Lectures On Fundamental Concepts Of Algebra And Geometry

Young John Wesley

• Publisher: Howard Press
• Year: 2013
• Print ISBN:
  9781406728859
• eBook ISBN:
  9781473391468
• Topic: Mathematics
• Subtopic: Mathematics General
• Index: Mathematics

A book perfect for math student or keen amateur scientists who wish to learn more about algebra and geometry.

Table of contents

• Cover
• Title
• Copyright
• Preface
• Contents
• I. Introduction. Euclid’s Elements
• II. A Non-Euclidean World
• III. On the History of the Parallel Postulate
• IV. Logical Significance of Definitions, Axioms, and Postulates
• V. Consistency, Independence, and Categoricalness of a Set of Assumptions
• VI. Class. Correspondence. Number
• VII. Order. Discrete Sequences
• VIII. The Sequence of Cardinal Numbers. Denumerable Classes. Dense Classes. Continuous Classes
• IX. Group. Number System
• X. Historical and Logical Development of the Concept of Real Number
• XI. Negative Numbers
• XII. Ordinary and Higher Complex Numbers
• XIII. Geometry. Hilbert’s Assumptions
• XIV. Hilbert’s Assumptions (Continued)
• XV. Pieri’s Assumptions
• XVI. The Dimensions of a Class
• XVII. Spaces of Four or More Dimensions
• XVIII. Algebra and Geometry
• XIX. Variable and Function
• XX. Limit
• XXI. General Conclusions
• Note. The Growth of Algebraic Symbolism, by U. G. Mitchell
• Index