A Source Book in Mathematics by David Eugene Smith
This work presents, in English translation, the great discoveries in mathematics from the Renaissance to the end of the nineteenth century. You are able to read the writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others, exactly as the world saw them for the first time. Succinct selections from 125 different treatises and articles, most of them unavailable elsewhere in English, offer a vivid, firsthand story of the growth of mathematics. The articles are grouped in five sections:I. The Field of Number. Twenty-four articles trace developments from the first steps in printed arithmetic through selected number systems, to the early phases of modern number theory.
I. The Field of Algebra. Eighteen articles on algebra include writings by Fermat, John Wallis, Newton, Leibniz, Abel, Galois, etc.
I. The Field of Geometry. Thirty-six articles on geometry span 500 years. Here are the early writers such as Fermat, Desargues, Pascal, and Descartes; and some of the men who revived the study in the nineteenth century and developed non-Euclidian forms: Lobachevsky, Bolyai, Riemann, and others.
IV. The Field of Probability. Selections from Fermat, Pascal, De Moivre, Legendre, Chebyshev, and Laplace discuss crucial topics in the early history of this branch of modern mathematics.
V. The Field of Calculus, Functions, and Quaternions. The development of the calculus, function theory, and quaternions is covered from early sources of calculus to important advances relating to the commutative law in quaternions and Ausdehnungslehre. This section contains works of Bessel, Mobius, W. R. Hamilton, Leibniz, Berkeley, Cauchy, Fermat, and six other pioneering mathematicians.
Each article is preceded by a biographical-historical Introduction.
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Galois Theory
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Lady Luck: The Theory of Probability
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Non-Euclidean Geometry
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The Magic of Numbers
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Elements of Abstract Algebra
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Topology
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Trigonometry Refresher
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A Geometric Introduction to Topology
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Calculus Refresher
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Fibonacci and Lucas Numbers, and the Golden Section
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Introduction to Artificial Intelligence
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Principles of Statistics
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Elementary Concepts of Topology
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Intriguing Mathematical Problems
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Calculus of Variations
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Algebraic Number Theory
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Mathematical Puzzling
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Practical Statistics Simply Explained
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Calculus and Statistics
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Statistical Adjustment of Data
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Basic Set Theory
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The Malliavin Calculus
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Elementary Decision Theory
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Logic and Boolean Algebra
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Elementary Matrix Theory
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Introduction to Field Theory
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Modern Nonlinear Equations
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Mathematical Physics
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The Foundations of Statistics
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The Gamma Function
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The Mathematics of Games
- The Theory of Remainders
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Structure of Algebras
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Lectures on Functional Equations and Their Applications
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The Nature and Power of Mathematics
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Lectures on Elementary Number Theory
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A Treatise on Probability
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A Course in the Geometry of N-Dimen
| SKU | Unavailable |
| ISBN 13 | 9780486646909 |
| ISBN 10 | 0486646904 |
| Title | A Source Book in Mathematics |
| Author | David Eugene Smith |
| Series | Dover Books On Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Dover Publications Inc. |
| Year published | 1984-07-01 |
| Number of pages | 701 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |