Download or read book Turning Points in the History of Mathematics written by Hardy Grant and published by Birkhäuser. This book was released on 2016-04-15 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Bernhard Riemann 1826 1866 written by Detlef Laugwitz and published by Springer Science & Business Media. This book was released on 2009-06-08 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The name of Bernard Riemann is well known to mathematicians and physicists around the world. His name is indelibly stamped on the literature of mathematics and physics. This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann’s work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics.
Download or read book Wittgenstein and the Turning Point in the Philosophy of Mathematics written by S.G. Shanker and published by Routledge. This book was released on 2013-12-19 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book The History of Mathematics written by David M. Burton and published by WCB/McGraw-Hill. This book was released on 1985 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Essays in the History of Mathematics written by Arthur Schlissel and published by American Mathematical Soc.. This book was released on 1984 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The papers in this volume represent the talks given at the special session on the history of mathematics held at the annual meeting of the American Mathematical Society, San Francisco, California, January 7-11, 1981. The invited speakers were researchers of mathematics who spoke about some historical aspect of their particular area of interest. Thus, the presented papers were views of subjects through the eyes of those who helped shape, develop, contribute to them."--Introduction.
Download or read book Mathematics in Western Culture written by Morris Kline and published by Oxford University Press. This book was released on 1964-12-31 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.
Download or read book Darts on History of Mathematics Volume Ii written by Satish C. Bhatnagar and published by Balboa Press. This book was released on 2023-02-16 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is new in the book? Apart from its format, in brief, it has thought-provoking angles of observation and deductive conclusions on many topics, which may look ordinary or rare. Who will benefit from the book? Any lay person with an historical bent of mind on mathematical topics stands to gain from it. Both undergraduate and graduate students in history of mathematics courses would enjoy it. All reflections are independent—they are excellent bedtime reading too.
Download or read book An Episodic History of Mathematics written by Steven G. Krantz and published by MAA. This book was released on 2010-04 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: A series of snapshots of the history of mathematics from ancient times to the twentieth century.
Download or read book 1177 B C written by Eric H. Cline and published by Princeton University Press. This book was released on 2015-09-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bold reassessment of what caused the Late Bronze Age collapse In 1177 B.C., marauding groups known only as the "Sea Peoples" invaded Egypt. The pharaoh's army and navy managed to defeat them, but the victory so weakened Egypt that it soon slid into decline, as did most of the surrounding civilizations. After centuries of brilliance, the civilized world of the Bronze Age came to an abrupt and cataclysmic end. Kingdoms fell like dominoes over the course of just a few decades. No more Minoans or Mycenaeans. No more Trojans, Hittites, or Babylonians. The thriving economy and cultures of the late second millennium B.C., which had stretched from Greece to Egypt and Mesopotamia, suddenly ceased to exist, along with writing systems, technology, and monumental architecture. But the Sea Peoples alone could not have caused such widespread breakdown. How did it happen? In this major new account of the causes of this "First Dark Ages," Eric Cline tells the gripping story of how the end was brought about by multiple interconnected failures, ranging from invasion and revolt to earthquakes, drought, and the cutting of international trade routes. Bringing to life the vibrant multicultural world of these great civilizations, he draws a sweeping panorama of the empires and globalized peoples of the Late Bronze Age and shows that it was their very interdependence that hastened their dramatic collapse and ushered in a dark age that lasted centuries. A compelling combination of narrative and the latest scholarship, 1177 B.C. sheds new light on the complex ties that gave rise to, and ultimately destroyed, the flourishing civilizations of the Late Bronze Age—and that set the stage for the emergence of classical Greece.
Download or read book A History of Non Euclidean Geometry written by Boris A. Rosenfeld and published by Springer Science & Business Media. This book was released on 2012-09-08 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics of variable magnitudes. " During the seventies of the last century there occurred another scientific revolution. By that time mathematicians had become familiar with the ideas of non-Euclidean geometry and the algebraic ideas of group and field (all of which appeared at about the same time), and the (later) ideas of set theory. This gave rise to many geometries in addition to the Euclidean geometry previously regarded as the only conceivable possibility, to the arithmetics and algebras of many groups and fields in addition to the arith metic and algebra of real and complex numbers, and, finally, to new mathe matical systems, i. e. , sets furnished with various structures having no classical analogues. Thus in the 1870's there began a new mathematical era usually called, until the middle of the twentieth century, the era of modern mathe matics.
Download or read book Writing the History of Mathematics Its Historical Development written by Joseph W. Dauben and published by Springer Science & Business Media. This book was released on 2002-09-23 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.
Download or read book The Construction of Mathematics written by Klaus Truemper and published by . This book was released on 2017-03-24 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is mathematics created or discovered? The answer has been debated for centuries. This book answers the question clearly and decisively by applying the concept of language games, invented by the philosopher Wittgenstein to solve difficult philosophical issues. Using the results of modern brain science, the book also explains how it is possible that eminent mathematicians and scientists offer diametrically opposed answers to the question of creation vs. discovery. Interested in the topic but intimidated by mathematics? Not to worry. If you are familiar with the elementary operations of addition, subtraction, multiplication, and division, you can follow the arguments of this book.
Download or read book History of Mathematics Teaching and Learning written by Alexander Karp and published by Springer. This book was released on 2016-07-26 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines the main directions of research conducted on the history of mathematics education. It devotes substantial attention to research methodologies and the connections between this field and other scholarly fields. The results of a survey about academic literature on this subject are accompanied by a discussion of what has yet to be done and problems that remain unsolved. The main topics you will find in “ICME-13 Topical Survey” include: • Discussions of methodological issues in the history of mathematics education and of the relation between this field and other scholarly fields. • The history of the formation and transformation of curricula and textbooks as a reflection of trends in social-economic, cultural and scientific-technological development. • The influence of politics, ideology and economics on the development of mathematics education, from a historical perspective. • The history of the preeminent mathematics education organizations and the work of leading figures in mathematics education. • Mathematics education practices and tools and the preparation of mathematics teachers, from a historical perspective.
Download or read book Rome Is Burning written by Anthony A. Barrett and published by Princeton University Press. This book was released on 2022-02-22 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Nero became Emperor in A.D 54. On the evening of July 18, 64 A. D., it seems that a lamp was left unextinguished in a stall still heaped with piles of combustible material. Whether this was accidental or deliberate we cannot now determine, and normally it would not have led to anything that would have attracted even local attention. But there was a gusty wind that night, and the flickering flame was fanned onto the flammable wares. The ensuing fire quickly spread. Before the onlookers could absorb what was happening one of the most catastrophic disasters ever to be endured by Rome was already underway. It was a disaster that brought death and misery to thousands. In Nero and the Great Fire of Rome, Anthony Barrett draws on new textual interpretations and the latest archaeological evidence, to tell the story of this pivotal moment in Rome's history and its lasting significance. Barrett argues that the Great Fire, which destroyed much of the city, changed the course of Roman History. The fire led to the collapse of Nero's regime, and his disorderly exit brought an end to Rome's first imperial dynasty, transforming from thereto, the way that emperors were selected. It also led to the first systematic persecution of the Christians, who were blamed for the blaze. Barrett provides the first comprehensive study of this dramatic event, which remains a fascination of the public imagination, and continues to be a persistent theme in the art and literature of popular culture today"--
Download or read book Landmark Writings in Western Mathematics 1640 1940 written by Ivor Grattan-Guinness and published by Elsevier. This book was released on 2005-02-11 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. - First book of its kind - Covers the period 1640-1940 of massive development in mathematics - Describes many of the main writings of mathematics - Articles written by specialists in their field
Download or read book The Geometry of an Art written by Kirsti Andersen and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.
Download or read book Episodes in the History of Modern Algebra 1800 1950 written by Jeremy J. Gray and published by American Mathematical Soc.. This book was released on 2011-08-31 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia. The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call "modern algebra" is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenth-century work of Charles Babbage on functional equations to Alexandre Grothendieck's mid-twentieth-century metaphor of a ``rising sea'' in his categorical approach to algebraic geometry. In addition to considering the technical development of various aspects of algebraic thought, the historians of modern algebra whose work is united in this volume explore such themes as the changing aims and organization of the subject as well as the often complex lines of mathematical communication within and across national boundaries. Among the specific algebraic ideas considered are the concept of divisibility and the introduction of non-commutative algebras into the study of number theory and the emergence of algebraic geometry in the twentieth century. The resulting volume is essential reading for anyone interested in the history of modern mathematics in general and modern algebra in particular. It will be of particular interest to mathematicians and historians of mathematics.
