The Oxford Handbook of the History of Mathematics

The Oxford Handbook of the History of Mathematics

Author: Eleanor Robson

Publisher: OUP Oxford

Published: 2008-12-18

Total Pages: 1754

ISBN-13: 0191607444

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This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practise it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what counts as a historical source. Material and oral evidence is drawn upon as well as an unusual array of textual sources. Further, the ways in which people have chosen to express themselves are as historically meaningful as the contents of the mathematics they have produced. Mathematics is not a fixed and unchanging entity. New questions, contexts, and applications all influence what counts as productive ways of thinking. Because the history of mathematics should interact constructively with other ways of studying the past, the contributors to this book come from a diverse range of intellectual backgrounds in anthropology, archaeology, art history, philosophy, and literature, as well as history of mathematics more traditionally understood. The thirty-six self-contained, multifaceted chapters, each written by a specialist, are arranged under three main headings: 'Geographies and Cultures', 'Peoples and Practices', and 'Interactions and Interpretations'. Together they deal with the mathematics of 5000 years, but without privileging the past three centuries, and an impressive range of periods and places with many points of cross-reference between chapters. The key mathematical cultures of North America, Europe, the Middle East, India, and China are all represented here as well as areas which are not often treated in mainstream history of mathematics, such as Russia, the Balkans, Vietnam, and South America. A vital reference for graduates and researchers in mathematics, historians of science, and general historians.


The Oxford Handbook of the History of Medicine

The Oxford Handbook of the History of Medicine

Author: Mark Jackson

Publisher: Oxford University Press, USA

Published: 2011-08-25

Total Pages: 691

ISBN-13: 0199546495

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In three sections, the Oxford Handbook of the History of Medicine celebrates the richness and variety of medical history around the world. It explore medical developments and trends in writing history according to period, place, and theme.


Oxford Users' Guide to Mathematics

Oxford Users' Guide to Mathematics

Author: Eberhard Zeidler

Publisher: Oxford University Press

Published: 2004-08-19

Total Pages: 1309

ISBN-13: 0198507631

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The Oxford Users' Guide to Mathematics is one of the leading handbooks on mathematics available. It presents a comprehensive modern picture of mathematics and emphasises the relations between the different branches of mathematics, and the applications of mathematics in engineering and the natural sciences. The Oxford User's Guide covers a broad spectrum of mathematics starting with the basic material and progressing on to more advanced topics that have come to the fore in the last few decades. The book is organised into mathematical sub-disciplines including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimisation, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. The book is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. It also includes a comprehensive bibliography of key contemporary literature as well as an extensive glossary and index. The wealth of material, reaching across all levels and numerous sub-disciplines, makes The Oxford User's Guide to Mathematics an invaluable reference source for students of engineering, mathematics, computer science, and the natural sciences, as well as teachers, practitioners, and researchers in industry and academia.


The Oxford Handbook of the History of Nationalism

The Oxford Handbook of the History of Nationalism

Author: John Breuilly

Publisher: OUP Oxford

Published: 2013-03-07

Total Pages: 818

ISBN-13: 0191644269

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The Oxford Handbook of the History of Nationalism comprises thirty six essays by an international team of leading scholars, providing a global coverage of the history of nationalism in its different aspects - ideas, sentiments, and politics. Every chapter takes the form of an interpretative essay which, by a combination of thematic focus, comparison, and regional perspective, enables the reader to understand nationalism as a distinct and global historical subject. The book covers the emergence of nationalist ideas, sentiments, and cultural movements before the formation of a world of nation-states as well as nationalist politics before and after the era of the nation-state, with chapters covering Europe, the Middle East, North-East Asia, South Asia, Southeast Asia, sub-Saharan Africa, and the Americas. Essays on everday national sentiment and race ideas in fascism are accompanied by chapters on nationalist movements opposed to existing nation-states, nationalism and international relations, and the role of external intervention into nationalist disputes within states. In addition, the book looks at the major challenges to nationalism: international socialism, religion, pan-nationalism, and globalization, before a final section considering how historians have approached the subject of nationalism. Taken separately, the chapters in this Handbook will deepen understanding of nationalism in particular times and places; taken together they will enable the reader to see nationalism as a distinct subject in modern world history.


The God Problem

The God Problem

Author: Howard Bloom

Publisher: Prometheus Books

Published: 2012-08-30

Total Pages: 714

ISBN-13: 1616145528

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God’s war crimes, Aristotle’s sneaky tricks, Einstein’s pajamas, information theory’s blind spot, Stephen Wolfram’s new kind of science, and six monkeys at six typewriters getting it wrong. What do these have to do with the birth of a universe and with your need for meaning? Everything, as you’re about to see. How does the cosmos do something it has long been thought only gods could achieve? How does an inanimate universe generate stunning new forms and unbelievable new powers without a creator? How does the cosmos create? That’s the central question of this book, which finds clues in strange places. Why A does not equal A. Why one plus one does not equal two. How the Greeks used kickballs to reinvent the universe. And the reason that Polish-born Benoît Mandelbrot—the father of fractal geometry—rebelled against his uncle. You’ll take a scientific expedition into the secret heart of a cosmos you’ve never seen. Not just any cosmos. An electrifyingly inventive cosmos. An obsessive-compulsive cosmos. A driven, ambitious cosmos. A cosmos of colossal shocks. A cosmos of screaming, stunning surprise. A cosmos that breaks five of science’s most sacred laws. Yes, five. And you’ll be rewarded with author Howard Bloom’s provocative new theory of the beginning, middle, and end of the universe—the Bloom toroidal model, also known as the big bagel theory—which explains two of the biggest mysteries in physics: dark energy and why, if antimatter and matter are created in equal amounts, there is so little antimatter in this universe. Called "truly awesome" by Nobel Prize–winner Dudley Herschbach, The God Problem will pull you in with the irresistible attraction of a black hole and spit you out again enlightened with the force of a big bang. Be prepared to have your mind blown. From the Hardcover edition.


Modern Mathematics

Modern Mathematics

Author: Dirk De Bock

Publisher: Springer Nature

Published: 2023-03-08

Total Pages: 615

ISBN-13: 3031111664

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The international New Math developments between about 1950 through 1980, are regarded by many mathematics educators and education historians as the most historically important development in curricula of the twentieth century. It attracted the attention of local and international politicians, of teachers, and of parents, and influenced the teaching and learning of mathematics at all levels—kindergarten to college graduate—in many nations. After garnering much initial support it began to attract criticism. But, as Bill Jacob and the late Jerry Becker show in Chapter 17, some of the effects became entrenched. This volume, edited by Professor Dirk De Bock, of Belgium, provides an outstanding overview of the New Math/modern mathematics movement. Chapter authors provide exceptionally high-quality analyses of the rise of the movement, and of subsequent developments, within a range of nations. The first few chapters show how the initial leadership came from mathematicians in European nations and in the United States of America. The background leaders in Europe were Caleb Gattegno and members of a mysterious group of mainly French pure mathematicians, who since the 1930s had published under the name of (a fictitious) “Nicolas Bourbaki.” In the United States, there emerged, during the 1950s various attempts to improve U.S. mathematics curricula and teaching, especially in secondary schools and colleges. This side of the story climaxed in 1957 when the Soviet Union succeeded in launching “Sputnik,” the first satellite. Undoubtedly, this is a landmark publication in education. The foreword was written by Professor Bob Moon, one of a few other scholars to have written on the New Math from an international perspective. The final “epilogue” chapter, by Professor Geert Vanpaemel, a historian, draws together the overall thrust of the volume, and makes links with the general history of curriculum development, especially in science education, including recent globalization trends.


Leonhard Euler

Leonhard Euler

Author: Ronald Calinger

Publisher: Princeton University Press

Published: 2019-12-03

Total Pages: 689

ISBN-13: 0691196400

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"This is the first full-scale biography of Leonhard Euler (1707-83), one of the greatest mathematicians and theoretical physicists of all time. In this comprehensive and authoritative account, Ronald Calinger connects the story of Euler's eventful life to the astonishing achievements that place him in the company of Archimedes, Newton, and Gauss. Drawing chiefly on Euler's massive published works and correspondence, which fill more than eighty volumes so far, this biography sets Euler's work in its multilayered context--personal, intellectual, institutional, political, cultural, religious, and social. It is a story of nearly incessant accomplishment, from Euler's fundamental contributions to almost every area of pure and applied mathematics--especially calculus, number theory, notation, optics, and celestial, rational, and fluid mechanics--to his advancements in shipbuilding, telescopes, ballistics, cartography, chronology, and music theory. The narrative takes the reader from Euler's childhood and education in Basel through his first period in St. Petersburg, 1727-41, where he gained a European reputation by solving the Basel problem and systematically developing analytical mechanics. Invited to Berlin by Frederick II, Euler published his famous Introductio in analysin infinitorum, devised continuum mechanics, and proposed a pulse theory of light. Returning to St. Petersburg in 1766, he created the analytical calculus of variations, developed the most precise lunar theory of the time that supported Newton's dynamics, and published the best-selling Letters to a German Princess--all despite eye problems that ended in near-total blindness. In telling the remarkable story of Euler and how his achievements brought pan-European distinction to the Petersburg and Berlin academies of sciences, the book also demonstrates with new depth and detail the central role of mathematics in the Enlightenment."--Publisher's description.


Archaeologies of Text

Archaeologies of Text

Author: Matthew T. Rutz

Publisher: Oxbow Books

Published: 2014-12-30

Total Pages: 269

ISBN-13: 178297766X

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Scholars working in a number of disciplines _ archaeologists, classicists, epigraphers, papyrologists, Assyriologists, Egyptologists, Mayanists, philologists, and ancient historians of all stripes _ routinely engage with ancient textual sources that are either material remains from the archaeological record or historical products of other connections between the ancient world and our own. Examining the archaeology-text nexus from multiple perspectives, contributors to this volume discuss current theoretical and practical problems that have grown out of their work at the boundary of the division between archaeology and the study of early inscriptions. In 12 representative case-studies drawn from research in Asia, Africa, the Mediterranean, and Mesoamerica, scholars use various lenses to critically examine the interface between archaeology and the study of ancient texts, rethink the fragmentation of their various specialized disciplines, and illustrate the best in current approaches to contextual analysis. The collection of essays also highlights recent trends in the development of documentation and dissemination technologies, engages with the ethical and intellectual quandaries presented by ancient inscriptions that lack archaeological context, and sets out to find profitable future directions for interdisciplinary research.