category theory introduction (87 Ergebnisse)

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Hardcover. Zustand: Very Good. No Jacket. 1st Edition. 1991.Hardcover.Very good condition.307 pages.Ships from Japan.Usually ships in 1-2 working days.

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of earlier works of Sugawara's homotopy characterization of H-spaces and loop spaces. At the beginning of the 1990s, a similar structure was introduced by Fukaya in his categorification of Floer homology in symplectic topology. This structure plays a fundamental role in the celebrated homological mirror symmetry proposal by Kontsevich and in more recent developments of symplectic topology.A detailed construction of A-infinity algebra structure attached to a closed Lagrangian submanifold is given in Fukaya, Oh, Ohta, and Ono's two-volume monograph Lagrangian Intersection Floer Theory (AMS-IP series 46 I & II), using the theory of Kuranishi structures-a theory that has been regarded as being not easily accessible to researchers in general. The present lecture note is provided by one of the main contributors to the Lagrangian Floer theory and is intended to provide a quick, reader-friendly explanation of the geometric part of the construction. Discussion of the Kuranishi structures is minimized, with more focus on the calculations and applications emphasizing the relevant homological algebra in the filtered context.The book starts with a quick explanation of Stasheff polytopes and their two realizations-one by the rooted metric ribbon trees and the other by the genus-zero moduli space of open Riemann surfaces-and an explanation of the A-infinity structure on the motivating example of the based loop space. It then provides a description of the moduli space of genus-zero bordered stable maps and continues with the construction of the (curved) A-infinity structure and its canonical models. Included in the explanation are the (Landau-Ginzburg) potential functions associated with compact Lagrangian submanifolds constructed by Fukaya, Oh, Ohta, and Ono. The book explains calculations of potential functions for toric fibers in detail and reviews several explicit calculations in the literature of potential functions with bulk as well as their applications to problems in symplectic topology via the critical point theory thereof. In the Appendix, the book also provides rapid summaries of various background materials such as the stable map topology, Kuranishi structures, and orbifold Lagrangian Floer theory.

.- Amsterdam. 1981. North Holland. 4º menor. X pgs- 1 h- 173 pgs. Cartoné editorial. Buen estado. . . ISBN 10: 0444003835. Matemáticas.

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Zustand: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, Sept. 1 (holiday Sale Item)* 2nd edition; 400 pp., paperback, ownership markings to the half-title page, else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Photos available upon request.

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This unique book offers an introductory course on category theory, which became a working language in algebraic geometry and number theory in the 1950s and began to spread to logic and computer science soon after it was created.Offering excellent use of helpful examples in Haskell, the work covers (among other things) concepts of functors, natural transformations, monads, adjoints, universality, category equivalence, and many others. The main goal is to understand the Yoneda lemma, which can be used to reverse-engineer the implementation of a function. Later chapters offer more insights into computer science, including computation with output, nondeterministic computation, and continuation passing.Topics and features:Contains rigorous mathematical arguments to support the theoryProvides numerous Haskell code-implementing examplesEngages with plentiful diagram chasing, with special emphasis on the design patterns for constructing a large diagram out of basic small piecesOffers insights into category theory to quantum computing and the foundation of computing disciplineServes as a preparatory course for monoidal categories and higher categoriesThe work will be useful to undergraduate students in computer science who have enough background in college mathematics such as linear algebra and basics in Haskell polymorphic functions. Further, it will appeal to graduate students and researchers in computing disciplines who want to newly acquire serious knowledge of category theory.

Softcover. Zustand: New. Zustand des Schutzumschlags: no dj. First. Category Theory is a fundamental branch of mathematics that has far-reaching implications for various fields, including computer science, physics, and philosophy. This book provides an introduction to the core concepts and principles of Category Theory, helping readers develop a deeper understanding of the underlying structures and relationships that govern our universe. By exploring the abstract and intuitive nature of Category Theory, you'll learn how to apply its principles to real-world problems, from data analysis to theoretical physics. This book assumes no prior knowledge of mathematics, making it an ideal starting point for beginners. Publication Year: 2025. SHIPPING TERMS - Depending on your location we may ship your book from the following locations: France, United Kingdom, India, Australia, Canada or the USA. This item is printed on demand.

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paperback. Zustand: New. Language:Chinese.Paperback. Pub Date: 2018-10-01 Pages: 504 Publisher: Nanjing University Press This book is the first general literary theory book. author Alastair Fowler is a famous professor of classical literature in Britain. In this book. the author aims to explore the exact meaning of the genre and how modern and contemporary literature can be linked to the historical category of literature. .