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Revised edition re-creates the change from an earth- to a sun-centered conception of the solar system by focusing on an examination of the evidence available in 1615.
Revised edition re-creates the change from an earth- to a sun-centered conception of the solar system by focusing on an examination of the evidence available in 1615.
Revised edition re-creates the change from an earth- to a sun-centered conception of the solar system by focusing on an examination of the evidence available in 1615.
An account of the Copernican Revolution, focusing on the significance of the plurality of the revolution which encompassed not only mathematical astronomy, but also conceptual changes in cosmology, physics, philosophy, and religion.
This book provides an introduction to the fundamentals of stellar astronomy, a history of astronomy, and an account of how the science of astronomy challenged traditional philosophical and theological beliefs. Throughout the text are readings from the writings of scientists who contributed most significantly to the development of astronomy.
Details the science behind the Copernican Revolution, the transition from the Earth-centered cosmos to a modern understanding of planetary orbits.
The description for this book, The How and the Why, will be forthcoming.
Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.
Handy one-volume edition. Part I considers general foundations of theory of functions; Part II stresses special and characteristic functions. Proofs given in detail. Introduction. Bibliographies.