Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.
Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.
Raymond L. Wilder (1896-1982) was Professor of Mathematics at the University of Michigan. After his 1967 retirement, he served as a research associate and lecturer at the University of California, Santa Barbara.
Inhaltsangabe
Part One: Fundamental Concepts and Methods of Mathematics I. The Axiomatic Method II. Analysis of the Axiomatic Method III Theory of Sets III Theory of Sets IV. Infinite Sets V. Well-Ordered Sets; Ordinal Numbers VI. The Linear Continuum and the Real Number System VII. Groups and Their Significance for the Foundations Part Two: Development of Various Viewpoints on Foundations VIII. The Early Developments IX. The Frege-Russell Thesis: Mathematics an Extension of Logic X. Intuitionism XI. Formal Systems; Mathematical Logic XII. The Cultural Setting of Mathematics Bibliography Index of Symbols Index of Topics and Technical Terms Index of Names
Part One: Fundamental Concepts and Methods of Mathematics I. The Axiomatic Method II. Analysis of the Axiomatic Method III Theory of Sets III Theory of Sets IV. Infinite Sets V. Well-Ordered Sets; Ordinal Numbers VI. The Linear Continuum and the Real Number System VII. Groups and Their Significance for the Foundations Part Two: Development of Various Viewpoints on Foundations VIII. The Early Developments IX. The Frege-Russell Thesis: Mathematics an Extension of Logic X. Intuitionism XI. Formal Systems; Mathematical Logic XII. The Cultural Setting of Mathematics Bibliography Index of Symbols Index of Topics and Technical Terms Index of Names
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