Mathematical Treks

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Math Trek

Author : Ivars Peterson,Nancy Henderson
Publisher : John Wiley & Sons
Page : 127 pages
File Size : 51,8 Mb
Release : 1999-10-14
Category : Juvenile Nonfiction
ISBN : 9780471315704

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Math Trek by Ivars Peterson,Nancy Henderson Pdf

There s a new amusement park in town. Come on in and find out allthe exciting ways you can have fun with math in everyday life.Wander through the fractal forest, take a ride on the M?obius-striproller coaster, and get dizzy learning about how math makes theTilt-A-Whirl possible. The more activities you try, the more you lllearn how cool it can be to see the world through the eyes of amathematician. Once you ve sampled some of the interesting and unique projects inMath Trek, from untangling unknots to winning games with weird diceto figuring out secret codes, you ll see that every trip to theMathZone is an exciting adventure!

Treks Into Intuitive Geometry

Author : J. Akiyama
Publisher : Springer Nature
Page : 642 pages
File Size : 47,8 Mb
Release : 2024
Category : Geometry
ISBN : 9789819986088

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Treks Into Intuitive Geometry by J. Akiyama Pdf

This book is written in a style that uncovers the mathematical theories hidden in our daily lives, using examples of patterns that appear in nature, arts, traditional crafts, as well as mathematical mechanics in architectural techniques. The authors believe that through conversations between students and mathematicians, readers may learn about the methods used by the originators of these theoriestheir trials, errors, and triumphsin reaching their various conclusions. The goal is to help readers refine their mathematical sense in terms of formulating valuable questions and pursuing them. In addition, the book aims to provide enjoyment in the application of mathematical principles to beautiful art and design by using examples that highlight the wonders and mysteries of these works found in our daily lives. To achieve these goals, the book tackles the latest exquisite results on polygons and polyhedra and the dynamic history of geometric research found around us. The term "intuitive geometry" was coined by Lszlo Fejes Tth and refers to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book enables readers to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity. In this second edition, many new results, and elegant proofs on a variety of topics have been added, enhancing the books rich content even further.

Using the Mathematics Literature

Author : Kristine K. Fowler
Publisher : CRC Press
Page : 475 pages
File Size : 44,8 Mb
Release : 2004-05-25
Category : Language Arts & Disciplines
ISBN : 9781482276442

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Using the Mathematics Literature by Kristine K. Fowler Pdf

This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathemati

Five Hundred Mathematical Challenges

Author : Edward J. Barbeau,Edward Barbeau,Murray S. Klamkin,W. O. J. Moser
Publisher : MAA
Page : 244 pages
File Size : 49,6 Mb
Release : 1995
Category : Mathematics
ISBN : 0883855194

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Five Hundred Mathematical Challenges by Edward J. Barbeau,Edward Barbeau,Murray S. Klamkin,W. O. J. Moser Pdf

Contains 500 problems ranging over a wide spectrum of mathematics and of levels of difficulty.

Sophie’s Diary

Author : Dora Musielak
Publisher : American Mathematical Society
Page : 293 pages
File Size : 47,6 Mb
Release : 2022-08-11
Category : Mathematics
ISBN : 9781470471569

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Sophie’s Diary by Dora Musielak Pdf

Sophie Germain overcame gender stigmas and a lack of formal education to prove that for all prime exponents less than 100 Case I of Fermat's Last Theorem holds. Hidden behind a man's name, her brilliance as mathematician was first discovered by three of the greatest scholars of the eighteenth century, Lagrange, Gauss, and Legendre. In Sophie's Diary, Germain comes to life through a fictionalized journal that intertwines mathematics with historical descriptions of the brutal events that took place in Paris between 1789 and 1793. This format provides a plausible perspective of how a young Sophie could have learned mathematics on her own—both fascinated by numbers and eager to master tough subjects without a teacher's guidance. Her passion for mathematics is integrated into her personal life as an escape from societal outrage. Sophie's Diary is suitable for a variety of readers—both young and old, mathematicians and novices—who will be inspired and enlightened on a field of study made easy, as told through the intellectual and personal struggles of an exceptional young woman.

Expeditions in Mathematics

Author : Tatiana Shubin,David F. Hayes,Gerald L. Alexanderson
Publisher : MAA
Page : 328 pages
File Size : 40,5 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.

History of Mathematics: Highways and Byways

Author : Amy Dahan-Dalmedico,Jeanne Pieffer
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 44,6 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457464

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History of Mathematics: Highways and Byways by Amy Dahan-Dalmedico,Jeanne Pieffer Pdf

American Mathematics 1890-1913

Author : Steve Batterson
Publisher : The Mathematical Association of America
Page : 244 pages
File Size : 48,6 Mb
Release : 2017-06-29
Category : Mathematics
ISBN : 9780883855904

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American Mathematics 1890-1913 by Steve Batterson Pdf

At the turn of the twentieth century, mathematical scholarship in the United States underwent a stunning transformation. In 1890 no American professor was producing mathematical research worthy of international attention. Graduate students were then advised to pursue their studies abroad. By the start of World War I the standing of American mathematics had radically changed. George David Birkhoff, Leonard Dickson, and others were turning out cutting edge investigations that attracted notice in the intellectual centers of Europe. Harvard, Chicago, and Princeton maintained graduate programs comparable to those overseas. This book explores the people, timing, and factors behind this rapid advance. Through the mid-nineteenth century most American colleges followed a classical curriculum that, in mathematics, rarely reached beyond calculus. With no doctoral programs of any sort in the United States until 1860, mathematical scholarship lagged far behind that in Europe. After the Civil War, visionary presidents at Harvard and Johns Hopkins broadened and deepened the opportunities for study. The breakthrough for mathematics began in 1890 with the hiring, in consecutive years, of William F. Osgood and Maxime Bôcher at Harvard and E. H. Moore at Chicago. Each of these young men had studied in Germany where they acquired vital mathematical knowledge and taste. Over the next few years Osgood, Bôcher, and Moore established their own research programs and introduced new graduate courses. Working with other like-minded individuals through the nascent American Mathematical Society, the infrastructure of meetings and journals were created. In the early twentieth century Princeton dramatically upgraded its faculty to give the United States the stability of a third mathematics center. The publication by Birkhoff, in 1913, of the solution to a famous conjecture served notice that American mathematics had earned consideration with the European powers of Germany, France, Italy, England, and Russia.

Calculus Gems: Brief Lives and Memorable Mathematics

Author : George F. Simmons
Publisher : American Mathematical Soc.
Page : 355 pages
File Size : 42,6 Mb
Release : 2020-03-17
Category : Education
ISBN : 9781470451288

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Calculus Gems: Brief Lives and Memorable Mathematics by George F. Simmons Pdf

Calculus Gems, a collection of essays written about mathematicians and mathematics, is a spin-off of two appendices ("Biographical Notes" and "Variety of Additional Topics") found in Simmons' 1985 calculus book. With many additions and some minor adjustments, the material will now be available in a separate softcover volume. The text is suitable as a supplement for a calculus course and/or a history of mathematics course, The overall aim is bound up in the question, "What is mathematics for?" and in Simmons' answer, "To delight the mind and help us understand the world". The essays are independent of one another, allowing the instructor to pick and choose among them. Part A, "Brief Lives", is a biographical history of mathematics from earliest times (Thales, 625–547 BC) through the late 19th century (Weierstrass, 1815–1897) that serves to connect mathematics to the broader intellectual and social history of Western civilization. Part B, "Memorable Mathematics", is a collection of interesting topics from number theory, geometry, and science arranged in an order roughly corresponding to the order of most calculus courses. Some of these sections have a few problems for the student to solve. Students can gain perspective on the mathematical experience and learn some mathematics not contained in the usual courses, and instructors can assign student papers and projects based on the essays. The book teaches by example that mathematics is more than computation. Original illustrations of influential mathematicians in history and their inventions accompany the brief biographies and mathematical discussions.

The Universal Book of Mathematics

Author : David Darling
Publisher : Turner Publishing Company
Page : 692 pages
File Size : 53,8 Mb
Release : 2008-04-21
Category : Mathematics
ISBN : 9780470307885

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The Universal Book of Mathematics by David Darling Pdf

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

The Early Mathematics of Leonhard Euler

Author : C. Edward Sandifer
Publisher : MAA
Page : 426 pages
File Size : 45,5 Mb
Release : 2007-03-15
Category : Biography & Autobiography
ISBN : 0883855593

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The Early Mathematics of Leonhard Euler by C. Edward Sandifer Pdf

A portrait of Euler's early mathematics between 1725 and 1741, rich in technical detail.

Mathematics in Historical Context

Author : Jeff Suzuki
Publisher : MAA
Page : 432 pages
File Size : 52,6 Mb
Release : 2009-08-27
Category : Mathematics
ISBN : 0883855704

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Mathematics in Historical Context by Jeff Suzuki Pdf

An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?

A Historian Looks Back

Author : Judith V. Grabiner
Publisher : MAA
Page : 307 pages
File Size : 49,8 Mb
Release : 2010-10-14
Category : Mathematics
ISBN : 9780883855720

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A Historian Looks Back by Judith V. Grabiner Pdf

An inspiring collection of a historian's work on the history of mathematics.

I, Mathematician

Author : Peter Casazza,Steven G. Krantz,Randi D. Ruden
Publisher : The Mathematical Association of America
Page : 289 pages
File Size : 48,6 Mb
Release : 2015-03-10
Category : Mathematics
ISBN : 9780883855850

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I, Mathematician by Peter Casazza,Steven G. Krantz,Randi D. Ruden Pdf

Mathematicians have pondered the psychology of the members of our tribe probably since mathematics was invented, but for certain since Hadamard’s The Psychology of Invention in the Mathematical Field. The editors asked two dozen prominent mathematicians (and one spouse thereof) to ruminate on what makes us different. The answers they got are thoughtful, interesting and thought-provoking. Not all respondents addressed the question directly. Michael Atiyah reflects on the tension between truth and beauty in mathematics. T.W. Körner, Alan Schoenfeld and Hyman Bass chose to write, reflectively and thoughtfully, about teaching and learning. Others, including Ian Stewart and Jane Hawkins, write about the sociology of our community. Many of the contributions range into philosophy of mathematics and the nature of our thought processes. Any mathematician will find much of interest here.