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Which Numbers Are Real?

Everyone knows the real numbers, those fundamental quantities that make possible all of mathematics from high school algebra and Euclidean;

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Where Do Numbers Come From?

Why do we need the real numbers? How should we construct them? These questions arose in the nineteenth century, along with the ideas and;

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Where Do Numbers Come From?

Why do we need the real numbers? How should we construct them? These questions arose in the nineteenth century, along with the ideas and;

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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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Real Operator Algebras

natural and interesting problem: How is the theory in the field of real numbers? Up to now, the theory of operator algebras over the field of real;

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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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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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An Introduction to Real Analysis

An Introduction to Real Analysis covers some basic results pertaining to the set of real numbers. It is a foundational course for beginners;

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Calculus with Complex Numbers

This practical treatment explains the applications complex calculus without requiring the rigor of a real analysis background. The author;

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Calculus with Complex Numbers

This practical treatment explains the applications complex calculus without requiring the rigor of a real analysis background. The author;

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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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The Real Numbers and Real Analysis

This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written;

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The Real Numbers and Real Analysis

This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written;

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Introduction to Analysis in One Variable

the backbone of calculus. It begins with a development of the real numbers, building this system from more basic objects (natural numbers;

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Diophantine Approximations

results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real;

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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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Distribution Theory of Algebraic Numbers

with the approximation of real numbers by rational numbers. The book is appended with a list of challenging open problems and a comprehensive;

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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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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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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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On Numbers and Games

of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These;

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The Story of Numbers

'... this could make an ideal end-of-year prize for a high-school student who is fascinated by all aspects of number. The subsections;

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Introduction To Analysis, An

integral with the more general Lebesgue integral; and rigorously develops the real number system from four simple axioms of natural numbers;

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Algebra and Number Theory

This two-volume set collects and presents some fundamentals of mathematics in an entertaining and performing manner. The present volume;

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The Invention of Numbers

- as they can be perfect or irrational, amicable or prime, real or imaginary. From zero to infinity, learn about the way numbers have shaped;

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Course in Analysis, a - Volume I

Part 1 begins with an overview of properties of the real numbers and starts to introduce the notions of set theory. The absolute value and;

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