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Author : Thomas L. Heath
Publisher : CUP Archive
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4./5 ( download)
Download or read book Diophantus of Alexandria written by Thomas L. Heath and published by CUP Archive. This book was released on 1910 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Isabella Grigoryevna Bashmakova
Publisher : American Mathematical Soc.
ISBN 13 : 1470450496
Total Pages : 106 pages
Book Rating : 4.4/5 (74 download)
Download or read book Diophantus and Diophantine Equations written by Isabella Grigoryevna Bashmakova and published by American Mathematical Soc.. This book was released on 2019-01-29 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus--a person whose very existence has long been doubted by most historians of mathematics--will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the.
Author : Jacques Sesiano
Publisher : Springer Science & Business Media
ISBN 13 : 1461381746
Total Pages : 507 pages
Book Rating : 4.4/5 (613 download)
Download or read book Books IV to VII of Diophantus’ Arithmetica written by Jacques Sesiano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition of Books IV to VII of Diophantus' Arithmetica, which are extant only in a recently discovered Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown University Department of the History of Mathematics in May 1975. Early in 1973, my thesis adviser, Gerald Toomer, learned of the existence of this manuscript in A. Gulchln-i Macanl's just-published catalogue of the mathematical manuscripts in the Mashhad Shrine Library, and secured a photographic copy of it. In Sep tember 1973, he proposed that the study of it be the subject of my dissertation. Since limitations of time compelled us to decide on priorities, the first objective was to establish a critical text and to translate it. For this reason, the Arabic text and the English translation appear here virtually as they did in my thesis. Major changes, however, are found in the mathematical com mentary and, even more so, in the Arabic index. The discussion of Greek and Arabic interpolations is entirely new, as is the reconstruction of the history of the Arithmetica from Diophantine to Arabic times. It is with the deepest gratitude that I acknowledge my great debt to Gerald Toomer for his constant encouragement and invaluable assistance.
Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817645497
Total Pages : 350 pages
Book Rating : 4.8/5 (176 download)
Download or read book An Introduction to Diophantine Equations written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2010-09-02 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.
Author : Daniel Coray
Publisher : Springer Nature
ISBN 13 : 3030437817
Total Pages : 186 pages
Book Rating : 4.0/5 (34 download)
Download or read book Notes on Geometry and Arithmetic written by Daniel Coray and published by Springer Nature. This book was released on 2020-07-06 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English translation of Daniel Coray’s original French textbook Notes de géométrie et d’arithmétique introduces students to Diophantine geometry. It engages the reader with concrete and interesting problems using the language of classical geometry, setting aside all but the most essential ideas from algebraic geometry and commutative algebra. Readers are invited to discover rational points on varieties through an appealing ‘hands on’ approach that offers a pathway toward active research in arithmetic geometry. Along the way, the reader encounters the state of the art on solving certain classes of polynomial equations with beautiful geometric realizations, and travels a unique ascent towards variations on the Hasse Principle. Highlighting the importance of Diophantus of Alexandria as a precursor to the study of arithmetic over the rational numbers, this textbook introduces basic notions with an emphasis on Hilbert’s Nullstellensatz over an arbitrary field. A digression on Euclidian rings is followed by a thorough study of the arithmetic theory of cubic surfaces. Subsequent chapters are devoted to p-adic fields, the Hasse principle, and the subtle notion of Diophantine dimension of fields. All chapters contain exercises, with hints or complete solutions. Notes on Geometry and Arithmetic will appeal to a wide readership, ranging from graduate students through to researchers. Assuming only a basic background in abstract algebra and number theory, the text uses Diophantine questions to motivate readers seeking an accessible pathway into arithmetic geometry.
Author : Serafina Cuomo
Publisher : Routledge
ISBN 13 : 1134710186
Total Pages : 519 pages
Book Rating : 4.1/5 (347 download)
Download or read book Ancient Mathematics written by Serafina Cuomo and published by Routledge. This book was released on 2005-08-19 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theorem of Pythagoras, Euclid's "Elements", Archimedes' method to find the volume of a sphere: all parts of the invaluable legacy of ancient mathematics. But ancient mathematics was also about counting and measuring, surveying land and attributing mystical significance to the number six. This volume offers the first accessible survey of the discipline in all its variety and diversity of practices. The period covered ranges from the fifth century BC to the sixth century AD, with the focus on the Mediterranean region. Topics include: * mathematics and politics in classical Greece * the formation of mathematical traditions * the self-image of mathematicians in the Graeco-Roman period * mathematics and Christianity * and the use of the mathematical past in late antiquity.
Author : Jacques Ozanam
Publisher :
ISBN 13 :
Total Pages : 850 pages
Book Rating : 4.R/5 (5 download)
Download or read book Recreations in mathematics and natural philosophy, recomposed by m. Montucla and tr. by C. Hutton written by Jacques Ozanam and published by . This book was released on 1840 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marlow Anderson
Publisher : American Mathematical Society
ISBN 13 : 1470470039
Total Pages : 399 pages
Book Rating : 4.4/5 (74 download)
Download or read book Sherlock Holmes in Babylon and Other Tales of Mathematical History written by Marlow Anderson and published by American Mathematical Society. This book was released on 2022-04-26 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.
Author : Rebecca Buxton
Publisher : Unbound Publishing
ISBN 13 : 178352829X
Total Pages : 203 pages
Book Rating : 4.7/5 (835 download)
Download or read book The Philosopher Queens written by Rebecca Buxton and published by Unbound Publishing. This book was released on 2020-09-17 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This is brilliant. A book about women in philosophy by women in philosophy – love it!' Elif Shafak Where are the women philosophers? The answer is right here. The history of philosophy has not done women justice: you’ve probably heard the names Plato, Kant, Nietzsche and Locke – but what about Hypatia, Arendt, Oluwole and Young? The Philosopher Queens is a long-awaited book about the lives and works of women in philosophy by women in philosophy. This collection brings to centre stage twenty prominent women whose ideas have had a profound – but for the most part uncredited – impact on the world. You’ll learn about Ban Zhao, the first woman historian in ancient Chinese history; Angela Davis, perhaps the most iconic symbol of the American Black Power Movement; Azizah Y. al-Hibri, known for examining the intersection of Islamic law and gender equality; and many more. For anyone who has wondered where the women philosophers are, or anyone curious about the history of ideas – it's time to meet the philosopher queens.
Author : Thomas Little Heath
Publisher : Dalcassian Publishing Company
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4./5 ( download)
Download or read book A history of Greek mathematics written by Thomas Little Heath and published by Dalcassian Publishing Company. This book was released on 1921-01-01 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. O. Gelfond
Publisher : Courier Dover Publications
ISBN 13 : 0486802256
Total Pages : 212 pages
Book Rating : 4.4/5 (868 download)
Download or read book Transcendental and Algebraic Numbers written by A. O. Gelfond and published by Courier Dover Publications. This book was released on 2015-01-05 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily an advanced study of the modern theory of transcendental and algebraic numbers, this treatment by a distinguished Soviet mathematician focuses on the theory's fundamental methods. The text also chronicles the historical development of the theory's methods and explores the connections with other problems in number theory. The problem of approximating algebraic numbers is also studied as a case in the theory of transcendental numbers. Topics include the Thue-Siegel theorem, the Hermite-Lindemann theorem on the transcendency of the exponential function, and the work of C. Siegel on the transcendency of the Bessel functions and of the solutions of other differential equations. The final chapter considers the Gelfond-Schneider theorem on the transcendency of alpha to the power beta. Each proof is prefaced by a brief discussion of its scheme, which provides a helpful guide to understanding the proof's progression.
Author : Michael Deakin
Publisher : Prometheus Books
ISBN 13 : 161592129X
Total Pages : 231 pages
Book Rating : 4.6/5 (159 download)
Download or read book Hypatia of Alexandria written by Michael Deakin and published by Prometheus Books. This book was released on 2010-09-30 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first biography of Hypatia of Alexandria to integrate all aspects of her life emphasizing that, though she was a philosopher, she was first and foremost a mathematician and astronomer of great accomplishment.
Author : Ian Stewart
Publisher : CRC Press
ISBN 13 : 143986408X
Total Pages : 334 pages
Book Rating : 4.4/5 (398 download)
Download or read book Algebraic Number Theory and Fermat's Last Theorem written by Ian Stewart and published by CRC Press. This book was released on 2001-12-12 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it
Author : Simon Singh
Publisher : A&C Black
ISBN 13 : 1408835304
Total Pages : 266 pages
Book Rating : 4.4/5 (88 download)
Download or read book The Simpsons and Their Mathematical Secrets written by Simon Singh and published by A&C Black. This book was released on 2013-01-01 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: From bestselling author of Fermat's Last Theorem, a must-have for number lovers and Simpsons fans
Author : Denise Gaskins
Publisher : Tabletop Academy Press
ISBN 13 : 1892083248
Total Pages : 288 pages
Book Rating : 4.8/5 (92 download)
Download or read book Let's Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carl Friedrich Gauss
Publisher : Springer
ISBN 13 : 1493975609
Total Pages : 491 pages
Book Rating : 4.4/5 (939 download)
Download or read book Disquisitiones Arithmeticae written by Carl Friedrich Gauss and published by Springer. This book was released on 2018-02-07 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. .
Author : Leonhard Euler
Publisher :
ISBN 13 :
Total Pages : 960 pages
Book Rating : 4.:/5 (318 download)
Download or read book Elements of Algebra written by Leonhard Euler and published by . This book was released on 1810 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:
