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Author: Emily Riehl Publisher: Courier Dover Publications ISBN: 0486820807 Category : Mathematics Languages : en Pages : 273
Book Description
Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.
Author: Emily Riehl Publisher: Courier Dover Publications ISBN: 0486820807 Category : Mathematics Languages : en Pages : 273
Book Description
Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.
Author: James E. Humphreys Publisher: American Mathematical Soc. ISBN: 1470463261 Category : Education Languages : en Pages : 289
Book Description
This is the first textbook treatment of work leading to the landmark 1979 Kazhdan–Lusztig Conjecture on characters of simple highest weight modules for a semisimple Lie algebra g g over C C. The setting is the module category O O introduced by Bernstein–Gelfand–Gelfand, which includes all highest weight modules for g g such as Verma modules and finite dimensional simple modules. Analogues of this category have become influential in many areas of representation theory. Part I can be used as a text for independent study or for a mid-level one semester graduate course; it includes exercises and examples. The main prerequisite is familiarity with the structure theory of g g. Basic techniques in category O O such as BGG Reciprocity and Jantzen's translation functors are developed, culminating in an overview of the proof of the Kazhdan–Lusztig Conjecture (due to Beilinson–Bernstein and Brylinski–Kashiwara). The full proof however is beyond the scope of this book, requiring deep geometric methods: D D-modules and perverse sheaves on the flag variety. Part II introduces closely related topics important in current research: parabolic category O O, projective functors, tilting modules, twisting and completion functors, and Koszul duality theorem of Beilinson–Ginzburg–Soergel.
Author: Mohan Ganesalingam Publisher: Springer ISBN: 3642370128 Category : Computers Languages : en Pages : 273
Book Description
The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics. "The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers
Author: n.n. Publisher: ecomed-Storck GmbH ISBN: 3868971696 Category : Law Languages : en Pages : 145
Book Description
Der Inhalt: Stauen und Trennen, wie es im IMDG-Code steht! Der international geschätzte Storck Guide (in englischer Sprache) unterstützt Ladungsoffiziere, Stauplaner, Inspektionen und Kontrollorgane, Containerbelader und Terminals bei der Schiffs- und Containerbeladung mit gefährlichen Gütern. Was auch im neuen IMDG-Code immer noch auf über 1.200 Seiten verteilt hinsichtlich der Stauung und Trennung steht, findet man hier auf nur circa 150 Seiten übersichtlich zusammengefasst. Die aktualisierte 23. Auflage berücksichtigt die Vorschriften des IMDG-Codes in der Fassung des Amendments 36-12, die bereits ab 2013 angewendet werden dürfen und ab 2014 verbindlich anzuwenden sind. Der International Maritime Dangerous Goods Code (IMDG-Code) regelt weltweit die Beförderung gefährlicher Güter mit Seeschiffen. Klassenweise werden die generellen und speziellen Zusammenstauvorschriften mit anderen gefährlichen Gütern und Klassen (außer Klassen 1 und 7) aufgezeigt. Farbige Trenntabellen dienen der Schnellinformation, ein praktisches Griffregister erleichtert den Zugriff.
Author: John W. Head Publisher: Routledge ISBN: 1000286231 Category : Law Languages : en Pages : 255
Book Description
Drawing on the Homeric epics, this multidisciplinary work reveals the cultural transformations which need to take place in order to transition from today’s modern extractive agricultural system to a sustainable natural‐systems agriculture. In order to provide an imaginative foundation on which to build such a cultural transformation, the author draws on the oldest and most pervasive pair of literary works in the Western canon: the Iliad and the Odyssey. He uses themes from those foundational literary works to critique the concept of state sovereignty and to explain how innovative federalism structures around the world already show momentum building toward changes in global environmental governance. The book proposes a dramatic expansion on those innovations, to create eco‐states responsible for agroecological management. Drawing from many years of experience in international institutions, the author proposes a system of coordination by which an international agroecology‐focused organization would simultaneously (i) avoid the shortcomings of the world’s current family of powerful global institutions and (ii) help create and implement a reformed system of local landscape‐based agriculture wholly consistent with ecological principles. Acknowledging the difficulty of achieving reforms such as these, the author suggests that a new cultural‐conceptual narrative can be constructed drawing on values set forth 2,700 years ago in the Homeric epics. He explains how these values can be reimagined to drive forward our efforts in addressing today’s the climate and agricultural crises in ways that reflect, not reject, the natural processes and relationships that make the Earth a living planet. This book will be of great interest to students, academics and policymakers addressing issues of agrarian values, environmental and agricultural law, environmental restoration, agroecology, and global institutional reform.
Author: Francis Borceux Publisher: Springer Science & Business Media ISBN: 9781402019616 Category : Mathematics Languages : en Pages : 504
Book Description
The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Mal'cev, protomodular, homological and semi-abelian categories emerged. These notions force attention on the fibration of points and allow a unified treatment of the main algebraic: homological lemmas, Noether isomorphisms, commutator theory. The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint is: knowing an object, not from inside via its elements, but from outside via its relations with its environment. The book is intended to be a powerful tool in the hands of researchers in category theory, homology theory and universal algebra, as well as a textbook for graduate courses on these topics.
Author: Alain Connes Publisher: Academic Press ISBN: 0080571751 Category : Mathematics Languages : en Pages : 678
Book Description
This English version of the path-breaking 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. - First full treatment of the subject and its applications - Written by the pioneer of this field - Broad applications in mathematics - Of interest across most fields - Ideal as an introduction and survey - Examples treated include: - the space of Penrose tilings - the space of leaves of a foliation - the space of irreducible unitary representations of a discrete group - the phase space in quantum mechanics - the Brillouin zone in the quantum Hall effect - A model of space time
Author: Emily Riehl
Author: Emily Riehl
Author: James E. Humphreys
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Author: Mohan Ganesalingam
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Author: n.n.
Author: John W. Head
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Author: Francis Borceux
Author: Alain Connes