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The Birth of Mathematics

The Birth of Mathematics PDF Author: Michael J. Bradley
Publisher: Infobase Publishing
ISBN: 0791097234
Category : Mathematicians
Languages : en
Pages : 161

Book Description


The Birth of Mathematics

The Birth of Mathematics PDF Author: Michael J. Bradley
Publisher: Infobase Publishing
ISBN: 0791097234
Category : Mathematicians
Languages : en
Pages : 161

Book Description


Turning Points in the History of Mathematics

Turning Points in the History of Mathematics PDF Author: Hardy Grant
Publisher: Birkhäuser
ISBN: 1493932640
Category : Mathematics
Languages : en
Pages : 112

Book Description
This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation. Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the “wedding,” via analytic geometry, of algebra and geometry; the “taming” of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor’s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted. Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided. Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to learn more about the important moments in its development.

A History of Mathematics

A History of Mathematics PDF Author: Carl Benjamin Boyer
Publisher:
ISBN: 9780691023915
Category : Mathematics
Languages : en
Pages : 717

Book Description
The Description for this book, A History of Mathematics, will be forthcoming.

Birth of a Theorem

Birth of a Theorem PDF Author: Cédric Villani
Publisher: Macmillan + ORM
ISBN: 0374710236
Category : Biography & Autobiography
Languages : en
Pages : 260

Book Description
In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of aTheorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of aTheorem. It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery—and with Birth of aTheorem, Cédric Villani welcomes you into his.

The Intersection of History and Mathematics

The Intersection of History and Mathematics PDF Author: Sasaki Chikara
Publisher: Birkhäuser
ISBN: 3034875215
Category : Mathematics
Languages : en
Pages : 272

Book Description


The History of Mathematics

The History of Mathematics PDF Author: David M. Burton
Publisher: WCB/McGraw-Hill
ISBN: 9780697068552
Category : Mathematics
Languages : en
Pages : 544

Book Description
"The History of Mathematics: An Introduction," Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton's imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day. Burton illuminates the people, stories, and social context behind mathematics'greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library.

Anachronisms in the History of Mathematics

Anachronisms in the History of Mathematics PDF Author: Niccolò Guicciardini
Publisher: Cambridge University Press
ISBN: 1108883281
Category : Mathematics
Languages : en
Pages : 394

Book Description
The controversial matters surrounding the notion of anachronism are difficult ones: they have been broached by literary and art critics, by philosophers, as well as by historians of science. This book adopts a bottom-up approach to the many problems concerning anachronism in the history of mathematics. Some of the leading scholars in the field of history of mathematics reflect on the applicability of present-day mathematical language, concepts, standards, disciplinary boundaries, indeed notions of mathematics itself, to well-chosen historical case studies belonging to the mathematics of the past, in European and non-European cultures. A detailed introduction describes the key themes and binds the various chapters together. The interdisciplinary and transcultural approach adopted allows this volume to cover topics important for history of mathematics, history of the physical sciences, history of science, philosophy of mathematics, history of philosophy, methodology of history, non-European science, and the transmission of mathematical knowledge across cultures.

Great Moments in Mathematics Before 1650

Great Moments in Mathematics Before 1650 PDF Author: Howard Eves
Publisher: American Mathematical Soc.
ISBN: 1614442142
Category : Mathematics
Languages : en
Pages : 270

Book Description
Great Moments in Mathematics: Before 1650 is the product of a series of lectures on the history of mathematics given by Howard Eves. He presents here, in chronological order, 20 ``great moments in mathematics before 1650'', which can be appreciated by anyone who enjoys mathematics. These wonderful lectures could be used as the basis of a course on the history of mathematics but can also serve as enrichment to any mathematics course. Included are lectures on the Pythagorean Theorem, Euclid's Elements, Archimedes (on the sphere), Diophantus, Omar Khayyam, and Fibonacci.

Infinite Ascent

Infinite Ascent PDF Author: David Berlinski
Publisher: Modern Library
ISBN: 0307778177
Category : Mathematics
Languages : en
Pages : 226

Book Description
In Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton’s Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500-year-long intellectual adventure. Berlinski focuses on the ten most important breakthroughs in mathematical history–and the men behind them. Here are Pythagoras, intoxicated by the mystical significance of numbers; Euclid, who gave the world the very idea of a proof; Leibniz and Newton, co-discoverers of the calculus; Cantor, master of the infinite; and Gödel, who in one magnificent proof placed everything in doubt. The elaboration of mathematical knowledge has meant nothing less than the unfolding of human consciousness itself. With his unmatched ability to make abstract ideas concrete and approachable, Berlinski both tells an engrossing tale and introduces us to the full power of what surely ranks as one of the greatest of all human endeavors.

Euclid's Elements

Euclid's Elements PDF Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544

Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.