Categories, Types, and Structures

Categories, Types, and Structures PDF Author: Andrea Asperti
Publisher: MIT Press (MA)
ISBN:
Category : Computers
Languages : en
Pages : 330

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Book Description
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

Categories, Types, and Structures PDF Author: Andrea Asperti
Publisher: MIT Press (MA)
ISBN:
Category : Computers
Languages : en
Pages : 330

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Book Description
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.

Category Theory in Context

Category Theory in Context PDF Author: Emily Riehl
Publisher: Courier Dover Publications
ISBN: 0486820807
Category : Mathematics
Languages : en
Pages : 272

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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.

Fatigue of Structures and Materials

Fatigue of Structures and Materials PDF Author: J. Schijve
Publisher: Springer Science & Business Media
ISBN: 1402068085
Category : Science
Languages : en
Pages : 627

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Book Description
Fatigue of structures and materials covers a wide scope of different topics. The purpose of the present book is to explain these topics, to indicate how they can be analyzed, and how this can contribute to the designing of fatigue resistant structures and to prevent structural fatigue problems in service. Chapter 1 gives a general survey of the topic with brief comments on the signi?cance of the aspects involved. This serves as a kind of a program for the following chapters. The central issues in this book are predictions of fatigue properties and designing against fatigue. These objectives cannot be realized without a physical and mechanical understanding of all relevant conditions. In Chapter 2 the book starts with basic concepts of what happens in the material of a structure under cyclic loads. It illustrates the large number of variables which can affect fatigue properties and it provides the essential background knowledge for subsequent chapters. Different subjects are presented in the following main parts: • Basic chapters on fatigue properties and predictions (Chapters 2–8) • Load spectra and fatigue under variable-amplitude loading (Chapters 9–11) • Fatigue tests and scatter (Chapters 12 and 13) • Special fatigue conditions (Chapters 14–17) • Fatigue of joints and structures (Chapters 18–20) • Fiber-metal laminates (Chapter 21) Each chapter presents a discussion of a speci?c subject.

1990 Census of Population and Housing

1990 Census of Population and Housing PDF Author:
Publisher:
ISBN:
Category : Housing
Languages : en
Pages : 270

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Book Description


Earth Structures

Earth Structures PDF Author: Ivan Vanicek
Publisher: Springer Science & Business Media
ISBN: 1402039646
Category : Science
Languages : en
Pages : 644

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Book Description
Soil represents the oldest and most-used building material, yet up to now the subject of earthen structures has not been fully addressed. This book describes the principles of soil as construction material including its treatment using geosynthetics and stabilization. The book focuses on the principles, logic of processes, understanding of the most important problems, so that all participants in the construction project can build earth structures more safely and economically.

Basic Category Theory

Basic Category Theory PDF Author: Tom Leinster
Publisher: Cambridge University Press
ISBN: 1107044243
Category : Mathematics
Languages : en
Pages : 193

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Book Description
A short introduction ideal for students learning category theory for the first time.

The Loma Prieta, California, Earthquake of October 17, 1989--building Structures

The Loma Prieta, California, Earthquake of October 17, 1989--building Structures PDF Author:
Publisher:
ISBN:
Category : Buildings
Languages : en
Pages : 200

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Book Description


Elements of ∞-Category Theory

Elements of ∞-Category Theory PDF Author: Emily Riehl
Publisher: Cambridge University Press
ISBN: 1108952194
Category : Mathematics
Languages : en
Pages : 782

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Book Description
The language of ∞-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. To explain what exactly an ∞-category is requires various technical models, raising the question of how they might be compared. To overcome this, a model-independent approach is desired, so that theorems proven with any model would apply to them all. This text develops the theory of ∞-categories from first principles in a model-independent fashion using the axiomatic framework of an ∞-cosmos, the universe in which ∞-categories live as objects. An ∞-cosmos is a fertile setting for the formal category theory of ∞-categories, and in this way the foundational proofs in ∞-category theory closely resemble the classical foundations of ordinary category theory. Equipped with exercises and appendices with background material, this first introduction is meant for students and researchers who have a strong foundation in classical 1-category theory.

Handbook of Logic in Computer Science: Volume 5. Algebraic and Logical Structures

Handbook of Logic in Computer Science: Volume 5. Algebraic and Logical Structures PDF Author: S. Abramsky
Publisher: OUP Oxford
ISBN: 0191546275
Category : Computers
Languages : en
Pages : 556

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Book Description
This handbook volume covers fundamental topics of semantics in logic and computation. The chapters (some monographic in length), were written following years of co-ordination and follow a thematic point of view. The volume brings the reader up to front line research, and is indispensable to any serious worker in the areas.

Matrix Analysis Framed Structures

Matrix Analysis Framed Structures PDF Author: William Weaver
Publisher: Springer Science & Business Media
ISBN: 1468474871
Category : Science
Languages : en
Pages : 557

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Book Description
Matrix analysis of structures is a vital subject to every structural analyst, whether working in aero-astro, civil, or mechanical engineering. It provides a comprehensive approach to the analysis of a wide variety of structural types, and therefore offers a major advantage over traditional metho~ which often differ for each type of structure. The matrix approach also provides an efficient means of describing various steps in the analysis and is easily programmed for digital computers. Use of matrices is natural when performing calculations with a digital computer, because matrices permit large groups of numbers to be manipulated in a simple and effective manner. This book, now in its third edition, was written for both college students and engineers in industry. It serves as a textbook for courses at either the senior or first-year graduate level, and it also provides a permanent reference for practicing engineers. The book explains both the theory and the practical implementation of matrix methods of structural analysis. Emphasis is placed on developing a physical understanding of the theory and the ability to use computer programs for performing structural calculations.