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Hodge Theory

door Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, Lê Dũng Tráng ...

Serie Boek 49 - Mathematical Notes
This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, ... Meer lezen

87,76 €

This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles,
... Meer lezen

Basic Category Theory

door Tom Leinster ...

Serie Boek 143 - Cambridge Studies in Advanced Mathematics
At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in ... Meer lezen

68,04 €

At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in
... Meer lezen
Chow Rings, Decomposition of the Diagonal, and the Topology of Families

door Claire Voisin ...

Serie Boek 187 - Annals of Mathematics Studies
In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch ... Meer lezen

77,16 €

In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed in the last thirty years to understand the famous Bloch
... Meer lezen
Topological Galois Theory

Solvability and Unsolvability of Equations in Finite Terms

door Askold Khovanskii ...

Vertaald door Vladlen Timorin, Valentina Kiritchenko, Liudmyla Kadets ...

Serie series Mathematics and Statistics (R0)
This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard ... Meer lezen

127,19 €

This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard
... Meer lezen
Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

door Stefan Witzel ...

Serie series Mathematics and Statistics (R0)
Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S ... Meer lezen

33,38 €

Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S
... Meer lezen
Galois Theory, Coverings, and Riemann Surfaces

door Askold Khovanskii ...

Vertaald door Vladlen Timorin, Valentina Kiritchenko ...

The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains a geometric ... Meer lezen

47,69 €

The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The third part contains a geometric
... Meer lezen
Structure and Geometry of Lie Groups

door Joachim Hilgert, Karl-Hermann Neeb ...

Serie series Mathematics and Statistics (R0)
This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie ... Meer lezen

85,85 €

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie
... Meer lezen
Set Theory

With an Introduction to Real Point Sets

door Abhijit Dasgupta ...

What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner.To allow flexibility of topic selection in courses, the book is organized into four relatively ... Meer lezen

76,31 €

What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner.To allow flexibility of topic selection in courses, the book is organized into four relatively
... Meer lezen
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

door Friedrich Wehrung ...

Serie series Mathematics and Statistics (R0)
Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, ... Meer lezen

52,99 €

Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups,
... Meer lezen
Synthetic Differential Topology

door Marta Bunge, Felipe Gago, Ana María San Luis ...

Serie Boek 448 - London Mathematical Society Lecture Note Series
This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of ... Meer lezen

87,83 €

This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of
... Meer lezen
Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

Bewerkt door Stephan Rosebrock, Wolfgang Metzler ...

Serie Boek 446 - London Mathematical Society Lecture Note Series
This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress that has been obtained in the intervening years. And while the fundamental open questions, such as ... Meer lezen

71,75 €

This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress that has been obtained in the intervening years. And while the fundamental open questions, such as
... Meer lezen
Handbook of Algebra

Bewerkt door M. Hazewinkel ...

Serie Boek 4 - Handbook of Algebra
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the ... Meer lezen

205,00 €

Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the
... Meer lezen

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Mathematical Notes eBook Serie

Hodge Theory

Mensen die dit lazen genoten ook van

Basic Category Theory

Chow Rings, Decomposition of the Diagonal, and the Topology of Families

Topological Galois Theory

Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

Galois Theory, Coverings, and Riemann Surfaces

Structure and Geometry of Lie Groups

Set Theory

Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

Synthetic Differential Topology

Advances in Two-Dimensional Homotopy and Combinatorial Group Theory

Handbook of Algebra