Download or read book Non standard Analysis written by Abraham Robinson and published by Princeton University Press. This book was released on 2016-08-11 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.

Download or read book The Math Book written by Clifford A. Pickover and published by Union Square + ORM. This book was released on 2011-09-27 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

Download or read book Mathesis written by and published by . This book was released on 1882 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Studies in Logic and the Foundations of Mathematics written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies in Logic and the Foundations of Mathematics

Download or read book MVT A Most Valuable Theorem written by Craig Smorynski and published by Springer. This book was released on 2017-04-07 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the rise and supposed fall of the mean value theorem. It discusses the evolution of the theorem and the concepts behind it, how the theorem relates to other fundamental results in calculus, and modern re-evaluations of its role in the standard calculus course. The mean value theorem is one of the central results of calculus. It was called “the fundamental theorem of the differential calculus” because of its power to provide simple and rigorous proofs of basic results encountered in a first-year course in calculus. In mathematical terms, the book is a thorough treatment of this theorem and some related results in the field; in historical terms, it is not a history of calculus or mathematics, but a case study in both. MVT: A Most Valuable Theorem is aimed at those who teach calculus, especially those setting out to do so for the first time. It is also accessible to anyone who has finished the first semester of the standard course in the subject and will be of interest to undergraduate mathematics majors as well as graduate students. Unlike other books, the present monograph treats the mathematical and historical aspects in equal measure, providing detailed and rigorous proofs of the mathematical results and even including original source material presenting the flavour of the history.

Download or read book Reasoning with the Infinite written by Michel Blay and published by University of Chicago Press. This book was released on 1998 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until the Scientific Revolution, the nature and motions of heavenly objects were mysterious and unpredictable. The Scientific Revolution was revolutionary in part because it saw the advent of many mathematical tools—chief among them the calculus—that natural philosophers could use to explain and predict these cosmic motions. Michel Blay traces the origins of this mathematization of the world, from Galileo to Newton and Laplace, and considers the profound philosophical consequences of submitting the infinite to rational analysis. "One of Michael Blay's many fine achievements in Reasoning with the Infinite is to make us realize how velocity, and later instantaneous velocity, came to play a vital part in the development of a rigorous mathematical science of motion."—Margaret Wertheim, New Scientist

Download or read book Robert Hooke written by Michael Cooper and published by Ashgate Publishing, Ltd.. This book was released on 2006 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents a benchmark in the study of Robert Hooke (1635-1703), a genius whose wide-ranging achievements are at last receiving the recognition that they deserve. It brings together a comprehensive set of studies of different aspects of his life, thought and artistry, with sections on Hooke's life and reputation; his contributions to celestial mechanics and astronomy, and to speculative natural philosophy; the instruments that he designed; and his work in architecture and construction. The introduction places the studies in the context of our current understanding of Hooke and his milieu, while the book also contains a comprehensive bibliography.

Download or read book The History of the Priority Di pute between Newton and Leibniz written by Thomas Sonar and published by Birkhäuser. This book was released on 2018-04-12 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thrilling history of the famous priority dispute between Gottfried Wilhelm Leibniz and Isaac Newton, presenting the episode for the first time in the context of cultural history. It introduces readers to the background of the dispute, details its escalation, and discusses the aftermath of the big divide, which extended well into rThe Early Challengesnd the story is very intelligibly explained – an approach that offers general readers interested in the history of sciences and mathematics a window into the world of these two giants in their field. From the epilogue to the German edition by Eberhard Knobloch:Thomas Sonar has traced the emergence and the escalation of this conflict, which was heightened by Leibniz’s rejection of Newton’s gravitation theory, in a grandiose, excitingly written monograph. With absolute competence, he also explains the mathematical context so that non-mathematicians will also profit from the book. Quod erat demonstrandum!

Download or read book From the Calculus to Set Theory 1630 1910 written by I. Grattan-Guinness and published by Princeton University Press. This book was released on 2000-12-10 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Møller-Pedersen.

Download or read book The Encyclopaedia Britannica Har to Ita written by and published by . This book was released on 1910 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Catalogue of the Library of the Dean and Chapter of Cashel written by Cashel Diocesan Library and published by . This book was released on 1873 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Leibniz Publications on Natural Philosophy written by Arthur and published by Oxford University Press. This book was released on 2023-06-22 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume compiling English translations of Leibniz's journal articles on natural philosophy, presenting a selection of 26 articles, only three of which have appeared before in English translation. It also includes in full Leibniz's public controversies with De Catelan, Papin, and Hartsoeker. The articles include work in optics, on the fracture strength of materials, and on motion in a resisting medium, and Leibniz's pioneering applications of his calculus to these issues by construing them as mini-max and inverse tangent problems. Other topics covered by the articles include: criticisms of the Cartesian estimate of motive force and Leibniz's proposal of a different way of estimating force to replace it; a proposed theory of celestial motions and gravitation, and derivation of the inverse square law; challenge problems concerning the isochronous curve and the catenary; a sample of work on gaming theory; and Leibniz's critique of atomism.

Download or read book The Encyclop dia Britannica written by Hugh Chisholm and published by . This book was released on 1910 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Calculating Chance Card and Casino Games written by Sidney A. Morris and published by Springer Nature. This book was released on with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bookseller s catalogues written by Priestley and Weale and published by . This book was released on 1823 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bookseller s catalogues written by Richard Priestley and published by . This book was released on 1812 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The History of the Calculus and Its Conceptual Development written by Carl B. Boyer and published by Courier Corporation. This book was released on 2012-10-09 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.