Principles and Proofs - 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 Principles and Proofs write by Richard D. McKirahan Jr.. This book was released on 2017-03-14. Principles and Proofs available in PDF, EPUB and Kindle. By a thorough study of the Posterior Analytics and related Aristotelian texts, Richard McKirahan reconstructs Aristotle's theory of episteme--science. The Posterior Analytics contains the first extensive treatment of the nature and structure of science in the history of philosophy, and McKirahan's aim is to interpret it sympathetically, following the lead of the text, rather than imposing contemporary frameworks on it. In addition to treating the theory as a whole, the author uses textual and philological as well as philosophical material to interpret many important but difficult individual passages. A number of issues left obscure by the Aristotelian material are settled by reference to Euclid's geometrical practice in the Elements. To justify this use of Euclid, McKirahan makes a comparative analysis of fundamental features of Euclidian geometry with the corresponding elements of Aristotle's theory. Emerging from that discussion is a more precise and more complex picture of the relation between Aristotle's theory and Greek mathematics--a picture of mutual, rather than one-way, dependence. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Proofs from THE BOOK
Proofs from THE BOOK - 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 Proofs from THE BOOK write by Martin Aigner. This book was released on 2013-06-29. Proofs from THE BOOK available in PDF, EPUB and Kindle. According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Book of Proof
Book of Proof - 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 Book of Proof write by Richard H. Hammack. This book was released on 2016-01-01. Book of Proof available in PDF, EPUB and Kindle. This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
Conjecture and Proof
Conjecture and Proof - 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 Conjecture and Proof write by Miklos Laczkovich. This book was released on 2001-12-31. Conjecture and Proof available in PDF, EPUB and Kindle. The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on Conjecture and Proof. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of $e$, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.
Principia Mathematica
Principia Mathematica - 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 Principia Mathematica write by Alfred North Whitehead. This book was released on 1910. Principia Mathematica available in PDF, EPUB and Kindle.
