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Common Sense of the Exact Sciences [Minkštas viršelis]

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  • Formatas: Paperback / softback, 290 pages, aukštis x plotis x storis: 216x140x17 mm, weight: 370 g, 100 Line drawings, unspecified
  • Serija: Cambridge Library Collection - Physical Sciences
  • Išleidimo metai: 25-Sep-2014
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1108077129
  • ISBN-13: 9781108077125
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 290 pages, aukštis x plotis x storis: 216x140x17 mm, weight: 370 g, 100 Line drawings, unspecified
  • Serija: Cambridge Library Collection - Physical Sciences
  • Išleidimo metai: 25-Sep-2014
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1108077129
  • ISBN-13: 9781108077125
Kitos knygos pagal šią temą:
A student of Trinity College and a member of the Cambridge Apostles, William Kingdon Clifford (184579) graduated as second wrangler in the mathematical tripos, became a professor of applied mathematics at University College London in 1871, and was elected a fellow of the Royal Society in 1874. The present work was begun by Clifford during a remarkably productive period of ill health, yet it remained unfinished at his death. The statistician and philosopher of science Karl Pearson (18571936) was invited to edit and complete the work, finally publishing it in 1885. It tackles five of the most fundamental areas of mathematics - number, space, quantity, position and motion - explaining each one in the most basic terms, as well as deriving several original results. Also demonstrating the rationale behind these five concepts, the book particularly pleased a later Cambridge mathematician, Bertrand Russell, who read it as a teenager.

Daugiau informacijos

Published in 1885, this instructive work explores five fundamental areas of mathematics: number, space, quantity, position and motion.
Chapter I Number
1 Number is Independent of the order of Counting
1(1)
2 A Sam is Independent of the order of Adding
2(4)
3 A Product is Independent of the order of Multiplying
6(8)
4 The Distributive Law
14(2)
5 On Powers
16(1)
6 Square of a + 1
17(2)
7 On Powers of a + b
19(5)
8 On the Number of Arrangements of a Group of Letters
24(3)
9 On a Theorem concerning any Power of a + b
27(5)
10 On Operations which appear to be without Meaning
32(2)
11 Steps
34(4)
12 Extension of the Meaning of Symbols
38(2)
13 Addition and Multiplication of Operations
40(2)
14 Division of Operations
42(3)
15 General Results of our Extension of Terms
45(2)
Chapter II Space
1 Boundaries take up no Boom
47(5)
2 Lengths can be Moved without Change
52(13)
3 The Characteristics of Shape
65
4 The Characteristics of Surface Boundaries
63(3)
6 The Plane and the Straight Line
66(3)
6 Properties of Triangles
69(6)
7 Properties of Circles; Belated Circles and Triangles
75(6)
8 The Conic Sections
81(6)
9 On Surfaces of the Second Order
87(4)
10 How to form Curves of the Third and Higher Orders
91(4)
Chapter III Quantity
1 The Measurement of Quantities
95(4)
2 The Addition and Subtraction of Quantities
99(1)
3 The Multiplication and Division of Quantities
100(2)
4 The Arithmetical Expression of Ratios
102(3)
5 The Fourth Proportional
105(8)
6 Of Areas; Stretch and Squeeze
113(3)
7 Of Fractions
116(4)
8 Of Areas; Shear
120(3)
9 Of Circles and their Areas
123(7)
10 Of the Area of Sectors of Curves
130(1)
11 Extension of the Conception of Area
131(4)
12 On the Area of a Closed Tangle
135(3)
13 On the Volumes of Space-Figures
138(3)
14 On the Measurement of Angles
141(3)
15 On Fractional Powers
144(3)
Chapter IV Position
1 All Position is Relative
147(2)
2 Position may be Determined by Directed Steps
149(4)
3 The Addition of Directed Steps or Vectors
153(5)
4 The Addition of Vectors obeys the Commutative Law
158(1)
5 On Methods of Determining Position in a Plane
159(5)
6 Polar Co-ordinates
164(2)
7 The Trigonometrical Ratios
166(1)
8 Spirals
167(4)
9 The Equiangular Spiral
171(5)
10 On the Nature of Logarithms
176(5)
11 The Cartesian Method of Determining Position
181(7)
12 Of Complex Numbers
188(4)
13 On the Operation which turns a Step through a given Angle
192(3)
14 Relation of the Spin to the Logarithmic Growth of Unit Step
195(3)
15 On the Multiplication of Vectors
198(6)
16 Another Interpretation of the Product of Two Vectors
204(3)
17 Position in Three-Dimensioned Space
207(3)
18 On Localised Vectors or Rotors
210(4)
19 On the Bending of Space
214(13)
Chapter V Motion
1 On the Various Kinds of Motion
227(3)
2 Translation and the Curve of Positions
230(5)
3 Uniform Motion
235(2)
4 Variable Motion
237(6)
6 On the Tangent to a Curve
243(7)
6 On the Determination of Variable Velocity
250(3)
7 On the Method of Fluxions
253(12)
8 Of the Relationship of Quantities, or Functions
265
9 Of Acceleration and the Hodograph
260(7)
10 On the Laws of Motion
267(2)
11 Of Mass and Force
269