The Structure of the Real Number System

The Structure of the Real Number System PDF Author: Leon Warren Cohen
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 136

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The Structure of the Real Number System

The Structure of the Real Number System PDF Author: Leon Warren Cohen
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 136

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Book Description


The Structure of the Real Number System

The Structure of the Real Number System PDF Author: Leon Warren COHEN (and EHRLICH (Gertrude))
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 116

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The Structure of Number Systems

The Structure of Number Systems PDF Author: Francis D. Parker
Publisher:
ISBN:
Category : Number theory
Languages : en
Pages : 160

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Book Description


The Structure of the Real Number System

The Structure of the Real Number System PDF Author: Leon Warren Cohen
Publisher:
ISBN:
Category :
Languages : en
Pages : 116

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Book Description


The Real Number System

The Real Number System PDF Author: John M. H. Olmsted
Publisher: Courier Dover Publications
ISBN: 0486834743
Category : Mathematics
Languages : en
Pages : 241

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Book Description
Concise but thorough and systematic, this categorical discussion of the real number system presents a series of step-by-step axioms, each illustrated by examples. The highly accessible text is suitable for readers at varying levels of knowledge and experience: advanced high school students and college undergraduates as well as prospective high school and college instructors. The abundance of examples and the wealth of exercises—more than 300, all with answers provided—make this a particularly valuable book for self-study. The first two chapters examine fields and ordered fields, followed by an introduction to natural numbers and mathematical induction. Subsequent chapters explore composite and prime numbers, integers and rational numbers, congruences and finite fields, and polynomials and rational functions. Additional topics include intervals and absolute value, the axiom of completeness, roots and rational exponents, exponents and logarithms, and decimal expansions. A helpful Appendix concludes the text.

The Real Number System

The Real Number System PDF Author: John M. H. Olmsted
Publisher: Courier Dover Publications
ISBN: 048682764X
Category : Mathematics
Languages : en
Pages : 241

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Book Description
Concise but thorough and systematic, this categorical discussion presents a series of step-by-step axioms. The highly accessible text includes numerous examples and more than 300 exercises, all with answers. 1962 edition.

Number Systems and the Foundations of Analysis

Number Systems and the Foundations of Analysis PDF Author: Elliott Mendelson
Publisher: Dover Books on Mathematics
ISBN: 9780486457925
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.

Structuralism and Structures

Structuralism and Structures PDF Author: Charles Earl Rickart
Publisher: World Scientific
ISBN: 9789810218607
Category : Mathematics
Languages : en
Pages : 240

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Book Description
This book is devoted to an analysis of the way that structures must enter into a serious study of any subject, and the term ?structuralism? refers to the general method of approaching a subject from the viewpoint of structure. A proper appreciation of this approach requires a deeper understanding of the concept of structure than is provided by the simple intuitive notion of structures that everyone posseses to some degree. Therefore, a large part of the discussion is devoted directly or indirectly to a study of the nature of structures themselves. A formal definition of a structure, plus some basic general properties and examples, is given early in the discussion. Also, in order to clarify the general notions and to see how they are used, the later chapters are devoted to an examination of how structures enter into some special fields, including linguistics, mental phenomena, mathematics (and its applications), and biology (especially in the theory of evolution). Because the author is a mathematician, certain mathematical ideas have influenced greatly the choice and approach to the material covered. In general, however, the mathematical influence is not on a technical level and is often only implicit. Even the chapter on mathematical structures is nontechnical and is about rather than on mathematics. Only in the last chapter and earlier in three short sections does one find any of the expected ?formal? mathematics. In other words, the great bulk of the material is accessible to someone without a mathematical background.

The Structure of the Real Number System

The Structure of the Real Number System PDF Author: John D. Baum
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 296

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The Structure of the Real Number System

The Structure of the Real Number System PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 116

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Book Description