Sketches of an elephant: a topos theory compendium, Johnstone, Peter T. (reader In The Foundations Of Mathematics, University Of Cambridge, Cambridge, Uk)

Автор: Hatcher A.
Название: Algebraic topology
ISBN: 0521795400 ISBN-13(EAN): 9780521795401
Издательство: Cambridge Academ
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Цена: 40120.00 T
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Описание: An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.

Автор: Daniel Huybrechts
Название: The Geometry of Cubic Hypersurfaces
ISBN: 1009280007 ISBN-13(EAN): 9781009280006
Издательство: Cambridge Academ
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Цена: 73910.00 T
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Описание: Cubic hypersurfaces are described by almost the simplest possible polynomial equations, yet their behaviour is rich enough to demonstrate many of the central challenges in algebraic geometry. With exercises and detailed references to the wider literature, this thorough text introduces cubic hypersurfaces and all the techniques needed to study them. The book starts by laying the foundations for the study of cubic hypersurfaces and of many other algebraic varieties, covering cohomology and Hodge theory of hypersurfaces, moduli spaces of those and Fano varieties of linear subspaces contained in hypersurfaces. The next three chapters examine the general machinery applied to cubic hypersurfaces of dimension two, three, and four. Finally, the author looks at cubic hypersurfaces from a categorical point of view and describes motivic features. Based on the author's lecture courses, this is an ideal text for graduate students as well as an invaluable reference for researchers in algebraic geometry.

Автор: Isaac Goldbring
Название: Ultrafilters Throughout Mathematics
ISBN: 1470469618 ISBN-13(EAN): 9781470469610
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
Наличие на складе: Поставка под заказ.
Описание: Presents the basic facts about ultrafilters and ultraproducts to readers with no prior knowledge of the subject. These techniques are then applied to a wide variety of topics. The first part of the book deals solely with ultrafilters; the second part presents the classical ultraproduct construction.

Автор: John Milnor
Название: Topology from the Differentiable Viewpoint
ISBN: 0691048339 ISBN-13(EAN): 9780691048338
Издательство: Wiley
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Цена: 47520.00 T
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Автор: Clara Loh
Название: Exploring Formalisation
ISBN: 3031146484 ISBN-13(EAN): 9783031146480
Издательство: Springer
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Цена: 46570.00 T
Наличие на складе: Нет в наличии.
Описание: This primer on mathematics formalisation provides a rapid, hands-on introduction to proof verification in Lean. After a quick introduction to Lean, the basic techniques of human-readable formalisation are introduced, illustrated by simple examples on maps, induction and real numbers. Subsequently, typical design options are discussed and brought to life through worked examples in the setting of simplicial complexes (a higher-dimensional generalisation of graph theory). Finally, the book demonstrates how current research in algebraic and geometric topology can be formalised by means of suitable abstraction layers. Informed by the author's recent teaching and research experience, this book allows students and researchers to quickly get started with formalising and checking their proofs. The core material of the book is accessible to mathematics students with basic programming skills. For the final chapter, familiarity with elementary category theory and algebraic topology is recommended.

Автор: Chmutov
Название: Introduction to Vassiliev Knot Invariants
ISBN: 1107020832 ISBN-13(EAN): 9781107020832
Издательство: Cambridge Academ
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Цена: 53960.00 T
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Описание: This detailed exposition of a relatively recent development in knot theory, namely, the theory of Vassiliev knot invariants, is intended to serve both as a textbook for readers with little background in this area, and as a guide to some of the more advanced material.

Автор: Afra J. Zomorodian
Название: Topology for Computing
ISBN: 0521836662 ISBN-13(EAN): 9780521836661
Издательство: Cambridge Academ
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Цена: 116160.00 T
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Описание: This book presents the basic concepts from the emerging field of computational topology that combines topology theory with the power of computing to solve problems in diverse fields. Written from a computer science perspective, the book enables non-specialists to grasp the ideas and so participate in current research in computational topology.

Автор: Denis Ibadula; Willem Veys
Название: Bridging Algebra, Geometry, and Topology
ISBN: 3319378376 ISBN-13(EAN): 9783319378374
Издательство: Springer
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Цена: 93160.00 T
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Описание: Algebra, geometry and topology cover a variety of different, but intimately related research fields in modern mathematics.

Автор: Denis-Charles Cisinski
Название: Higher Categories and Homotopical Algebra
ISBN: 1108473202 ISBN-13(EAN): 9781108473200
Издательство: Cambridge Academ
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Цена: 67590.00 T
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Описание: This user-friendly book introduces modern homotopy theory through the lens of higher categories after Joyal and Lurie. Starting from scratch it guides graduate students and researchers through the powerful tools that the theory provides for applications in such areas as algebraic geometry, representation theory, algebra and logic.

Автор: Mark Hagen, Richard Webb, Henry Wilton
Название: Beyond Hyperbolicity
ISBN: 1108447295 ISBN-13(EAN): 9781108447294
Издательство: Cambridge Academ
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Цена: 71810.00 T
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Описание: This book focuses on generalisations of Gromov hyperbolicity in geometric group theory. Five self-contained expository articles introduce topics `beyond hyperbolicity`: these can be used as an introduction for students or as a reference for experts. The final part contains research articles on the latest results in this rich and active field.

Автор: Decker
Название: A First Course in Computational Algebraic Geometry
ISBN: 1107612535 ISBN-13(EAN): 9781107612532
Издательство: Cambridge Academ
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Цена: 16890.00 T
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Описание: This quick guide is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. It provides a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the computer algebra system Singular.

Автор: Dey, Tamal Krishna (purdue University, Indiana) Wang, Yusu (university Of California, San Diego)
Название: Computational topology for data analysis
ISBN: 1009098160 ISBN-13(EAN): 9781009098168
Издательство: Cambridge Academ
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Цена: 52790.00 T
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Описание: Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data in applied domains. This comprehensive text covers the current state of the field for students in mathematics and computer science, providing a computational and algorithmic foundation for techniques in TDA.