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Which Numbers Are Real?

parts of mathematics. Which Numbers Are Real? Will be of interest to anyone with an interest in numbers, but specifically to upper-level;

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Mathematics

Mathematics is concerned with the study of abstract numbers as well as real quantities. It studies various sets of numbers such as natural;

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Number Systems

properties of the field of real numbers are established, together with some properties of real continuous functions. An elementary proof of the;

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Governing by Numbers

, which inserts itself into more and more aspects of our lives. This book critically addresses some of the ways in which numbers are deployed;

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Governing by Numbers

, which inserts itself into more and more aspects of our lives. This book critically addresses some of the ways in which numbers are deployed;

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The Story of Numbers

numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which;

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Diophantine Approximations

contain the sources from which the proofs are drawn.;

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Course in Analysis, a - Volume I

differential and integral calculus. Many examples are discussed. Proofs not depending on a deeper understanding of the completeness of the real numbers;

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Real Numbers

complaining that the numbers "lie"? This explosive issue and its implications are fully explored in "Real Numbers." Traditional "accountingese;

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Where Do Numbers Come From?

real numbers' as part of their training. But exactly what are those properties? And why can we assume them? This book is clearly and;

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Where Do Numbers Come From?

real numbers' as part of their training. But exactly what are those properties? And why can we assume them? This book is clearly and;

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The Real Numbers

While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study;

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The Philosophy of Mathematics and Natural Laws

concept is applied to the laws of nature, which are symmetrical. This is another Copernican Revolution in three aspects: absolute time is restored;

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The Philosophy of Mathematics and Natural Laws

concept is applied to the laws of nature, which are symmetrical. This is another Copernican Revolution in three aspects: absolute time is restored;

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Tiger That Isnt

being abused to play tricks - or create policies - which can waste millions of pounds. It is liberating to understand when numbers are telling;

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Distribution Theory of Algebraic Numbers

The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals;

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Quick Math & Physics Review to Prepare for College Physics

Complex numbers are rarely used in undergraduate Calculus as Calculus generally works with real numbers. Remember: if you have the;

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Real Operator Algebras

, real Banach algebras, real Banach algebras, real C -algebras and W -algebras, etc.), and some basic facts are given, one can get some results;

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Bernoulli Numbers and Zeta Functions

. Historically, Bernoulli numbers were introduced to give formulas for the sums of powers of consecutive integers. The real reason that they are;

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p-adic Numbers

There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a;

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p-adic Numbers

There are numbers of all kinds: rational, real, complex, p-adic. The p-adic numbers are less well known than the others, but they play a;

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From Christoffel Words to Markoff Numbers

certain quadratic forms and certain real numbers by extremal inequalities. Both classes are constructed using certain natural numbers - known as;

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London Mathematical Society Lecture Note Series

The surreal numbers form a system which includes both the ordinary real numbers and the ordinals. Since their introduction by J. H. Conway;

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Introduction To Analysis, An

creativity, answers to common questions, a new approach to the concept of equivalence relation which simplifies the construction of real numbers, and;

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The Classical Fields

The classical fields are the real, rational, complex and p-adic numbers. Each of these fields comprises several intimately interwoven;

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Introduction to Analysis in One Variable

This is a text for students who have had a three-course calculus sequence and who are ready to explore the logical structure of analysis as;

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Neutrices and External Numbers

of an extension of the nonstandard set of real numbers. Many illustrative examples are given. The book starts with detailed presentation of the;

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