The New Elements of Mathematics. Volume 2, Algebra and Geometry / Carolyn Eisele.

Format:

Book

Author/Creator:

Peirce, Charles S., author.

Contributor:

Eisele, Carolyn, editor.

Series:

The New Elements of Mathematics ; Volume 2

Language:

English

Subjects (All):

Mathematics.

Algebra.

Geometry.

Physical Description:

1 online resource (708 pages) : illustrations.

Edition:

Reprint 2016

Place of Publication:

Berlin ; Boston : De Gruyter, [2016]

Language Note:

In English.

Contents:

Frontmatter

Introduction

Contents

1. Elements of Mathematics (165)

Preface (1) (164)

Preface (2) (94a)

1. Introduction, on Mathematics in General

2. Sequences

3. The Fundamental Operations in Algebra

4. Factors

5. Negative Numbers

6. Fractional Quantities

7. Simple Equations

8. Ratios and Proportions

9. Surds

10. Topical Geometry

11. Graphics and Perspective

2. New Elements of Geometry Based on Benjamin Peirce's Works and Teachings (94)

Preface

Book I. Fundamental Properties of Space

Book II. Topology

Book III. Graphics

Book IV. Metrics

3. Topical Geometry (137)

Topical Geometry (137)

4. Appendices

A. On the Quadratic Equation (86)

B. Rational Fractions (278a fragment)

C. Numerical Equations (69)

D. [Additional Definitions] (from 166 and 150)

E. [A Gloss. Elliptic, Hyperbolic, and Parabolic Measurement] (150)

F. A Geometrico-Logical Discussion (126)

G. [Projective Space] (part of 114)

H. [Logic of Number - Le Fevre] (229)

I. [Additional Theorems] (150 and 266)

J. Promptuarium of Analytical Geometry (part of 102)

K. Pythagorean Triangles (109)

L. Analysis of Time (part of 138)

M. Plan of Geometry (132)

N. [Non-Euclidean Representation] (105)

O. An Attempt to State Systematically the Doctrine of the Census in Geometrical Topics or Topical Geometry, More Commonly known as 'Topology'; Being, a Mathematico- Logical Recreation of C. S. Peirce. Following the Lead of J. B. Listing's Paper in the Göttinger Abhandlungen (from 145)

P. ["Census" from Century Dictionary with Model]

Q. Chapter III The Nature of Logical Inquiry (608)

R. Three Problems

S. Comments on Cayley's Memoir on Abstract Geometry from the Point of View of the Logic of Relatives (546)

T. [Obituary. Prof. Arthur Cayley]

U. [From an Address to National Academy of Sciences] (95)

Key to Greek Terms

Key to Contents of MS. 165

Key to Contents of MS. 94

Index of Names

Subject Index

Notes:

Includes index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018)

ISBN:

9783110818840

3110818841

OCLC:

1011470172