Adventures in Group Theory

Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

Author: David Joyner

Publisher: JHU Press

ISBN: 0801897262

Category: Mathematics

Page: 328

View: 8310

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Featuring strategies for solving the puzzles and computations illustrated using the SAGE open-source computer algebra system, the second edition of Adventures in Group Theory is perfect for mathematics enthusiasts and for use as a supplementary textbook.

Introduction to Differential Equations Using Sage

Author: David Joyner,Marshall Hampton

Publisher: JHU Press

ISBN: 1421407248

Category: Mathematics

Page: 280

View: 5933

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David Joyner and Marshall Hampton’s lucid textbook explains differential equations using the free and open-source mathematical software Sage. Since its release in 2005, Sage has acquired a substantial following among mathematicians, but its first user was Joyner, who is credited with helping famed mathematician William Stein turn the program into a usable and popular choice. Introduction to Differential Equations Using Sage extends Stein's work by creating a classroom tool that allows both differential equations and Sage to be taught concurrently. It’s a creative and forward-thinking approach to math instruction. Topics include: • First-Order Differential Equations • Incorporation of Newtonian Mechanics• Second-Order Differential Equations• The Annihilator Method• Using Linear Algebra with Differential Equations• Nonlinear Systems• Partial Differential Equations• Romeo and Juliet

Applied Abstract Algebra

Author: David Joyner,Richard Kreminski,Joann Turisco

Publisher: JHU Press

ISBN: 9780801878220

Category: Business & Economics

Page: 329

View: 2593

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David Joyner, Richard Kreminski, and Joann Turisco introduce a wide range of abstract algebra with relevant and interesting applications, from error-correcting codes to cryptography to the group theory of Rubik's cube. Each chapter includes exercises in GAP (a free computer algebra system) and MAGMA (a noncommercial computer algebra system), which are especially helpful in giving students a grasp of practical examples.

Rubik's cubic compendium

Author: Ernö Rubik

Publisher: Oxford University Press, USA

ISBN: 9780198532026

Category: Games

Page: 225

View: 8286

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Millions of people were -- and still are -- simultaneously bewildered, frustrated, and amazed by the problems posed by Rubik's cube. Co-written by the cube's inventor, this book serves as a comprehensive guide to the cube for both the puzzler and the mathematician. The book reveals the wealth of fascinating mathematics concealed within the cube's apparently simple operation, and even those who have solved the cube will discover a vast number of new ideas and possibilities.

Handbook of Cubik Math

Author: Alexander H. Frey,David Singmaster

Publisher: N.A

ISBN: 9780718892098

Category: Mathematics

Page: 183

View: 3552

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Thousands of people now are able to solve Rubik's Cube, but the solution manuals they have been using do not offer descriptions for why or how these solutions work. This book supplies an easy-to-understand explanation of appropriate mathematical formulas.

The Colossal Book of Mathematics

Classic Puzzles, Paradoxes, and Problems : Number Theory, Algebra, Geometry, Probability, Topology, Game Theory, Infinity, and Other Topics of Recreational Mathematics

Author: Martin Gardner

Publisher: W. W. Norton & Company

ISBN: 9780393020236

Category: Games & Activities

Page: 724

View: 9650

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The author presents a selection of pieces from his Scientific American "Mathematical Games" column, presenting puzzles and concepts that range from arithmetic and geometrical games to the meaning of M.C. Escher's artwork.

Group Theory and Quantum Mechanics

Author: Michael Tinkham

Publisher: Courier Corporation

ISBN: 0486131661

Category: Science

Page: 352

View: 9471

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Graduate-level text develops group theory relevant to physics and chemistry and illustrates their applications to quantum mechanics, with systematic treatment of quantum theory of atoms, molecules, solids. 1964 edition.

Constitutional Calculus

The Math of Justice and the Myth of Common Sense

Author: Jeff Suzuki

Publisher: JHU Press

ISBN: 142141595X

Category: Law

Page: 296

View: 7101

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How should we count the population of the United States? What would happen if we replaced the electoral college with a direct popular vote? What are the consequences of allowing unlimited partisan gerrymandering of congressional districts? Can six-person juries yield verdicts consistent with the needs of justice? Is it racist to stop and frisk minorities at a higher rate than non-minorities? These and other questions have long been the subject of legal and political debate and are routinely decided by lawyers, politicians, judges, and voters, mostly through an appeal to common sense and tradition. But mathematician Jeff Suzuki asserts that common sense is not so common, and traditions developed long ago in what was a mostly rural, mostly agricultural, mostly isolated nation of three million might not apply to a mostly urban, mostly industrial, mostly global nation of three hundred million. In Constitutional Calculus, Suzuki guides us through the U.S. Constitution and American history to show how mathematics reveals our flaws, finds the answers we need, and moves us closer to our ideals. From the first presidential veto to the debate over mandatory drug testing, the National Security Agency's surveillance program, and the fate of death row inmates, Suzuki draws us into real-world debates and then reveals how math offers a superior compass for decision-making. Relying on iconic cases, including the convictions of the Scottsboro boys, League of United Latin American Citizens v. Perry, and Floyd v. City of New York, Suzuki shows that more math can lead to better justice, greater fairness, and a more stable democracy. Whether you are fascinated by history, math, social justice, or government, your interest will be piqued and satisfied by the convincing case Suzuki makes.

Sandlot Stats

Learning Statistics with Baseball

Author: Stanley Rothman

Publisher: JHU Press

ISBN: 1421406020

Category: Mathematics

Page: 586

View: 422

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As Derek Jeter strolls toward the plate, the announcer tosses out a smattering of statistics—from hitting streaks to batting averages. But what do the numbers mean? And how can America’s favorite pastime be a model for learning about statistics? Sandlot Stats is an innovative textbook that explains the mathematical underpinnings of baseball so that students can understand the world of statistics and probability. Carefully illustrated and filled with exercises and examples, this book teaches the fundamentals of probability and statistics through the feats of baseball legends such as Hank Aaron, Joe DiMaggio, and Ted Williams—and more recent players such as Barry Bonds, Albert Pujols, and Alex Rodriguez. Exercises require only pen-and-paper or Microsoft Excel to perform the analyses. Sandlot Stats covers all the bases, including• descriptive and inferential statistics• linear regression and correlation• probability• sports betting• probability distribution functions• sampling distributions• hypothesis testing• confidence intervals• chi-square distribution Sandlot Stats offers information covered in most introductory statistics books, yet is peppered with interesting facts from the history of baseball to enhance the interest of the student and make learning fun.

Understanding Topology

A Practical Introduction

Author: Shaun V. Ault

Publisher: JHU Press

ISBN: 142142407X

Category: Mathematics

Page: 416

View: 4511

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"Topology can present significant challenges for undergraduate students of mathematics and the sciences. 'Understanding topology' aims to change that. The perfect introductory topology textbook, 'Understanding topology' requires only a knowledge of calculus and a general familiarity with set theory and logic. Equally approachable and rigorous, the book's clear organization, worked examples, and concise writing style support a thorough understanding of basic topological principles. Professor Shaun V. Ault's unique emphasis on fascinating applications, from chemical dynamics to determining the shape of the universe, will engage students in a way traditional topology textbooks do not"--

An Introduction to Optimization

Author: Edwin K. P. Chong,Stanislaw H. Zak

Publisher: John Wiley & Sons

ISBN: 1118515153

Category: Mathematics

Page: 640

View: 1923

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Praise for the Third Edition ". . . guides and leads the reader through the learning path . . . [e]xamples are stated very clearly and the results are presented with attention to detail." —MAA Reviews Fully updated to reflect new developments in the field, the Fourth Edition of Introduction to Optimization fills the need for accessible treatment of optimization theory and methods with an emphasis on engineering design. Basic definitions and notations are provided in addition to the related fundamental background for linear algebra, geometry, and calculus. This new edition explores the essential topics of unconstrained optimization problems, linear programming problems, and nonlinear constrained optimization. The authors also present an optimization perspective on global search methods and include discussions on genetic algorithms, particle swarm optimization, and the simulated annealing algorithm. Featuring an elementary introduction to artificial neural networks, convex optimization, and multi-objective optimization, the Fourth Edition also offers: A new chapter on integer programming Expanded coverage of one-dimensional methods Updated and expanded sections on linear matrix inequalities Numerous new exercises at the end of each chapter MATLAB exercises and drill problems to reinforce the discussed theory and algorithms Numerous diagrams and figures that complement the written presentation of key concepts MATLAB M-files for implementation of the discussed theory and algorithms (available via the book's website) Introduction to Optimization, Fourth Edition is an ideal textbook for courses on optimization theory and methods. In addition, the book is a useful reference for professionals in mathematics, operations research, electrical engineering, economics, statistics, and business.

Mathematical Applications in Agriculture

Author: Nina H. Mitchell

Publisher: Cengage Learning

ISBN: 1133709141

Category: Science

Page: 297

View: 7450

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Students get the applied math skills they need for the modern farming industry with MATHEMATICAL APPLICATIONS IN AGRICULTURE, 2nd Edition. Invaluable in any area of agriculture-from livestock and dairy production to horticulture and agronomy -the text focuses on methods for solving problems students will encounter in the real world using math and logic skills. Clearly written and thoughtfully organized, the stand-alone chapters on mathematics involved in crop production, livestock production, horticulture, and financial management allow instructors flexibility in selecting the topics most appropriate to a given region, while line drawings, charts, graphs, case studies, examples, and sample problems help students grasp the concepts and hone their critical thinking skills. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Golf by the Numbers

How Stats, Math, and Physics Affect Your Game

Author: Roland Minton

Publisher: JHU Press

ISBN: 1421403153

Category: Mathematics

Page: 291

View: 310

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"How stats, math, and physics affect your game"--Jacket.

Leadership Across the Globe

Author: Vipin Gupta,Montgomery Van Wart

Publisher: Routledge

ISBN: 131748178X

Category: Business & Economics

Page: 524

View: 6204

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Leadership Across the Globe aims to serve a growing interest in how to lead in a global or cross-cultural environment. This book focuses on the corporate setting, with illustrations, theories, and evidence from various regions around the world. The book includes coverage of culture and diversity issues in leadership, as well as a comprehensive, detailed exploration of the comparative aspects of leadership. Generously illustrated with cases, boxed profiles, figures, and examples from a wide range of organizations, this is a relevant resource for anyone seeking a leadership career on a global scale, in multinational enterprises, or in a multi-cultural context.

A First Step to Mathematical Olympiad Problems

Author: Derek Holton

Publisher: World Scientific Publishing Company

ISBN: 9814365254

Category: Mathematics

Page: 292

View: 9535

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See also A SECOND STEP TO MATHEMATICAL OLYMPIAD PROBLEMS The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the first 8 of 15 booklets originally produced to guide students intending to contend for placement on their country's IMO team. The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions. Though A First Step to Mathematical Olympiad Problems is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions.

Simple Architectures for Complex Enterprises

Author: Roger Sessions

Publisher: Microsoft Press

ISBN: 0735646058

Category: Computers

Page: 208

View: 7965

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Dismantle the overwhelming complexity in your IT projects with strategies and real-world examples from a leading expert on enterprise architecture. This guide describes best practices for creating an efficient IT organization that consistently delivers on time, on budget, and in line with business needs. IT systems have become too complex—and too expensive. Complexity can create delays, cost overruns, and outcomes that do not meet business requirements. The resulting losses can impact your entire company. This guide demonstrates that, contrary to popular belief, complex problems demand simple solutions. The author believes that 50 percent of the complexity of a typical IT project can and should be eliminated—and he shows you how to do it. You’ll learn a model for understanding complexity, the three tenets of complexity control, and how to apply specific techniques such as checking architectures for validity. Find out how the author’s methodology could have saved a real-world IT project that went off track, and ways to implement his solutions in a variety of situations.

Taking Sudoku Seriously

The Math Behind the World's Most Popular Pencil Puzzle

Author: Jason Rosenhouse,Laura Taalman

Publisher: Oxford University Press

ISBN: 0199913153

Category: Mathematics

Page: 226

View: 7454

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Packed with more than a hundred color illustrations and a wide variety of puzzles and brainteasers, Taking Sudoku Seriously uses this popular craze as the starting point for a fun-filled introduction to higher mathematics. How many Sudoku solution squares are there? What shapes other than three-by-three blocks can serve as acceptable Sudoku regions? What is the fewest number of starting clues a sound Sudoku puzzle can have? Does solving Sudoku require mathematics? Jason Rosenhouse and Laura Taalman show that answering these questions opens the door to a wealth of interesting mathematics. Indeed, they show that Sudoku puzzles and their variants are a gateway into mathematical thinking generally. Among many topics, the authors look at the notion of a Latin square--an object of long-standing interest to mathematicians--of which Sudoku squares are a special case; discuss how one finds interesting Sudoku puzzles; explore the connections between Sudoku, graph theory, and polynomials; and consider Sudoku extremes, including puzzles with the maximal number of vacant regions, with the minimal number of starting clues, and numerous others. The book concludes with a gallery of novel Sudoku variations--just pure solving fun! Most of the puzzles are original to this volume, and all solutions to the puzzles appear in the back of the book or in the text itself. A math book and a puzzle book, Taking Sudoku Seriously will change the way readers look at Sudoku and mathematics, serving both as an introduction to mathematics for puzzle fans and as an exploration of the intricacies of Sudoku for mathematics buffs.

Across This Land

A Regional Geography of the United States and Canada

Author: John C. Hudson

Publisher: JHU Press

ISBN: 9780801865671

Category: Architecture

Page: 474

View: 9086

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Based on decades of research and written in clear, concise prose by one of the foremost geographers in North America, John C. Hudson's Across This Land is a comprehensive regional geography of the North American continent. Clearly organized, the book divides the entire United States and Canada into six major regions, then further subdivides them into twelve smaller areas. Hudson emphasizes each region or area's distinguishing place-specific attributes, including—to a larger degree than previous regional geographies—political considerations. In this way, the book tells the story of each region, relying on a brisk narrative that reveals the dynamic processes of their distinctive characteristics. The first extensive regional geography of the North American continent in over seventy-five years, Hudson's Across This Land will become the standard text in geography courses dealing with Canada and the U.S. as well as a popular reference work for scholars, students, and lay readers.

Life in the Chesapeake Bay

Author: Alice Jane Lippson,Robert L. Lippson

Publisher: JHU Press

ISBN: 9780801883378

Category: Nature

Page: 324

View: 3190

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Life in the Chesapeake Bay is the most important book ever published on America's largest estuary. Now in its third edition, the book has been updated with a new gallery of thirty-nine color photographs and dozens of new species descriptions and illustrations.

Mathematical Expeditions

Exploring Word Problems Across the Ages

Author: Frank J. Swetz

Publisher: JHU Press

ISBN: 1421404370

Category: Mathematics

Page: 192

View: 7700

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"A collection of over 500 culturally and historically diverse mathematical problems carefully chosen to enrich mathematics teaching from middle school through the college level."--Provided by publisher.