The History Of Mathematics A Source Based Approach Volume 2

Author : June Barrow-Green,Jeremy Gray,Robin Wilson
Publisher : American Mathematical Society
Page : 703 pages
File Size : 47,6 Mb
Release : 2022-12-23
Category : Mathematics
ISBN : 9781470472993

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The History of Mathematics: A Source-Based Approach, Volume 2 by June Barrow-Green,Jeremy Gray,Robin Wilson Pdf

The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the second volume of a two-volume set, takes the reader from the invention of the calculus to the beginning of the twentieth century. The initial discoverers of calculus are given thorough investigation, and special attention is also paid to Newton's Principia. The eighteenth century is presented as primarily a period of the development of calculus, particularly in differential equations and applications of mathematics. Mathematics blossomed in the nineteenth century and the book explores progress in geometry, analysis, foundations, algebra, and applied mathematics, especially celestial mechanics. The approach throughout is markedly historiographic: How do we know what we know? How do we read the original documents? What are the institutions supporting mathematics? Who are the people of mathematics? The reader learns not only the history of mathematics, but also how to think like a historian. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.

Author : JUNE. BARROW-GREEN
Publisher : Unknown
Page : 128 pages
File Size : 54,6 Mb
Release : 2021
Category : Electronic
ISBN : 1470464993

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HISTORY OF MATHEMATICS by JUNE. BARROW-GREEN Pdf

Author : June Barrow-Green,Jeremy Gray,Robin Wilson
Publisher : American Mathematical Society
Page : 703 pages
File Size : 50,9 Mb
Release : 2022-05-26
Category : Mathematics
ISBN : 9781470443825

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The History of Mathematics: A Source-Based Approach, Volume 2 by June Barrow-Green,Jeremy Gray,Robin Wilson Pdf

The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the second volume of a two-volume set, takes the reader from the invention of the calculus to the beginning of the twentieth century. The initial discoverers of calculus are given thorough investigation, and special attention is also paid to Newton's Principia. The eighteenth century is presented as primarily a period of the development of calculus, particularly in differential equations and applications of mathematics. Mathematics blossomed in the nineteenth century and the book explores progress in geometry, analysis, foundations, algebra, and applied mathematics, especially celestial mechanics. The approach throughout is markedly historiographic: How do we know what we know? How do we read the original documents? What are the institutions supporting mathematics? Who are the people of mathematics? The reader learns not only the history of mathematics, but also how to think like a historian. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.

Author : June Barrow-Green,Jeremy Gray,Robin Wilson
Publisher : American Mathematical Society
Page : 505 pages
File Size : 48,5 Mb
Release : 2021-12-17
Category : Mathematics
ISBN : 9781470466763

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The History of Mathematics: A Source-Based Approach by June Barrow-Green,Jeremy Gray,Robin Wilson Pdf

The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the first volume of the two-volume set, takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus. It is notable for the extensive engagement with original—primary and secondary—source material. The coverage is worldwide, and embraces developments, including education, in Egypt, Mesopotamia, Greece, China, India, the Islamic world and Europe. The emphasis on astronomy and its historical relationship to mathematics is new, and the presentation of every topic is informed by the most recent scholarship in the field. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.

Author : JUNE. BARROW-GREEN
Publisher : Unknown
Page : 0 pages
File Size : 53,6 Mb
Release : 2021
Category : Electronic
ISBN : 1470469545

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HISTORY OF MATHEMATICS by JUNE. BARROW-GREEN Pdf

Author : Craig Smorynski
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 47,5 Mb
Release : 2007-12-03
Category : Mathematics
ISBN : 9780387754819

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History of Mathematics by Craig Smorynski Pdf

General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.

Author : June Barrow-Green,Jeremy Gray,Robin Wilson
Publisher : Mathematical Association of America
Page : 128 pages
File Size : 44,5 Mb
Release : 2019-07-01
Category : Mathematics
ISBN : 193951214X

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The History of Mathematics: Volume 1 by June Barrow-Green,Jeremy Gray,Robin Wilson Pdf

Author : Karine Chemla,José Ferreirós,Lizhen Ji,Erhard Scholz,Chang Wang
Publisher : Springer Nature
Page : 702 pages
File Size : 42,9 Mb
Release : 2023-11-27
Category : Mathematics
ISBN : 9783031408557

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The Richness of the History of Mathematics by Karine Chemla,José Ferreirós,Lizhen Ji,Erhard Scholz,Chang Wang Pdf

This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.

Author : Jean-Michel Morel,Bernard Teissier
Publisher : Springer Nature
Page : 629 pages
File Size : 49,8 Mb
Release : 2023-06-14
Category : Mathematics
ISBN : 9783031122446

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Mathematics Going Forward by Jean-Michel Morel,Bernard Teissier Pdf

This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.

Author : Thomas Q. Sibley
Publisher : American Mathematical Soc.
Page : 478 pages
File Size : 55,8 Mb
Release : 2021-06-08
Category : Education
ISBN : 9781470460303

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Thinking Algebraically: An Introduction to Abstract Algebra by Thomas Q. Sibley Pdf

Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and conversational throughout. The book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester- or year-long algebra course.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,6 Mb
Release : 1974
Category : Electronic
ISBN : OCLC:921004265

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History of Mathematics by Anonim Pdf

Author : Robert Geretschlager
Publisher : World Scientific
Page : 343 pages
File Size : 46,9 Mb
Release : 2024-01-16
Category : Mathematics
ISBN : 9789811279300

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Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume Iii - Keeping Competition Mathematics Engaging In Pandemic Times by Robert Geretschlager Pdf

Engaging Young Students in Mathematics through Competitions presents a wide range of topics relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment. Following the earlier two volumes, contributors explore a wide variety of fascinating problems of the type often presented at mathematics competitions. In this new third volume, many chapters are directly related to the challenges involved in organizing competitions under Covid-19, including many positive aspects resulting from the transition to online formats. There are also sections devoted to background information on connections between the mathematics of competitions and their organization, as well as the competitions' interplay with research, teaching and more.The various chapters are written by an international group of authors involved in problem development, many of whom were participants of the 9th Congress of the World Federation of National Mathematics Competitions in Bulgaria in 2022. Together, they provide a deep sense of the issues involved in creating such problems for competition mathematics and recreational mathematics.

Author : Carl B. Boyer,Uta C. Merzbach
Publisher : John Wiley & Sons
Page : 695 pages
File Size : 43,5 Mb
Release : 2011-01-25
Category : Mathematics
ISBN : 9780470630563

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A History of Mathematics by Carl B. Boyer,Uta C. Merzbach Pdf

The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

Author : Graham Flegg,S. H. Hollingdale,R. L. Wilder,Open University
Publisher : Unknown
Page : 128 pages
File Size : 53,8 Mb
Release : 1974
Category : Electronic
ISBN : OCLC:471922630

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History of Mathematics by Graham Flegg,S. H. Hollingdale,R. L. Wilder,Open University Pdf

Author : Florian Cajori
Publisher : Cosimo, Inc.
Page : 393 pages
File Size : 48,8 Mb
Release : 2007-06-01
Category : Mathematics
ISBN : 9781602067141

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A History of Mathematical Notations by Florian Cajori Pdf

Described even today as "unsurpassed," this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes-first published in 1928-9-distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it faced in its rise to popularity or fall into obscurity. Illustrated with more than a hundred diagrams and figures, this "mirror of past and present conditions in mathematics" will give students and historians a whole new appreciation for "1 + 1 = 2." Swiss-American author, educator, and mathematician FLORIAN CAJORI (1859-1930) was one of the world's most distinguished mathematical historians. Appointed to a specially created chair in the history of mathematics at the University of California, Berkeley, he also wrote An Introduction to the Theory of Equations, A History of Elementary Mathematics, and The Chequered Career of Ferdinand Rudolph Hassler.