Greek Mathematical Thought and the Origin of Algebra

Greek Mathematical Thought and the Origin of Algebra

Author: Jacob Klein

Publisher: Courier Corporation

Published: 2013-04-22

Total Pages: 246

ISBN-13: 0486319814

DOWNLOAD EBOOK

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.


Mathematics in Western Culture

Mathematics in Western Culture

Author: Morris Kline

Publisher: Oxford University Press

Published: 1964-12-31

Total Pages: 513

ISBN-13: 0195345452

DOWNLOAD EBOOK

This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.


Mathematical Thought From Ancient to Modern Times, Volume 3

Mathematical Thought From Ancient to Modern Times, Volume 3

Author: Morris Kline

Publisher: Oxford University Press

Published: 1990-03-01

Total Pages: 439

ISBN-13: 0199770484

DOWNLOAD EBOOK

This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines 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 19th 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 Godel on recent mathematical study.


Mathematics and Its History

Mathematics and Its History

Author: John Stillwell

Publisher: Springer Nature

Published: 2020-11-07

Total Pages: 400

ISBN-13: 3030551938

DOWNLOAD EBOOK

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


Mathematics and the Physical World

Mathematics and the Physical World

Author: Morris Kline

Publisher: Courier Corporation

Published: 2012-03-15

Total Pages: 514

ISBN-13: 0486136310

DOWNLOAD EBOOK

Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.


Mathematical Thought From Ancient to Modern Times

Mathematical Thought From Ancient to Modern Times

Author: Morris Kline

Publisher: Oxford University Press

Published: 1990-03-01

Total Pages: 432

ISBN-13: 9780199840410

DOWNLOAD EBOOK

This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians 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 19th 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 Godel on recent mathematical study.


The Constitution of Algorithms

The Constitution of Algorithms

Author: Florian Jaton

Publisher: MIT Press

Published: 2021-04-27

Total Pages: 401

ISBN-13: 0262362333

DOWNLOAD EBOOK

A laboratory study that investigates how algorithms come into existence. Algorithms--often associated with the terms big data, machine learning, or artificial intelligence--underlie the technologies we use every day, and disputes over the consequences, actual or potential, of new algorithms arise regularly. In this book, Florian Jaton offers a new way to study computerized methods, providing an account of where algorithms come from and how they are constituted, investigating the practical activities by which algorithms are progressively assembled rather than what they may suggest or require once they are assembled.


School Mathematics Textbooks In China: Comparative Studies And Beyond

School Mathematics Textbooks In China: Comparative Studies And Beyond

Author: Jianpan Wang

Publisher: World Scientific

Published: 2021-01-28

Total Pages: 593

ISBN-13: 9814713961

DOWNLOAD EBOOK

Our collected work contains mathematics education research papers. Comparative studies of school textbooks cover content selection, compilation style, representation method, design of examples and exercises, mathematics investigation, the use of information technology, and composite difficulty level, to name a few. Other papers included are about representation of basic mathematical thought in school textbooks, a study on the compilation features of elementary school textbooks, and a survey of the effect of using new elementary school textbooks.