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Author: Wilfrid Hodges
Publisher: CUP Archive
ISBN: 9780521317160
Category : Mathematics
Languages : en
Pages : 324
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Book Description
This book introduces a general method for building infinite mathematical structures, and surveys its applications in algebra and model theory. The basic idea behind the method is to build a structure by a procedure with infinitely many steps, similar to a game between two players that goes on indefinitely. The approach is new and helps to simplify, motivate and unify a wide range of constructions that were previously carried out separately and by ad hoc methods. The first chapter provides a resume of basic model theory. A wide variety of algebraic applications are studied, with detailed analyses of existentially closed groups of class 2. Another chapter describes the classical model-theoretic form of this method -of construction, which is known variously as 'omitting types', 'forcing' or the 'Henkin-Orey theorem'. The last three chapters are more specialised and discuss how the same idea can be used to build uncountable structures. Applications include completeness for Magidor-Malitz quantifiers, and Shelah's recent and sophisticated omitting types theorem for L(Q). There are also applications to Bdolean algebras and models of arithmetic.
Author: Wilfrid Hodges
Publisher: CUP Archive
ISBN: 9780521317160
Category : Mathematics
Languages : en
Pages : 324
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Book Description
This book introduces a general method for building infinite mathematical structures, and surveys its applications in algebra and model theory. The basic idea behind the method is to build a structure by a procedure with infinitely many steps, similar to a game between two players that goes on indefinitely. The approach is new and helps to simplify, motivate and unify a wide range of constructions that were previously carried out separately and by ad hoc methods. The first chapter provides a resume of basic model theory. A wide variety of algebraic applications are studied, with detailed analyses of existentially closed groups of class 2. Another chapter describes the classical model-theoretic form of this method -of construction, which is known variously as 'omitting types', 'forcing' or the 'Henkin-Orey theorem'. The last three chapters are more specialised and discuss how the same idea can be used to build uncountable structures. Applications include completeness for Magidor-Malitz quantifiers, and Shelah's recent and sophisticated omitting types theorem for L(Q). There are also applications to Bdolean algebras and models of arithmetic.
Author: Wilfrid Hodges
Publisher: Courier Corporation
ISBN: 0486450171
Category : Mathematics
Languages : en
Pages : 338
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Book Description
This volume introduces a general method for building infinite mathematical structures and surveys applications in algebra and model theory. It covers basic model theory and examines a variety of algebraic applications, including completeness for Magidor-Malitz quantifiers, Shelah's recent and sophisticated omitting types theorem for L(Q), and applications to Boolean algebras. Over 160 exercises. 1985 edition.
Author: Jouko Väänänen
Publisher: Cambridge University Press
ISBN: 1139496336
Category : Mathematics
Languages : en
Pages : 381
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Book Description
This gentle introduction to logic and model theory is based on a systematic use of three important games in logic: the semantic game; the Ehrenfeucht–Fraïssé game; and the model existence game. The third game has not been isolated in the literature before but it underlies the concepts of Beth tableaux and consistency properties. Jouko Väänänen shows that these games are closely related and in turn govern the three interrelated concepts of logic: truth, elementary equivalence and proof. All three methods are developed not only for first order logic but also for infinitary logic and generalized quantifiers. Along the way, the author also proves completeness theorems for many logics, including the cofinality quantifier logic of Shelah, a fully compact extension of first order logic. With over 500 exercises this book is ideal for graduate courses, covering the basic material as well as more advanced applications.
Author: Alexander Osterwalder
Publisher: John Wiley & Sons
ISBN: 1118656407
Category : Business & Economics
Languages : en
Pages : 295
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Book Description
Business Model Generation is a handbook for visionaries, game changers, and challengers striving to defy outmoded business models and design tomorrow's enterprises. If your organization needs to adapt to harsh new realities, but you don't yet have a strategy that will get you out in front of your competitors, you need Business Model Generation. Co-created by 470 "Business Model Canvas" practitioners from 45 countries, the book features a beautiful, highly visual, 4-color design that takes powerful strategic ideas and tools, and makes them easy to implement in your organization. It explains the most common Business Model patterns, based on concepts from leading business thinkers, and helps you reinterpret them for your own context. You will learn how to systematically understand, design, and implement a game-changing business model--or analyze and renovate an old one. Along the way, you'll understand at a much deeper level your customers, distribution channels, partners, revenue streams, costs, and your core value proposition. Business Model Generation features practical innovation techniques used today by leading consultants and companies worldwide, including 3M, Ericsson, Capgemini, Deloitte, and others. Designed for doers, it is for those ready to abandon outmoded thinking and embrace new models of value creation: for executives, consultants, entrepreneurs, and leaders of all organizations. If you're ready to change the rules, you belong to "the business model generation!"
Author: Lee Zhi Eng
Publisher: Packt Publishing Ltd
ISBN: 1785280740
Category : Computers
Languages : en
Pages : 250
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Book Description
Learn how to build a complete 3D game using the industry-leading Unity game development engine and Blender, the graphics software that gives life to your ideas About This Book Learn the fundamentals of two powerful tools and put the concepts into practice Find out how to designand buildall the core elements required for a great game - from characters to environments, to props— Learn how to integrate Artificial Intelligence (AI) into your game for sophisticated and engaging gameplay Who This Book Is For This book has been created for anyone who wants to learn how to develop their own game using Blender and Unity, both of which are freely available, yet very popular and powerful, tools. Not only will you be able to master the tools, but you will also learn the entire process of creating a game from the ground up. What You Will Learn Design and create a game concept that will determine how your game will look and how it will be played Construct 3D models of your game characters and create animations for them before importing them into the game Build the game environment from scratch by constructing the terrain and props, and eventually put it all together to form a scene Import and integrate game assets created in Blender into Unity—for example, setting up textures, materials, animation states, and prefabs Develop game structures including a game flow, user interface diagram, game logic, and a state machine Make the game characters move around and perform certain actions either through player inputs or fully controlled by artificial intelligence Create particles and visual effects to enhance the overall visual aesthetic Deploy the game for various types of platforms In Detail In the wake of the indie game development scene, game development tools are no longer luxury items costing up to millions of dollars but are now affordable by smaller teams or even individual developers. Among these cutting-edge applications, Blender and Unity stand out from the crowd as a powerful combination that allows small-to-no budget indie developers or hobbyists alike to develop games that they have always dreamt of creating. Starting from the beginning, this book will cover designing the game concept, constructing the gameplay, creating the characters and environment, implementing game logic and basic artificial intelligence, and finally deploying the game for others to play. By sequentially working through the steps in each chapter, you will quickly master the skills required to develop your dream game from scratch. Style and approach A step-by-step approach with tons of screenshots and sample code for readers to follow and learn from. Each topic is explained sequentially and placed in context so that readers can get a better understanding of every step in the process of creating a fully functional game.
Author: Lawrence A. Boland
Publisher: Cambridge University Press
ISBN: 1107032946
Category : Econometric models
Languages : en
Pages : 297
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Book Description
Concern about the role and the limits of modeling has heightened after repeated questions were raised regarding the dependability and suitability of the models that were used in the run-up to the 2008 financial crash. In this book, Lawrence Boland provides an overview of the practices of and the problems faced by model builders to explain the nature of models, the modeling process, and the possibility for and nature of their testing. In a reflective manner, the author raises serious questions about the assumptions and judgments that model builders make in constructing models. In making his case, he examines the traditional microeconomics-macroeconomics separation with regard to how theoretical models are built and used and how they interact, paying particular attention to the use of equilibrium concepts in macroeconomic models and game theory and to the challenges involved in building empirical models, testing models, and using models to test theoretical explanations.
Author: R.J. Aumann
Publisher: Elsevier
ISBN: 9780444894274
Category : Business & Economics
Languages : en
Pages : 824
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Book Description
This is the second of three volumes surveying the state of the art in Game Theory and its applications to many and varied fields, in particular to economics. The chapters in the present volume are contributed by outstanding authorities, and provide comprehensive coverage and precise statements of the main results in each area. The applications include empirical evidence. The following topics are covered: communication and correlated equilibria, coalitional games and coalition structures, utility and subjective probability, common knowledge, bargaining, zero-sum games, differential games, and applications of game theory to signalling, moral hazard, search, evolutionary biology, international relations, voting procedures, social choice, public economics, politics, and cost allocation. This handbook will be of interest to scholars in economics, political science, psychology, mathematics and biology. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes
Author: Nicholas Taylor
Publisher: Bloomsbury Publishing USA
ISBN: 150135406X
Category : Social Science
Languages : en
Pages : 199
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Book Description
LEGOfied: Building Blocks as Media provides a multi-faceted exploration of LEGO fandom, addressing a blindspot in current accounts of LEGO and an emerging area of interest to media scholars: namely, the role of hobbyist enthusiasts and content producers in LEGO's emergence as a ubiquitous transmedia franchise. This book examines a range of LEGO hobbyism and their attendant forms of mediated self-expression and identity (their “technicities”): artists, aspiring Master Builders, collectors, and entrepreneurs who refashion LEGO bricks into new commodities (sets, tchotchkes, and minifigures). The practices and perspectives that constitute this diverse scene lie at the intersection of multiple transformations in contemporary culture, including the shifting relationships between culture industries and the audiences that form their most ardent consumer base, but also the emerging forms of entrepreneurialism, professionalization, and globalization that characterize the burgeoning DIY movement. What makes this a compelling project for media scholars is its mutli-dimensional articulation of how LEGO functions not just as a toy, cultural icon, or as transmedia franchise, but as a media platform. LEGOfied is centered around their shared experiences, qualitative observations, and semi-structured interviews at a number of LEGO hobbyist conventions. Working outwards from these conventions, each chapter engages additional modes of inquiry-media archaeology, aesthetics, posthumanist philosophy, feminist media studies, and science and technology studies-to explore the origins, permutations and implications of different aspects of the contemporary LEGO fandom scene.
Author: Katie Salen Tekinbas
Publisher: MIT Press
ISBN: 0262195364
Category : Computers
Languages : en
Pages : 955
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Book Description
Classic and cutting-edge writings on games, spanning nearly 50 years of game analysis and criticism, by game designers, game journalists, game fans, folklorists, sociologists, and media theorists. The Game Design Reader is a one-of-a-kind collection on game design and criticism, from classic scholarly essays to cutting-edge case studies. A companion work to Katie Salen and Eric Zimmerman's textbook Rules of Play: Game Design Fundamentals, The Game Design Reader is a classroom sourcebook, a reference for working game developers, and a great read for game fans and players. Thirty-two essays by game designers, game critics, game fans, philosophers, anthropologists, media theorists, and others consider fundamental questions: What are games and how are they designed? How do games interact with culture at large? What critical approaches can game designers take to create game stories, game spaces, game communities, and new forms of play? Salen and Zimmerman have collected seminal writings that span 50 years to offer a stunning array of perspectives. Game journalists express the rhythms of game play, sociologists tackle topics such as role-playing in vast virtual worlds, players rant and rave, and game designers describe the sweat and tears of bringing a game to market. Each text acts as a springboard for discussion, a potential class assignment, and a source of inspiration. The book is organized around fourteen topics, from The Player Experience to The Game Design Process, from Games and Narrative to Cultural Representation. Each topic, introduced with a short essay by Salen and Zimmerman, covers ideas and research fundamental to the study of games, and points to relevant texts within the Reader. Visual essays between book sections act as counterpoint to the writings. Like Rules of Play, The Game Design Reader is an intelligent and playful book. An invaluable resource for professionals and a unique introduction for those new to the field, The Game Design Reader is essential reading for anyone who takes games seriously.
Author: Kelvin Sung
Publisher: Apress
ISBN: 1484209524
Category : Computers
Languages : en
Pages : 481
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Book Description
Build Your Own 2D Game Engine and Create Great Web Games teaches you how to develop your own web-based game engine step-by-step, allowing you to create a wide variety of online videogames that can be played in common web browsers. Chapters include examples and projects that gradually increase in complexity while introducing a ground-up design framework, providing you with the foundational concepts needed to build fun and engaging 2D games. By the end of this book you will have created a complete prototype level for a side scrolling action platform game and will be prepared to begin designing additional levels and games of your own. This book isolates and presents relevant knowledge from software engineering, computer graphics, mathematics, physics, game development, game mechanics, and level design in the context of building a 2D game engine from scratch. The book then derives and analyzes the source code needed to implement thes e concepts based on HTML5, JavaScript, and WebGL. After completing the projects you will understand the core-concepts and implementation details of a typical 2D game engine and you will be familiar with a design and prototyping methodology you can use to create game levels and mechanics that are fun and engaging for players. You will gain insights into the many ways software design and creative design must work together to deliver the best game experiences, and you will have access to a versatile 2D game engine that you can expand upon or utilize directly to build your own 2D games that can be played online from anywhere. • Assists the reader in understanding the core-concepts behind a 2D game engine • Guides the reader in building a functional game engine based on these concepts • Lead s the reader in exploring the interplay between technical design and game experience design • Teaches the reader how to build their own 2D games that can be played across internet via popular browsers
