Census of the Exact Sciences in Sanskrit (Series A, Vol. 1 & 2)
Author | : David Pingree |
Publisher | : American Philosophical Society |
Total Pages | : 230 |
Release | : 1970 |
Genre | : Sanskrit language |
ISBN | : 9780871690814 |
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Author | : David Pingree |
Publisher | : American Philosophical Society |
Total Pages | : 230 |
Release | : 1970 |
Genre | : Sanskrit language |
ISBN | : 9780871690814 |
Author | : Ronald Calinger |
Publisher | : Cambridge University Press |
Total Pages | : 380 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 9780883850978 |
Enables teachers to learn the history of mathematics and then incorporate it in undergraduate teaching.
Author | : Michael R. Matthews |
Publisher | : Springer Science & Business Media |
Total Pages | : 574 |
Release | : 2005-10-13 |
Genre | : Science |
ISBN | : 9781402035258 |
The pendulum is a universal topic in primary and secondary schools, but its full potential for learning about physics, the nature of science, and the relationships between science, mathematics, technology, society and culture is seldom realised. Contributions to this 32-chapter anthology deal with the science, history, methodology and pedagogy of pendulum motion. There is ample material for the richer and more cross-disciplinary treatment of the pendulum from elementary school to high school, and through to advanced university classes. Scientists will value the studies on the physics of the pendulum; historians will appreciate the detailed treatment of Galileo, Huygens, Newton and Foucault’s pendulum investigations; psychologists and educators will learn from the papers on Piaget; teachers will welcome the many contributions to pendulum pedagogy. All readers will come away with a new awareness of the importance of the pendulum in the foundation and development of modern science; and for its centrality in so many facets of society and culture.
Author | : Paul J. Nahin |
Publisher | : JHU Press |
Total Pages | : 362 |
Release | : 2002-11-13 |
Genre | : Biography & Autobiography |
ISBN | : 9780801869099 |
Acclaimed biography of the pioneer of modern electrical theory featuring a new preface by author. "He was a man who often was incapable of conducting himself properly in the most elementary social interactions. His only continuing contacts with women were limited to his mother, nieces, and housekeepers. He was a man who knew the power of money and desired it, but refused to work for it, preferring to live off the sweat of his family and long-suffering friends, whom he often insulted even as they paid his bills."—Excerpt from the book This, then, was Oliver Heaviside, a pioneer of modern electrical theory. Born into a low social class of Victorian England, Heaviside made advances in mathematics by introducing the operational calculus; in physics, where he formulated the modern-day expressions of Maxwell's Laws of electromagnetism; and in electrical engineering, through his duplex equations. With a new preface by the author, this acclaimed biography will appeal to historians of technology and science, as well as to scientists and engineers who wish to learn more about this remarkable man.
Author | : Andrew I. Dale |
Publisher | : Springer Science & Business Media |
Total Pages | : 691 |
Release | : 2012-09-08 |
Genre | : Mathematics |
ISBN | : 1441986529 |
This is a history of the use of Bayes theoremfrom its discovery by Thomas Bayes to the rise of the statistical competitors in the first part of the twentieth century. The book focuses particularly on the development of one of the fundamental aspects of Bayesian statistics, and in this new edition readers will find new sections on contributors to the theory. In addition, this edition includes amplified discussion of relevant work.
Author | : Stephen M. Stigler |
Publisher | : Harvard University Press |
Total Pages | : 436 |
Release | : 1990-03-01 |
Genre | : History |
ISBN | : 0674256859 |
This magnificent book is the first comprehensive history of statistics from its beginnings around 1700 to its emergence as a distinct and mature discipline around 1900. Stephen M. Stigler shows how statistics arose from the interplay of mathematical concepts and the needs of several applied sciences including astronomy, geodesy, experimental psychology, genetics, and sociology. He addresses many intriguing questions: How did scientists learn to combine measurements made under different conditions? And how were they led to use probability theory to measure the accuracy of the result? Why were statistical methods used successfully in astronomy long before they began to play a significant role in the social sciences? How could the introduction of least squares predate the discovery of regression by more than eighty years? On what grounds can the major works of men such as Bernoulli, De Moivre, Bayes, Quetelet, and Lexis be considered partial failures, while those of Laplace, Galton, Edgeworth, Pearson, and Yule are counted as successes? How did Galton’s probability machine (the quincunx) provide him with the key to the major advance of the last half of the nineteenth century? Stigler’s emphasis is upon how, when, and where the methods of probability theory were developed for measuring uncertainty in experimental and observational science, for reducing uncertainty, and as a conceptual framework for quantitative studies in the social sciences. He describes with care the scientific context in which the different methods evolved and identifies the problems (conceptual or mathematical) that retarded the growth of mathematical statistics and the conceptual developments that permitted major breakthroughs. Statisticians, historians of science, and social and behavioral scientists will gain from this book a deeper understanding of the use of statistical methods and a better grasp of the promise and limitations of such techniques. The product of ten years of research, The History of Statistics will appeal to all who are interested in the humanistic study of science.
Author | : Jan P. Hogendijk |
Publisher | : BRILL |
Total Pages | : 908 |
Release | : 2004-02-01 |
Genre | : Philosophy |
ISBN | : 9047412443 |
This collection of essays reflects the wide range of David Pingree's expertise in the scientific texts (above all, concerning astronomy and astrology) of Ancient Mesopotamia, Greece, India, Persia, and the medieval Arabic, Hebrew and Latin traditions. Both theoretical aspects and the practical applications of the exact sciences-in time keeping, prediction of the future, and the operation of magic-are dealt with. The book includes several critical editions and translations of hitherto unknown or understudied texts, and a particular emphasis is on the diffusion of scientific learning from one culture to another, and through time. Above all, the essays show the variety and sophistication of the exact sciences in non-Western societies in pre-modern times.
Author | : Hans Niels Jahnke |
Publisher | : American Mathematical Soc. |
Total Pages | : 434 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821826239 |
Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.
Author | : Michael Friedman |
Publisher | : Harvard University Press |
Total Pages | : 396 |
Release | : 1992 |
Genre | : History |
ISBN | : 9780674500358 |
Kant sought throughout his life to provide a philosophy adequate to the sciences of his time--especially Euclidean geometry and Newtonian physics. In this new book, Michael Friedman argues that Kant's continuing efforts to find a metaphysics that could provide a foundation for the sciences is of the utmost importance in understanding the development of his philosophical thought from its earliest beginnings in the thesis of 1747, through the Critique of Pure Reason, to his last unpublished writings in the Opus postumum. Previous commentators on Kant have typically minimized these efforts because the sciences in question have since been outmoded. Friedman argues that, on the contrary, Kant's philosophy is shaped by extraordinarily deep insight into the foundations of the exact sciences as he found them, and that this represents one of the greatest strengths of his philosophy. Friedman examines Kant's engagement with geometry, arithmetic and algebra, the foundations of mechanics, and the law of gravitation in Part One. He then devotes Part Two to the Opus postumum, showing how Kant's need to come to terms with developments in the physics of heat and in chemistry formed a primary motive for his projected Transition from the Metaphysical Foundations of Natural Science to Physics. Kant and the Exact Sciences is a book of high scholarly achievement, argued with impressive power. It represents a great advance in our understanding of Kant's philosophy of science.
Author | : Prakash Gorroochurn |
Publisher | : John Wiley & Sons |
Total Pages | : 776 |
Release | : 2016-03-29 |
Genre | : Mathematics |
ISBN | : 1119127939 |
"There is nothing like it on the market...no others are as encyclopedic...the writing is exemplary: simple, direct, and competent." —George W. Cobb, Professor Emeritus of Mathematics and Statistics, Mount Holyoke College Written in a direct and clear manner, Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times presents a comprehensive guide to the history of mathematical statistics and details the major results and crucial developments over a 200-year period. Presented in chronological order, the book features an account of the classical and modern works that are essential to understanding the applications of mathematical statistics. Divided into three parts, the book begins with extensive coverage of the probabilistic works of Laplace, who laid much of the foundations of later developments in statistical theory. Subsequently, the second part introduces 20th century statistical developments including work from Karl Pearson, Student, Fisher, and Neyman. Lastly, the author addresses post-Fisherian developments. Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times also features: A detailed account of Galton's discovery of regression and correlation as well as the subsequent development of Karl Pearson's X2 and Student's t A comprehensive treatment of the permeating influence of Fisher in all aspects of modern statistics beginning with his work in 1912 Significant coverage of Neyman–Pearson theory, which includes a discussion of the differences to Fisher’s works Discussions on key historical developments as well as the various disagreements, contrasting information, and alternative theories in the history of modern mathematical statistics in an effort to provide a thorough historical treatment Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times is an excellent reference for academicians with a mathematical background who are teaching or studying the history or philosophical controversies of mathematics and statistics. The book is also a useful guide for readers with a general interest in statistical inference.