The World of Mathematics, Volym 3Courier Corporation, 18 sep. 2000 - 624 sidor Vol. 3 of a monumental 4-volume set covers such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the unreasonableness of mathematics, the vocabulary of mathematics, and mathematics as an art. Specific contributions by Jacob Bernoulli, George Bernard Shaw, Bertrand Russell, Hans Hahn, Ernst Mach, Hermann Weyl, George Boole, Alfred Tarski, and many others. Informative commentary by noted mathematics scholar James R. Newman precedes each essay. Numerous figures. |
Innehåll
Commentary | 1416 |
Foundations of Vital Statistics | 1421 |
First Life Insurance Tables | 1437 |
Commentary | 1448 |
The Law of Large Numbers | 1452 |
Commentary | 1456 |
Sampling and Standard Error | 1459 |
On the Average and Scatter | 1487 |
Commentary | 1767 |
The Essence of Mathematics | 1773 |
Commentary | 1784 |
The Economy of Science | 1787 |
Commentary | 1796 |
Measurement | 1797 |
Numerical Laws and the Use of Mathematics in Science | 1814 |
Commentary | 1830 |
Mathematics of a Lady Tasting Tea | 1512 |
Commentary | 1522 |
The Vice of Gambling and the Virtue of Insurance | 1524 |
The Supreme Art of Abstraction Group Theory | 1533 |
Commentary | 1534 |
The Group Concept | 1538 |
The Theory of Groups | 1558 |
Mathematics of Infinity | 1575 |
Mathematics and the Metaphysicians | 1576 |
Commentary | 1591 |
Infinity | 1593 |
Mathematical Truth and the Structure of Mathematics | 1613 |
Commentary | 1614 |
On the Nature of Mathematical Truth | 1619 |
Geometry and Empirical Science | 1635 |
The Axiomatic Method | 1647 |
Goedels Proof | 1668 |
A Mathematical Science | 1696 |
Mathematics and the World | 1708 |
Mathematical Postulates and Human Understanding | 1723 |
The Mathematical Way of Thinking | 1755 |
Commentary | 1756 |
The Study That Knows Nothing of Observation | 1758 |
The Mathematical Way of Thinking | 1832 |
Mathematics and Logic | 1851 |
Commentary | 1852 |
Mathematical Analysis of Logic | 1856 |
History of Symbolic Logic | 1859 |
Symbolic Notation Haddocks Eyes and the DogWalking Ordinance | 1878 |
Symbolic Logic | 1901 |
The Unreasonableness of Mathematics | 1933 |
Commentary | 1934 |
Paradox Lost and Paradox Regained | 1936 |
The Crisis in Intuition | 1956 |
How to Solve It | 1977 |
Commentary | 1978 |
How to Solve It | 1980 |
The Vocabulary of Mathematics | 1993 |
Commentary | 1994 |
New Names for Old | 1996 |
Mathematics as an Art | 2011 |
Commentary | 2012 |
Mathematics as an Art | 2015 |
INDEX | 2023 |
Andra upplagor - Visa alla
Vanliga ord och fraser
algebra arithmetic assertion assumptions average axiom of choice axiomatic axiomatic method Bertrand Russell calculation called cardinal number chance concept consider consistency construction contains counting curve deduction defined definition denumerably infinite derived elements equal equation Ernest Nagel errors Euclid euclidean geometry example experience experimental expression fact false Figure finite number formal formula fundamental given Goedel number googol googolplex Hans Hahn ideas implication infinity integer interpretation intuition Leibniz m-class mathe mathematical logic mathematical propositions mathematician matics meaning measure ment meta-mathematical method natural numbers non-Euclidean geometry notion objects observation obtained operation ordinary parallel axiom Peirce philosophy physical plane positive number possible postulates principle problem proof proved pure question real numbers reasoning relation represent result rule sample sense sentence sentential calculus sentential function space statement straight line theorems theory things tion transformations triangle true truth variables velocity words
Hänvisningar till den här boken
Pierre-Simon Laplace Philosophical Essay on Probabilities: Translated from ... Pierre-Simon Laplace Begränsad förhandsgranskning - 1998 |