Download or read book The Doctrine of Triangles written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-06-08 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Monist written by Paul Carus and published by . This book was released on 1922 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. 2 and 5 include appendices.
Download or read book Catalogue of the Mathematical Historical and Miscellaneous Portion of the Celebrated Library of M Guglielmo Libri written by and published by . This book was released on 1861 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalogue of the Mathematical Historical Bibliographical and Miscellaneous Portion of the Celebrated Library Apr 26 1861 written by Guillaume Libri and published by . This book was released on 1861 with total page 950 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book From Kant to Hilbert Volume 1 written by William Bragg Ewald and published by OUP Oxford. This book was released on 2005-04-21 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.
Download or read book Catalogue of the Mathematical Historical and Miscellaneous Portion of the Celebrated Library written by and published by . This book was released on 1861 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Pangeometry written by Nikolaĭ Ivanovich Lobachevskiĭ and published by European Mathematical Society. This book was released on 2010 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a resume of his work on non-Euclidean geometry and its applications and can be considered his clearest account on the subject. It is also the conclusion of his life's work and the last attempt he made to acquire recognition. The treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. The techniques are different from those found in most modern books on hyperbolic geometry since they do not use models. Besides its historical importance, Lobachevsky's Pangeometry is a beautiful work, written in a simple and condensed style. The material that it contains is still very alive, and reading this book will be most useful for researchers and for students in geometry and in the history of science. It can be used as a textbook, as a sourcebook, and as a repository of inspiration. The present edition provides the first complete English translation of Pangeometry available in print. It contains facsimiles of both the Russian and the French original versions. The translation is accompanied by notes, followed by a biography of Lobachevky and an extensive commentary.
Download or read book Imagine Math 3 written by Michele Emmer and published by Springer. This book was released on 2015-03-04 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. This volume in the series “Imagine Math” casts light on what is new and interesting in the relationships between mathematics, imagination and culture. The book opens by examining the connections between modern and contemporary art and mathematics, including Linda D. Henderson’s contribution. Several further papers are devoted to mathematical models and their influence on modern and contemporary art, including the work of Henry Moore and Hiroshi Sugimoto. Among the many other interesting contributions are an homage to Benoît Mandelbrot with reference to the exhibition held in New York in 2013 and the thoughts of Jean-Pierre Bourguignon on the art and math exhibition at the Fondation Cartier in Paris. An interesting part is dedicated to the connections between math, computer science and theatre with the papers by C. Bardainne and A. Mondot. The topics are treated in a way that is rigorous but captivating, detailed but very evocative. This is an all-embracing look at the world of mathematics and culture.
Download or read book Mathematical Thought From Ancient to Modern Times Volume 3 written by Morris Kline and published by Oxford University Press. This book was released on 1990-03-01 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.
Download or read book Plant Allometry written by Karl J. Niklas and published by University of Chicago Press. This book was released on 1994-10-17 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Allometry, the study of the growth rate of an organism's parts in relation to the whole, has produced exciting results in research on animals. Now distinguished plant biologist Karl J. Niklas has written the first book to apply allometry to studies of the evolution, morphology, physiology, and reproduction of plants. Niklas covers a broad spectrum of plant life, from unicellular algae to towering trees, including fossil as well as extant taxa. He examines the relation between organic size and variations in plant form, metabolism, reproduction, and evolution, and draws on the zoological literature to develop allometric techniques for the peculiar problems of plant height, the relation between body mass and body length, and size-correlated variations in rates of growth. For readers unfamiliar with the basics of allometry, an appendix explains basic statistical methods. For botanists interested in an original, quantitative approach to plant evolution and function, and for zoologists who want to learn more about the value of allometric techniques for studying evolution, Plant Allometry makes a major contribution to the study of plant life.
Download or read book Axiomatic Method and Category Theory written by Andrei Rodin and published by Springer Science & Business Media. This book was released on 2013-10-14 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details how it has revolutionized the notion of the axiomatic method. It considers the question of identity/equality in mathematics as well as examines the received theories of mathematical structuralism. In the end, Rodin presents a hypothetical New Axiomatic Method, which establishes closer relationships between mathematics and physics. Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of higher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hilbert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in categorical logic opens new possibilities for using this method in physics and other natural sciences. This volume offers readers a coherent look at the past, present and anticipated future of the Axiomatic Method.
Download or read book Contributions to Education written by and published by . This book was released on 1906 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Borderology Cross disciplinary Insights from the Border Zone written by Jan Selmer Methi and published by Springer. This book was released on 2018-10-04 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique and multifaceted view on and understanding of borders and their manifestations: physical and mental, cultural and geographical, and as a question of life and death. It highlights the Green Belt along the Iron Curtain, which offered a haven for rare species for many decades and, after the Cold War, became a veritable treasure trove for a European network of researchers. A geographical border is something that can be seen, but other borders sometimes have to be crossed to be discovered. The border zone is an arena for development that is not found in any other places. This book focuses on borderology, which became the name of a cross-border study and research program that explores the border zone from multiple perspectives. This cross-disciplinary book will appeal to interested researchers and students from many fields, from philosophy and diplomacy to ecology and geography.
Download or read book Visio 2002 Developer s Survival Pack written by Graham Wideman and published by Trafford Publishing. This book was released on 2001 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overview Developers seeing opportunities to leverage Microsoft Visio's programmable diagramming environment need to be able to design and build their applications quickly and sure-footedly -- achieving business-serving results in a business-compatible timeframe. To that end, this book and set of tools is organized around the premise that developers will have the following interests and needs: Visio Structure: An organized and comprehensive presentation of Visio's document and user-interface object models including the all-important ShapeSheet. Browsable Reference Material: There's lots of info in Visio's Developer Help, but it will take you forever to digest enough of it to get the big picture. To greatly accelerate the process, this book includes a "browsable" reference section -- objects, properties, methods and shapesheet cells and functions tabulated in an order which brings related items together. You'll still use Help, but with this book you can rapidly skim over and locate features of interest to your task at hand. Visio Behavior: The power beneath the surface. Work with it, not against it! Investigation of numerous key areas of Visio behavior, at a level which uncovers many subtleties not evident from simply using the product. Solution Architectures for adding functionality to Visio. Several alternative forms are possible. Read why "VSL Addons" are still the preferred form for many kinds of application. VSLs have traditionally required C/C++, Delphi, or some other language capable of working with Automation and producing arbitrary DLLs. Now, using the "VBVSL_Adapter" component available with this book, VSLs can be built easily with Visual Basic. The VBVSL foundation allows the book to use Visual Basic samples to illuminate many more topics of interest to Visio-based application-builders. Several sample applications are supplied which you can copy and modify to get your own addons up and running quickly. Browsing Tools: The book gives you access to download a suite of browsing tools which you can use to instantly clarify exactly what's going with several of Visio's more elaborate or arcane features, such as EventLists, UIObjects, CommandBars, browse Visio 2002's new XML-format files and so on. This will vastly accelerate your learning process, and goes a long way to keep your development efforts on track.
Download or read book An Essay on the Foundations of Geometry written by Bertrand Russell and published by . This book was released on 1897 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalogue of the Mathematical Historical Bibliographical and Miscellaneous Portion of His Celebrated Library of M Guglielmo Libri Including Many Scarce Publications Realting to America Rare Junta and Aldine Editions Numerous Publications Relating to the History of the Sciences and a Most Interesting Collection of Books with Autograph Annotations written by Guillaume Libri and published by . This book was released on 1861 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Kant s Analytic written by Jonathan Bennett and published by Cambridge University Press. This book was released on 2016-08-26 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is Jonathan Bennett's engaging and influential study of the first half of Kant's Critique of Pure Reason.
