Mathematical Expeditions

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Mathematical Expeditions

Reinhard Laubenbacher,David Pengelley
Mathematical Expeditions Book PDF

Author : Reinhard Laubenbacher,David Pengelley
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 43,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461205234

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Mathematical Expeditions by Reinhard Laubenbacher,David Pengelley Pdf

The stories of five mathematical journeys into new realms, pieced together from the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of adventure, others by more practical motives. In each case the outcome was a vast expansion of the known mathematical world and the realisation that still greater vistas remain to be explored. The authors tell these stories by guiding readers through the very words of the mathematicians at the heart of these events, providing an insightinto the art of approaching mathematical problems. The five chapters are completely independent, with varying levels of mathematical sophistication, and will attract students, instructors, and the intellectually curious reader. By working through some of the original sources and supplementary exercises, which discuss and solve -- or attempt to solve -- a great problem, this book helps readers discover the roots of modern problems, ideas, and concepts, even whole subjects. Students will also see the obstacles that earlier thinkers had to clear in order to make their respective contributions to five central themes in the evolution of mathematics.

Mathematical Expeditions

Frank J. Swetz
Mathematical Expeditions Book PDF

Author : Frank J. Swetz
Publisher : JHU Press
Page : 205 pages
File Size : 48,9 Mb
Release : 2012-07-16
Category : Mathematics
ISBN : 9781421404370

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Mathematical Expeditions by Frank J. Swetz Pdf

"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.

Expeditions in Mathematics

Tatiana Shubin,David F. Hayes,Gerald L. Alexanderson
Expeditions in Mathematics Book PDF

Author : Tatiana Shubin,David F. Hayes,Gerald L. Alexanderson
Publisher : MAA
Page : 328 pages
File Size : 46,8 Mb
Release : 2011
Category : Mathematics
ISBN : 9780883855713

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Expeditions in Mathematics by Tatiana Shubin,David F. Hayes,Gerald L. Alexanderson Pdf

This book is the second volume based on lectures for pre-college students given by prominent mathematicians in the Bay Area Mathematical Adventures (BAMA). This book reflects the flavor of the BAMA lectures and the excitement they have generated among the high school and middle school students in the Silicon Valley. The topics cover a wide range of mathematical subjects each treated by a leading proponent of the subject at levels designed to challenge and attract students whose mathematical interests are just beginning. In addition, the treatments given here will intrigue and enchant a more mature mathematician. It is hoped that the publication of these lectures will expose students outside of the San Francisco Bay Area to interesting mathematical topics and treatments outside of their normal experience in the classroom. Mathematical educators are encouraged to offer the students in their own localities similar opportunities to come into contact with exciting adventures in mathematics.

Duel at Dawn

Amir Alexander
Duel at Dawn Book PDF

Author : Amir Alexander
Publisher : Harvard University Press
Page : 320 pages
File Size : 49,9 Mb
Release : 2011-10-15
Category : Mathematics
ISBN : 9780674061743

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Duel at Dawn by Amir Alexander Pdf

In the fog of a Paris dawn in 1832, ƒvariste Galois, the 20-year-old founder of modern algebra, was shot and killed in a duel. That gunshot, suggests Amir Alexander, marked the end of one era in mathematics and the beginning of another. Arguing that not even the purest mathematics can be separated from its cultural background, Alexander shows how popular stories about mathematicians are really morality tales about their craft as it relates to the world. In the eighteenth century, Alexander says, mathematicians were idealized as child-like, eternally curious, and uniquely suited to reveal the hidden harmonies of the world. But in the nineteenth century, brilliant mathematicians like Galois became Romantic heroes like poets, artists, and musicians. The ideal mathematician was now an alienated loner, driven to despondency by an uncomprehending world. A field that had been focused on the natural world now sought to create its own reality. Higher mathematics became a world unto itselfÑpure and governed solely by the laws of reason. In this strikingly original book that takes us from Paris to St. Petersburg, Norway to Transylvania, Alexander introduces us to national heroes and outcasts, innocents, swindlers, and martyrsÐall uncommonly gifted creators of modern mathematics.

Mathematical Masterpieces

Art Knoebel,Reinhard Laubenbacher,Jerry Lodder,David Pengelley
Mathematical Masterpieces Book PDF

Author : Art Knoebel,Reinhard Laubenbacher,Jerry Lodder,David Pengelley
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 43,6 Mb
Release : 2007-10-16
Category : Mathematics
ISBN : 9780387330624

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Mathematical Masterpieces by Art Knoebel,Reinhard Laubenbacher,Jerry Lodder,David Pengelley Pdf

Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.

An Introduction to Mathematical Cryptography

Jeffrey Hoffstein,Jill Pipher,J.H. Silverman
An Introduction to Mathematical Cryptography Book PDF

Author : Jeffrey Hoffstein,Jill Pipher,J.H. Silverman
Publisher : Springer Science & Business Media
Page : 533 pages
File Size : 52,5 Mb
Release : 2008-12-15
Category : Mathematics
ISBN : 9780387779942

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An Introduction to Mathematical Cryptography by Jeffrey Hoffstein,Jill Pipher,J.H. Silverman Pdf

An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a specific area of mathematical cryptography and provides an extensive list of exercises. It is a suitable text for advanced students in pure and applied mathematics and computer science, or the book may be used as a self-study. This book also provides a self-contained treatment of mathematical cryptography for the reader with limited mathematical background.

Discrete Mathematics

László Lovász,József Pelikán,Katalin Vesztergombi
Discrete Mathematics Book PDF

Author : László Lovász,József Pelikán,Katalin Vesztergombi
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 52,7 Mb
Release : 2006-05-10
Category : Mathematics
ISBN : 9780387217772

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Discrete Mathematics by László Lovász,József Pelikán,Katalin Vesztergombi Pdf

Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.

History in Mathematics Education

John Fauvel,J.A. van Maanen
History in Mathematics Education Book PDF

Author : John Fauvel,J.A. van Maanen
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 44,9 Mb
Release : 2006-04-11
Category : Education
ISBN : 9780306472206

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History in Mathematics Education by John Fauvel,J.A. van Maanen Pdf

This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.

Mathematics and Its History

John Stillwell
Mathematics and Its History Book PDF

Author : John Stillwell
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 47,7 Mb
Release : 2004-01-27
Category : Mathematics
ISBN : 0387953361

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Mathematics and Its History by John Stillwell Pdf

This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added as well as commentary that helps place the exercises in context.

The Best Writing on Mathematics 2013

Mircea Pitici
The Best Writing on Mathematics 2013 Book PDF

Author : Mircea Pitici
Publisher : Princeton University Press
Page : 273 pages
File Size : 55,8 Mb
Release : 2014-01-19
Category : Mathematics
ISBN : 9781400847990

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The Best Writing on Mathematics 2013 by Mircea Pitici Pdf

The year's finest writing on mathematics from around the world, with a foreword by Nobel Prize–winning physicist Roger Penrose This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2013 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Philip Davis offers a panoramic view of mathematics in contemporary society; Terence Tao discusses aspects of universal mathematical laws in complex systems; Ian Stewart explains how in mathematics everything arises out of nothing; Erin Maloney and Sian Beilock consider the mathematical anxiety experienced by many students and suggest effective remedies; Elie Ayache argues that exchange prices reached in open market transactions transcend the common notion of probability; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed mathematical physicist Roger Penrose and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

Crossroads in the History of Mathematics and Mathematics Education

Bharath Sriraman
Crossroads in the History of Mathematics and Mathematics Education Book PDF

Author : Bharath Sriraman
Publisher : IAP
Page : 383 pages
File Size : 52,5 Mb
Release : 2012-07-01
Category : Education
ISBN : 9781617357060

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Crossroads in the History of Mathematics and Mathematics Education by Bharath Sriraman Pdf

The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at undergraduate mathematics education, particularly in the teaching and learning of the history of mathematics and other undergraduate topics. In this monograph, the chapters cover topics such as the development of Calculus through the actuarial sciences and map making, logarithms, the people and practices behind real world mathematics, and fruitful ways in which the history of mathematics informs mathematics education. The book is meant to serve as a source of enrichment for undergraduate mathematics majors and for mathematics education courses aimed at teachers.

Great Feuds in Mathematics

Hal Hellman
Great Feuds in Mathematics Book PDF

Author : Hal Hellman
Publisher : Turner Publishing Company
Page : 292 pages
File Size : 41,8 Mb
Release : 2010-12-17
Category : Mathematics
ISBN : 9781118040119

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Great Feuds in Mathematics by Hal Hellman Pdf

Praise for Hal Hellman Great Feuds in Mathematics "Those who think that mathematicians are cold, mechanical proving machines will do well to read Hellman's book on conflicts in mathematics. The main characters are as excitable and touchy as the next man. But Hellman's stories also show how scientific fights bring out sharper formulations and better arguments." -Professor Dirk van Dalen, Philosophy Department, Utrecht University Great Feuds in Technology "There's nothing like a good feud to grab your attention. And when it comes to describing the battle, Hal Hellman is a master." -New Scientist Great Feuds in Science "Unusual insight into the development of science . . . I was excited by this book and enthusiastically recommend it to general as well as scientific audiences." -American Scientist "Hellman has assembled a series of entertaining tales . . . many fine examples of heady invective without parallel in our time." -Nature Great Feuds in Medicine "This engaging book documents [the] reactions in ten of the most heated controversies and rivalries in medical history. . . . The disputes detailed are . . . fascinating. . . . It is delicious stuff here." -The New York Times "Stimulating." -Journal of the American Medical Association

Deleuze and the History of Mathematics

Simon Duffy
Deleuze and the History of Mathematics Book PDF

Author : Simon Duffy
Publisher : A&C Black
Page : 225 pages
File Size : 50,9 Mb
Release : 2013-05-09
Category : Philosophy
ISBN : 9781441113894

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Deleuze and the History of Mathematics by Simon Duffy Pdf

Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon B.Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seemingly incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.

Journey through Mathematics

Enrique A. González-Velasco
Journey through Mathematics Book PDF

Author : Enrique A. González-Velasco
Publisher : Springer Science & Business Media
Page : 479 pages
File Size : 43,8 Mb
Release : 2011-08-08
Category : Mathematics
ISBN : 9780387921549

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Journey through Mathematics by Enrique A. González-Velasco Pdf

This book offers an accessible and in-depth look at some of the most important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math.

ALTERNATIVE FORMS OF KNOWING (IN) MATHEMATICS

Swapna Mukhopadhyay,Wolff-Michael Roth
ALTERNATIVE FORMS OF KNOWING IN MATHEMATICS Book PDF

Author : Swapna Mukhopadhyay,Wolff-Michael Roth
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 45,5 Mb
Release : 2012-12-28
Category : Education
ISBN : 9789460919213

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ALTERNATIVE FORMS OF KNOWING (IN) MATHEMATICS by Swapna Mukhopadhyay,Wolff-Michael Roth Pdf

This book grew out of a public lecture series, Alternative forms of knowledge construction in mathematics, conceived and organized by the first editor, and held annually at Portland State University from 2006. Starting from the position that mathematics is a human construction, implying that it cannot be separated from its historical, cultural, social, and political contexts, the purpose of these lectures was to provide a public intellectual space to interrogate conceptions of mathematics and mathematics education, particularly by looking at mathematical practices that are not considered relevant to mainstream mathematics education. One of the main thrusts was to contemplate the fundamental question of whose mathematics is to be valorized in a multicultural world, a world in which, as Paolo Freire said, “The intellectual activity of those without power is always characterized asnon-intellectual”. To date, nineteen scholars (including the second editor) have participated in the series. All of the lectures have been streamed for global dissemination at:http://www.media.pdx.edu/dlcmedia/events/AFK/. Most of the speakers contributed a chapter to this book, based either on their original talk or on a related topic. The book is divided into four sections dealing with: • Mathematics and the politics of knowledge • Ethnomathematics • Learning to see mathematically • Mathematics education for social justice.