Algebra In Ancient And Modern Times

Author : V. S. Varadarajan
Publisher : American Mathematical Soc.
ISBN 13 : 9780821809891
Total Pages : 164 pages
Book Rating : 4.9X/5 ( download)

DOWNLOAD NOW!

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.

Author : Morris Kline
Publisher : Oxford University Press
ISBN 13 : 9780195061352
Total Pages : 434 pages
Book Rating : 4.57/5 ( download)

DOWNLOAD NOW!

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.

Author : Jacques Sesiano
Publisher : American Mathematical Soc.
ISBN 13 : 0821844733
Total Pages : 187 pages
Book Rating : 4.31/5 ( download)

DOWNLOAD NOW!

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.

Author : Morris Kline
Publisher : Oxford University Press
ISBN 13 : 9780195061369
Total Pages : 468 pages
Book Rating : 4.65/5 ( download)

DOWNLOAD NOW!

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.

Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 0691204071
Total Pages : 502 pages
Book Rating : 4.79/5 ( download)

DOWNLOAD NOW!

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.

Author : DAT PHUNG TO
Publisher : Trafford Publishing
ISBN 13 : 1466900954
Total Pages : 235 pages
Book Rating : 4.50/5 ( download)

DOWNLOAD NOW!

Download or read book Ancient and Modern Mathematics written by DAT PHUNG TO and published by Trafford Publishing. This book was released on 2012-08-27 with total page 235 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 didnt 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, youll 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.

Author : Morris Kline
Publisher : Oxford University Press, USA
ISBN 13 : 0195061373
Total Pages : 448 pages
Book Rating : 4.76/5 ( download)

DOWNLOAD NOW!

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.

Author : John Derbyshire
Publisher : National Academies Press
ISBN 13 : 030909657X
Total Pages : 391 pages
Book Rating : 4.77/5 ( download)

DOWNLOAD NOW!

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.

Author : John Stillwell
Publisher : Springer Nature
ISBN 13 : 3030551938
Total Pages : 400 pages
Book Rating : 4.33/5 ( download)

DOWNLOAD NOW!

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 : Morris Kline
Publisher : OUP USA
ISBN 13 : 9780195061376
Total Pages : 452 pages
Book Rating : 4.73/5 ( download)

DOWNLOAD NOW!

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.