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The Real Numbers

of the real number system and the issues it brings to light. Analysis needs the real numbers to model the line, and to support the concepts;

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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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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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Advanced Calculus, An Introduction To Mathematical Analysis

to the construction of rational and then of real numbers, using the method of equivalence classes and of Cauchy sequences. The text includes;

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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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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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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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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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An Introduction to Proof through Real Analysis

incorporating elements of both real analysis and algebraic representation * Written in an engaging narrative style to tell the story of proof and;

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Statistics for Political Analysis: Understanding the Numbers

This book focuses on the statistical tools most often used by political scientists and uses political examples, cases, and data throughout;

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Introduction To Analysis, An

in mathematical analysis, calculus and mathematical proofing. It introduces natural numbers through a new mathematical approach; replaces the Riemann;

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Real Analysis - with an Introduction to Wavelet Theory

theory of the Fourier transform and Fourier series; and, wavelet theory. Features of this title include the core subjects of real analysis and;

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Mathematical Analysis

outline of the essential properties of rational numbers using Dedekind's cut, and the properties of real numbers are established. This foundation;

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Neutrices and External Numbers

Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with;

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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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Introduction to Real Analysis

Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the;

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Was Sind und was Sollen die Zahlen?

statements of rigorous analysis. It became clear that all analysis could be deduced from the properties of the real numbers. But what are the real;

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Introduction to Real Analysis

An accessible introduction to real analysis and its connection to elementary calculus Bridging the gap between the development and history;

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A Basic Course in Real Analysis

Based on the authors' combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects;

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Lectures On Real Analysis

This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a;

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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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The Real Analysis Lifesaver

also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students;

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The Real Analysis Lifesaver

also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students;

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Intermediate Mathematical Analysis

.An introductory section by the author reviews the roles of sets, relations, and functions. Subsequent chapters explore real numbers, the;

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