The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities Tapa blanda - 2004

This lively, problem-oriented text is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hˆlder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.

Detalles

• Título The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities
• Autor J. Michael Steele
• Encuadernación Tapa blanda
• Edición US soft cover ed
• Páginas 318
• Volúmenes 1
• Idioma ENG
• Editorial Mathematical Association of America (MAA), New York
• Fecha de publicación 2004-04-26
• Ilustrado Sí
• ISBN 9780521546775 / 052154677X
• Peso 0.94 libras (0.43 kg)
• Dimensiones 8.86 x 6.42 x 0.59 pulgadas (22.50 x 16.31 x 1.50 cm)
• Library of Congress subjects Inequalities (Mathematics)
• Número de catálogo de la Librería del Congreso de EEUU 2004040402
• Dewey Decimal Code 512.97