Expeditions In Mathematics

Author : Tatiana Shubin,David F. Hayes,Gerald L. Alexanderson
Publisher : MAA
Page : 328 pages
File Size : 45,6 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.

Author : Reinhard Laubenbacher,David Pengelley
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 54,6 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.

Author : Frank J. Swetz
Publisher : JHU Press
Page : 205 pages
File Size : 41,8 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.

Author : S. James Gates,,Cathie Pelletier
Publisher : PublicAffairs
Page : 368 pages
File Size : 53,9 Mb
Release : 2019-09-24
Category : Science
ISBN : 9781541762237

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Proving Einstein Right by S. James Gates,,Cathie Pelletier Pdf

A thrilling adventure story chronicling the perilous journey of the scientists who set out to prove the theory of relativity--the results of which catapulted Albert Einstein to fame and forever changed our understanding of the universe. In 1911, a relatively unknown physicist named Albert Einstein published his preliminary theory of gravity. But it hadn't been tested. To do that, he needed a photograph of starlight as it passed the sun during a total solar eclipse. So began a nearly decade-long quest by seven determined astronomers from observatories in four countries, who traveled the world during five eclipses to capture the elusive sight. Over the years, they faced thunderstorms, the ravages of a world war, lost equipment, and local superstitions. Finally, in May of 1919, British expeditions to northern Brazil and the island of Príncipe managed to photograph the stars, confirming Einstein's theory. At its heart, this is a story of frustration, faith, and ultimate victory--and of the scientists whose efforts helped build the framework for the big bang theory, catapulted Einstein to international fame, and shook the foundation of physics.

Author : Charles Stanley Ogilvy,John Timothy Anderson
Publisher : Courier Corporation
Page : 196 pages
File Size : 51,6 Mb
Release : 1988-01-01
Category : Mathematics
ISBN : 0486257789

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Excursions in Number Theory by Charles Stanley Ogilvy,John Timothy Anderson Pdf

Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.

Author : Peggy Akin,Kimberly Rimbey
Publisher : Unknown
Page : 128 pages
File Size : 40,8 Mb
Release : 2008-04-01
Category : Electronic
ISBN : 0981685617

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Expeditions to Numeracy by Peggy Akin,Kimberly Rimbey Pdf

Author : Kate Boehm Jerome,National Geographic Learning
Publisher : Unknown
Page : 0 pages
File Size : 49,7 Mb
Release : 2007-01-25
Category : Content area reading
ISBN : 0792245938

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Reading Expeditions (Science: Math Behind the Science): Thinking It Through by Kate Boehm Jerome,National Geographic Learning Pdf

Provides opportunities for students to develop and apply fundamental mathematical and scientific skills.

Author : Henrietta List
Publisher : Unknown
Page : 0 pages
File Size : 41,8 Mb
Release : 2009
Category : Education
ISBN : 0825165075

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Expeditions in Your Classroom by Henrietta List Pdf

Contains ten advanced classroom projects that teach students mathematical skills while they perform authentic tasks related to real-world problems, products, and people.

Author : Ernst Hairer,Gerhard Wanner
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 43,9 Mb
Release : 2008-05-30
Category : Mathematics
ISBN : 9780387770369

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Analysis by Its History by Ernst Hairer,Gerhard Wanner Pdf

This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. Many quotations are included to give the flavor of the history. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.

Author : Underwood Dudley
Publisher : American Mathematical Soc.
Page : 372 pages
File Size : 46,9 Mb
Release : 2019-07-11
Category : Mathematics
ISBN : 9781470451707

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Mathematical Cranks by Underwood Dudley Pdf

A delightful collection of articles about people who claim they have achieved the mathematically impossible (squaring the circle, duplicating the cube); people who think they have done something they have not (proving Fermat's Last Theorem); people who pray in matrices; people who find the American Revolution ruled by the number 57; people who have in common eccentric mathematical views, some mild (thinking we should count by 12s instead of 10s), some bizarre (thinking that second-order differential equations will solve all problems of economics, politics and philosophy). This is a truly uniqu.

Author : Michael Rand Hoare
Publisher : Routledge
Page : 288 pages
File Size : 47,9 Mb
Release : 2017-09-08
Category : History
ISBN : 9781351883313

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The Quest for the True Figure of the Earth by Michael Rand Hoare Pdf

In the 1730s two expeditions set out from Paris on extraordinary journeys; the first was destined for the equatorial region of Peru, the second headed north towards the Arctic Circle. Although the eighteenth century witnessed numerous such adventures, these expeditions were different. Rather than seeking new lands to conquer or mineral wealth to exploit, their primary objectives were scientific: to determine the Earth's precise shape by measuring the variation of a degree of latitude at points separated as nearly as possible by a whole quadrant of the globe between Equator and North Pole. Although such information had consequences for navigation and cartography, the motivation was not simply utilitarian. Rather it was one theme among many in an intellectual revolution in which advances in mathematics paralleled philosophical strife, and reputations of the living and the dead stood to be elevated or destroyed. In particular the two expeditions hoped to prove the correctness of Isaac Newton's prediction that the Earth is not a perfect sphere, but flattened at the poles. In this study, the 'Figure of the Earth' controversy is for the first time comprehensively explored in all its several dimensions. It shows how a largely neglected episode of European science, that produced no spectacular process or artefact - beyond a relatively minor improvement in maps - nevertheless represents an almost unique combination of theoretical prediction and empirical method. It also details the suffering of the two teams of scientists in very different extremes of climate, whose sacrifices for the sake of knowledge rather than colonial gain, caught the imagination of the literary world of the time.

Author : Frederick W. Stevenson
Publisher : National Council of Teachers of
Page : 168 pages
File Size : 48,8 Mb
Release : 1992
Category : Mathematics
ISBN : 0873533380

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Exploratory Problems in Mathematics by Frederick W. Stevenson Pdf

This book attempts to introduce students to the creative aspects of mathematics through exploratory problems. The introduction presents the criteria for the selection of the problems in the book. Criteria indicate that problems should: be immediately attractive, require data to be generated or gathered, appeal to students from junior high school to graduate school, involve fundamental mathematics concepts, have satisfying solutions, and suggest several other problems. Chapter 1 describes the exploratory process that includes an inductive phase, a deductive phase, and a creative phase. Chapter 2 illustrates this process in a problem incorporating the calculator in the exploration. All the problems in the book follow the same format. The format includes a paragraph about the problem, questions to be explored, and a suggested beginning for the exploration. Chapters 3, 4, and 5 describe three mathematical excursions that illustrate the format while demonstrating the power of calculators and computers in the process. Chapters 6, 7, and 8 present 60 problems in chapters entitled "Twenty Mathematical Excursions,""Twenty Mathematical Expeditions," and "Twenty Computer-assisted Explorations." The excursions are generally shorter and perhaps easier; the expeditions are more extensive and open ended; and the computer explorations need a programmable hand calculator or a computer. Explorations involve topics such as prime numbers, Fibonacci sequences, Pascal's triangle, continued fractions and chaos. A list of suggested readings has 22 entries. (MDH)

Author : Anthony Lo Bello
Publisher : JHU Press
Page : 369 pages
File Size : 46,6 Mb
Release : 2013-12-16
Category : Mathematics
ISBN : 9781421410999

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Origins of Mathematical Words by Anthony Lo Bello Pdf

The most comprehensive math root dictionary ever published. Outstanding Academic Title, Choice Do you ever wonder about the origins of mathematical terms such as ergodic, biholomorphic, and strophoid? Here Anthony Lo Bello explains the roots of these and better-known words like asymmetric, gradient, and average. He provides Greek, Latin, and Arabic text in its original form to enhance each explanation. This sophisticated, one-of-a-kind reference for mathematicians and word lovers is based on decades of the author's painstaking research and work. Origins of Mathematical Words supplies definitions for words such as conchoid (a shell-shaped curve derived from the Greek noun for "mussel") and zenith (Arabic for "way overhead"), as well as approximation (from the Latin proximus, meaning "nearest"). These and hundreds of other terms wait to be discovered within the pages of this mathematical and etymological treasure chest.

Author : Ellen Fried,National Geographic Learning
Publisher : Unknown
Page : 0 pages
File Size : 53,6 Mb
Release : 2007-01-25
Category : Chance
ISBN : 0792245903

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What's the Chance? by Ellen Fried,National Geographic Learning Pdf

Provides opportunities for students to develop and apply fundamental mathematical and scientific skills.

Author : Ronald Calinger
Publisher : Cambridge University Press
Page : 380 pages
File Size : 46,9 Mb
Release : 1996
Category : Mathematics
ISBN : 0883850974

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Vita Mathematica by Ronald Calinger Pdf

Enables teachers to learn the history of mathematics and then incorporate it in undergraduate teaching.