Download or read book A History of Mathematics in the United States and Canada written by David E. Zitarelli and published by American Mathematical Society. This book was released on 2022-10-25 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first truly comprehensive and thorough history of the development of mathematics and a mathematical community in the United States and Canada. This first volume of the multi-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of a research community the United States in the last quarter of the nineteenth. In the story of the colonial period, particular emphasis is given to several prominent colonial figures—Jefferson, Franklin, and Rittenhouse—and four important early colleges—Harvard, Québec, William & Mary, and Yale. During the first three-quarters of the nineteenth century, mathematics in North America was largely the occupation of scattered individual pioneers: Bowditch, Farrar, Adrain, B. Peirce. This period is given a fuller treatment here than previously in the literature, including the creation of the first PhD programs and attempts to form organizations and found journals. With the founding of Johns Hopkins in 1876 the American mathematical research community was finally, and firmly, founded. The programs at Hopkins, Chicago, and Clark are detailed as are the influence of major European mathematicians including especially Klein, Hilbert, and Sylvester. Klein's visit to the US and his Evanston Colloquium are extensively detailed. The founding of the American Mathematical Society is thoroughly discussed. David Zitarelli was emeritus Professor of Mathematics at Temple University. A decorated and acclaimed teacher, scholar, and expositor, he was one of the world's leading experts on the development of American mathematics. Author or co-author of over a dozen books, this was his magnum opus—sure to become the leading reference on the topic and essential reading, not just for historians. In clear and compelling prose Zitarelli spins a tale accessible to experts, generalists, and anyone interested in the history of science in North America.
Download or read book A History of Mathematics in the United States and Canada Volume 1 1492 1900 written by David E. Zitarelli and published by American Mathematical Soc.. This book was released on 2019-10-21 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first truly comprehensive and thorough history of the development of mathematics and a mathematical community in the United States and Canada. This first volume of the multi-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of a research community the United States in the last quarter of the nineteenth. In the story of the colonial period, particular emphasis is given to several prominent colonial figures—Jefferson, Franklin, and Rittenhouse—and four important early colleges—Harvard, Québec, William & Mary, and Yale. During the first three-quarters of the nineteenth century, mathematics in North America was largely the occupation of scattered individual pioneers: Bowditch, Farrar, Adrain, B. Peirce. This period is given a fuller treatment here than previously in the literature, including the creation of the first PhD programs and attempts to form organizations and found journals. With the founding of Johns Hopkins in 1876 the American mathematical research community was finally, and firmly, founded. The programs at Hopkins, Chicago, and Clark are detailed as are the influence of major European mathematicians including especially Klein, Hilbert, and Sylvester. Klein's visit to the US and his Evanston Colloquium are extensively detailed. The founding of the American Mathematical Society is thoroughly discussed. David Zitarelli was emeritus Professor of Mathematics at Temple University. A decorated and acclaimed teacher, scholar, and expositor, he was one of the world's leading experts on the development of American mathematics. Author or co-author of over a dozen books, this was his magnum opus—sure to become the leading reference on the topic and essential reading, not just for historians. In clear and compelling prose Zitarelli spins a tale accessible to experts, generalists, and anyone interested in the history of science in North America.
Download or read book A History of Mathematics Education in the United States and Canada written by National Council of Teachers of Mathematics and published by . This book was released on 1970 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Republic of Numbers written by David Lindsay Roberts and published by Johns Hopkins University Press. This book was released on 2019-10-08 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating narrative history of math in America introduces readers to the diverse and vibrant people behind pivotal moments in the nation's mathematical maturation. Once upon a time in America, few knew or cared about math. In Republic of Numbers, David Lindsay Roberts tells the story of how all that changed, as America transformed into a powerhouse of mathematical thinkers. Covering more than 200 years of American history, Roberts recounts the life stories of twenty-three Americans integral to the evolution of mathematics in this country. Beginning with self-taught Salem mathematician Nathaniel Bowditch's unexpected breakthroughs in ocean navigation and closing with the astounding work Nobel laureate John Nash did on game theory, this book is meant to be read cover to cover. Revealing the marvelous ways in which America became mathematically sophisticated, the book introduces readers to Kelly Miller, the first black man to attend Johns Hopkins, who brilliantly melded mathematics and civil rights activism; Izaak Wirszup, a Polish immigrant who survived the Holocaust and proceeded to change the face of American mathematical education; Grace Hopper, the "Machine Whisperer," who pioneered computer programming; and many other relatively unknown but vital figures. As he brings American history and culture to life, Roberts also explains key mathematical concepts, from the method of least squares, propositional logic, quaternions, and the mean-value theorem to differential equations, non-Euclidean geometry, group theory, statistical mechanics, and Fourier analysis. Republic of Numbers will appeal to anyone who is interested in learning how mathematics has intertwined with American history.
Download or read book A History of Mathematics written by Carl Benjamin Boyer and published by . This book was released on 1985 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Description for this book, A History of Mathematics, will be forthcoming.
Download or read book The Math Book written by Clifford A. Pickover and published by Union Square + ORM. This book was released on 2011-09-27 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
Download or read book A History of Vector Analysis written by Michael J. Crowe and published by Courier Corporation. This book was released on 1994-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.
Download or read book Mathematics and the Physical World written by Morris Kline and published by Courier Corporation. This book was released on 2012-03-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.
Download or read book A History of Mathematics written by Carl B. Boyer and published by John Wiley & Sons. This book was released on 2011-01-11 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
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 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 The Heritage of Thales written by W.S. Anglin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot be solved by ruler and compass alone. The second part presents some fundamental topics of interest from the past two centuries, including proof of G del's incompleteness theorem, together with a discussion of its implications.
Download or read book A History of Mathematics Education during the Twentieth Century written by Angela Lynn Evans Walmsley and published by University Press of America. This book was released on 2007-05-22 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Mathematics Education during the Twentieth Century describes the history of mathematics education in the United States with conceptual themes concerning philosophy, mathematics content, teacher education, pedagogy, and assessment. Each decade of the twentieth century is analyzed using historical documents, within the context of the aforementioned themes, to create a concise history of mathematical reform as it relates to history within the United States. Finally, conclusions are drawn as to which reform movements are similar and different throughout the century—depicting which aspects of reform can be seen again. Mathematics education tends to swing on a pendulum from "traditional education" including teacher-directed instruction with an emphasis on computation skills to "reform education," including student-directed instruction with an emphasis on problem solving. All decades are analyzed to see where they were on the pendulum and what aspects may have contributed to the current reform movements led by the Standards movement.
Download or read book Making up Numbers A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Download or read book The Mathematics of the Heavens and the Earth written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-08-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.
Download or read book USA Through the Lens of Mathematics written by Natali Hritonenko and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this captivating book is to help instructors in popularizing mathematics and other subjects by considering them in a unique multidisciplinary way. This integrative technique contributes to innovative teaching strategies to improving students' critical and problem-solving skills and broadening their scientific vision and interdisciplinary knowledge. The authors motivate the simultaneous learning of mathematics and social studies by telling the story of the United States of America in an original, mathematically oriented way. The readers will discover practical reasoning behind mathematical concepts. This fascinating book exposes students to a novel educational strategy that aims to overcome fear of mathematics, reduce mathematical anxiety, and show the applicability of mathematics to everyday life and events. It is unique among mathematical books in its devotion to present facts and stories from the country's heritage. The collection of 325 informative problems is designed to fit any abilities, background, and taste. Their solution requires only basic knowledge of algebra.
Download or read book The History of Mathematical Proof in Ancient Traditions written by Karine Chemla and published by Cambridge University Press. This book was released on 2012-07-05 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.
