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Algebra In Ancient And Modern Times
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Book Synopsis Algebra in Ancient and Modern Times by : V. S. Varadarajan
Download or read book Algebra in Ancient and Modern Times written by V. S. Varadarajan and published by American Mathematical Soc.. This book was released on 1998 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author uses an historical approach to show the advancement of algebra from its ancient beginnings to its modern usage.
Book Synopsis Mathematical Thought from Ancient to Modern Times: Volume 1 by : Morris Kline
Download or read book Mathematical Thought from Ancient to Modern Times: Volume 1 written by Morris Kline and published by Oxford University Press. This book was released on 1990-08-16 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.
Book Synopsis Mathematical Thought from Ancient to Modern Times: Volume 2 by : Morris Kline
Download or read book Mathematical Thought from Ancient to Modern Times: Volume 2 written by Morris Kline and published by Oxford University Press. This book was released on 1990-08-16 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.
Book Synopsis An Introduction to the History of Algebra by : Jacques Sesiano
Download or read book An Introduction to the History of Algebra written by Jacques Sesiano and published by American Mathematical Soc.. This book was released on 2009 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a basic introduction to the types of problems that illustrate the earliest forms of algebra. This book presents some significant steps in solving equations and, wherever applicable, to link these developments to the extension of the number system. It analyzes various examples of problems, with their typical solution methods.
Book Synopsis Unknown Quantity by : John Derbyshire
Download or read book Unknown Quantity written by John Derbyshire and published by National Academies Press. This book was released on 2006-06-02 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prime Obsession taught us not to be afraid to put the math in a math book. Unknown Quantity heeds the lesson well. So grab your graphing calculators, slip out the slide rules, and buckle up! John Derbyshire is introducing us to algebra through the ages-and it promises to be just what his die-hard fans have been waiting for. "Here is the story of algebra." With this deceptively simple introduction, we begin our journey. Flanked by formulae, shadowed by roots and radicals, escorted by an expert who navigates unerringly on our behalf, we are guaranteed safe passage through even the most treacherous mathematical terrain. Our first encounter with algebraic arithmetic takes us back 38 centuries to the time of Abraham and Isaac, Jacob and Joseph, Ur and Haran, Sodom and Gomorrah. Moving deftly from Abel's proof to the higher levels of abstraction developed by Galois, we are eventually introduced to what algebraists have been focusing on during the last century. As we travel through the ages, it becomes apparent that the invention of algebra was more than the start of a specific discipline of mathematics-it was also the birth of a new way of thinking that clarified both basic numeric concepts as well as our perception of the world around us. Algebraists broke new ground when they discarded the simple search for solutions to equations and concentrated instead on abstract groups. This dramatic shift in thinking revolutionized mathematics. Written for those among us who are unencumbered by a fear of formulae, Unknown Quantity delivers on its promise to present a history of algebra. Astonishing in its bold presentation of the math and graced with narrative authority, our journey through the world of algebra is at once intellectually satisfying and pleasantly challenging.
Book Synopsis Mathematical Thought From Ancient to Modern Times: Volume 3 by : Morris Kline
Download or read book Mathematical Thought From Ancient to Modern Times: Volume 3 written by Morris Kline and published by Oxford University Press, USA. This book was released on 1990-03-01 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the nineteenth century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Gödel on recent mathematical study.
Book Synopsis Ancient and Modern Mathematics by : Dat Phung To
Download or read book Ancient and Modern Mathematics written by Dat Phung To and published by Trafford Publishing. This book was released on 2012-08 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover modern solutions to ancient mathematical problems with this engaging guide, written by a mathematics enthusiast originally from South Vietnam. Author Dat Phung To provides a theory that defines the partial permutations as the compositions of the permutations nPn=n!. To help you apply it, he looks back at the ancient mathematicians who solved challenging problems. Unlike people today, the scholars who lived in the ancient world didn?t have calculators and computers to help answer complicated questions. Even so, they still achieved great works, and their methods continue to hold relevance. In this textbook, you?ll find fourteen ancient problems along with their solutions. The problems are arranged from easiest to toughest, so you can focus on building your knowledge as you progress through the text. Fourteen Ancient Problems also explores partial permutations theory, a mathematical discovery that has many applications. It provides a specific and unique method to write down the whole expansion of nPn = n! into single permutations with n being a finite number. Take a thrilling journey throughout the ancient world, discover an important theory, and build upon your knowledge of mathematics with Fourteen Ancient Problems.
Book Synopsis Mathematics and Its History by : John Stillwell
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
Book Synopsis Mathematics in Ancient Iraq by : Eleanor Robson
Download or read book Mathematics in Ancient Iraq written by Eleanor Robson and published by Princeton University Press. This book was released on 2020-06-30 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining ancient mathematics within its broader social, political, economic, and religious contexts, and showing that mathematics was not just an abstract discipline for elites but a key component in ordering society and understanding the world. The region of modern-day Iraq is uniquely rich in evidence for ancient mathematics because its prehistoric inhabitants wrote on clay tablets, many hundreds of thousands of which have been archaeologically excavated, deciphered, and translated. Drawing from these and a wealth of other textual and archaeological evidence, Robson gives an extraordinarily detailed picture of how mathematical ideas and practices were conceived, used, and taught during this period. She challenges the prevailing view that they were merely the simplistic precursors of classical Greek mathematics, and explains how the prevailing view came to be. Robson reveals the true sophistication and beauty of ancient Middle Eastern mathematics as it evolved over three thousand years, from the earliest beginnings of recorded accounting to complex mathematical astronomy. Every chapter provides detailed information on sources, and the book includes an appendix on all mathematical cuneiform tablets published before 2007.
Book Synopsis Mathematical Thought from Ancient to Modern Times by : Morris Kline
Download or read book Mathematical Thought from Ancient to Modern Times written by Morris Kline and published by . This book was released on 1972 with total page 1268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.
Book Synopsis Mathematical Thought From Ancient to Modern Times by : Morris Kline
Download or read book Mathematical Thought From Ancient to Modern Times written by Morris Kline and published by OUP USA. This book was released on 1990-03 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.
Book Synopsis Mathematics in Ancient Egypt by : Annette Imhausen
Download or read book Mathematics in Ancient Egypt written by Annette Imhausen and published by Princeton University Press. This book was released on 2020-10-13 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of ancient Egyptian mathematics across three thousand years Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC—and the earliest hints of writing and number notation—to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative documents, and other sources, Annette Imhausen surveys three thousand years of Egyptian history to present an integrated picture of theoretical mathematics in relation to the daily practices of Egyptian life and social structures. Imhausen shows that from the earliest beginnings, pharaonic civilization used numerical techniques to efficiently control and use their material resources and labor. Even during the Old Kingdom, a variety of metrological systems had already been devised. By the Middle Kingdom, procedures had been established to teach mathematical techniques to scribes in order to make them proficient administrators for their king. Imhausen looks at counterparts to the notation of zero, suggests an explanation for the evolution of unit fractions, and analyzes concepts of arithmetic techniques. She draws connections and comparisons to Mesopotamian mathematics, examines which individuals in Egyptian society held mathematical knowledge, and considers which scribes were trained in mathematical ideas and why. Of interest to historians of mathematics, mathematicians, Egyptologists, and all those curious about Egyptian culture, Mathematics in Ancient Egypt sheds new light on a civilization's unique mathematical evolution.
Book Synopsis Taming the Unknown by : Victor J. Katz
Download or read book Taming the Unknown written by Victor J. Katz and published by Princeton University Press. This book was released on 2020-04-07 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is algebra? For some, it is an abstract language of x's and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen Parshall explore the history of algebra, from its roots in the ancient civilizations of Egypt, Mesopotamia, Greece, China, and India, through its development in the medieval Islamic world and medieval and early modern Europe, to its modern form in the early twentieth century. Defining algebra originally as a collection of techniques for determining unknowns, the authors trace the development of these techniques from geometric beginnings in ancient Egypt and Mesopotamia and classical Greece. They show how similar problems were tackled in Alexandrian Greece, in China, and in India, then look at how medieval Islamic scholars shifted to an algorithmic stage, which was further developed by medieval and early modern European mathematicians. With the introduction of a flexible and operative symbolism in the sixteenth and seventeenth centuries, algebra entered into a dynamic period characterized by the analytic geometry that could evaluate curves represented by equations in two variables, thereby solving problems in the physics of motion. This new symbolism freed mathematicians to study equations of degrees higher than two and three, ultimately leading to the present abstract era. Taming the Unknown follows algebra’s remarkable growth through different epochs around the globe.
Book Synopsis Mathematical Thought From Ancient to Modern Times, Volume 1 by : Morris Kline
Download or read book Mathematical Thought From Ancient to Modern Times, Volume 1 written by Morris Kline and published by Oxford University Press. This book was released on 1990-03-01 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.
Book Synopsis Episodes in the History of Modern Algebra (1800-1950) by : Jeremy J. Gray
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.
Book Synopsis Greek Mathematical Thought and the Origin of Algebra by : Jacob Klein
Download or read book Greek Mathematical Thought and the Origin of Algebra written by Jacob Klein and published by Courier Corporation. This book was released on 2013-04-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Book Synopsis Mathematics in Civilization by : H. L. Resnikoff
Download or read book Mathematics in Civilization written by H. L. Resnikoff and published by Ardent Media. This book was released on 1973 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: How mathematics shaped and was shaped by human events. Trigonometry, navigation, cartography, algebra, calculus and related disciplines from ancient Greece through the twentieth century. Bibliography. 203 figures. 7 tables. 14 photos.