Download or read book Contributions to the Founding of the Theory of Transfinite Numbers written by Georg Cantor and published by . This book was released on 1911 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Sets and Transfinite Numbers written by Brian Rotman and published by . This book was released on 1968 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Sets and Transfinite Numbers written by Martin M. Zuckerman and published by . This book was released on 1974 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numbers written by John Tabak and published by Infobase Publishing. This book was released on 2014-05-14 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a survey of the history and evolution of the use of numbers and numerical quantities by different civilizations around the world.
Download or read book The Britannica Guide to Numbers and Measurement written by William L. Hosch Associate Editor, Science and Technology and published by The Rosen Publishing Group, Inc. This book was released on 2010-08-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an overview of the development of numbers, their expression in mathematics and measurement, and profiles of the visionaries who saw order amidst the numbers.
Download or read book Numbers and Measurements written by Nicholas Faulkner and published by Encyclopaedia Britannica. This book was released on 2017-12-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume is perfect for students who are interested in higher-level study of numbers and measurements. The book delves into the history of mathematical reasoning and the progression of numerical thought. Readers will learn how our world is shaped by the number and measurement systems that have arisen over time. They will also engage in the history of the development of number and measurement systems and the biographies of some of the greatest mathematical minds throughout history. This is a perfect volume for anyone interested in higher-level math and the stories behind it.
Download or read book Basic Math and Pre Algebra For Dummies written by Mark Zegarelli and published by John Wiley & Sons. This book was released on 2007-09-24 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tips for simplifying tricky operations Get the skills you need to solve problems and equations and be ready for algebra class Whether you're a student preparing to take algebra or a parent who wants to brush up on basic math, this fun, friendly guide has the tools you need to get in gear. From positive, negative, and whole numbers to fractions, decimals, and percents, you'll build necessary skills to tackle more advanced topics, such as imaginary numbers, variables, and algebraic equations. * Understand fractions, decimals, and percents * Unravel algebra word problems * Grasp prime numbers, factors, and multiples * Work with graphs and measures * Solve single and multiple variable equations
Download or read book The Essence of Numbers written by Frédéric Patras and published by Springer Nature. This book was released on 2020-10-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers the manifold possible approaches, past and present, to our understanding of the natural numbers. They are treated as epistemic objects: mathematical objects that have been subject to epistemological inquiry and attention throughout their history and whose conception has evolved accordingly. Although they are the simplest and most common mathematical objects, as this book reveals, they have a very complex nature whose study illuminates subtle features of the functioning of our thought. Using jointly history, mathematics and philosophy to grasp the essence of numbers, the reader is led through their various interpretations, presenting the ways they have been involved in major theoretical projects from Thales onward. Some pertain primarily to philosophy (as in the works of Plato, Aristotle, Kant, Wittgenstein...), others to general mathematics (Euclid's Elements, Cartesian algebraic geometry, Cantorian infinities, set theory...). Also serving as an introduction to the works and thought of major mathematicians and philosophers, from Plato and Aristotle to Cantor, Dedekind, Frege, Husserl and Weyl, this book will be of interest to a wide variety of readers, from scholars with a general interest in the philosophy or mathematics to philosophers and mathematicians themselves.
Download or read book Understanding the Infinite written by Shaughan Lavine and published by Harvard University Press. This book was released on 2009-06-30 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible history and philosophical commentary on our notion of infinity. How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge. Praise for Understanding the Infinite “Understanding the Infinite is a remarkable blend of mathematics, modern history, philosophy, and logic, laced with refreshing doses of common sense. It is a potted history of, and a philosophical commentary on, the modern notion of infinity as formalized in axiomatic set theory . . . An amazingly readable [book] given the difficult subject matter. Most of all, it is an eminently sensible book. Anyone who wants to explore the deep issues surrounding the concept of infinity . . . will get a great deal of pleasure from it.” —Ian Stewart, New Scientist “How, in a finite world, does one obtain any knowledge about the infinite? Lavine argues that intuitions about the infinite derive from facts about the finite mathematics of indefinitely large size . . . The issues are delicate, but the writing is crisp and exciting, the arguments original. This book should interest readers whether philosophically, historically, or mathematically inclined, and large parts are within the grasp of the general reader. Highly recommended.” —D. V. Feldman, Choice
Download or read book Contributions to the foundling of the theory of transfinite numbers written by Georg Cantor and published by . This book was released on 1952 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book What Number Is God written by Sarah Voss and published by SUNY Press. This book was released on 1995-01-01 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses modern mathematical metaphors to better understand religion and philosophy.
Download or read book Noble Numbers Subtle Words written by Barbara Milberg Fisher and published by Fairleigh Dickinson Univ Press. This book was released on 1997 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study approaches the use of mathematics in fiction in an entirely new way, as a potent instrument of language. Following Wittgenstein's description of mathematical constructs as a component of ordinary language, Fisher shows how number, geometric figuration, algebraic coding, and transcendent abstractions have been made to function as practical narrative tools. Far from rehearsing the various paradigms of numerology, whether Pythagorean, Elizabethan, or Cabalistic, this book explores the tactical deployment of mathematical objects as shaping and framing agents. It reveals how mathematical objects may be subordinated to the storyteller's art.
Download or read book Chaos written by Richard Kautz and published by Oxford University Press. This book was released on 2011 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos: The Science of Predictable Random Motion bridges the gap between introductions for the layman and college-level texts with an account of chaos theory based on elementary mathematics. It develops the science of dynamics in terms of small time steps, describes the phenomenon of chaos through simple examples, and concludes with a close look at a homoclinic tangle, the mathematical monster at the heart of chaos. The presentation is enhanced by numerousfigures, animations of chaotic motion (available on a companion CD), and biographical sketches of the pioneers of dynamics and chaos theory.
Download or read book The Integrals of Lebesgue Denjoy Perron and Henstock written by Russell A. Gordon and published by American Mathematical Soc.. This book was released on 1994-01-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an elementary, self-contained presentation of the integration processes developed by Lebesgue, Denjoy, Perron, and Henstock. An excellent text for graduate students with a background in real analysis.
Download or read book The Riddle of the Infinite or Ananta written by Jayant Burde and published by Motilal Banarsidass. This book was released on 2019 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the bizarre but fascinating world of infinity in different disciplines of knowledge; mathematics, science, philosophy and religion. It projects the views of eastern as well as western scholars. This world is not only mysterious but also treacherous and conceals many conundrums such as a multitude of infinities, the mystic's experience of the infinite, conception of God as absolute infinity. The author also discusses many paradoxes relating to space and time. It is interesting to discover that some eastern philosophies try to reconcile two opposite concepts of sunya (zero) and Ananta (the infinite). The author also ventures to address a difficult question: Does infinity exist as a physical reality?
Download or read book The Provenance of Pure Reason written by William W. Tait and published by Oxford University Press, USA. This book was released on 2005 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description
Download or read book Georg Cantor written by Joseph Warren Dauben and published by Princeton University Press. This book was released on 2020-06-16 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly theological. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory. Later in his life, he was troubled by recurring attacks of severe depression. Dauben shows that these played an integral part in his understanding and defense of set theory.
