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Título: Mathematical Analysis. Functions Of One Variable | |
Autor: Giaquinta Mariano/ Modica Giuseppe | Precio: $1630.00 | |
Editorial: Birkhauser | Año: 2003 | |
Tema: Matematicas, Teorias | Edición: 1ª | |
Sinopsis | ISBN: 9780817643126 | |
This self-contained work in mathematical analysis introduces the main ideas and fundamental methods of the subject, focusing on a simple and direct exposition of differential and integral calculus for functions of one variable with some of its applications.
Key features: * Interesting and valuable historical account of ideas and methods in analysis with beautiful illustrations * Topics: functions of one variable, differential and integral calculus, asymptotic expansion and inequalities, basic ordinary differential equations (including 1-dimensional motions, central motions, Kepler's laws and free and forced vibrations), and a discussion of elementary minimum principles in physics and geometry (such as refraction laws, Steiner's problem, isoperimetric problems, Dijkstra's algorithm for minimal connections in graphs); the preliminaries treat the real numbers, trigonometric functions and some elementary Cartesian geometry * Rigorous exposition with full proofs motivated by numerous examples * Exercises, comprehensive bibliography and index This work is a first step toward developing connections between analysis and other mathematical disciplines (e.g., topology and geometry) as well as physics and engineering. An excellent resource for self-study or for classroom use at the advanced undergraduate or graduate level. |