Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download History Of Modern Mathematics full books in PDF, epub, and Kindle. Read online History Of Modern Mathematics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : David Eugene Smith
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.A/5 ( download)
Download or read book History of Modern Mathematics written by David Eugene Smith and published by . This book was released on 1896 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Aspray
Publisher : U of Minnesota Press
ISBN 13 : 0816615675
Total Pages : 396 pages
Book Rating : 4.8/5 (166 download)
Download or read book History and Philosophy of Modern Mathematics written by William Aspray and published by U of Minnesota Press. This book was released on 1988 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history of mathematics. In History and Philosophy of Modern Mathematics, William Aspray and Philip Kitcher bring together distinguished scholars from mathematics, history, and philosophy to assess the current state of the field. Their essays, which grow out of a 1985 conference at the University of Minnesota, develop the basic premise that mathematical thought needs to be studied from an interdisciplinary perspective. The opening essays study issues arising within logic and the foundations of mathematics, a traditional area of interest to historians and philosophers. The second section examines issues in the history of mathematics within the framework of established historical periods and questions. Next come case studies that illustrate the power of an interdisciplinary approach to the study of mathematics. The collection closes with a look at mathematics from a sociohistorical perspective, including the way institutions affect what constitutes mathematical knowledge.
Author : J. Ferreiros
Publisher : OUP Oxford
ISBN 13 : 0191513792
Total Pages : 456 pages
Book Rating : 4.1/5 (915 download)
Download or read book The Architecture of Modern Mathematics written by J. Ferreiros and published by OUP Oxford. This book was released on 2006-04-27 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.
Author : Jean Dieudonné
Publisher : Springer Science & Business Media
ISBN 13 : 0817649077
Total Pages : 648 pages
Book Rating : 4.8/5 (176 download)
Download or read book A History of Algebraic and Differential Topology, 1900 - 1960 written by Jean Dieudonné and published by Springer Science & Business Media. This book was released on 2009-09-01 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet
Author : Jose Ferreiros
Publisher : Springer Science & Business Media
ISBN 13 : 9783764357498
Total Pages : 472 pages
Book Rating : 4.3/5 (574 download)
Download or read book Labyrinth of Thought written by Jose Ferreiros and published by Springer Science & Business Media. This book was released on 2001-11-01 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: "José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)
Author : Eberhard Knobloch
Publisher : Academic Press
ISBN 13 : 9780125996631
Total Pages : 336 pages
Book Rating : 4.9/5 (966 download)
Download or read book The History of Modern Mathematics written by Eberhard Knobloch and published by Academic Press. This book was released on 1994-07-05 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains nine essays dealing with historical issues of mathematics. The topics covered span three different approaches to the history of mathematics that may be considered both representative and vital tothe field. The first section, Images of Mathematics, addresses the historiographical and philosophical issues involved in determining the meaning of mathematical history. The second section, Differential Geometry and Analysis, traces the convoluted development of the ideas of differential geometry and analysis. The third section, Research Communities and International Collaboration, discusses the structure and interaction of mathematical communities through studies of the social fabric of the mathematical communities of the U.S. and China.
Author : Jeremy Gray
Publisher : Princeton University Press
ISBN 13 : 1400829046
Total Pages : 528 pages
Book Rating : 4.4/5 (8 download)
Download or read book Plato's Ghost written by Jeremy Gray and published by Princeton University Press. This book was released on 2008-09-02 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve set theory and the revived axiomatic method—debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.
Author : N. Bourbaki
Publisher : Springer Science & Business Media
ISBN 13 : 3642616933
Total Pages : 299 pages
Book Rating : 4.6/5 (426 download)
Download or read book Elements of the History of Mathematics written by N. Bourbaki and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each volume of Nicolas Bourbakis well-known work, The Elements of Mathematics, contains a section or chapter devoted to the history of the subject. This book collects together those historical segments with an emphasis on the emergence, development, and interaction of the leading ideas of the mathematical theories presented in the Elements. In particular, the book provides a highly readable account of the evolution of algebra, geometry, infinitesimal calculus, and of the concepts of number and structure, from the Babylonian era through to the 20th century.
Author : John Stillwell
Publisher : Springer Nature
ISBN 13 : 3030551938
Total Pages : 400 pages
Book Rating : 4.0/5 (35 download)
Download or read book Mathematics and Its History written by John Stillwell and published by Springer Nature. This book was released on 2020-11-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition
Author : David Eugene Smith
Publisher : BoD - Books on Demand
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.0/5 (419 download)
Download or read book History of modern Mathematics written by David Eugene Smith and published by BoD - Books on Demand. This book was released on 2023-01-01 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of the major figures and mathematical movements of the 19th century, this is a thorough examination of every significant foundation stone of today's modern mathematics. Providing clear and concise articles on the fundamental definition of numbers through to quantics and infinite series, as well as exposition on the relationships between theorems, this volume, which was first published in 1896, cements itself as an essential reference work, a solid jumping-off point for all students of mathematics, and a fascinating glimpse at the once-cutting edge that now is taken for granted in an ever-changing scientific field. New York lawyer and mathematician DAVID EUGENE SMITH (1860-1944) authored a number of books while a professor of mathematics at Columbia University, including The Teaching of Elementary Mathematics (1900), A History of Japanese Mathematics (1914).
Author : Jeremy J. Gray
Publisher : American Mathematical Soc.
ISBN 13 : 0821869043
Total Pages : 336 pages
Book Rating : 4.8/5 (218 download)
Download or read book Episodes in the History of Modern Algebra (1800-1950) written by Jeremy J. Gray and published by American Mathematical Soc.. This book was released on 2011-08-31 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia. The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call "modern algebra" is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenth-century work of Charles Babbage on functional equations to Alexandre Grothendieck's mid-twentieth-century metaphor of a ``rising sea'' in his categorical approach to algebraic geometry. In addition to considering the technical development of various aspects of algebraic thought, the historians of modern algebra whose work is united in this volume explore such themes as the changing aims and organization of the subject as well as the often complex lines of mathematical communication within and across national boundaries. Among the specific algebraic ideas considered are the concept of divisibility and the introduction of non-commutative algebras into the study of number theory and the emergence of algebraic geometry in the twentieth century. The resulting volume is essential reading for anyone interested in the history of modern mathematics in general and modern algebra in particular. It will be of particular interest to mathematicians and historians of mathematics.
Author : Ian Stewart
Publisher : Courier Corporation
ISBN 13 : 0486134954
Total Pages : 368 pages
Book Rating : 4.4/5 (861 download)
Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Author : David Eugene Smith
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.A/5 ( download)
Download or read book History of Modern Mathematics written by David Eugene Smith and published by . This book was released on 1896 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carl B. Boyer
Publisher : John Wiley & Sons
ISBN 13 : 0470525487
Total Pages : 695 pages
Book Rating : 4.4/5 (75 download)
Download or read book A History of Mathematics written by Carl B. Boyer and published by John Wiley & Sons. This book was released on 2011-01-11 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Roger L. Cooke
Publisher : John Wiley & Sons
ISBN 13 : 1118030249
Total Pages : 630 pages
Book Rating : 4.1/5 (18 download)
Download or read book The History of Mathematics written by Roger L. Cooke and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.
Author : Philip Beeley
Publisher : Routledge
ISBN 13 : 1000207471
Total Pages : 370 pages
Book Rating : 4.0/5 (2 download)
Download or read book Reading Mathematics in Early Modern Europe written by Philip Beeley and published by Routledge. This book was released on 2020-10-20 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Libraries and archives contain many thousands of early modern mathematical books, of which almost equally many bear readers’ marks, ranging from deliberate annotations and accidental blots to corrections and underlinings. Such evidence provides us with the material and intellectual tools for exploring the nature of mathematical reading and the ways in which mathematics was disseminated and assimilated across different social milieus in the early centuries of print culture. Other evidence is important, too, as the case studies collected in the volume document. Scholarly correspondence can help us understand the motives and difficulties in producing new printed texts, library catalogues can illuminate collection practices, while manuscripts can teach us more about textual traditions. By defining and illuminating the distinctive world of early modern mathematical reading, the volume seeks to close the gap between the history of mathematics as a history of texts and history of mathematics as part of the broader history of human culture.
Author : Luke Hodgkin
Publisher : OUP Oxford
ISBN 13 : 0191664367
Total Pages : 296 pages
Book Rating : 4.1/5 (916 download)
Download or read book A History of Mathematics written by Luke Hodgkin and published by OUP Oxford. This book was released on 2013-02-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. Containing more than 100 illustrations and figures, this text, aimed at advanced undergraduates and postgraduates, addresses the methods and challenges associated with studying the history of mathematics. The reader is introduced to the leading figures in the history of mathematics (including Archimedes, Ptolemy, Qin Jiushao, al-Kashi, al-Khwarizmi, Galileo, Newton, Leibniz, Helmholtz, Hilbert, Alan Turing, and Andrew Wiles) and their fields. An extensive bibliography with cross-references to key texts will provide invaluable resource to students and exercises (with solutions) will stretch the more advanced reader.
