Journey through Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387921540
Total Pages : 479 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Journey through Mathematics by : Enrique A. González-Velasco

Download or read book Journey through Mathematics written by Enrique A. González-Velasco and published by Springer Science & Business Media. This book was released on 2011-08-08 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an accessible and in-depth look at some of the most important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math.

The Rational Enterprise

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Publisher : State University of New York Press
ISBN 13 : 1438400918
Total Pages : 290 pages
Book Rating : 4.4/5 (384 download)

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Book Synopsis The Rational Enterprise by : Rosemary Desjardins

Download or read book The Rational Enterprise written by Rosemary Desjardins and published by State University of New York Press. This book was released on 1990-03-09 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Desjardins' conclusion, that the Theaetetus really does point to a particular theory of knowledge, certainly will be controversial, since for many people the idea that the Theaetetus fails to define knowledge is the cornerstone of their interpretation of Plato's later philosophical thought. But whatever one thinks about the conclusion, it must be agreed that the manner in which it is defended is intrinsically important. Desjardins starts from the unassailable premise that the dialogues are internally unified, and that everything in the dialogues is there for a reason. Her method, then, is to show how some of the features of the dialogue that are usually not taken very seriously actually are very important. Of course, she is not the only scholar taking this sort of tack, but what she makes of the various elements of the Theaetetus is a most impressive construction.

Logic for Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461206499
Total Pages : 466 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Logic for Applications by : Anil Nerode

Download or read book Logic for Applications written by Anil Nerode and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the re cent dramatic growth in the applications oflogic to computer science. Thus, our choice oftopics has been heavily influenced by such applications. Of course, we cover the basic traditional topics: syntax, semantics, soundnes5, completeness and compactness as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much ofour book, however, deals with other less traditional topics. Resolution theorem proving plays a major role in our treatment of logic especially in its application to Logic Programming and PRO LOG. We deal extensively with the mathematical foundations ofall three ofthese subjects. In addition, we include two chapters on nonclassical logics - modal and intuitionistic - that are becoming increasingly important in computer sci ence. We develop the basic material on the syntax and semantics (via Kripke frames) for each of these logics. In both cases, our approach to formal proofs, soundness and completeness uses modifications of the same tableau method in troduced for classical logic. We indicate how it can easily be adapted to various other special types of modal logics. A number of more advanced topics (includ ing nonmonotonic logic) are also briefly introduced both in the nonclassical logic chapters and in the material on Logic Programming and PROLOG.

Jordanus de Nemore, de Numeris Datis

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Publisher : Univ of California Press
ISBN 13 : 0520321677
Total Pages : 224 pages
Book Rating : 4.5/5 (23 download)

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Book Synopsis Jordanus de Nemore, de Numeris Datis by :

Download or read book Jordanus de Nemore, de Numeris Datis written by and published by Univ of California Press. This book was released on 2022-05-27 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1981.

Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean

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Publisher : Princeton University Press
ISBN 13 : 0691202818
Total Pages : 720 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean by : Victor J. Katz

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 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In recent decades, there has been extensive research on Greek mathematics that has considerably enlarged the scope of this area of inquiry. Traditionally, "Greek mathematics" has referred to the axiomatic work of Archimedes, Apollonius, and others in the first three centuries BCE. However, there is a wide body of mathematical work that appeared in the eastern Mediterranean during the time it was under Greek influence (from approximately 400 BCE to 600 CE), which remains under-explored in the existing scholarship. This sourcebook provides an updated look at Greek mathematics, bringing together classic Greek texts with material from lesser-known authors, as well as newly uncovered texts that have been omitted in previous scholarship. The book adopts a broad scope in defining mathematical practice, and as such, includes fields such as music, optics, and architecture. It includes important sources written in languages other than Greek in the eastern Mediterranean area during the period from 400 BCE to 600 CE, which show some influence from Greek culture. It also includes passages that highlight the important role mathematics played in philosophy, pedagogy, and popular culture. The book is organized topically; chapters include arithmetic, plane geometry, astronomy, and philosophy, literature, and education. Within each chapter, the (translated) texts are organized chronologically. The book weaves together ancient commentary on classic Greek works with the works themselves to show how the understanding of mathematical ideas changed over the centuries"--

Tales of Impossibility

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Publisher : Princeton University Press
ISBN 13 : 0691218722
Total Pages : 450 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Tales of Impossibility by : David S. Richeson

Download or read book Tales of Impossibility written by David S. Richeson and published by Princeton University Press. This book was released on 2021-11-02 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.

Using the Mathematics Literature

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Publisher : CRC Press
ISBN 13 : 9780824750350
Total Pages : 412 pages
Book Rating : 4.7/5 (53 download)

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Book Synopsis Using the Mathematics Literature by : Kristine K. Fowler

Download or read book Using the Mathematics Literature written by Kristine K. Fowler and published by CRC Press. This book was released on 2004-05-25 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.

Constantin Carathéodory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642185622
Total Pages : 667 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Constantin Carathéodory by : Maria Georgiadou

Download or read book Constantin Carathéodory written by Maria Georgiadou and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: With breathtaking detail, Maria Georgiadou sheds light on the work and life of Constantin Carathéodory, who until now has been ignored by historians. In her thought-provoking book, Georgiadou maps out the mathematician’s oeuvre, life and turbulent historical surroundings. Descending from the Greek élite of Constantinople, Carathéodory graduated from the military school of Brussels, became engineer at the Assiout dam in Egypt and finally dedicated a lifetime to mathematics and education. He significantly contributed to: calculus of variations, the theory of point set measure, the theory of functions of a real variable, pdes, and complex function theory. An exciting and well-written biography, once started, difficult to put down.

The Ancient World

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Publisher : Routledge
ISBN 13 : 1135457409
Total Pages : 1354 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis The Ancient World by : Frank N. Magill

Download or read book The Ancient World written by Frank N. Magill and published by Routledge. This book was released on 2003-12-16 with total page 1354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing 250 entries, each volume of the Dictionary of World Biography contains examines the lives of the individuals who shaped their times and left their mark on world history. Much more than a 'Who's Who', each entry provides an in-depth essay on the life and career of the individual concerned. Essays commence with a quick reference section that provides basic facts on the individual's life and achievements, and conclude with a fully annotated bibliography. The extended biography places the life and works of the individual within an historical context, and the summary at the end of each essay provides a synopsis of the individual's place in history. Any student in the field will want to have one of these as a handy reference companion.

The Portable Greek Reader

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Publisher : Penguin
ISBN 13 : 1101173734
Total Pages : 737 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis The Portable Greek Reader by : W. H. Auden

Download or read book The Portable Greek Reader written by W. H. Auden and published by Penguin. This book was released on 1977-08-25 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is commonplace to say that our civilization is built on the ruins of Greece. W. H. Auden’s splendid anthology locates the truth behind the truism, while filling in the gaps in our knowledge of a people who gave us so much of our cultural legacy. Every page in The Portable Greek Reader contains some fundamental precursor of the ways in which we think about heroism, destiny, love, politics, tragedy, science, virtue, and thought itself, Included are excerpts from the mythologies of Hesiod; the martial epics of Homer; the dramas of Aeschylus, Sophocles, and Euripides; the philosophy of Plato, Aristotle, and Heraclitus; Aesop’s fables; poems by Pindar and Sappho; the scientific writings of Euclid, Galen, and Hippocrates; and the history of Thucydides. Presented in their most elegant and authoritative translations, and accompanied by Auden’s brilliant introduction, these selections recreate the Greek world in all its splendor, strangeness, and sophistication. “Engaging and full and intelligent … a command performance, brought off with considerable aplomb.” —The New York Times

De Visione Stellarum

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Publisher : BRILL
ISBN 13 : 9004153705
Total Pages : 334 pages
Book Rating : 4.0/5 (41 download)

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Book Synopsis De Visione Stellarum by : Dan Burton

Download or read book De Visione Stellarum written by Dan Burton and published by BRILL. This book was released on 2007 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this critical edition of Nicole Oresme's 14th-century treatise on atmospheric refraction, Oresme uses optics and infinitesimals to help solve this vexing problem of astronomy, proposing that light travels along a curve through the atmosphere, centuries before Hooke and Newton.

Euler's Gem

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Publisher : Princeton University Press
ISBN 13 : 0691191999
Total Pages : 336 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Euler's Gem by : David S. Richeson

Download or read book Euler's Gem written by David S. Richeson and published by Princeton University Press. This book was released on 2019-07-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.

Reviews in Number Theory, as Printed in Mathematical Reviews, 1940 Through 1972, Volumes 1-44 Inclusive

Download Reviews in Number Theory, as Printed in Mathematical Reviews, 1940 Through 1972, Volumes 1-44 Inclusive PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Reviews in Number Theory, as Printed in Mathematical Reviews, 1940 Through 1972, Volumes 1-44 Inclusive by : William Judson LeVeque

Download or read book Reviews in Number Theory, as Printed in Mathematical Reviews, 1940 Through 1972, Volumes 1-44 Inclusive written by William Judson LeVeque and published by . This book was released on 1974 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Classical Weekly

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Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Classical Weekly by :

Download or read book The Classical Weekly written by and published by . This book was released on 1921 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Classical World

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Publisher :
ISBN 13 :
Total Pages : 674 pages
Book Rating : 4.0/5 (952 download)

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Book Synopsis The Classical World by :

Download or read book The Classical World written by and published by . This book was released on 1921 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Cambridge History of Science: Volume 2, Medieval Science

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Publisher : Cambridge University Press
ISBN 13 : 1316025470
Total Pages : 865 pages
Book Rating : 4.3/5 (16 download)

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Book Synopsis The Cambridge History of Science: Volume 2, Medieval Science by : David C. Lindberg

Download or read book The Cambridge History of Science: Volume 2, Medieval Science written by David C. Lindberg and published by Cambridge University Press. This book was released on 2013-10-07 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the highly respected Cambridge History of Science series is devoted to the history of science in the Middle Ages from the North Atlantic to the Indus Valley. Medieval science was once universally dismissed as non-existent - and sometimes it still is. This volume reveals the diversity of goals, contexts and accomplishments in the study of nature during the Middle Ages. Organized by topic and culture, its essays by distinguished scholars offer the most comprehensive and up-to-date history of medieval science currently available. Intended to provide a balanced and inclusive treatment of the medieval world, contributors consider scientific learning and advancement in the cultures associated with the Arabic, Greek, Latin and Hebrew languages. Scientists, historians and other curious readers will all gain a new appreciation for the study of nature during an era that is often misunderstood.

A Richer Picture of Mathematics

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Publisher : Springer
ISBN 13 : 3319678191
Total Pages : 448 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis A Richer Picture of Mathematics by : David E. Rowe

Download or read book A Richer Picture of Mathematics written by David E. Rowe and published by Springer. This book was released on 2018-02-13 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts. Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow recount episodes relating to the section’s overall theme. All of the essays in this collection, with the exception of two, appeared over the course of more than 30 years in The Mathematical Intelligencer. Based largely on archival and primary sources, these vignettes offer unusual insights into behind-the-scenes events. Taken together, they aim to show how Göttingen managed to attract an extraordinary array of talented individuals, several of whom contributed to the development of a new mathematical culture during the first decades of the twentieth century.