Volume 2 Algebra and Geometry

Book

Volume 2 Algebra and Geometry

Part of the multi-volume work

The New Elements of Mathematics

Language: English

Published/Copyright: 1976

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Frontmatter Publicly Available Download PDF	I
Introduction Requires Authentication Unlicensed Licensed Download PDF	VII
Contents Publicly Available Download PDF	XXXI
1. Elements of Mathematics (165)
Preface (1) (164) Requires Authentication Unlicensed Licensed Download PDF	3
Preface (2) (94a) Requires Authentication Unlicensed Licensed Download PDF	4
1. Introduction, on Mathematics in General Requires Authentication Unlicensed Licensed Download PDF	7
2. Sequences Requires Authentication Unlicensed Licensed Download PDF	34
3. The Fundamental Operations in Algebra Requires Authentication Unlicensed Licensed Download PDF	61
4. Factors Requires Authentication Unlicensed Licensed Download PDF	75
5. Negative Numbers Requires Authentication Unlicensed Licensed Download PDF	84
6. Fractional Quantities Requires Authentication Unlicensed Licensed Download PDF	91
7. Simple Equations Requires Authentication Unlicensed Licensed Download PDF	102
8. Ratios and Proportions Requires Authentication Unlicensed Licensed Download PDF	131
9. Surds Requires Authentication Unlicensed Licensed Download PDF	143
10. Topical Geometry Requires Authentication Unlicensed Licensed Download PDF	165
11. Graphics and Perspective Requires Authentication Unlicensed Licensed Download PDF	192
2. New Elements of Geometry Based on Benjamin Peirce’s Works and Teachings (94)
Preface Requires Authentication Unlicensed Licensed Download PDF	235
Book I. Fundamental Properties of Space Requires Authentication Unlicensed Licensed Download PDF	239
Book II. Topology Requires Authentication Unlicensed Licensed Download PDF	271
Book III. Graphics Requires Authentication Unlicensed Licensed Download PDF	319
Book IV. Metrics Requires Authentication Unlicensed Licensed Download PDF	427
3. Topical Geometry (137)
Topical Geometry (137) Requires Authentication Unlicensed Licensed Download PDF	477
4. Appendices
A. On the Quadratic Equation (86) Requires Authentication Unlicensed Licensed Download PDF	551
B. Rational Fractions (278a fragment) Requires Authentication Unlicensed Licensed Download PDF	556
C. Numerical Equations (69) Requires Authentication Unlicensed Licensed Download PDF	558
D. [Additional Definitions] (from 166 and 150) Requires Authentication Unlicensed Licensed Download PDF	564
E. [A Gloss. Elliptic, Hyperbolic, and Parabolic Measurement] (150) Requires Authentication Unlicensed Licensed Download PDF	574
F. A Geometrico-Logical Discussion (126) Requires Authentication Unlicensed Licensed Download PDF	578
G. [Projective Space] (part of 114) Requires Authentication Unlicensed Licensed Download PDF	590
H. [Logic of Number – Le Fevre] (229) Requires Authentication Unlicensed Licensed Download PDF	592
I. [Additional Theorems] (150 and 266) Requires Authentication Unlicensed Licensed Download PDF	596
J. Promptuarium of Analytical Geometry (part of 102) Requires Authentication Unlicensed Licensed Download PDF	602
K. Pythagorean Triangles (109) Requires Authentication Unlicensed Licensed Download PDF	607
L. Analysis of Time (part of 138) Requires Authentication Unlicensed Licensed Download PDF	611
M. Plan of Geometry (132) Requires Authentication Unlicensed Licensed Download PDF	614
N. [Non-Euclidean Representation] (105) Requires Authentication Unlicensed Licensed Download PDF	621
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) Requires Authentication Unlicensed Licensed Download PDF	623
P. [“Census” from Century Dictionary with Model] Requires Authentication Unlicensed Licensed Download PDF	629
Q. Chapter III The Nature of Logical Inquiry (608) Requires Authentication Unlicensed Licensed Download PDF	633
R. Three Problems Requires Authentication Unlicensed Licensed Download PDF	634
S. Comments on Cayley’s Memoir on Abstract Geometry from the Point of View of the Logic of Relatives (546) Requires Authentication Unlicensed Licensed Download PDF	638
T. [Obituary. Prof. Arthur Cayley] Requires Authentication Unlicensed Licensed Download PDF	642
U. [From an Address to National Academy of Sciences] (95) Requires Authentication Unlicensed Licensed Download PDF	650
Key to Greek Terms Requires Authentication Unlicensed Licensed Download PDF	655
Key to Contents of MS. 165 Requires Authentication Unlicensed Licensed Download PDF	659
Key to Contents of MS. 94 Requires Authentication Unlicensed Licensed Download PDF	662
Index of Names Requires Authentication Unlicensed Licensed Download PDF	667
Subject Index Requires Authentication Unlicensed Licensed Download PDF	669

Publishing information

Pages and Images/Illustrations in book

eBook published on:

July 25, 2016

eBook ISBN:

9783110818840

Hardcover published on:

January 1, 1976

Hardcover ISBN:

9789027930255

Edition:

Reprint 2016

Pages and Images/Illustrations in book

Front matter:

31

Main content:

672

Other:

Zahlr. Abb.

https://doi.org/10.1515/9783110818840

eBook ISBN: 9783110818840

Hardcover ISBN: 9789027930255

Safety & product resources

Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Volume 2 Algebra and Geometry

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Table of contents

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