Meta Math! - 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 Meta Math! write by Gregory Chaitin. This book was released on 2006-11-14. Meta Math! available in PDF, EPUB and Kindle. Gregory Chaitin, one of the world’s foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory. Chaitin’s revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what we can ultimately know about the universe and the very nature of life. In an infectious and enthusiastic narrative, Chaitin delineates the specific intellectual and intuitive steps he took toward the discovery. He takes us to the very frontiers of scientific thinking, and helps us to appreciate the art—and the sheer beauty—in the science of math.
Metamath: A Computer Language for Mathematical Proofs
Metamath: A Computer Language for Mathematical 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 Metamath: A Computer Language for Mathematical Proofs write by Norman Megill. This book was released on 2019. Metamath: A Computer Language for Mathematical Proofs available in PDF, EPUB and Kindle. Metamath is a computer language and an associated computer program for archiving, verifying, and studying mathematical proofs. The Metamath language is simple and robust, with an almost total absence of hard-wired syntax, and we believe that it provides about the simplest possible framework that allows essentially all of mathematics to be expressed with absolute rigor. While simple, it is also powerful; the Metamath Proof Explorer (MPE) database has over 23,000 proven theorems and is one of the top systems in the "Formalizing 100 Theorems" challenge. This book explains the Metamath language and program, with specific emphasis on the fundamentals of the MPE database.
Introduction to Metamathematics
Introduction to Metamathematics - 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 Introduction to Metamathematics write by Stephen Cole Kleene. This book was released on 2012-07-01. Introduction to Metamathematics available in PDF, EPUB and Kindle.
Non-Newtonian Calculus
Non-Newtonian 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 Non-Newtonian Calculus write by Michael Grossman. This book was released on 1972. Non-Newtonian Calculus available in PDF, EPUB and Kindle. The non-Newtonian calculi provide a wide variety of mathematical tools for use in science, engineering, and mathematics. They appear to have considerable potential for use as alternatives to the classical calculus of Newton and Leibniz. It may well be that these calculi can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.
An Introduction to Ramsey Theory
An Introduction to Ramsey Theory - 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 An Introduction to Ramsey Theory write by Matthew Katz. This book was released on 2018-10-03. An Introduction to Ramsey Theory available in PDF, EPUB and Kindle. This book takes the reader on a journey through Ramsey theory, from graph theory and combinatorics to set theory to logic and metamathematics. Written in an informal style with few requisites, it develops two basic principles of Ramsey theory: many combinatorial properties persist under partitions, but to witness this persistence, one has to start with very large objects. The interplay between those two principles not only produces beautiful theorems but also touches the very foundations of mathematics. In the course of this book, the reader will learn about both aspects. Among the topics explored are Ramsey's theorem for graphs and hypergraphs, van der Waerden's theorem on arithmetic progressions, infinite ordinals and cardinals, fast growing functions, logic and provability, Gödel incompleteness, and the Paris-Harrington theorem. Quoting from the book, “There seems to be a murky abyss lurking at the bottom of mathematics. While in many ways we cannot hope to reach solid ground, mathematicians have built impressive ladders that let us explore the depths of this abyss and marvel at the limits and at the power of mathematical reasoning at the same time. Ramsey theory is one of those ladders.”
