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General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.
How to Find Out in Mathematics: A Guide to Sources of Information, Second Revised Edition presents updated topics about probability and statistics, dictionaries and encyclopedias, computing, and mathematical education. The book discusses the modifications of the content of professional actuarial examinations; the assimilation of modern mathematics into the school curriculum; and the establishment of government departments to administer financial support for mathematical research. The text also describes the efforts to improve communication between mathematicians (i.e. the inception of the Mathematical Offprint Service and the publication of Contents of Contemporary Mathematical Journals by the American Mathematical Society). People who are studying, teaching, or applying mathematics will find the book helpful.
In 1650, Archbishop James Ussher of Armagh joined the long-running theological debate on the age of the earth by famously announcing that creation had occurred on October 23, 4004 B.C. Although widely challenged during the Enlightenment, this belief in a six-thousand-year-old planet was only laid to rest during a revolution of discovery in the late eighteenth and early nineteenth centuries. In this relatively brief period, geologists reconstructed the immensely long history of the earth-and the relatively recent arrival of human life. Highlighting a discovery that radically altered existing perceptions of a human's place in the universe as much as the theories of Copernicus, Darwin, and Freud did, Bursting the Limits of Time is a herculean effort by one of the world's foremost experts on the history of geology and paleontology to sketch this historicization of the natural world in the age of revolution. Addressing this intellectual revolution for the first time, Rudwick examines the ideas and practices of earth scientists throughout the Western world to show how the story of what we now call "deep time" was pieced together. He explores who was responsible for the discovery of the earth's history, refutes the concept of a rift between science and religion in dating the earth, and details how the study of the history of the earth helped define a new branch of science called geology. Rooting his analysis in a detailed study of primary sources, Rudwick emphasizes the lasting importance of field- and museum-based research of the eighteenth and nineteenth centuries. Bursting the Limits of Time, the culmination of more than three decades of research, is the first detailed account of this monumental phase in the history of science.
Science at the American Frontier is both a biography of American physicist DeWitt Bristol Brace (1859?1905) and a study of the processes by which scientific knowledge and associated instrumentation were transferred from Europe to the United States and from the east coast to the American frontier. The authors trace Brace?s first-class scientific education in Boston, Baltimore, and Berlin, and they follow his career as he founded and built a department of physics at the University of Nebraska and pursued a research program at that institution. In doing so, they show how Brace?s career brought him into the vanguard of the American scientific community, and they illuminate the developmental process of departments of science at the newly founded land-grant colleges.
This volume provides a selection of previously published papers and manuscripts of Uno Kaljulaid, an eminent Estonian algebraist of the last century. The central part of the book is the English translation of Kaljulaid's 1979 Candidate thesis, which originally was typewritten in Russian and manufactured in not so many copies. The thesis is devoted to representation theory in the spirit of his thesis advisor B.I. Plotkin: representations of semigroups and algebras, especially extension to this situation, and application of the notion of triangular product of representations for groups introduced by Plotkin. Through representation theory, Kaljulaid became also interested in automata theory, which at a later phase became his main area of interest. Another field of research concerns combinatorics. Besides being an outstanding and most dedicated mathematician, Uno Kaljulaid was also very much interested in the history of mathematics. In particular, he took a vivid interest in the life and work of the great 19th century Dorpat-Tartu algebraist Th. Molien. Kaljulaid was also very interested in teaching and exposition, or popularization of mathematics. Some of his more popular-scientific papers were published in an Estonian language journal Matemaatika ja Kaasaeg (Mathematics and Our Age). Among them, there is a whole series of papers about algebraic matters, culminating in a brilliant, elementary - although partly rather philosophical - essay devoted to Galois theory. Another such series is his excellent essay of Diophantine Geometry in various installments, followed by his loge to another of his teachers Yu. I. Manin. It is believed that the inclusion of these papers here will make it more interesting for beginners, and perhaps even contribute to attracting young people to mathematics.
The world's most comprehensive, well documented and well illustrated book on this subject. With extensive subject and geographical index. 338 photographs and illustrations, many old and rare, many recent in color. Free of charge in digital PDF format on Google Books.
Praised for its scope and depth, Asia in the Making of Europe is the first comprehensive study of Asian influences on Western culture. For volumes I and II, the author has sifted through virtually every European reference to Asia published in the sixteenth-century; he surveys a vast array of writings describing Asian life and society, the images of Asia that emerge from those writings, and, in turn, the reflections of those images in European literature and art. This monumental achievement reveals profound and pervasive influences of Asian societies on developing Western culture; in doing so, it provides a perspective necessary for a balanced view of world history. Volume I: The Century of Discovery brings together "everything that a European could know of India, Southeast Asia, China, and Japan, from printed books, missionary reports, traders' accounts and maps" (The New York Review of Books). Volume II: A Century of Wonder examines the influence of that vast new body of information about Asia on the arts, institutions, literatures, and ideas of sixteenth-century Europe.