Download or read book The Mathematical Writings of Euclid Archimedes Apollonius of Perga Nicomachus of Gerasa written by and published by . This book was released on 1985 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Analysis written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than two thousand years some familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today the traditional place of mathematics in education is in grave danger. Unfortunately, professional representatives of mathematics share in the reponsibiIity. The teaching of mathematics has sometimes degen erated into empty drill in problem solving, which may develop formal ability but does not lead to real understanding or to greater intellectual indepen dence. Mathematical research has shown a tendency toward overspecialization and over-emphasis on abstraction. Applications and connections with other fields have been neglected . . . But . . . understanding of mathematics cannot be transmitted by painless entertainment any more than education in music can be brought by the most brilliant journalism to those who never have lis tened intensively. Actual contact with the content of living mathematics is necessary. Nevertheless technicalities and detours should be avoided, and the presentation of mathematics should be just as free from emphasis on routine as from forbidding dogmatism which refuses to disclose motive or goal and which is an unfair obstacle to honest effort. (From the preface to the first edition of What is Mathematics? by Richard Courant and Herbert Robbins, 1941.
Download or read book At the Borders of the Human written by Susan Wiseman and published by Springer. This book was released on 2016-07-27 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is, what was the human? This book argues that the making of the human as it is now understood implies a renegotiation of the relationship between the self and the world. The development of Renaissance technologies of difference such as mapping, colonialism and anatomy paradoxically also illuminated the similarities between human and non-human. This collection considers the borders between humans and their imagined others: animals, women, native subjects, machines. It examines border creatures (hermaphrodites, wildmen and cyborgs) and border practices (science, surveying and pornography).
Download or read book Algebra in Context written by Amy Shell-Gellasch and published by JHU Press. This book was released on 2015-10-15 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engaging new approach to teaching algebra that takes students on a historical journey from its roots to modern times. This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a crucial part not only of civilization but also of everyday life. Even those who have avoided mathematics for years will find the historical stories both inviting and gripping. The book’s lessons begin with the creation and spread of number systems, from the mathematical development of early civilizations in Babylonia, Greece, China, Rome, Egypt, and Central America to the advancement of mathematics over time and the roles of famous figures such as Descartes and Leonardo of Pisa (Fibonacci). Before long, it becomes clear that the simple origins of algebra evolved into modern problem solving. Along the way, the language of mathematics becomes familiar, and students are gradually introduced to more challenging problems. Paced perfectly, Amy Shell-Gellasch and J. B. Thoo’s chapters ease students from topic to topic until they reach the twenty-first century. By the end of Algebra in Context, students using this textbook will be comfortable with most algebra concepts, including • Different number bases • Algebraic notation • Methods of arithmetic calculation • Real numbers • Complex numbers • Divisors • Prime factorization • Variation • Factoring • Solving linear equations • False position • Solving quadratic equations • Solving cubic equations • nth roots • Set theory • One-to-one correspondence • Infinite sets • Figurate numbers • Logarithms • Exponential growth • Interest calculations
Download or read book The Works of Archimedes written by Archimedes and published by . This book was released on 1897 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Routledge Revivals Medieval Science Technology and Medicine 2006 written by Thomas F. Glick and published by Taylor & Francis. This book was released on 2017-07-05 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2005, this encyclopedia demonstrates that the millennium from the fall of the Roman Empire to the Renaissance was a period of great intellectual and practical achievement and innovation. In Europe, the Islamic world, South and East Asia, and the Americas, individuals built on earlier achievements, introduced sometimes radical refinements and laid the foundations for modern development. Medieval Science, Technology, and Medicine details the whole scope of scientific knowledge in the medieval period in more than 300 A to Z entries. This comprehensive resource discusses the research, application of knowledge, cultural and technology exchanges, experimentation, and achievements in the many disciplines related to science and technology. It also looks at the relationship between medieval science and the traditions it supplanted. Written by a select group of international scholars, this reference work will be of great use to scholars, students, and general readers researching topics in many fields, including medieval studies, world history, history of science, history of technology, history of medicine, and cultural studies.
Download or read book Science in the Ancient World written by Russell M. Lawson and published by Bloomsbury Publishing USA. This book was released on 2021-09-23 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science in the Ancient World presents a worldwide history of science, from prehistoric times through the medieval period. It covers Europe, Africa, Asia, and the Americas and includes topics ranging from alchemy and astrology to psychology and physics. This work spans prehistory to 1500 CE, examining thousands of years of history in four world regions: Asia, Africa, Europe, and the Americas. Highlights of this period include the onset of civilization and science in Mesopotamia and Egypt, the accomplishments of the ancient Greeks between 700 BCE and 100 CE, the adaptation of Greek science by the Romans, the spread of Greek science during the Hellenistic Age, the expansion of Islamic power and commensurate scientific knowledge, and the development of science and philosophy in ancient China and India. Focusing on the history of the science that blossomed in the above regions, scientific disciplines covered include alchemy, astronomy, astrology, agriculture, architecture, biology, botany, chemistry, engineering, exploration, geography, hydraulics, institutions of science, marine science, mathematics, medicine, meteorology, military science, myth and religion, philosophy, philosophy of science, psychology, physics, and social sciences. In all of these fields, theory and application are explored, as are leading individuals and schools of thought, centers of intellectual activity, and notable accomplishments and inventions.
Download or read book About Sieves and Sieving written by Barbara Baert and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-04-15 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sieve exhibits a wide-ranging symbolism that extends across art history, philosophy, anthropology, psychoanalysis, and gender studies. Barbara Baert looks at the sieve from an interdisciplinary perspective and from four different innovative methodological angles: as motif and symbol, as technique and as paradigm. The sieve as motif goes back to Roman stories the Vestal Virgins. In later times, their impermeable sieve, which - according to legend - they used to fetch water from the River Tiber, was iconographically transferred to Elisabeth I as a sign of her integrity. Furthermore, the long durée life of sieves as symbolic-technical utilitarian object is investigated: in examples from the Jewish folklore, the Berber culture, and ancient Egypt.
Download or read book Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean written by Victor J. Katz and published by Princeton University Press. This book was released on 2024-09-17 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable reference book on the mathematics of Greek antiquity Euclid, Archimedes, and Apollonius are familiar names to many of us, and their contributions have shaped mathematical practice up to modern times. Yet the mathematical activity of Greek antiquity extended far beyond their achievements and was furthered by diverse individuals in different contexts. Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean brings together an extensive collection of primary source materials that document the extraordinary breadth of mathematical ideas developed in the Eastern Mediterranean from 500 BCE to 500 CE, a millennium in which Greek cultural influence spanned the ancient world. Weaving together ancient commentaries with the works themselves, Victor Katz and Clemency Montelle present a wealth of newly translated texts along with sources difficult to find elsewhere, from writings by the great mathematical thinkers of Greek antiquity to those by practitioners who used mathematics in everyday life. This comprehensive and wide-ranging sourcebook includes lesser-known authors who made critical contributions, sometimes in languages other than Greek, as well as accounts of technical instrumentation, papyri by anonymous authors designed for teaching purposes, and evidence of hand computations and numerical tables. An essential resource for anyone interested in the mathematical achievements of this remarkable intellectual culture, Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean encompasses disciplines that illustrate the important role of mathematics in ancient Greek society more broadly, from astronomy, music, and optics to philosophy, literature, and theater.
Download or read book The History of Mathematics written by David M. Burton and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1997 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text concentrates on the history of those topics typically covered in an undergraduate curriculum or in secondary schools. It presents a full account of how mathematics has developed over the last 5000 years, and assorted problems of varying degrees of difficulty have been interspersed throughout the text.
Download or read book Medieval Science Technology and Medicine written by Thomas F. Glick and published by Routledge. This book was released on 2014-01-27 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval Science, Technology, and Medicine details the whole scope of scientific knowledge in the medieval period in more than 300 A to Z entries. This resource discusses the research, application of knowledge, cultural and technology exchanges, experimentation, and achievements in the many disciplines related to science and technology. Coverage includes inventions, discoveries, concepts, places and fields of study, regions, and significant contributors to various fields of science. There are also entries on South-Central and East Asian science. This reference work provides an examination of medieval scientific tradition as well as an appreciation for the relationship between medieval science and the traditions it supplanted and those that replaced it. For a full list of entries, contributors, and more, visit the Routledge Encyclopedias of the Middle Ages website.
Download or read book Islamic Science and Engineering written by Donald R. Hill and published by Edinburgh University Press. This book was released on 2019-07-30 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Islamic Science and Engineering".
Download or read book Latin as the Language of Science and Learning written by Philipp Roelli and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-22 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the role of the Latin language as a vehicle for science and learning from several angles. First, the question what was understood as ‘science’ through time and how it is named in different languages, especially the Classical ones, is approached. Criteria for what did pass as scientific are found that point to ‘science’ as a kind of Greek Denkstil based on pattern-finding and their unbiased checking. In a second part, a brief diachronic panorama introduces schools of thought and authors who wrote in Latin from antiquity to the present. Latin’s heydays in this function are clearly the time between the twelfth and eighteenth centuries. Some niches where it was used longer are examined and reasons sought why Latin finally lost this lead-role. A third part seeks to define the peculiar characteristics of scientific Latin using corpus linguistic approaches. As a result, several types of scientific writing can be identified. The question of how to transfer science from one linguistic medium to another is never far: Latin inherited this role from Greek and is in turn the ancestor of science done in the modern vernaculars. At the end of the study, the importance of Latin science for modern science in English becomes evident.
Download or read book A Source Book in Greek Science written by Morris Raphael Cohen and published by Cambridge : Harvard University Press, 1958 [c1948]. This book was released on 1958 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the general fields of mathematics, astronomy, mathematical geography, physics, chemistry and chemical technology, geology and meteorology, biology, medicine, and physiological psychology, the present collection surveys the field of Greek scientific achievement over a thousand-year period. Many Greek scientific treatises were written and read by cultivated people who did not regard themselves as specialists. These works should appeal today to those readers who wish to understand not only the foundations of modern science, but also a vital element of the humanistic tradition.
Download or read book Simplicius On Aristotle Physics 1 8 written by and published by Bloomsbury Publishing. This book was released on 2022-04-07 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supporting the twelve volumes of translation of Simplicius' great commentary on Aristotle's Physics, all published by Bloomsbury in the Ancient Commentators on Aristotle series, between 1992 and 2021, this volume presents a general introduction to the commentary. It covers the philosophical aims of Simplicius' commentaries on the Physics and the related text On the Heaven; Simplicius' methods and his use of earlier sources; and key themes and comparison with Philoponus' commentary on the same text. Simplicius treats the Physics as a universal study of the principles of all natural things underlying the account of the cosmos in On the Heaven. In both treatises, he responds at every stage to the now lost Peripatetic commentaries of Alexander of Aphrodisias, which set Aristotle in opposition to Plato and to earlier thinkers such as Parmenides, Empedocles and Anaxagoras. On each passage, Simplicius after going through Alexander's commentary raises difficulties for the text of Aristotle as interpreted by Alexander. Then, after making observations about details of the text, and often going back to a direct reading of the older philosophers (for whom he is now often our main source, as he is for Alexander's commentary), he proposes his own solution to the difficulties, introduced with a modest 'perhaps', which reads Aristotle as in harmony with Plato and earlier thinkers.
Download or read book Prolegomena Mathematica written by Jaap Mansfeld and published by BRILL. This book was released on 2016-06-21 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first study to deal with the history of Greek mathematics - starting with Appollonius and including astronomy - as part of the history of literary culture. It attempts to find out how mathematical works were presented by original authors (e.g. Ptolemy), and introduced and explained by commentators (e.g. Pappus who is at the centre of this enquiry, Eutocius, and prolegomena by late Anonymi). The manner in which mathematical treatises were presented and studied is entirely comparable to that practised in e.g. philosophy, medicine, biblical and literary studies (see the author's Prolegomena, (Brill, 1994)). Discussion of introductory issues is a standard feature, and in mathematics the development from the implicitly expressed to the explicitly expressed and from there to scholastic routine is the same as in these other fields.
Download or read book The History of Mathematical Proof in Ancient Traditions written by Karine Chemla and published by Cambridge University Press. This book was released on 2012-07-05 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.
