Geometry, Language and Strategy

Geometry, Language and Strategy
Author: Gerald H. Thomas
Publisher: World Scientific
Total Pages: 258
Release: 2006
Genre: Mathematics
ISBN: 9812774475

Geometry, Language and Strategy is a way of looking at game theory or strategic decision-making from a scientific perspective, using standard equations from the fields of engineering and physics. To better approximate reality, it extends game theory beyond the two-player set piece. The book begins where former game theory literature ends OCo with multi-person games on a world stage. It encompasses many of the variables encountered in strategic planning, using mathematics borrowed from physics and engineering, rather than the economic models which have not proven to be good in predicting reality. Sample Chapter(s). Chapter 1: Introduction (1,364 KB). Contents: Rules-of-the-Game; Flow of Strategic-Mass; Game Symmetries; Analysis; Graphical Presentation; Applications and Open Problems; Appendices: Thermodynamics; Symmetry in Differential Geometry; Central Strategies; Single Strategy Model; Single Strategy Numerical Solutions; Streamlines; Player Fluid. Readership: Mathematicians and scientists who wish to broaden their understanding of economic possibilities using game theory."

Geometry, Language And Strategy: The Dynamics Of Decision Processes - Volume 2

Geometry, Language And Strategy: The Dynamics Of Decision Processes - Volume 2
Author: Gerald H Thomas
Publisher: World Scientific
Total Pages: 853
Release: 2016-09-15
Genre: Mathematics
ISBN: 9814719943

The first volume, Geometry, Language and Strategy, extended the concepts of Game Theory, replacing static equilibrium with a deterministic dynamic theory. The first volume opened up many applications that were only briefly touched on. To study the consequences of the deterministic approach in contrast to standard Bayesian approaches, the richness of applications, requires an engineering foundation and discipline, which this volume supplies. It provides a richer list of applications, such as the Prisoner's Dilemma, which extends the resonant behavior of Vol. 1 to more general time-dependent and transient behaviors.

Shape

Shape
Author: Jordan Ellenberg
Publisher: Penguin
Total Pages: 481
Release: 2021-05-25
Genre: Mathematics
ISBN: 1984879065

An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

Linguistic Geometry

Linguistic Geometry
Author: Boris Stilman
Publisher: Springer Science & Business Media
Total Pages: 403
Release: 2012-12-06
Genre: Computers
ISBN: 1461544394

Linguistic Geometry: From Search to Construction is the first book of its kind. Linguistic Geometry (LG) is an approach to the construction of mathematical models for large-scale multi-agent systems. A number of such systems, including air/space combat, robotic manufacturing, software re-engineering and Internet cyberwar, can be modeled as abstract board games. These are games with moves that can be represented by the movement of abstract pieces over locations on an abstract board. The purpose of LG is to provide strategies to guide the games' participants to their goals. Traditionally, discovering such strategies required searches in giant game trees. These searches are often beyond the capacity of modern and even conceivable future computers. LG dramatically reduces the size of the search trees, making the problems computationally tractable. LG provides a formalization and abstraction of search heuristics used by advanced experts including chess grandmasters. Essentially, these heuristics replace search with the construction of strategies. To formalize the heuristics, LG employs the theory of formal languages (i.e. formal linguistics), as well as certain geometric structures over an abstract board. The new formal strategies solve problems from different domains far beyond the areas envisioned by the experts. For a number of these domains, Linguistic Geometry yields optimal solutions.

The Geometry of Strategy

The Geometry of Strategy
Author: Robert W. Keidel
Publisher: Routledge
Total Pages: 245
Release: 2010-07-09
Genre: Business & Economics
ISBN: 1135838267

To excel in today’s exacting world, organizations need to combine strategic planning and strategic thinking. Strategic planning is a formal activity carried out periodically by top managers, but it is vulnerable to change. Strategic thinking is an informal activity that occurs intermittently throughout an organization, but it tends to be non-cumulative. Keidel offers a framework for integrating strategic planning and strategic thinking that leverages the strengths of both. The key to his work is the application of simple geometric forms—especially, 2x2 grids and triangles—that help organizational leaders and strategists structure their thinking and planning. Keidel introduces four strategic categories—persona (organizational identity), performance (what is measured), puzzle (dilemmas that are faced), and pattern (how to compete, grow, & organize). Each category matches a specific geometry of thinking—point, linear, angular, and triangular. The payoff? A novel way to develop strategy, as well as a set of conceptual lenses for "reading" any other organization’s strategy—or any strategic argument. Keidel’s work is illustrated with case studies from his own consulting practice and grounded in the theoretical literature underlying the various geometries of thinking. This book will be a valuable resource for managerial and executive education in strategy, as well as a provocative reading for organizational strategy consultants and thoughtful practitioners.

GMAT Algebra Strategy Guide

GMAT Algebra Strategy Guide
Author: Manhattan Prep
Publisher: Simon and Schuster
Total Pages: 217
Release: 2014-12-02
Genre: Study Aids
ISBN: 1941234216

The Algebra GMAT Strategy Guide covers algebra in all its various forms (and disguises) on the GMAT, helping you master both fundamental techniques and nuanced strategies for solving algebraic problems. Unlike other guides that attempt to convey everything in a single tome, the Algebra GMAT Strategy Guide is designed to provide deep, focused coverage of one specialized area tested on the GMAT. As a result, students benefit from thorough and comprehensive subject material, clear explanations of fundamental principles, and step-by-step instructions of important techniques. In-action practice problems and detailed answer explanations challenge the student, while topical sets of Official Guide problems provide the opportunity for further growth. Used by itself or with other Manhattan Prep Strategy Guides, the Algebra GMAT Strategy Guide will help students develop all the knowledge, skills, and strategic thinking necessary for success on the GMAT. Purchase of this book includes six months of access to Manhattan Prep’s Algebra Question Bank. All of Manhattan Prep's GMAT Strategy Guides are aligned with the GMAC Official Guide, 2016 edition.

Teaching Mathematics in Grades 6 - 12

Teaching Mathematics in Grades 6 - 12
Author: Randall E. Groth
Publisher: SAGE Publications
Total Pages: 513
Release: 2012-08-10
Genre: Education
ISBN: 1452256020

Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.

Becoming the Math Teacher You Wish You'd Had

Becoming the Math Teacher You Wish You'd Had
Author: Tracy Johnston Zager
Publisher: Taylor & Francis
Total Pages: 393
Release: 2023-10-10
Genre: Education
ISBN: 1003839517

Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.

Supporting English Language Learners in Math Class, Grades K-2

Supporting English Language Learners in Math Class, Grades K-2
Author: Rusty Bresser
Publisher: Math Solutions
Total Pages: 218
Release: 2009
Genre: Education
ISBN: 0941355845

An interactive resource designed to help schools implement effective instructional practices that create sustainable results for English language learners. These research-based materials assist educators with simultaneously developing students' mastery of mathematics and their academic language development.--from package.