Calculus and Its Origins - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Calculus and Its Origins write by David Perkins. This book was released on 2012-04-12. Calculus and Its Origins available in PDF, EPUB and Kindle. The story of how calculus came to be, accessible to anyone with a basic knowledge of geometry and algebra.
Mathematics and Its History
Mathematics and Its History - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics and Its History write by John Stillwell. This book was released on 2020-11-07. Mathematics and Its History available in PDF, EPUB and Kindle. 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
The Origins of Infinitesimal Calculus
The Origins of Infinitesimal Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Origins of Infinitesimal Calculus write by Margaret E. Baron. This book was released on 2014-05-09. The Origins of Infinitesimal Calculus available in PDF, EPUB and Kindle. The Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms, influence of Aristotle, axiomatization of Greek mathematics, theory of proportion and means, method of exhaustion, discovery method of Archimedes, and curves, normals, tangents, and curvature. The manuscript then examines infinitesimals and indivisibles in the early 17th century and further advances in France and Italy. Topics include the link between differential and integral processes, concept of tangent, first investigations of the cycloid, and arithmetization of integration methods. The book reviews the infinitesimal methods in England and Low Countries and rectification of arcs. The publication is a vital source of information for historians, mathematicians, and researchers interested in infinitesimal calculus.
The History of the Calculus and Its Conceptual Development
The History of the Calculus and Its Conceptual Development - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The History of the Calculus and Its Conceptual Development write by Carl B. Boyer. This book was released on 2012-10-09. The History of the Calculus and Its Conceptual Development available in PDF, EPUB and Kindle. Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.
The Origins of Cauchy's Rigorous Calculus
The Origins of Cauchy's Rigorous Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Origins of Cauchy's Rigorous Calculus write by Judith V. Grabiner. This book was released on 2012-05-11. The Origins of Cauchy's Rigorous Calculus available in PDF, EPUB and Kindle. This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.
