Download or read book The Elements of a New Arithmetical Notation and of a New Arithmetic of Infinities With an Appendix Concerning Some Properties of Perfect Amicable and Other Numbers No Less Remarkable Than Novel written by Thomas Taylor and published by . This book was released on 1823 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Notes and Queries and Historic Magazine written by and published by . This book was released on 1898 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Grand Man written by and published by . This book was released on 1898 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Brief Notice of Mr Thomas Taylor the Celebrated Platonist written by James Jacob Welsh and published by . This book was released on 1831 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Thomas Taylor written by Newberry Library and published by . This book was released on 1917 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Bibliographer s Manual of English Literature written by William Thomas Lowndes and published by . This book was released on 1869 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Bibliographer s Manual of English Literature Containing an Account of Rare Curious and Useful Books Published in Or Relating to Great Britain and Ireland from the Invention of Printing and the Prices at which They Have Been Sold in the Present Century written by William Thomas Lowndes and published by . This book was released on 1865 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Bibliographer s Manual of English Literature Containing an Account of Rare Curious and Useful Books Published in Or Relating to Great Britain and Ireland from the Invention of Printing written by William Thomas Lowndes and published by . This book was released on 1889 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The bibliographer s manual of English literature containing an account of rare curious and useful books publ in or relating to Great Britain and Ireland written by William Thomas Lowndes and published by . This book was released on 1863 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Bibliographer s Manual of English Literature written by William Thomas Lowndes and published by . This book was released on 1857 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Bibliographer s Manual of English Literature Containing an Account of Rare Curious and Useful Books Published in Or Relating to Great Britain and Ireland from the Invention of Printing written by William Thomas Lowndes and published by . This book was released on 1967 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Bibliographer s Manual of English Literature Containing an Account of Rare Curious and Useful Books written by William Thomas Lowndes and published by . This book was released on 1967 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book R Z written by William Thomas Lowndes and published by . This book was released on 1834 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Infinity and the Mind written by Rudy Rucker and published by Bantam Books. This book was released on 1983-01-01 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains popular expositions (accessible to readers with no more than a high school mathematics background) on the mathematical theory of infinity, and a number of related topics. These include G?del's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt G?del.An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity."

Download or read book Journey Through Genius written by William Dunham and published by Penguin Books. This book was released on 1991-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov

Download or read book An Introduction to G del s Theorems written by Peter Smith and published by Cambridge University Press. This book was released on 2007-07-26 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing (and most misunderstood) in logic. Gödel also outlined an equally significant Second Incompleteness Theorem. How are these Theorems established, and why do they matter? Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, showing how to prove the Second Theorem, and exploring a family of related results (including some not easily available elsewhere). The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book will be accessible to philosophy students with a limited formal background. It is equally suitable for mathematics students taking a first course in mathematical logic.

Download or read book A Course in Mathematical Logic for Mathematicians written by Yu. I. Manin and published by Springer Science & Business Media. This book was released on 2009-10-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic: (i) Model theory has shown that insights acquired in the study of formal languages could be used fruitfully in solving old problems of conventional mathematics. (ii) Mathematics has been and is moving with growing acceleration from the set-theoretic language of structures to the language and intuition of (higher) categories, leaving behind old concerns about in?nities: a new view of foundations is now emerging. (iii) Computer science, a no-nonsense child of the abstract computability theory, has been creatively dealing with old challenges and providing new ones, such as the P/NP problem. Planning additional chapters for this second edition, I have decided to focus onmodeltheory,the conspicuousabsenceofwhichinthe ?rsteditionwasnoted in several reviews, and the theory of computation, including its categorical and quantum aspects. The whole Part IV: Model Theory, is new. I am very grateful to Boris I. Zilber, who kindly agreed to write it. It may be read directly after Chapter II. The contents of the ?rst edition are basically reproduced here as Chapters I–VIII. Section IV.7, on the cardinality of the continuum, is completed by Section IV.7.3, discussing H. Woodin’s discovery.