Catálogo de publicaciones - libros
Mathematical Masterpieces: Further Chronicles by the Explorers
Arthur Knoebel Jerry Lodder Reinhard Laubenbacher David Pengelley
Resumen/Descripción – provisto por la editorial
No disponible.
Palabras clave – provistas por la editorial
History of Mathematical Sciences; Algorithms; Differential Geometry; Number Theory
Disponibilidad
| Institución detectada | Año de publicación | Navegá | Descargá | Solicitá |
|---|---|---|---|---|
| No detectada | 2007 | SpringerLink |
Información
Tipo de recurso:
libros
ISBN impreso
978-0-387-33061-7
ISBN electrónico
978-0-387-33062-4
Editor responsable
Springer Nature
País de edición
Reino Unido
Fecha de publicación
2007
Información sobre derechos de publicación
© Springer 2007
Cobertura temática
Tabla de contenidos
The Bridge Between Continuous and Discrete
Arthur Knoebel; Jerry Lodder; Reinhard Laubenbacher; David Pengelley
In the early 1730s, Leonhard Euler (1707-1783) astonished his contemporaries by solving one of the most burning mathematical puzzles of his era:
Pp. 1-82
Solving Equations Numerically: Finding Our Roots
Arthur Knoebel; Jerry Lodder; Reinhard Laubenbacher; David Pengelley
is one of the most widely used algorithms in computers today, from the guidance systems for rockets to the calculation of orbits of heavenly bodies.
Pp. 83-157
Curvature and the Notion of Space
Arthur Knoebel; Jerry Lodder; Reinhard Laubenbacher; David Pengelley
On June 10, 1854, at the University of Göttingen, in a lecture that nearly did not occur, Georg Friedrich Bernhard Riemann (1826-1866) proposed a visionary concept for the study of space [223, pp. 132-133]. To obtain the position of an unsalaried lecturer (Privatdozent) in the German university system, Riemann was required to submit an inaugural paper (Habilitationsschrift) as well as to present an inaugural lecture (Habilitationsvortrag).
Pp. 159-227
Patterns in Prime Numbers: The Quadratic Reciprocity Law
Arthur Knoebel; Jerry Lodder; Reinhard Laubenbacher; David Pengelley
The ancient Greek philosopher Empedocles (c. 495-c. 435 b.c.e.) postulated that all known substances are composed of four basic elements: air, earth, .re, and water. Leucippus (.fth century b.c.e.) thought that these four were indecomposable. And Aristotle (384-322 b.c.e.) introduced four properties that characterize, in various combinations, these four elements: for example, .re possessed dryness and heat.
Pp. 229-322