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Author : D. J. Struik
Publisher : Harvard University Press
ISBN 13 : 9780674823556
Total Pages : 452 pages
Book Rating : 4.8/5 (235 download)
Download or read book A Source Book in Mathematics, 1200-1800 written by D. J. Struik and published by Harvard University Press. This book was released on with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dirk Jan Struik
Publisher : Princeton University Press
ISBN 13 : 1400858003
Total Pages : 444 pages
Book Rating : 4.4/5 (8 download)
Download or read book A Source Book in Mathematics, 1200-1800 written by Dirk Jan Struik and published by Princeton University Press. This book was released on 2014-07-14 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: These selected mathematical writings cover the years when the foundations were laid for the theory of numbers, analytic geometry, and the calculus. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Dirk J. Struik
Publisher :
ISBN 13 : 9780317094497
Total Pages : 427 pages
Book Rating : 4.0/5 (944 download)
Download or read book A Source Book in Mathematics, 1200-1800 written by Dirk J. Struik and published by . This book was released on 1986 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Source Book in Mathematics written by and published by . This book was released on 1959 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Craig Smorynski
Publisher : Springer Science & Business Media
ISBN 13 : 0387754806
Total Pages : 273 pages
Book Rating : 4.3/5 (877 download)
Download or read book History of Mathematics written by Craig Smorynski and published by Springer Science & Business Media. This book was released on 2007-12-10 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : J.L. Berggren
Publisher : Springer
ISBN 13 : 1475742177
Total Pages : 812 pages
Book Rating : 4.4/5 (757 download)
Download or read book Pi: A Source Book written by J.L. Berggren and published by Springer. This book was released on 2014-01-13 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein fall into various classes. First and foremost there is a selection from the mathematical and computational literature of four millennia. There is also a variety of historical studies on the cultural significance of the number. Additionally, there is a selection of pieces that are anecdotal, fanciful, or simply amusing. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, and new translations of works by Viete and Huygen.
Author : Jonathan M. Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 1475732406
Total Pages : 754 pages
Book Rating : 4.4/5 (757 download)
Download or read book Pi: A Source Book written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our intention in this collection is to provide, largely through original writings, an ex tended account of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious, and sometimes the most whimsical aspects of mathematics. A surprising amount of the most important mathematics and a signifi cant number of the most important mathematicians have contributed to its unfolding directly or otherwise. Pi is one of the few mathematical concepts whose mention evokes a response of recog nition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty-five hundred years. The computation of pi is virtually the only topic from the most ancient stratum of mathematics that is still of serious interest to modern mathematical research. To pursue this topic as it developed throughout the millennia is to follow a thread through the history of mathematics that winds through geometry, analysis and special functions, numerical analysis, algebra, and number theory. It offers a subject that provides mathe maticians with examples of many current mathematical techniques as weIl as a palpable sense of their historical development. Why a Source Book? Few books serve wider potential audiences than does a source book. To our knowledge, there is at present no easy access to the bulk of the material we have collected.
Author : George Kish
Publisher : Harvard University Press
ISBN 13 : 9780674822702
Total Pages : 482 pages
Book Rating : 4.8/5 (227 download)
Download or read book A Source Book in Geography written by George Kish and published by Harvard University Press. This book was released on 1978 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents geographical writings, chronologically arranged, with a wealth of material from non-Western sources. Each section is introduced by the editor.
Author : Edward Grant
Publisher : Harvard University Press
ISBN 13 : 9780674823600
Total Pages : 890 pages
Book Rating : 4.8/5 (236 download)
Download or read book A Source Book in Medieval Science written by Edward Grant and published by Harvard University Press. This book was released on 1974 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Source Book explores a millennium of European scientific thought accompanied by critical commentary and annotation; nearly half the selections appear for the first time in the vernacular. Representing "science" in the medieval sense, selections include alchemy, astrology, logic, and theology as well as mathematics, physics, and biology.
Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 1400883202
Total Pages : 593 pages
Book Rating : 4.4/5 (8 download)
Download or read book Sourcebook in the Mathematics of Medieval Europe and North Africa written by Victor J. Katz and published by Princeton University Press. This book was released on 2016-10-18 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.
Author : Erwin Engeler
Publisher : Springer Science & Business Media
ISBN 13 : 3642780520
Total Pages : 105 pages
Book Rating : 4.6/5 (427 download)
Download or read book Foundations of Mathematics written by Erwin Engeler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book appeared about ten years ago in Gennan. It started as notes for a course which I gave intermittently at the ETH over a number of years. Following repeated suggestions, this English translation was commissioned by Springer; they were most fortunate in finding translators whose mathemati cal stature, grasp of the language and unselfish dedication to the essentially thankless task of rendering the text comprehensible in a second language, both impresses and shames me. Therefore, my thanks go to Dr. Roberto Minio, now Darmstadt and Professor Charles Thomas, Cambridge. The task of preparing a La'JEX-version of the text was extremely daunting, owing to the complexity and diversity of the symbolisms inherent in the various parts of the book. Here, my warm thanks go to Barbara Aquilino of the Mathematics Department of the ETH, who spent tedious but exacting hours in front of her Olivetti. The present book is not primarily intended to teach logic and axiomat ics as such, nor is it a complete survey of what was once called "elementary mathematics from a higher standpoint". Rather, its goal is to awaken a certain critical attitude in the student and to help give this attitude some solid foun dation. Our mathematics students, having been drilled for years in high-school and college, and having studied the immense edifice of analysis, regrettably come away convinced that they understand the concepts of real numbers, Euclidean space, and algorithm.
Author : Jacqueline Stedall
Publisher : OUP Oxford
ISBN 13 : 0191527718
Total Pages : 680 pages
Book Rating : 4.1/5 (915 download)
Download or read book Mathematics Emerging written by Jacqueline Stedall and published by OUP Oxford. This book was released on 2008-09-04 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at students and researchers in Mathematics, History of Mathematics and Science, this book examines the development of mathematics from the late 16th Century to the end of the 19th Century. Mathematics has an amazingly long and rich history, it has been practised in every society and culture, with written records reaching back in some cases as far as four thousand years. This book will focus on just a small part of the story, in a sense the most recent chapter of it: the mathematics of western Europe from the sixteenth to the nineteenth centuries. Each chapter will focus on a particular topic and outline its history with the provision of facsimiles of primary source material along with explanatory notes and modern interpretations. Almost every source is given in its original form, not just in the language in which it was first written, but as far as practicable in the layout and typeface in which it was read by contemporaries.This book is designed to provide mathematics undergraduates with some historical background to the material that is now taught universally to students in their final years at school and the first years at college or university: the core subjects of calculus, analysis, and abstract algebra, along with others such as mechanics, probability, and number theory. All of these evolved into their present form in a relatively limited area of western Europe from the mid sixteenth century onwards, and it is there that we find the major writings that relate in a recognizable way to contemporary mathematics.
Author : Garrett Birkhoff
Publisher :
ISBN 13 : 9780674822450
Total Pages : 470 pages
Book Rating : 4.8/5 (224 download)
Download or read book A Source Book in Classical Analysis written by Garrett Birkhoff and published by . This book was released on 1973 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of the developments in classical analysis during the nineteenth century is vital to a full appreciation of the history of twentieth-century mathematical thought. It was during the nineteenth century that the diverse mathematical formulae of the eighteenth century were systematized and the properties of functions of real and complex variables clearly distinguished; and it was then that the calculus matured into the rigorous discipline of today, becoming in the process a dominant influence on mathematics and mathematical physics. This Source Book, a sequel to D. J. Struik's Source Book in Mathematics, 1200-1800, draws together more than eighty selections from the writings of the most influential mathematicians of the period. Thirteen chapters, each with an introduction by the editor, highlight the major developments in mathematical thinking over the century. All material is in English, and great care has been taken to maintain a high standard of accuracy both in translation and in transcription. Of particular value to historians and philosophers of science, the Source Book should serve as a vital reference to anyone seeking to understand the roots of twentieth-century mathematical thought.
Author : Claus Michelsen
Publisher : Springer Nature
ISBN 13 : 3031105184
Total Pages : 560 pages
Book Rating : 4.0/5 (311 download)
Download or read book Mathematics and Its Connections to the Arts and Sciences (MACAS) written by Claus Michelsen and published by Springer Nature. This book was released on 2022-12-19 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates the 15th anniversary of the bi-annual symposium series Mathematics and its Connections to the Arts and Sciences (MACAS), which was first held in 2005 following the continued collaboration of an international group of researchers from ICME Topic Study Group 21. The MACAS-conferences bring together scientists and educators who are interested in the connection between mathematics, arts and science in educational curriculum, while emphasizing on, as well as researching about, the role of mathematics. By pooling together these different approaches and viewpoints between mathematics, arts and sciences, this book reveals possible synergies and paths for collaborations. In view of the challenges of the 21st century, a modern approach to education with a focus on multi- and interdisciplinarity is more important than ever. The role of mathematics assumes a key role in this approach as it is connected to all other disciplines, such as STEM education, physics, chemistry, biology, aesthetics and language, and can serve as a bridge between them. This book discusses, amongst others, the curricular approaches to integrate mathematics and other disciplines, the importance of mathematical modelling and the interdisciplinarity ways for learning and studying of mathematics, as well as the intercultural dimensions of mathematics and mathematics in the digital era. All topics will be presented from very different perspectives and regarding very different contexts, including digitization, culture and sustainability. This unique collection will serve as a very valuable and compact source for all above mentioned scientists and educators, as well as for use in advanced teacher education courses.
Author : Enrique A. González-Velasco
Publisher : Springer Science & Business Media
ISBN 13 : 0387921540
Total Pages : 479 pages
Book Rating : 4.3/5 (879 download)
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.
Author : Garrett Birkhoff
Publisher :
ISBN 13 : 9780783744483
Total Pages : 470 pages
Book Rating : 4.7/5 (444 download)
Download or read book A Source Book in Classical Analysis written by Garrett Birkhoff and published by . This book was released on 1973 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of the developments in classical analysis during the nineteenth century is vital to a full appreciation of the history of twentieth-century mathematical thought. It was during the nineteenth century that the diverse mathematical formulae of the eighteenth century were systematized and the properties of functions of real and complex variables clearly distinguished; and it was then that the calculus matured into the rigorous discipline of today, becoming in the process a dominant influence on mathematics and mathematical physics. This Source Book, a sequel to D. J. Struik's Source Book in Mathematics, 1200-1800, draws together more than eighty selections from the writings of the most influential mathematicians of the period. Thirteen chapters, each with an introduction by the editor, highlight the major developments in mathematical thinking over the century. All material is in English, and great care has been taken to maintain a high standard of accuracy both in translation and in transcription. Of particular value to historians and philosophers of science, the Source Book should serve as a vital reference to anyone seeking to understand the roots of twentieth-century mathematical thought.
Author : June Barrow-Green
Publisher : American Mathematical Society
ISBN 13 : 1470472996
Total Pages : 703 pages
Book Rating : 4.4/5 (74 download)
Download or read book The History of Mathematics: A Source-Based Approach, Volume 2 written by June Barrow-Green and published by American Mathematical Society. This book was released on 2022-12-23 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
