Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged. This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design. "Categories, Types and structures" provides a self-contained introduction to general category theory and explains the mathematical structures that have been the foundation of language design for the past two decades. The authors observe that the language of categories could provide a powerful means of standardizing of methods and language, and offer examples ranging from the early dialects of LISP, to Edinburgh ML, to work in polymorphisms and modularity. The book familiarizes readers with categorical concepts through examples based on elementary mathematical notions such as monoids, groups and toplogical spaces, as well as elementary notions from programming-language semantics such as partial orders and categories of domains in denotational semantics. It then pursues the more complex mathematical semantics of data types and programs as objects and morphisms of categories.

Categories, Types, and Structures: An Introduction to Category Theory for the Working Computer Scientist (FOUNDATIONS OF COMPUTING SERIES)

Computers & Technology

Longo, Giuseppe

Asperti, Andrea

Computer Science

Mit Pr

Discover the story of the pioneering hairstylist who obliterated the once-omnipresent hat and transformed the fashion industry through his A-list clients at his iconic 54th Street Salon. Kenneth Battelle, known simply as "Kenneth," started his 50-year career in the early 1950s in New York City and built a loyal client list who swore by his skills, including Jacqueline Kennedy, Marilyn Monroe, Judy Garland, Countess Consuelo Crespi, Diana Vreeland, Lucille Ball, and Gloria Vanderbilt. This biography not only celebrates his extraordinary talent but examines his behind-the-scenes life and career struggles, including the disastrous fire that destroyed his salon, and his perseverance moving forward. Through personal memories of those closest to him, including friends, clients, and former employees, the man who created a cult of classic, timeless ladies comes to life. Previously unpublished photographs, notes, clippings, and original Joe Eula illustrations richly exhibit both his myriad achievements and America's 20th-century high-fashion scene.

Kenneth: Shear Elegance

Humor & Entertainment

Schiffer

A general catalogue of photoelectric magnitudes and colors in the U, B, V system of 3,578 galaxies brighter than the 16-th V-magnitude (1936-1982) (The University of Texas monographs in astronomy)

Science & Math

Astronomy & Space Science

Dept. of Astronomy, University of Texas at Austin

Supplement to the General catalogue of photoelectric magnitudes and colors of galaxies in the U, B, V system (The University of Texas monographs in astronomy)

Coding for Markov Sources: Course Held at the Department for Automation and Information June 1971 (CISM International Centre for Mechanical Sciences, 110)

Springer

This authored monograph introduces a genuinely theoretical approach to biology. Starting point is the investigation of empirical biological scaling including their variability, which is found in the literature, e.g. allometric relationships, fractals, etc. The book then analyzes two different aspects of biological time: first, a supplementary temporal dimension to accommodate proper biological rhythms; secondly, the concepts of protension and retention as a means of local organization of time in living organisms. Moreover, the book investigates the role of symmetry in biology, in view of its ubiquitous importance in physics. In relation with the notion of extended critical transitions, the book proposes that organisms and their evolution can be characterized by continued symmetry changes, which accounts for the irreducibility of their historicity and variability. The authors also introduce the concept of anti-entropy as a measure for the potential of variability, being equally understood as alterations in symmetry. By this, the book provides a mathematical account of Gould's analysis of phenotypic complexity with respect to biological evolution. The target audience primarily comprises researchers interested in new theoretical approaches to biology, from physical, biological or philosophical backgrounds, but the book may also be beneficial for graduate students who want to enter this field.

Perspectives on Organisms: Biological time, Symmetries and Singularities (Lecture Notes in Morphogenesis)

Politics & Social Sciences

Montévil, Maël

Philosophy

This book provides a novel and genuinely theoretical approach to biology. Coverage includes a characterization of physical versus biological as well as introduces the concept of anti-entropy as a measure for the potential of variability.

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Books by Longo, Giuseppe