Lobachevski Illuminated PDF Download

Author: Seth Braver
Publisher: MAA
ISBN: 0883859793
Category : Mathematics
Languages : en
Pages : 250

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Book Description
A historical introduction to non-Euclidean geometry.

Author: June Barrow-Green
Publisher: American Mathematical Society
ISBN: 1470443821
Category : Mathematics
Languages : en
Pages : 703

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Book Description
The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the second volume of a two-volume set, takes the reader from the invention of the calculus to the beginning of the twentieth century. The initial discoverers of calculus are given thorough investigation, and special attention is also paid to Newton's Principia. The eighteenth century is presented as primarily a period of the development of calculus, particularly in differential equations and applications of mathematics. Mathematics blossomed in the nineteenth century and the book explores progress in geometry, analysis, foundations, algebra, and applied mathematics, especially celestial mechanics. The approach throughout is markedly historiographic: How do we know what we know? How do we read the original documents? What are the institutions supporting mathematics? Who are the people of mathematics? The reader learns not only the history of mathematics, but also how to think like a historian. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.

Author: Glen Van Brummelen
Publisher: Princeton University Press
ISBN: 0691175993
Category : Mathematics
Languages : en
Pages : 208

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Book Description
"Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth."--Jacket.

Author: Mircea Pitici
Publisher: Princeton University Press
ISBN: 0691156557
Category : Mathematics
Languages : en
Pages : 321

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Book Description
An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in mathematics.

Author: Glen Van Brummelen
Publisher: Princeton University Press
ISBN: 0691179417
Category : MATHEMATICS
Languages : en
Pages : 390

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Book Description
An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the "foot of the ladder to the stars" and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry’s participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms. A masterful combination of scholarly rigor and compelling narrative, The Doctrine of Triangles brings trigonometry’s rich historical past full circle into the modern era.

Author: Jeremy Gray
Publisher: Simply Charly
ISBN: 1943657785
Category : Biography & Autobiography
Languages : en
Pages : 169

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Book Description
“Jeremy Gray is one of the world’s leading historians of mathematics, and an accomplished author of popular science. In Simply Riemann he combines both talents to give us clear and accessible insights into the astonishing discoveries of Bernhard Riemann—a brilliant but enigmatic mathematician who laid the foundations for several major areas of today’s mathematics, and for Albert Einstein’s General Theory of Relativity. Readable, organized—and simple. Highly recommended.” —Ian Stewart, Emeritus Professor of Mathematics at Warwick University and author of Significant Figures Born to a poor Lutheran pastor in what is today the Federal Republic of Germany, Bernhard Riemann (1826-1866) was a child math prodigy who began studying for a degree in theology before formally committing to mathematics in 1846, at the age of 20. Though he would live for only another 20 years (he died of pleurisy during a trip to Italy), his seminal work in a number of key areas—several of which now bear his name—had a decisive impact on the shape of mathematics in the succeeding century and a half. In Simply Riemann, author Jeremy Gray provides a comprehensive and intellectually stimulating introduction to Riemann’s life and paradigm-defining work. Beginning with his early influences—in particular, his relationship with his renowned predecessor Carl Friedrich Gauss—Gray goes on to explore Riemann’s specific contributions to geometry, functions of a complex variable, prime numbers, and functions of a real variable, which opened the way to discovering the limits of the calculus. He shows how without Riemannian geometry, cosmology after Einstein would be unthinkable, and he illuminates the famous Riemann hypothesis, which many regard as the most important unsolved problem in mathematics today. With admirable concision and clarity, Simply Riemann opens the door on one of the most profound and original thinkers of the 19th century—a man who pioneered the concept of a multidimensional reality and who always saw his work as another way to serve God.

Author: James Mattingly
Publisher: SAGE Publications
ISBN: 1506353282
Category : Reference
Languages : en
Pages : 1801

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Book Description
Project Description: Theories are part and parcel of every human activity that involves knowing about the world and our place in it. In all areas of inquiry from the most commonplace to the most scholarly and esoteric, theorizing plays a fundamental role. The SAGE Encyclopedia of Theory in Science, Technology, Engineering, and Mathematics focuses on the ways that various STEM disciplines theorize about their subject matter. How is thinking about the subject organized? What methods are used in moving a novice in given field into the position of a competent student of that subject? Within the pages of this landmark work, readers will learn about the complex decisions that are made when framing a theory, what goes into constructing a powerful theory, why some theories change or fail, how STEM theories reflect socio-historical moments in time and how – at their best – they form the foundations for exploring and unlocking the mysteries of the world around us. Featuring more than 200 authoritative articles written by experts in their respective fields, the encyclopedia includes a Reader’s Guide that organizes entries by broad themes; lists of Further Readings and cross-references that conclude each article; and a Resource Guide listing classic books in the field, leading journals, associations, and key websites.

Author: Dimitrios Vlachos
Publisher: Springer Nature
ISBN: 3031529650
Category :
Languages : en
Pages : 681

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Author: H.H. Oliver
Publisher: Springer Science & Business Media
ISBN: 940098250X
Category : Philosophy
Languages : en
Pages : 237

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Book Description
C. S. Peirce's indictment that "the chief cause of [metaphysics'] backward condition is that its leading professors have been theo (Collected Papers 6:3) falls heavily at my door. For it logians" was out of reflection upon religious experience and its meaning that the present relational metaphysic was conceived. My hope, however, is that its scope is sufficiently wider than its theological origins to justify its appearance as a work in philosophy. Having been nurtured in existential philosophy and having reached some measure of maturity with the wise counsel of Professor Dr. Fritz Buri, of Basel, I came to feel that theology as a modern discipline had reached an impasse owing to its overextended commitments to a subject-object paradigm of thought. Even those theologians who despaired of these ties seemed unable to find an independent alternative idiom for their ideas. A second tension in my thinking resulted from the inordinate neglect by theologians of the natural world. Also, my natural interest in physical understanding seemed unfulfilled within the narrow confines of theology, even of philosophical theology as then practiced. As I turned decisively toward the study of modern physics, and especially of cosmology, a new world seemed to open up to me. After extensive study with prominent astronomers and physicists, it began to dawn on me that the new physics has devised conceptual paradigms of thought which could be generalized into a metaphysical system of universal interest.

Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 672

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