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Topology
This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov comp…
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- ISBN/ISSN
- 978-3-319-16958-3
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Topologie algébrique Chapitres 1 à 4
Ce livre des Éléments de mathématique est consacré à la Topologie algébrique. Les quatre premiers chapitres présentent la théorie des revêtements d'un espace topologique et du groupe de Poincaré. On construit le revêtement universel d'un espace connexe pointé délaçable et on établit l'équivalence de catégories entre revêtements de cet espace et actions du groupe de Poincaré. …
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- ISBN/ISSN
- 978-3-662-49361-8
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3-Transposition Groups
In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and in the process discovered three new sporadic groups, now known as the Fischer groups. Since then, the theory of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains th…
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- ISBN/ISSN
- 9780511759413
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Foliation Theory in Algebraic Geometry
Topics covered include: Fano and del Pezzo foliations; the cone theorem and rank one foliations; the structure of symmetric differentials on a smooth complex surface and a local structure theorem for closed symmetric differentials of rank two; an overview of lifting symmetric differentials from varieties with canonical singularities and the applications to the classification of AT bundles on si…
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- ISBN/ISSN
- 978-3-319-24460-0
- Collation
- VII, 216 hlm.
- Series Title
- Simons Symposia
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The Unattainable Attempt to Avoid the Casus Irreducibilis for Cubic Equations…
Sara Confalonieri presents an overview of Cardano’s mathematical treatises and, in particular, discusses the writings that deal with cubic equations. The author gives an insight into the latest of Cardano’s algebraic works, the De Regula Aliza (1570), which displays the attempts to overcome the difficulties entailed by the casus irreducibilis. Notably some of Cardano's strategies in this tr…
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- ISBN/ISSN
- 978-3-658-09275-7
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The Structure and Stability of Persistence Modules
This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use o…
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- ISBN/ISSN
- 978-3-319-42545-0
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Operator Theory, Function Spaces, and Applications
This volume collects a selected number of papers presented at the International Workshop on Operator Theory and its Applications (IWOTA) held in July 2014 at Vrije Universiteit in Amsterdam. Main developments in the broad area of operator theory are covered, with special emphasis on applications to science and engineering. The volume also presents papers dedicated to the eightieth birthday of D…
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- 1
- ISBN/ISSN
- 0255-0156
- Collation
- VIII, 233
- Series Title
- Operator Theory: Advances and Applications
- Call Number
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Open Problems in the Geometry and Analysis of Banach Spaces
This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and…
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- 1
- ISBN/ISSN
- 978-3-319-33571-1
- Collation
- XII, 169
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- -
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On the Geometry of Some Special Projective Varieties
“The book under review (awarded the 2015 Book Prize of the Unione Matematica Italiana) gives a survey of some classical and recent results on the geometry of projective varieties and its applications. … The book will be useful to anyone interested in classical algebraic geometry.” (Fyodor L. Zak, Mathematical Reviews, May, 2017) “The book under review covers fundamental aspects of the …
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- 1
- ISBN/ISSN
- 1862-9113
- Collation
- XXVI, 232
- Series Title
- Lecture Notes of the Unione Matematica Italiana
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- -
On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory
The book is a collection of contributions by leading experts, developed around traditional themes discussed at the annual Linz Seminars on Fuzzy Set Theory. The different chapters have been written by former PhD students, colleagues, co-authors and friends of Peter Klement, a leading researcher and the organizer of the Linz Seminars on Fuzzy Set Theory. The book also includes advanced findings …
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- 1
- ISBN/ISSN
- 978-3-319-28807-9
- Collation
- XII, 275
- Series Title
- Studies in Fuzziness and Soft Computing
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- -
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