance between mathematical rigor and broad applicability. Appropriate for readers with a moderate degree of mathematical maturity, this book is suitable as an undergraduate or graduate text, or particularly as a resource for selfstudy.
Written by researchers who have helped found and shape the field, this book is a definitive introduction to geometric modeling. The authors present al...


cena:
309,25 zł 
Geometry Of The Octonions, The
ISBN: 9789811218187 / Miękka / 228 str. Termin realizacji zamówienia: ok. 2530 dni roboczych. There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact, all (continuous) symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on their geometric structure. Elementary applications covered include the rotation groups and their spacetime generalization, the Lorentz group, as well as the eigenvalue problem for Hermitian matrices. In addition, more...
There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally ...


cena:
217,06 zł 
Normal Partitions and Hierarchical Fillings of NDimensional Spaces
ISBN: 9781799867692 / Miękka / 296 str. Termin realizacji zamówienia: ok. 2530 dni roboczych. In the study of the structure of substances in recent decades, phenomena in the higher dimension was discovered that was previously unknown. These include spontaneous zooming (scaling processes), discovery of crystals with the absence of translational symmetry in threedimensional space, detection of the fractal nature of matter, hierarchical filling of space with polytopes of higher dimension, and the highest dimension of most molecules of chemical compounds. This forces research to expand the formulation of the question of constructing ndimensional spaces, posed by David Hilbert in 1900,...
In the study of the structure of substances in recent decades, phenomena in the higher dimension was discovered that was previously unknown. These inc...


cena:
722,04 zł 
Normal Partitions and Hierarchical Fillings of NDimensional Spaces
ISBN: 9781799867685 / Twarda / 340 str. Termin realizacji zamówienia: ok. 2530 dni roboczych. In the study of the structure of substances in recent decades, phenomena in the higher dimension was discovered that was previously unknown. These include spontaneous zooming (scaling processes), discovery of crystals with the absence of translational symmetry in threedimensional space, detection of the fractal nature of matter, hierarchical filling of space with polytopes of higher dimension, and the highest dimension of most molecules of chemical compounds. This forces research to expand the formulation of the question of constructing ndimensional spaces, posed by David Hilbert in 1900,...
In the study of the structure of substances in recent decades, phenomena in the higher dimension was discovered that was previously unknown. These inc...


cena:
936,33 zł 
Positive Polynomials and Sums of Squares
ISBN: 9780821844021 / Twarda / 187 str. Termin realizacji zamówienia: ok. 2530 dni roboczych. The study of positive polynomials brings together algebra, geometry and analysis. The subject is of fundamental importance in real algebraic geometry, when studying the properties of objects defined by polynomial inequalities. Hilbert's 17th problem and its solution in the first half of the 20th century were landmarks in the early days of the subject. More recently, new connections to the moment problem and to polynomial optimization have been discovered. The moment problem relates linear maps on the multidimensional polynomial ring to positive Borel measures.
The study of positive polynomials brings together algebra, geometry and analysis. The subject is of fundamental importance in real algebraic geometry,...


cena:
396,98 zł 
Algebraic Spaces and Stacks
ISBN: 9781470427986 Termin realizacji zamówienia: ok. 2530 dni roboczych. 

cena:
516,94 zł 
Lecture Notes on Local Rings
ISBN: 9789814603652 / Twarda / 224 str. Termin realizacji zamówienia: ok. 2530 dni roboczych. The content in Chapter 13 is a fairly standard onesemester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by CohenMacaulay rings and depth. In Chapters 46 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 79 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture....
The content in Chapter 13 is a fairly standard onesemester course on local rings with the goal to reach the fact that a regular local ring is a uniq...


cena:
217,06 zł 
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:
271,27 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:
1176,42 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:
883,89 zł 
Compact Manifolds with Special Holonomy
ISBN: 9780198506010 / Angielski / Twarda / 448 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:
1000,90 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:
1234,93 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:
486,05 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:
211,58 zł 
Convex Polytopes
ISBN: 9780387004242 / Angielski / Twarda / 471 str. Termin realizacji zamówienia: ok. 22 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:
447,56 zł 
Conics and Cubics : A Concrete Introduction to Algebraic Curves
ISBN: 9780387318028 / Angielski / Twarda / 347 str. Termin realizacji zamówienia: ok. 22 dni roboczych. 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 ... 

cena:
349,49 zł 