David Singmaster's Books

Adventures in Group Theory

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

By: David Joyner

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Adventures in Group Theory

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

By: David Joyner

This updated and revised edition of David Joyner’s entertaining “hands-on” tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys. Joyner uses permutation puzzles such as the Rubik’s Cube and its variants, the 15 puzzle, the Rainbow Masterball, Merlin’s Machine, the Pyraminx, and the Skewb to explain the basics of introductory algebra and group theory. Subjects covered include the Cayley graphs, symmetries, isomorphisms, wreath products, free groups, and finite fields of group theory, as well as algebraic matrices, combinatorics, and permutations. 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.

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Page Count

330

Publisher

JHU Press

Published Date

ISBN 10

0801897262

ISBN 13

9780801897269

Handbook of Cubik Math

By: Alexander H Frey Jr,David Singmaster

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Handbook of Cubik Math

By: Alexander H Frey Jr,David Singmaster

The Handbook of Cubic Math unveils the theory involved in Rubik's Cube's solution, the potential applications of that theory to other similar puzzles, and how the cube provides a physical example for many concepts in mathematics where such examples are difficult to find. Nonetheless, the authors have been able to cover and explain these topics in a way which is easily understandable to the layman, suitable for a junior-high-school or high-school course in math, and appropriate for a college course in modern algebra. This manual will satisfy the experts' curiosity about the moves that lead to the solution of the cube and will offer a useful supplementary teaching aid to the beginners.

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193

Publisher

Lutterworth Press

Published Date

ISBN 10

0718848241

ISBN 13

9780718848248

The Universal Book of Mathematics

From Abracadabra to Zeno's Paradoxes

By: David Darling

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The Universal Book of Mathematics

From Abracadabra to Zeno's Paradoxes

By: David Darling

Praise for David Darling The Universal Book of Astronomy "A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended." -Library Journal "A comprehensive survey and . . . a rare treat." -Focus The Complete Book of Spaceflight "Darling's content and presentation will have any reader moving from entry to entry." -The Observatory magazine Life Everywhere "This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable." -Science Books & Films "An enthralling introduction to the new science of astrobiology." -Lynn Margulis Equations of Eternity "One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently." -The New York Times Deep Time "A wonderful book. The perfect overview of the universe." -Larry Niven

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692

Publisher

Turner Publishing Company

Published Date

ISBN 10

0470307889

ISBN 13

9780470307885

The Penguin Dictionary of Curious and Interesting Numbers

By: David Wells

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The Penguin Dictionary of Curious and Interesting Numbers

By: David Wells

Provides information on numbers and what makes particular ones noteworthy

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260

Publisher

Penguin

Published Date

ISBN 10

0140261494

ISBN 13

9780140261493

Artificial Intelligence and Problem Solving

By: Danny Kopec,Christopher Pileggi,David Ungar,Shweta Shetty

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Artificial Intelligence and Problem Solving

By: Danny Kopec,Christopher Pileggi,David Ungar,Shweta Shetty

This book lends insight into solving some well-known AI problems using the most efficient problem-solving methods by humans and computers. The book discusses the importance of developing critical-thinking methods and skills, and develops a consistent approach toward each problem. This book assembles in one place a set of interesting and challenging AI–type problems that students regularly encounter in computer science, mathematics, and AI courses. These problems are not new, and students from all backgrounds can benefit from the kind of deductive thinking that goes into solving them. The book is especially useful as a companion to any course in computer science or mathematics where there are interesting problems to solve. Features: •Addresses AI and problem-solving from different perspectives •Covers classic AI problems such as Sudoku, Map Coloring, Twelve Coins, Red Donkey, Cryptarithms, Monte Carlo Methods, Rubik’s Cube, Missionaries/Cannibals, Knight’s Tour, Monty Hall, and more •Includes a companion disc with source code, solutions, figures, and more •Offers playability sites where students can exercise the process of developing their solutions •Describes problem-solving methods that might be applied to a variety of situations eBook Customers: Companion files are available for downloading with order number/proof of purchase by writing to the publisher at info@merclearning.com.

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343

Publisher

Mercury Learning and Information

Published Date

ISBN 10

1944534687

ISBN 13

9781944534684

On the Edge of Freedom

The Fugitive Slave Issue in South Central Pennsylvania, 1820–1870

By: David G. Smith

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On the Edge of Freedom

The Fugitive Slave Issue in South Central Pennsylvania, 1820–1870

By: David G. Smith

This groundbreaking Civil War history illuminates the unique development of antislavery sentiment in the border region of south central Pennsylvania. During the antebellum decades every single fugitive slave escaping by land east of the Appalachian Mountains had to pass through south central Pennsylvania, where they faced both significant opportunities and substantial risks. While the hundreds of fugitives traveling through Adams, Franklin, and Cumberland counties were aided by an effective Underground Railroad, they also faced slave catchers and informers. In On the Edge of Freedom, historian David G. Smith traces the victories of antislavery activists in south central Pennsylvania, including the achievement of a strong personal liberty law and the aggressive prosecution of kidnappers who seized African Americans as fugitives. He also documents how their success provoked Southern retaliation and the passage of a strengthened Fugitive Slave Law in 1850. Smith explores the fugitive slave issue through fifty years of sectional conflict, war, and reconstruction in south central Pennsylvania and provocatively questions what was gained by emphasizing fugitive protection over immediate abolition and full equality. Smith argues that after the war, social and demographic changes in southern Pennsylvania worked against African Americans’ achieving equal opportunity. Although local literature portrayed this area as a vanguard of the Underground Railroad, African Americans still lived “on the edge of freedom.” Winner of the Hortense Simmons Prize

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451

Publisher

Fordham Univ Press

Published Date

ISBN 10

0823263967

ISBN 13

9780823263967

Prime Numbers

The Most Mysterious Figures in Math

By: David Wells

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Prime Numbers

The Most Mysterious Figures in Math

By: David Wells

A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? How do twin primes differ from cousin primes, and what on earth (or in the mind of a mathematician) could be sexy about prime numbers? What did Albert Wilansky find so fascinating about his brother-in-law's phone number? Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions. In Prime Numbers: The Most Mysterious Figures in Math, you'll meet the world's most gifted mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you'll discover a host of unique insights and inventive conjectures that have both enlarged our understanding and deepened the mystique of prime numbers. This comprehensive, A-to-Z guide covers everything you ever wanted to know--and much more that you never suspected--about prime numbers, including: * The unproven Riemann hypothesis and the power of the zeta function * The "Primes is in P" algorithm * The sieve of Eratosthenes of Cyrene * Fermat and Fibonacci numbers * The Great Internet Mersenne Prime Search * And much, much more

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260

Publisher

Turner Publishing Company

Published Date

ISBN 10

1118045718

ISBN 13

9781118045718

The Spirit of Mathematics

Algebra and All That

By: David Acheson

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The Spirit of Mathematics

Algebra and All That

By: David Acheson

What makes mathematics so special? Whether you have anxious memories of the subject from school, or solve quadratic equations for fun, David Acheson's book will make you look at mathematics afresh. Following on from his previous bestsellers, The Calculus Story and The Wonder Book of Geometry, here Acheson highlights the power of algebra, combining it with arithmetic and geometry to capture the spirit of mathematics. This short book encompasses an astonishing array of ideas and concepts, from number tricks and magic squares to infinite series and imaginary numbers. Acheson's enthusiasm is infectious, and, as ever, a sense of quirkiness and fun pervades the book. But it also seeks to crystallize what is special about mathematics: the delight of discovery; the importance of proof; and the joy of contemplating an elegant solution. Using only the simplest of materials, it conjures up the depth and the magic of the subject.

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193

Publisher

Oxford University Press

Published Date

ISBN 10

019284508X

ISBN 13

9780192845085

Applied Abstract Algebra

By: David Joyner,Richard Kreminski,Joann Turisco

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Applied Abstract Algebra

By: David Joyner,Richard Kreminski,Joann Turisco

With the advent of computers that can handle symbolic manipulations, abstract algebra can now be applied. In this book 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. They cover basic topics such as the Euclidean algorithm, encryption, and permutations. Hamming codes and Reed-Solomon codes used on today's CDs are also discussed. The authors present examples as diverse as "Rotation," available on the Nokia 7160 cell phone, bell ringing, and the game of NIM. In place of the standard treatment of group theory, which emphasizes the classification of groups, the authors highlight examples and computations. Cyclic groups, the general linear group GL(n), and the symmetric groups are emphasized. With its clear writing style and wealth of examples, Applied Abstract Algebra will be welcomed by mathematicians, computer scientists, and students alike. 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.

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346

Publisher

JHU Press

Published Date

ISBN 10

0801878225

ISBN 13

9780801878220

The Wonder Book of Geometry

A Mathematical Story

By: David Acheson

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The Wonder Book of Geometry

A Mathematical Story

By: David Acheson

David Acheson transports us into the world of geometry, one of the oldest branches of mathematics. He describes its history, from ancient Greece to the present day, and its emphasis on proofs. With its elegant deduction and practical applications, he demonstrates how geometry offers the quickest route to the spirit of mathematics at its best.

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289

Publisher

Oxford University Press, USA

Published Date

ISBN 10

019884638X

ISBN 13

9780198846383

Caribbean Lutherans

The History of the Church in Puerto Rico

By: José David Rodríguez

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Caribbean Lutherans

The History of the Church in Puerto Rico

By: José David Rodríguez

Caribbean Lutherans tells the story of the Lutheran church in Puerto Rico from a Caribbean perspective. Rodríguez intersperses archival research with cogent commentary and personal accounts, highlighting the power and agency of Puerto Rican and West Indian Lutherans amid the multifaceted legacy of Euro-American missionary efforts on the island. Readers may not be surprised to learn that the first Lutheran missionary in Puerto Rico was a Swedish American Lutheran; they may not be aware, however, that his welcome and success on the island were dependent on the hospitality of an Afro-Caribbean tailor from Jamaica. A winding journey of interactions among American Lutheran synods and a growing Puerto Rican church generated partnerships, tensions, and possibilities that continue to the present. Puerto Rico and neighboring islands joined the United Lutheran Church in America as the Caribbean Synod in 1952. Today, they remain part of the current Evangelical Lutheran Church in America while many other Protestant denominations on the island have formed Puerto Rican "national" churches. Rodríguez explores the continuing tensions inherent in this legacy, bringing both academic expertise and personal experience to this first comprehensive account of the Lutheran church in Puerto Rico.

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243

Publisher

Fortress Press

Published Date

ISBN 10

1506496199

ISBN 13

9781506496191

The Amish in the American Imagination

By: David Weaver-Zercher

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The Amish in the American Imagination

By: David Weaver-Zercher

Enveloped in mystery, Amish culture has remained a captivating topic within mainstream American culture. In this volume, David Weaver-Zercher explores how Americans throughout the 20th century reacted to and interpreted the Amish. Through an examination of a variety of visual and textual sources, Weaver-Zercher explores how diverse groups - ranging from Mennonites to Hollywood producers - represented and understood the Amish.

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Page Count

316

Publisher

JHU Press

Published Date

ISBN 10

0801866812

ISBN 13

9780801866814

Handbook of Mathematical Induction

Theory and Applications

By: David S. Gunderson

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Handbook of Mathematical Induction

Theory and Applications

By: David S. Gunderson

Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.In the first part of the book, the author discuss

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Page Count

894

Publisher

CRC Press

Published Date

ISBN 10

1420093657

ISBN 13

9781420093650

The School Story

Young Adult Narratives in the Age of Neoliberalism

By: David Aitchison

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The School Story

Young Adult Narratives in the Age of Neoliberalism

By: David Aitchison

The School Story: Young Adult Narratives in the Age of Neoliberalism examines the work of contemporary writers, filmmakers, and critics who, reflecting on the realm of school experience, help to shape dominant ideas of school. The creations discussed are mostly stories for children and young adults. David Aitchison looks at serious novels for teens including Laurie Halse Anderson’s Speak and Faiza Guène’s Kiffe Kiffe Tomorrow, the light-hearted, middle-grade fiction of Andrew Clements and Tommy Greenwald, and Malala Yousafzai’s autobiography for young readers, I Am Malala. He also responds to stories that take young people as their primary subjects in such novels as Sapphire’s Push and films including Battle Royale and Cooties. Though ranging widely in their accounts of young life, such stories betray a mounting sense of crisis in education around the world, especially in terms of equity (the extent to which students from diverse backgrounds have fair chances of receiving quality education) and empowerment (the extent to which diverse students are encouraged to gain strength, confidence, and selfhood as learners). Drawing particular attention to the influence of neoliberal initiatives on school experience, this book considers what it means when learning and success are measured more and more by entrepreneurship, competitive individualism, and marketplace gains. Attentive to the ways in which power structures, institutional routines, school spaces, and social relations operate in the contemporary school story, The School Story offers provocative insights into a genre that speaks profoundly to the increasingly precarious position of education in the twenty-first century.

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Page Count

150

Publisher

Univ. Press of Mississippi

Published Date

ISBN 10

1496837649

ISBN 13

9781496837646

Multiobjective Problem Solving from Nature

From Concepts to Applications

By: Joshua Knowles,David Corne,Kalyanmoy Deb

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Multiobjective Problem Solving from Nature

From Concepts to Applications

By: Joshua Knowles,David Corne,Kalyanmoy Deb

This text examines how multiobjective evolutionary algorithms and related techniques can be used to solve problems, particularly in the disciplines of science and engineering. Contributions by leading researchers show how the concept of multiobjective optimization can be used to reformulate and resolve problems in areas such as constrained optimization, co-evolution, classification, inverse modeling, and design.

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413

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540729631

ISBN 13

9783540729631

A Primer of the Novel

For Readers and Writers

By: David Madden,Charles Bane,Sean M. Flory

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A Primer of the Novel

For Readers and Writers

By: David Madden,Charles Bane,Sean M. Flory

When the first edition of David Madden's A Primer of the Novel: For Readers and Writers was published more than twenty-five years ago, there were no other books of its kind available. Since then, many authors and editors have produced works that attempt the same comprehensive coverage of the genre. However, these works tend to be either written solely for writers or solely for readers. More often than not, those written for readers tend to be aimed at advanced students or critics of the novel. In this revised edition, David Madden, Charles Bane and Sean Flory have produced an updated work that is intended for a general readership including writers, teachers, and students who are just being introduced to the genre. This unique handbook provides a definition and history of the novel, a description of early narratives, and a discussion of critical approaches to this literary form. A Primer of the Novel also identifies terms, definitions, commentary, and examples in the form of quotations for almost 50 types of novels and 15 artistic techniques. A chronology of narrative in general and of the novel in particular—from 850 B. C. to the present—is also included, along with indexes to authors, titles, novel types and techniques, as well as a selective bibliography of criticism. Although all novel types present in the first edition are still represented, many have become more clearly defined. This revised edition also cites several types of novels that did not appear in the first edition, such as the graphic novel and the novel of Magical Realism. As well as keeping all of the original examples from representative texts, the authors have added new examples of more recent works. While this book was conceived for a general audience, it will be a valuable resource for students, teachers, and libraries. It may be used in any English literature courses at any level, including graduate, and is suited for creative writing courses as well. With its clear and immediately accessible features, this handbo

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301

Publisher

Scarecrow Press

Published Date

ISBN 10

1461655978

ISBN 13

9781461655978

Games and Mathematics

Subtle Connections

By: David Wells

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Games and Mathematics

Subtle Connections

By: David Wells

The appeal of games and puzzles is timeless and universal. In this unique book, David Wells explores the fascinating connections between games and mathematics, proving that mathematics is not just about tedious calculation but imagination, insight and intuition. The first part of the book introduces games, puzzles and mathematical recreations, including knight tours on a chessboard. The second part explains how thinking about playing games can mirror the thinking of a mathematician, using scientific investigation, tactics and strategy, and sharp observation. Finally the author considers game-like features found in a wide range of human behaviours, illuminating the role of mathematics and helping to explain why it exists at all. This thought-provoking book is perfect for anyone with a thirst for mathematics and its hidden beauty; a good high school grounding in mathematics is all the background that is required, and the puzzles and games will suit pupils from 14 years.

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Page Count

257

Publisher

Cambridge University Press

Published Date

ISBN 10

1139561065

ISBN 13

9781139561068

Of Popes and Unicorns

Science, Christianity, and How the Conflict Thesis Fooled the World

By: David Hutchings,James C. Ungureanu

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Of Popes and Unicorns

Science, Christianity, and How the Conflict Thesis Fooled the World

By: David Hutchings,James C. Ungureanu

This is the story of John Draper, Andrew White, and the conflict thesis: a centuries-old misconception that religion and science are at odds with one another. Renowned scientist John William Draper (1811-1882) and celebrated historian-politician Andrew Dickson White (1832-1918) were certain that Enlightened Science and Dogmatic Christianity were mortal enemies--and they said as much to anyone who would listen. More than a century later, their grand and sweeping version of history dominates our landscape; Draper and White's conflict thesis is still found in countless textbooks, lecture series, movies, novels, and more. Yet, as it would later be discovered, they were mistaken. Their work has been torn to shreds by the experts, who have declared it totally at odds with reality. So how, if this is the case, does their wrongheaded narrative still live on? Who were these two men, and what, exactly, did they say? What is it about their God-versus-Science conflict thesis that convinced so many? And what--since both claimed to love Science and love Christ--were they actually trying to achieve in the first place? In this book, physicist David Hutchings and historian of science and religion James C. Ungureanu dissect the work of Draper and White. They take readers on a journey through time, diving into the formation and fallacy of the conflict thesis and its polarizing impact on society. The result is a tale of Flat Earths, of anesthetic, and of autopsies; of Creation and Evolution; of laser-eyed lizards and infinite worlds. It is a story of miracles and mathematicians; souls and Great Libraries; the Greeks, the scientific method, the Not-So-Dark-After-All Ages... and, of course, of popes and unicorns.

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Page Count

281

Publisher

Oxford University Press

Published Date

ISBN 10

0190053097

ISBN 13

9780190053093

The Cambridge History of Science: Volume 2, Medieval Science

By: David C. Lindberg,Michael H. Shank

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The Cambridge History of Science: Volume 2, Medieval Science

By: David C. Lindberg,Michael H. Shank

This volume in the highly respected Cambridge History of Science series is devoted to the history of science in the Middle Ages from the North Atlantic to the Indus Valley. Medieval science was once universally dismissed as non-existent - and sometimes it still is. This volume reveals the diversity of goals, contexts and accomplishments in the study of nature during the Middle Ages. Organized by topic and culture, its essays by distinguished scholars offer the most comprehensive and up-to-date history of medieval science currently available. Intended to provide a balanced and inclusive treatment of the medieval world, contributors consider scientific learning and advancement in the cultures associated with the Arabic, Greek, Latin and Hebrew languages. Scientists, historians and other curious readers will all gain a new appreciation for the study of nature during an era that is often misunderstood.

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865

Publisher

Cambridge University Press

Published Date

ISBN 10

1316025470

ISBN 13

9781316025475

Low-Grade and Nonconventional Sources of Manganese (Routledge Revivals)

By: David B. Brookes

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Low-Grade and Nonconventional Sources of Manganese (Routledge Revivals)

By: David B. Brookes

This book, first published in 1966, reports the results of a pilot study devoted to understanding the middle-term resource situation for one metal – manganese. Two factors bring the different parts of the manganese supply-demand picture together, one economic and the other political, both of which are examined in detail in this report. Low-Grade and Nonconventional Sources of Manganese will be of interest to students of environmental studies.

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Routledge

Published Date

ISBN 10

1317516990

ISBN 13

9781317516996

Mathematics Problem-solving Challenges For Secondary School Students And Beyond

By: Alan Sultan,David L Linker

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Mathematics Problem-solving Challenges For Secondary School Students And Beyond

By: Alan Sultan,David L Linker

This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels.Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond.

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196

Publisher

World Scientific

Published Date

ISBN 10

981473005X

ISBN 13

9789814730051

Tales of Impossibility

The 2000-Year Quest to Solve the Mathematical Problems of Antiquity

By: David S. Richeson

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Tales of Impossibility

The 2000-Year Quest to Solve the Mathematical Problems of Antiquity

By: David S. Richeson

A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.

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Page Count

450

Publisher

Princeton University Press

Published Date

ISBN 10

0691218722

ISBN 13

9780691218724

Science and Corporate Strategy

Du Pont R and D, 1902-1980

By: David A. Hounshell,John Kenley Smith,John Kenly Smith

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Science and Corporate Strategy

Du Pont R and D, 1902-1980

By: David A. Hounshell,John Kenley Smith,John Kenly Smith

This book provides a comprehensive, critical study of research and development in a large US corporation.

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776

Publisher

Cambridge University Press

Published Date

ISBN 10

0521327679

ISBN 13

9780521327671

Pi: The Next Generation

A Sourcebook on the Recent History of Pi and Its Computation

By: David H. Bailey,Jonathan M. Borwein

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Pi: The Next Generation

A Sourcebook on the Recent History of Pi and Its Computation

By: David H. Bailey,Jonathan M. Borwein

This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science. The collection begins with a Foreword by Bruce Berndt. Each contribution is preceded by a brief summary of its content as well as a short key word list indicating how the content relates to others in the collection. The volume includes articles on actual computations of pi, articles on mathematical questions related to pi (e.g., “Is pi normal?”), articles presenting new and often amazing techniques for computing digits of pi (e.g., the “BBP” algorithm for pi, which permits one to compute an arbitrary binary digit of pi without needing to compute any of the digits that came before), papers presenting important fundamental mathematical results relating to pi, and papers presenting new, high-tech techniques for analyzing pi (i.e., new graphical techniques that permit one to visually see if pi and other numbers are “normal”). This volume is a companion to Pi: A Source Book whose third edition released in 2004. The present collection begins with 2 papers from 1976, published by Eugene Salamin and Richard Brent, which describe “quadratically convergent” algorithms for pi and other basic mathematical functions, derived from some mathematical work of Gauss. Bailey and Borwein hold that these two papers constitute the beginning of the modern era of computational mathematics. This time period (1970s) also corresponds with the introduction of high-performance computer systems (supercomputers), which since that time have increased relentlessly in power, by approximately a factor of 100,000,000, advancing roughly at the same rate as Moore’s Law of semiconductor technology. This book may be of interest to a wide range of mathematical readers; some articles cover more advanced research questions suitable for active researchers in the field, but several are highly accessible to undergraduate mathematics students.

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509

Publisher

Springer

Published Date

ISBN 10

3319323776

ISBN 13

9783319323770

In Synchrony with the Heavens, Volume 2 Instruments of Mass Calculation

(Studies X-XVIII)

By: David King

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In Synchrony with the Heavens, Volume 2 Instruments of Mass Calculation

(Studies X-XVIII)

By: David King

This is the first investigation of one of the main interests of astronomy in Islamic civilization, namely, timekeeping by the sun and stars and the regulation of the astronomically-defined times of Muslim prayer. The study is based on over 500 medieval astronomical manuscripts first identified by the author, now preserved in libraries all over the world and originally from the entire Islamic world from the Maghrib to Central Asia and the Yemen. The materials presented provide new insights into the early development of the prayer ritual in Islam. They also call into question the popular notion that religion could not inspire serious scientific activity. Only one of the hundreds of astronomical tables discussed here was known in medieval Europe, which is one reason why the entire corpus has remained unknown until the present. A second volume, also to be published by Brill, deals with astronomical instruments for timekeeping and other computing devices.

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Page Count

1142

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BRILL

Published Date

ISBN 10

9047406753

ISBN 13

9789047406754

Book's by David Singmaster

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