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Author : Henry Holmes Belfield
Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.F/5 ( download)
Download or read book The New Model Arithmetic written by Henry Holmes Belfield and published by . This book was released on 1891 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Kaye
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)
Download or read book Models of Peano Arithmetic written by Richard Kaye and published by . This book was released on 1991 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-standard models of arithmetic are of interest to mathematicians through the presence of infinite integers and the various properties they inherit from the finite integers. Since their introduction in the 1930s, they have come to play an important role in model theory, and in combinatorics through independence results such as the Paris-Harrington theorem. This book is an introduction to these developments, and stresses the interplay between the first-order theory, recursion-theoretic aspects, and the structural properties of these models. Prerequisites for an understanding of the text have been kept to a minimum, these being a basic grounding in elementary model theory and a familiarity with the notions of recursive, primitive recursive, and r.e. sets. Consequently, the book is suitable for postgraduate students coming to the subject for the first time, and a number of exercises of varying degrees of difficulty will help to further the reader's understanding.
Author : Henry Holmes Belfield
Publisher :
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.:/5 (312 download)
Download or read book The New Model Arithmetic written by Henry Holmes Belfield and published by . This book was released on 1892 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ali Enayat
Publisher : American Mathematical Soc.
ISBN 13 : 0821835351
Total Pages : 184 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonstandard Models of Arithmetic and Set Theory written by Ali Enayat and published by American Mathematical Soc.. This book was released on 2004 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the AMS special session on nonstandard models of arithmetic and set theory held at the Joint Mathematics Meetings in Baltimore (MD). The volume opens with an essay from Haim Gaifman that probes the concept of non-standardness in mathematics and provides a fascinating mix of historical and philosophical insights into the nature of nonstandard mathematical structures. In particular, Gaifman compares and contrasts the discovery of nonstandard models with other key mathematical innovations, such as the introduction of various number systems, the modern concept of function, and non-Euclidean geometries. Other articles in the book present results related to nonstandard models in arithmetic and set theory, including a survey of known results on the Turing upper bounds of arithmetic sets and functions. The volume is suitable for graduate students and research mathematicians interested in logic, especially model theory.
Author : Henry Holmes Belfield
Publisher : Forgotten Books
ISBN 13 : 9781333322007
Total Pages : 360 pages
Book Rating : 4.3/5 (22 download)
Download or read book The New Model Arithmetic (Classic Reprint) written by Henry Holmes Belfield and published by Forgotten Books. This book was released on 2016-08-23 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The New Model Arithmetic Fifteen million nine hundred four thousand sixty. Eighty billion ninety million forty thousand twenty. One hundred ten billion five million. Sixteen trillion thirty-two billion two hundred twenty nine million eight hundred thousand ten. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Henry H. Belfield (A.M., Ph.D.)
Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.:/5 (793 download)
Download or read book The New Model Arithmetic written by Henry H. Belfield (A.M., Ph.D.) and published by . This book was released on 1898 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christopher James Phillips
Publisher : University of Chicago Press
ISBN 13 : 022618496X
Total Pages : 242 pages
Book Rating : 4.2/5 (261 download)
Download or read book The New Math written by Christopher James Phillips and published by University of Chicago Press. This book was released on 2015 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: An era of sweeping cultural change in America, the postwar years saw the rise of beatniks and hippies, the birth of feminism, and the release of the first video game. This book examines the rise and fall of the new math as a marker of the period's political and social ferment.
Author : C. Berline
Publisher :
ISBN 13 : 9783662203590
Total Pages : 316 pages
Book Rating : 4.2/5 (35 download)
Download or read book Model Theory and Arithmetic written by C. Berline and published by . This book was released on 2014-01-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matthew Katz
Publisher : American Mathematical Soc.
ISBN 13 : 1470442906
Total Pages : 224 pages
Book Rating : 4.4/5 (74 download)
Download or read book An Introduction to Ramsey Theory written by Matthew Katz and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.”
Author :
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (319 download)
Download or read book The New Model Arithmetic for Commercial Colleges and Secondary Schools written by and published by . This book was released on 1915 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roman Kossak
Publisher : Clarendon Press
ISBN 13 : 0191524506
Total Pages : 328 pages
Book Rating : 4.1/5 (915 download)
Download or read book The Structure of Models of Peano Arithmetic written by Roman Kossak and published by Clarendon Press. This book was released on 2006-06-29 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students and research logicians and mathematicians, this much-awaited text covers over forty years of work on relative classification theory for non-standard models of arithmetic. With graded exercises at the end of each chapter, the book covers basic isomorphism invariants: families of types realized in a model, lattices of elementary substructures and automorphism groups. Many results involve applications of the powerful technique of minimal types due to Haim Gaifman, and some of the results are classical but have never been published in a book form before.
Author : Marc Peter Deisenroth
Publisher : Cambridge University Press
ISBN 13 : 1108569323
Total Pages : 392 pages
Book Rating : 4.1/5 (85 download)
Download or read book Mathematics for Machine Learning written by Marc Peter Deisenroth and published by Cambridge University Press. This book was released on 2020-04-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
Author : Hugh Magill
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (314 download)
Download or read book Browne & Nolan's New Model Arithmetic written by Hugh Magill and published by . This book was released on 1928 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henry Holmes Belfield
Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.:/5 (793 download)
Download or read book New Model Elementary Arithmetic written by Henry Holmes Belfield and published by . This book was released on 1891 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold M. Edwards
Publisher : American Mathematical Soc.
ISBN 13 : 9780821844397
Total Pages : 228 pages
Book Rating : 4.8/5 (443 download)
Download or read book Higher Arithmetic written by Harold M. Edwards and published by American Mathematical Soc.. This book was released on 2008 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the topics featured in this textbook are: congruences; the fundamental theorem of arithmetic; exponentiation and orders; primality testing; the RSA cipher system; polynomials; modules of hypernumbers; signatures of equivalence classes; and the theory of binary quadratic forms. The book contains exercises with answers.
Author : Ian Stewart
Publisher : Courier Corporation
ISBN 13 : 0486134954
Total Pages : 367 pages
Book Rating : 4.4/5 (861 download)
Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Author : Edward Nelson
Publisher : Princeton University Press
ISBN 13 : 1400858925
Total Pages : 199 pages
Book Rating : 4.4/5 (8 download)
Download or read book Predicative Arithmetic. (MN-32) written by Edward Nelson and published by Princeton University Press. This book was released on 2014-07-14 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops arithmetic without the induction principle, working in theories that are interpretable in Raphael Robinson's theory Q. Certain inductive formulas, the bounded ones, are interpretable in Q. A mathematically strong, but logically very weak, predicative arithmetic is constructed. Originally published in 1986. 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.
