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Lectures on Numerical Methods in Bifurcation Problems
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
The Last Days of Tolstoy by V. G. Chertkov
Globalization and Responsibility
Lectures on Siegel Modular Forms and Representation by Quadratic Forms
Lectures on Topics In One-Parameter Bifurcation Problems
History of the Incas by Pedro Sarmiento de Gamboa
Linear Algebra: Theorems and Applications
Lectures on Stochastic Differential Equations and Malliavin Calculus
A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
The Last Days of Tolstoy by V. G. Chertkov
Globalization and Responsibility
Lectures on Siegel Modular Forms and Representation by Quadratic Forms
Lectures on Topics In One-Parameter Bifurcation Problems
History of the Incas by Pedro Sarmiento de Gamboa
Linear Algebra: Theorems and Applications
Lectures on Stochastic Differential Equations and Malliavin Calculus
A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
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Numerical Inversion of the Laplace Transform: Applications to Biology, Economics Engineering, and Physics
Posted on 2010-04-13
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More : Bellman, Kalaba, Lockett The modern approach to the study of the phenomena of the physical world, essentially the methods of Galileo, Newton, Leibniz, and their successors, relies heavily upon the use of mathematics as the language of science. The description of physical processes in this language leads to a number of functional equations, of which the most familiar are ordinary differential equations. For the reading and effective utilization of a significant quantity of the material in this book, we require only a modicum of mathematical training; say that acquired in a good course in advanced calculus: Naturally, the more mathematical training the reader has, the easier will be his fask and the more he will absorb. A rudimentary knowledge of the uses of the computer will also be useful. Above all, we require a certain amount of intellectual maturity - whatever this indefinable quality is - but no more than what we know to be possessed by those currently engaged in the application of mathematical techniques to biology, economics, engineering, physics, and so on. Our aim is to reduce the painful and time-consuming task of obtaining the numerical solution of large classes of functional equations that occur repeatedly in the description of scientific problems to a routine chore, a chore which can be delegated to assistants. In some fortunate cases, our methods can be carried out with the aid of a slide rule or a desk computer. In other cases, we may require the numerical integration of a system of ordinary differential equations or of a system of linear algebraic equations. This is the maximum of computational sophistication that we require. To see my other books, click here.
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