The Theory Of Cardinal And Ordinal Numbers
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The Theory Of Cardinal And Ordinal Numbers
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Author : Frederic Grant Peterson
language : en
Publisher:
Release Date : 1966
The Theory Of Cardinal And Ordinal Numbers written by Frederic Grant Peterson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Number theory categories.
The Theory Of Transfinite Cardinal And Ordinal Numbers
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Author : Anne Spivack
language : en
Publisher:
Release Date : 1929
The Theory Of Transfinite Cardinal And Ordinal Numbers written by Anne Spivack and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1929 with categories.
Numbers Sets And Axioms
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Author : A. G. Hamilton
language : en
Publisher: Cambridge University Press
Release Date : 1982
Numbers Sets And Axioms written by A. G. Hamilton and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.
Contributions To The Founding Of The Theory Of Transfinite Numbers
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Author : Georg Cantor
language : en
Publisher:
Release Date : 1952
Contributions To The Founding Of The Theory Of Transfinite Numbers written by Georg Cantor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Set theory categories.
Contributions To The Founding Of The Theory Of Transfinite Numbers
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Author : George Cantor
language : en
Publisher: Cosimo, Inc.
Release Date : 2007-05-01
Contributions To The Founding Of The Theory Of Transfinite Numbers written by George Cantor and has been published by Cosimo, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-01 with Cooking categories.
"In it, Jourdain outlines the contributions of many of Cantor?'s forerunners including Fourier, Dirichlet, Cauchy, Weierstrass, Riemann, Dedekind, and Hankel and then further contextualizes Cantor?'s groundbreaking theory by recounting and examining his earlier work. In this volume, Cantor addresses: the addition and multiplication of powers the exponentiation of powers the finite cardinal numbers the smallest transfinite cardinal number aleph-zero addition and multiplication of ordinal types well-ordered aggregates the ordinal numbers of well-ordered aggregates and much more.German mathematician GEORG CANTOR (1845-1918) is best remembered for formulating set theory. His work was considered controversial at the time, but today he is widely recognized for his important contributions to the field of mathematics."
Introduction To Cardinal Arithmetic
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Author : Michael Holz
language : en
Publisher: Birkhäuser
Release Date : 2010-04-06
Introduction To Cardinal Arithmetic written by Michael Holz and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-06 with Mathematics categories.
This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which is contained in Chapter 1, describes the classical cardinal arithmetic due to Bernstein, Cantor, Hausdorff, Konig, and Tarski. The results were found in the years between 1870 and 1930. Part two, which is Chapter 2, characterizes the development of cardinal arith metic in the seventies, which was led by Galvin, Hajnal, and Silver. The third part, contained in Chapters 3 to 9, presents the fundamental investigations in pcf-theory which has been developed by S. Shelah to answer the questions left open in the seventies. All theorems presented in Chapter 3 and Chapters 5 to 9 are due to Shelah, unless otherwise stated. We are greatly indebted to all those set theorists whose work we have tried to expound. Concerning the literature we owe very much to S. Shelah's book [Sh5] and to the article by M. R. Burke and M. Magidor [BM] which also initiated our students' interest for Shelah's pcf-theory.
Theory Of Sets
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Author : Erich Kamke
language : en
Publisher: Courier Corporation
Release Date : 1950-01-01
Theory Of Sets written by Erich Kamke and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950-01-01 with Mathematics categories.
Introductory treatment emphasizes fundamentals, covering rudiments; arbitrary sets and their cardinal numbers; ordered sets and their ordered types; and well-ordered sets and their ordinal numbers. "Exceptionally well written." ? School Science and Mathematics.
Cardinal And Ordinal Numbers
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Author : Waclaw Sierpinski
language : en
Publisher:
Release Date : 1958
Cardinal And Ordinal Numbers written by Waclaw Sierpinski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Cardinal Numbers categories.
Problems And Theorems In Classical Set Theory
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Author : Peter Komjath
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-02
Problems And Theorems In Classical Set Theory written by Peter Komjath and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-02 with Mathematics categories.
This volume contains a variety of problems from classical set theory and represents the first comprehensive collection of such problems. Many of these problems are also related to other fields of mathematics, including algebra, combinatorics, topology and real analysis. Rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. They vary in difficulty, and are organized in such a way that earlier problems help in the solution of later ones. For many of the problems, the authors also trace the history of the problems and then provide proper reference at the end of the solution.
Cardinal And Ordinal Numbers
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Author : Nirad Chandra Chaudhuri
language : en
Publisher:
Release Date : 1965
Cardinal And Ordinal Numbers written by Nirad Chandra Chaudhuri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.