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The History of Mathematics

The History of Mathematics PDF Author: David M. Burton
Publisher: WCB/McGraw-Hill
ISBN: 9780697068552
Category : Mathematics
Languages : en
Pages : 544

Book Description
"The History of Mathematics: An Introduction," Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton's imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day. Burton illuminates the people, stories, and social context behind mathematics'greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library.

The History of Mathematics

The History of Mathematics PDF Author: David M. Burton
Publisher: WCB/McGraw-Hill
ISBN: 9780697068552
Category : Mathematics
Languages : en
Pages : 544

Book Description
"The History of Mathematics: An Introduction," Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton's imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day. Burton illuminates the people, stories, and social context behind mathematics'greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library.

The Cosmographia of Sebastian Münster

The Cosmographia of Sebastian Münster PDF Author: Dr Matthew McLean
Publisher: Ashgate Publishing, Ltd.
ISBN: 1409479811
Category : History
Languages : en
Pages : 400

Book Description
Sebastian Münster's Cosmographia was an immensely influential book that attempted to describe the entire world across all of human history and analyse its constituent elements of geography, history, ethnography, zoology and botany. First published in 1544 it went through thirty-five editions and was published in five languages, making it one of the most important books of the Reformation period. Beginning with a biographical study of Sebastian Münster, his life and the range of his scholarly work, this book then moves on to discuss the genre of cosmography. The bulk of the book, however, deals with the Cosmographia itself, offering a close reading of the 1550 Latin edition (the last and definitive edition worked upon by Münster). By analysing the contents of the Cosmographia it attempts to recreate how the world of the sixteenth century appeared to a scholar living in Basel, and understand what he saw and heard. Through this examination of Münster, his publications and scholarly networks, the conflicts and continuities between medieval scholarly traditions and the widening horizons of the sixteenth century are explored and revealed. Of interest to scholars of humanist culture, the Reformation and book history, this ambitious work throws into relief previously overlooked aspects of the intellectual and religious culture of the time.

Nature and Logos

Nature and Logos PDF Author: William S. Hamrick
Publisher: State University of New York Press
ISBN: 1438436181
Category : Philosophy
Languages : en
Pages : 283

Book Description
This is the first booklength account of how Maurice Merleau-Ponty used certain texts by Alfred North Whitehead to develop an ontology based on nature, and how he could have used other Whitehead texts that he did not know in order to complete his last ontology. This account is enriched by several of Merleau-Ponty's unpublished writings not previously available in English, by the first detailed treatment of certain works by F.W.J. Schelling in the course of showing how they exerted a substantial influence on both Merleau-Ponty and Whitehead, and by the first extensive discussion of Merleau-Ponty's interest in the Stoics's notion of the twofold logos—the logos endiathetos and the logos proforikos. This book provides a thorough exploration of the consonance between these two philosophers in their mutual desire to overcome various bifurcations of nature, and of nature from spirit, that continued to haunt philosophy and science since the 17th-century.

Vedic Mathematics

Vedic Mathematics PDF Author: Swami Bharati Krishna Tirtha
Publisher: Motilal Banarsidass Publ.
ISBN: 9788120801639
Category : Hindu mathematics
Languages : en
Pages : 412

Book Description
This epoch-making and monumental work on Vedic Mathematics unfolds a new method of approach. It relates to the truth of numbers and magnitudes equally applicable to all sciences and arts. The book brings to light how great and true knowledge is born of intuition, quite different from modern Western method. The ancient Indian method and its secret techniques are examined and shown to be capable of solving various problems of mathematics. The universe we live in has a basic mathematical structure obeying the rules of mathematical measures and relations. All the subjects in mathematics-Multiplication, Division, Factorization, Equations, Calculus, Analytical Conics, etc.-are dealt with in forty chapters, vividly working out all problems, in the easiest ever method discovered so far. The volume, more a 'magic', is the result of intuitional visualization of fundamental mathematical truths born after eight years of highly concentrated endeavour of Jagadguru Sri Bharati Krsna Tirtha.

Conflicts Between Generalization, Rigor, and Intuition

Conflicts Between Generalization, Rigor, and Intuition PDF Author: Gert Schubring
Publisher: Springer Science & Business Media
ISBN: 0387282734
Category : Mathematics
Languages : en
Pages : 689

Book Description
This volume is, as may be readily apparent, the fruit of many years’ labor in archives and libraries, unearthing rare books, researching Nachlässe, and above all, systematic comparative analysis of fecund sources. The work not only demanded much time in preparation, but was also interrupted by other duties, such as time spent as a guest professor at universities abroad, which of course provided welcome opportunities to present and discuss the work, and in particular, the organizing of the 1994 International Graßmann Conference and the subsequent editing of its proceedings. If it is not possible to be precise about the amount of time spent on this work, it is possible to be precise about the date of its inception. In 1984, during research in the archive of the École polytechnique, my attention was drawn to the way in which the massive rupture that took place in 1811—precipitating the change back to the synthetic method and replacing the limit method by the method of the quantités infiniment petites—significantly altered the teaching of analysis at this first modern institution of higher education, an institution originally founded as a citadel of the analytic method.

The Principles of Algebra

The Principles of Algebra PDF Author: William Frend
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 688

Book Description


The Shaping of Deduction in Greek Mathematics

The Shaping of Deduction in Greek Mathematics PDF Author: Reviel Netz
Publisher: Cambridge University Press
ISBN: 9780521541206
Category : History
Languages : en
Pages : 356

Book Description
The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.

Monet, Narcissus, and Self-Reflection

Monet, Narcissus, and Self-Reflection PDF Author: Steven Zalman Levine
Publisher: University of Chicago Press
ISBN: 9780226475431
Category : Art
Languages : en
Pages : 466

Book Description
Steven Z. Levine provides a new understanding of the life and work of Claude Monet and the myth of the modern artist. Levine analyzes the extensive critical reception of Monet and the artist's own prolific writings in the context of the story of Narcissus, popular in late nineteenth-century France. Through a careful blending of psychoanalytical theory and historical study, Levine identifies narcissism and obsession as driving forces in Monet's art and demonstrates how we derive meaning from the accumulated verbal responses to an artist's work.

A History of Mathematics

A History of Mathematics PDF Author: Victor J. Katz
Publisher: Addison Wesley Publishing Company
ISBN: 9780673380395
Category : Mathematics
Languages : en
Pages : 786

Book Description
This text grew from the authors' conviction that both prospective school teachers and college teachers of maths need a background in history to be more effective as instructors in the classroom. Prospective instructors gain an appreciation of the contributions of all cultures, and this text explains how mathematics developed over the centuries. Also suitable for those studying maths and science at degree level.

Between Copernicus and Galileo

Between Copernicus and Galileo PDF Author: James M. Lattis
Publisher: University of Chicago Press
ISBN: 0226469263
Category : History
Languages : en
Pages : 316

Book Description
Between Copernicus and Galileo is the story of Christoph Clavius, the Jesuit astronomer and teacher whose work helped set the standards by which Galileo's famous claims appeared so radical, and whose teachings guided the intellectual and scientific agenda of the Church in the central years of the Scientific Revolution. Though relatively unknown today, Clavius was enormously influential throughout Europe in the late sixteenth and early seventeenth centuries through his astronomy books—the standard texts used in many colleges and universities, and the tools with which Descartes, Gassendi, and Mersenne, among many others, learned their astronomy. James Lattis uses Clavius's own publications as well as archival materials to trace the central role Clavius played in integrating traditional Ptolemaic astronomy and Aristotelian natural philosophy into an orthodox cosmology. Although Clavius strongly resisted the new cosmologies of Copernicus and Tycho, Galileo's invention of the telescope ultimately eroded the Ptolemaic world view. By tracing Clavius's views from medieval cosmology the seventeenth century, Lattis illuminates the conceptual shift from Ptolemaic to Copernican astronomy and the social, intellectual, and theological impact of the Scientific Revolution.