ABSTRACT
First published in 2004. This book examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century. Includes 176 articles contributed by authors of 18 nationalities. With a chronological table of main events in the development of mathematics. Has a fully integrated index of people, events and topics; as well as annotated bibliographies of both classic and contemporary sources and provide unique coverage of Ancient and non-Western traditions of mathematics. Presented in Two Volumes.
TABLE OF CONTENTS
part 7|123 pages
Geometries and Topology
entry 7.0
7.0 Introduction
entry 7.1
Algebraic and analytic geometry
entry 7.2
Curves
entry 7.3
Regular polyhedra
entry 7.4
7.4 Euclidean and non-Euclidean geometry
entry 7.5
7.5 Descriptive geometry
entry 7.6
7.6 Projective geometry
entry 7.7
7.7 Line geometry
entry 7.8
7.8 The philosophy of geometry to 1900
entry 7.9
7.9 Early modern algebraic geometry
entry 7.10
7.10 Topology: Geometric, algebraic
entry 7.11
7.11 Topology: Invariance of dimension
entry 7.12
7.12 Finite-dimensional vector spaces
entry 7.13
7.13 Combinatorics
part 8|171 pages
Mechanics and Mechanical Engineering
entry 8.0
Introduction
entry 8.1
Classical mechanics
entry 8.2
Graphical statics
entry 8.3
Kinematics
entry 8.4
Feedback control systems
entry 8.5
Hydrodynamics and hydraulics
entry 8.6
Theories of elasticity
entry 8.7
The theory of structures
entry 8.8
The dynamics of the Solar System
entry 8.9
The three-body problem
entry 8.10
Astrophysics and cosmology
entry 8.11
Ballistics and projectiles
entry 8.12
Mathematics and flight
entry 8.13
The pendulum: Theory, and its use in clocks
entry 8.14
Geodesy
entry 8.15
Cartography
entry 8.16
The tides
entry 8.17
Shipbuilding and ship operation
entry 8.18
Astronomical navigation
part 9|142 pages
Physics and Mathematical Physics, and Electrical Engineering
entry 9.0
9.0 Introduction
entry 9.1
9.1 Physical optics
entry 9.2
9.2 The velocity of light
entry 9.3
9.3 Optics and optical instruments, 1600 – 1800
entry 9.4
9.4 Heat diffusion
entry 9.5
9.5 Thermodynamics
entry 9.6
9.6 Geophysics
entry 9.7
9.7 Meteorology
entry 9.8
9.8 Acoustics
entry 9.9
9.9 Capillarity
entry 9.10
9.10 Mathematical theories of electricity and magnetism to 1900
entry 9.11
9.11 Telecommunication theory
entry 9.12
9.12 Electrical machines: Tensors and topology
entry 9.13
9.13 Relativity
entry 9.14
9.14 Statistical mechanics
entry 9.15
9.15 Quantum mechanics
entry 9.16
9.16 Mathematics in chemistry
entry 9.17
9.17 Crystallography
entry 9.18
9.18 Mathematical biology
part 10|143 pages
Probability and Statistics, and the Social Sciences
entry 10.0
Introduction
entry 10.1
Combinatorial probability
entry 10.2
The early development of mathematical probability
entry 10.3
Actuarial mathematics
entry 10.4
Estimating and testing the standard linear statistical model
entry 10.5
Theory of errors
entry 10.6
Russian probability and statistics before Kolmogorov
entry 10.7
The English biometric tradition
entry 10.8
Probability, statistics and the social sciences
entry 10.9
Psychology and probability: Two sides of the same coin
entry 10.10
Probability and statistics in genetics
entry 10.11
Probability and Statistics in Agronomy
entry 10.12
Probabilistic and statistical methods in medicine
entry 10.13
Probability and statistics in mechanics
entry 10.14
Statistical control of manufacture
entry 10.15
The social organization of probability and statistics
entry 10.16
Foundations of probability
entry 10.17
Philosophies of probability
entry 10.18
Mathematical economics
part 11|115 pages
Higher Education and Institutions
entry 11.0
11.0 Introduction
entry 11.1
France
entry 11.2
Germany to 1933
entry 11.3
11.3 Austria and Hungary
entry 11.4
11.4 The Netherlands
entry 11.5
11.5 Scandinavia
entry 11.6
11.6 Russia and the Soviet Union
entry 11.7
11.7 The British Isles
entry 11.8
11.8 The Italian states
entry 11.9
11.9 Spain, Portugal and Ibero-America, 1780—1930
entry 11.10
11.10 The United States of America, and Canada
entry 11.11
11.11 Women and mathematics
entry 11.12
11.12 Mathematical journals
part 12|135 pages
Mathematics and culture
entry 12.0
Introduction
entry 12.1
Ethnomathematics
entry 12.2
Mathematical games
entry 12.3
Recreational mathematics
entry 12.4
The golden number, and division in extreme and mean ratio
entry 12.5
Numerology and gematria
entry 12.6
Art and architecture
entry 12.7
Symmetries in mathematics
entry 12.8
Tilings
entry 12.9
Mathematics and prose literature
entry 12.10
Mathematics and poetry
entry 12.11
Stamping mathematics
entry 12.12
Monuments to mathematics and mathematicians
entry 12.13
Talepiece: The history of mathematics and its own history
part 13|9 pages
Reference and information
entry 13.0
Introduction
entry 13.1
Select bibliography of general sources
