Author: Leon Warren Cohen
Publisher:
ISBN: 9781258439446
Category :
Languages : en
Pages : 124
Book Description
Additional Editor Is Paul R. Halmos. The University Series In Undergraduate Mathematics.
The Structure of the Real Number System
Author: Leon Warren Cohen
Publisher:
ISBN: 9781258439446
Category :
Languages : en
Pages : 124
Book Description
Additional Editor Is Paul R. Halmos. The University Series In Undergraduate Mathematics.
Publisher:
ISBN: 9781258439446
Category :
Languages : en
Pages : 124
Book Description
Additional Editor Is Paul R. Halmos. The University Series In Undergraduate Mathematics.
Number Systems and the Foundations of Analysis
Author: Elliott Mendelson
Publisher: Dover Books on Mathematics
ISBN: 9780486457925
Category : Mathematics
Languages : en
Pages : 0
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.
Publisher: Dover Books on Mathematics
ISBN: 9780486457925
Category : Mathematics
Languages : en
Pages : 0
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.
The Real Number System
Author: John M. H. Olmsted
Publisher: Courier Dover Publications
ISBN: 048682764X
Category : Mathematics
Languages : en
Pages : 241
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.
Publisher: Courier Dover Publications
ISBN: 048682764X
Category : Mathematics
Languages : en
Pages : 241
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.
Structuralism and Structures
Author: Charles Earl Rickart
Publisher: World Scientific
ISBN: 9789810218607
Category : Mathematics
Languages : en
Pages : 240
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.
Publisher: World Scientific
ISBN: 9789810218607
Category : Mathematics
Languages : en
Pages : 240
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 Number Systems: Foundations of Algebra and Analysis
Author: Solomon Feferman
Publisher: American Mathematical Soc.
ISBN: 0821829157
Category : Mathematics
Languages : en
Pages : 434
Book Description
The subject of this book is the successive construction and development of the basic number systems of mathematics: positive integers, integers, rational numbers, real numbers, and complex numbers. This second edition expands upon the list of suggestions for further reading in Appendix III. From the Preface: ``The present book basically takes for granted the non-constructive set-theoretical foundation of mathematics, which is tacitly if not explicitly accepted by most working mathematicians but which I have since come to reject. Still, whatever one's foundational views, students must be trained in this approach in order to understand modern mathematics. Moreover, most of the material of the present book can be modified so as to be acceptable under alternative constructive and semi-constructive viewpoints, as has been demonstrated in more advanced texts and research articles.''
Publisher: American Mathematical Soc.
ISBN: 0821829157
Category : Mathematics
Languages : en
Pages : 434
Book Description
The subject of this book is the successive construction and development of the basic number systems of mathematics: positive integers, integers, rational numbers, real numbers, and complex numbers. This second edition expands upon the list of suggestions for further reading in Appendix III. From the Preface: ``The present book basically takes for granted the non-constructive set-theoretical foundation of mathematics, which is tacitly if not explicitly accepted by most working mathematicians but which I have since come to reject. Still, whatever one's foundational views, students must be trained in this approach in order to understand modern mathematics. Moreover, most of the material of the present book can be modified so as to be acceptable under alternative constructive and semi-constructive viewpoints, as has been demonstrated in more advanced texts and research articles.''
Algebra and Trigonometry
Author: Jay P. Abramson
Publisher:
ISBN: 9781938168376
Category : Algebra
Languages : en
Pages : 1564
Book Description
"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.
Publisher:
ISBN: 9781938168376
Category : Algebra
Languages : en
Pages : 1564
Book Description
"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.
Set Theory: The Structure of Arithmetic
Author: Norman T. Hamilton
Publisher: Courier Dover Publications
ISBN: 0486830470
Category : Mathematics
Languages : en
Pages : 289
Book Description
This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.
Publisher: Courier Dover Publications
ISBN: 0486830470
Category : Mathematics
Languages : en
Pages : 289
Book Description
This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.
Principles and Standards for School Mathematics
Author:
Publisher:
ISBN: 9780873534840
Category : Mathematics
Languages : en
Pages : 20
Book Description
This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.
Publisher:
ISBN: 9780873534840
Category : Mathematics
Languages : en
Pages : 20
Book Description
This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.
The Real Numbers and Real Analysis
Author: Ethan D. Bloch
Publisher: Springer Science & Business Media
ISBN: 0387721762
Category : Mathematics
Languages : en
Pages : 577
Book Description
This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. It is organized in a distinctive, flexible way that would make it equally appropriate to undergraduate mathematics majors who want to continue in mathematics, and to future mathematics teachers who want to understand the theory behind calculus. The Real Numbers and Real Analysis will serve as an excellent one-semester text for undergraduates majoring in mathematics, and for students in mathematics education who want a thorough understanding of the theory behind the real number system and calculus.
Publisher: Springer Science & Business Media
ISBN: 0387721762
Category : Mathematics
Languages : en
Pages : 577
Book Description
This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. It is organized in a distinctive, flexible way that would make it equally appropriate to undergraduate mathematics majors who want to continue in mathematics, and to future mathematics teachers who want to understand the theory behind calculus. The Real Numbers and Real Analysis will serve as an excellent one-semester text for undergraduates majoring in mathematics, and for students in mathematics education who want a thorough understanding of the theory behind the real number system and calculus.
Elementary Real Analysis
Author: Brian S. Thomson
Publisher: ClassicalRealAnalysis.com
ISBN: 0130190756
Category : Mathematical analysis
Languages : en
Pages : 753
Book Description
Publisher: ClassicalRealAnalysis.com
ISBN: 0130190756
Category : Mathematical analysis
Languages : en
Pages : 753
Book Description