Download or read book Mathematical Geography in the Eighteenth Century Euler Lagrange and Lambert written by Renzo Caddeo and published by Springer Nature. This book was released on 2022-10-31 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the beautiful memoirs of Euler, Lagrange and Lambert on geography, translated into English and put into perspective through explanatory and historical essays as well as commentaries and mathematical notes. These works had a major impact on the development of the differential geometry of surfaces and they deserve to be studied, not only as historical documents, but most of all as a rich source of ideas.
Download or read book Circles Spheres and Spherical Geometry written by Hiroshi Maehara and published by Springer Nature. This book was released on with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Minerva Meets Vulcan Scientific and Technological Literature 1450 1750 written by Wolfgang Lefèvre and published by Springer Nature. This book was released on 2021-06-16 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive study and account of the co-evolution of technological and scientific literature in the early modern period (1450-1750). It examines the various relationships of these literatures in six areas of knowledge – Architecture, Chemistry, Gunnery, Mechanical Engineering, Mining, and Practical Mathematics – which represent the main types of advanced technological and scientific knowledge of the era. These six fields of technologically advanced knowledge and their interrelations and interactions with learned knowledge are investigated and discussed through a specific lens: by focusing on the technological literature. Among present-day historians of science, it hardly remains controversial that contact and exchange between educated and practical knowledge played a significant role in the development of the natural sciences and technology in early modern Europe. Several paths for such exchange arose from the late Middle Ages onward due to the formation of an economy of knowledge that fostered contacts and exchange between the two worlds. How can this development be adequately described and how, on the basis of such a description, can the significance of this process for the early modern history of knowledge in the West be assessed? These are the overarching questions this book tries to answer. There exists a considerable amount of literature concerning several stations and events in the course of this long development process as well as its various aspects. As meritorious and indispensable as many of these studies are, none of them tried to portray this process as a whole with its most essential branches. What is more, many of them implicitly or explicitly took physics as a model of science, and thus highlighted mechanics and mechanical engineering as the model of all interrelations of practical and learned knowledge. By contrast, this book aims at a more complete portrait of the early modern interrelations and interactions between learned and practical knowledge. It tries to convey a new idea of the variety and disunity of these relations by discussing and comparing altogether six widely different fields of knowledge and practice. The targeted audience of this book is first of all the historians of science and technology. As one of the peer reviewers suggested – the book could very well become a textbook used for teaching the history of science and technology at universities. Furthermore, since the book addresses fundamental aspects of the significance emergence and development of modern science has for the self-image of the West, it can be expected that it will attract the attention and interest of a wider readership than professional historians.
Download or read book A History of Science Technology and Philosophy in the 18th Century written by Abraham Wolf and published by Routledge. This book was released on 2019-04-23 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in 1938: The new volume presents a full and profusely illustrated account of progress made during the eighteenth century in Mathematics, Mechanics, Astronomy, Physics, Meteorology, Geography, Chemistry, Biology, Medicine, Psychology, Demography, Economics, Philosophy, and Technology.
Download or read book Great Soviet Encyclopedia written by Aleksandr Mikhaĭlovich Prokhorov and published by . This book was released on 1973 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The British Cyclopaedia of the Arts Sciences History Geography Literature Natural History and Biography written by Charles Frederick Partington and published by . This book was released on 1838 with total page 1116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Portraits of the Earth written by Timothy G. Feeman and published by American Mathematical Soc.. This book was released on 2002 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: ``Every map is a tool, a product of human effort and creativity, that represents some aspects of our world or universe ... [This] course was powered by the belief that by exploring the mathematical ideas involved in creating and analyzing maps, students would see how mathematics could help them to understand and explain their world.'' -from the Preface Portraits of the Earth exemplifies the AMS's mission to bring the power and vitality of mathematical thought to the nonexpert. It isdesigned to teach students to think logically and to analyze the technical information that they so readily encounter every day. Maps are exciting, visual tools that we encounter on a daily basis: from street maps to maps of the world accompanying news stories to geologic maps depicting theunderground structure of the earth. This book explores the mathematical ideas involved in creating and analyzing maps, a topic that is rarely discussed in undergraduate courses. It is the first modern book to present the famous problem of mapping the earth in a style that is highly readable and mathematically accessible to most students. Feeman's writing is inviting to the novice, yet also interesting to readers with more mathematical experience. Through the visual context of maps andmapmaking, students will see how contemporary mathematics can help them to understand and explain the world. Topics explored are the shape and size of the earth, basic spherical geometry, and why one can't make a perfect flat map of the planet. The author discusses different attributes that maps can have anddetermines mathematically how to design maps that have the desired features. The distortions that arise in making world maps are quantitatively analyzed. There is an in-depth discussion on the design of numerous map projections-both historical and contemporary-as well as conformal and equal-area maps. Feeman looks at how basic map designs can be modified to produce maps with any center, and he indicates how to generalize methods to produce maps of arbitrary surfaces of revolution. Also includedare end-of-chapter exercises and laboratory projects. Particularly interesting is a chapter that explains how to use MapleR add-on software to make maps from geographic data points. This book would make an excellent text for a basic undergraduate mathematics or geography course and would beespecially appealing to the teacher who is interested in exciting visual applications in the classroom. It would also serve nicely as supplementary reading for a course in calculus, linear algebra, or differential geometry. Prerequisites include a solid grasp of trigonometry and basic calculus. RWaterloo Maple, Inc., Ontario, Canada.
Download or read book The British Cyclop dia of Arts and Sciences literature History Geography Law and Politics Natural History Biography written by and published by . This book was released on 1835 with total page 1106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The British cyclopaedia of the arts and sciences literature history geography law and politics Natural history Biography written by Encyclopaedias and published by . This book was released on 1835 with total page 1112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Menelaus Spherics written by Roshdi Rashed and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-10-23 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite its importance in the history of Ancient science, Menelaus’ Spherics is still by and large unknown. This treatise, which lies at the foundation of spherical geometry, is lost in Greek but has been preserved in its Arabic versions. The reader will find here, for the first time edited and translated into English, the essentials of this tradition, namely: a fragment of an early Arabic translation and the first Arabic redaction of the Spherics composed by al-Māhānī /al-Harawī, together with a historical and mathematical study of Menelaus’ treatise. With this book, a new and important part of the Greek and Arabic legacy to the history of mathematics comes to light. This book will be an indispensable acquisition for any reader interested in the history of Ancient geometry and science and, more generally, in Greek and Arabic science and culture.
Download or read book The New Werner Twentieth Century Edition of the Encyclopaedia Britannica written by and published by . This book was released on 1906 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Legacy of Leonhard Euler written by Lokenath Debnath and published by World Scientific. This book was released on 2010 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler''s works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler''s personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author''s historically motivated method of teaching, special attention is given to demonstrate that Euler''s work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler''s extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research. Erratum. Sample Chapter(s). Chapter 1: Mathematics Before Leonhard Euler (434 KB). Contents: Mathematics Before Leonhard Euler; Brief Biographical Sketch and Career of Leonhard Euler; Euler''s Contributions to Number Theory and Algebra; Euler''s Contributions to Geometry and Spherical Trigonometry; Euler''s Formula for Polyhedra, Topology and Graph Theory; Euler''s Contributions to Calculus and Analysis; Euler''s Contributions to the Infinite Series and the Zeta Function; Euler''s Beta and Gamma Functions and Infinite Products; Euler and Differential Equations; The Euler Equations of Motion in Fluid Mechanics; Euler''s Contributions to Mechanics and Elasticity; Euler''s Work on the Probability Theory; Euler''s Contributions to Ballistics; Euler and His Work on Astronomy and Physics. Readership: Undergraduate and graduate students of mathematics, mathematics education, physics, engineering and science. As well as professionals and prospective mathematical scientists.
Download or read book The Language of Physics written by Elizabeth Garber and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is the first explicit examination of the key role that mathematics has played in the development of theoretical physics and will undoubtedly challenge the more conventional accounts of its historical development. Although mathematics has long been regarded as the "language" of physics, the connections between these independent disciplines have been far more complex and intimate than previous narratives have shown. The author convincingly demonstrates that practices, methods, and language shaped the development of the field, and are a key to understanding the mergence of the modern academic discipline. Mathematicians and physicists, as well as historians of both disciplines, will find this provocative work of great interest.
Download or read book Elements of Algebra written by Leonhard Euler and published by . This book was released on 1810 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Parallels written by Nikolaj Ivanovič Lobačevskij and published by Independently Published. This book was released on 2019-05-22 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: LOBACHEVSKY was the first man ever to publish a non-Euclidean geometry. Of the immortal essay now first appearing in English Gauss said, "The author has treated the matter with a master-hand and in the true geometer's spirit. I think I ought to call your attention to this book, whose perusal cannot fail to give you the most vivid pleasure." Clifford says, "It is quite simple, merely Euclid without the vicious assumption, but the way things come out of one another is quite lovely." * * * "What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevsky to Euclid." Says Sylvester, "In Quaternions the example has been given of Algebra released from the yoke of the commutative principle of multiplication - an emancipation somewhat akin to Lobachevsky's of Geometry from Euclid's noted empirical axiom." Cayley says, "It is well known that Euclid's twelfth axiom, even in Playfair's form of it, has been considered as needing demonstration; and that Lobachevsky constructed a perfectly consistent theory, where- in this axiom was assumed not to hold good, or say a system of non- Euclidean plane geometry. There is a like system of non-Euclidean solid geometry." GEORGE BRUCE HALSTED. 2407 San Marcos Street, Austin, Texas. * * * *From the TRANSLATOR'S INTRODUCTION. "Prove all things, hold fast that which is good," does not mean demonstrate everything. From nothing assumed, nothing can be proved. "Geometry without axioms," was a book which went through several editions, and still has historical value. But now a volume with such a title would, without opening it, be set down as simply the work of a paradoxer. The set of axioms far the most influential in the intellectual history of the world was put together in Egypt; but really it owed nothing to the Egyptian race, drew nothing from the boasted lore of Egypt's priests. The Papyrus of the Rhind, belonging to the British Museum, but given to the world by the erudition of a German Egyptologist, Eisenlohr, and a German historian of mathematics, Cantor, gives us more knowledge of the state of mathematics in ancient Egypt than all else previously accessible to the modern world. Its whole testimony con- firms with overwhelming force the position that Geometry as a science, strict and self-conscious deductive reasoning, was created by the subtle intellect of the same race whose bloom in art still overawes us in the Venus of Milo, the Apollo Belvidere, the Laocoon. In a geometry occur the most noted set of axioms, the geometry of Euclid, a pure Greek, professor at the University of Alexandria. Not only at its very birth did this typical product of the Greek genius assume sway as ruler in the pure sciences, not only does its first efflorescence carry us through the splendid days of Theon and Hypatia, but unlike the latter, fanatics cannot murder it; that dismal flood, the dark ages, cannot drown it. Like the phoenix of its native Egypt, it rises with the new birth of culture. An Anglo-Saxon, Adelard of Bath, finds it clothed in Arabic vestments in the land of the Alhambra. Then clothed in Latin, it and the new-born printing press confer honor on each other. Finally back again in its original Greek, it is published first in queenly Basel, then in stately Oxford. The latest edition in Greek is from Leipsic's learned presses.
Download or read book Maps of the Ancient Sea Kings written by Charles H. Hapgood and published by Adventures Unlimited Press. This book was released on 1966 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hapgood utilizes ancient maps as concrete evidence of an advanced worldwide civilization existing many thousands of years before ancient Egypt. Hapgood concluded that these ancient mapmakers were in some ways much more advanced in mapmaking than any people prior to the 18th century. Hapgood believes that they mapped all the continents. This would mean that the Americas were mapped thousands of years before Columbus. Antarctica would have been mapped when its coasts were free of ice. Hapgood supposes that there is evidence that these people must have lived when the Ice Age had not yet ended in the Northern Hemisphere and when Alaska was still connected with Siberia by the Pleistocene, Ice Age 'land bridge'.
Download or read book Anglo American Encyclopedia written by and published by . This book was released on 1910 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
