Name: Functions of a Real Variable: Elementary Theory (en Inglés)
Price: 2707.54 MXN
Availability: InStock
Author: Spain, P. ; Bourbaki, N.
ISBN: 9783642639326

Envío gratis

portada Functions of a Real Variable: Elementary Theory (en Inglés)

Formato

Libro Físico

Autor

N. Bourbaki

Editorial

Springer

Idioma

Inglés

N° páginas

338

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 1.9 cm

Peso

0.50 kg.

ISBN13

9783642639326

Categorías

Análisis funcional y transformaciones
Geometría
Probabilidad y estadística

Functions of a Real Variable: Elementary Theory (en Inglés)

N. Bourbaki (Autor) · Springer · Tapa Blanda

Libro Físico

$ 2,707.54

$ 4,922.79

Ahorras: $ 2,215.26

45% descuento

Envío normal

Origen: Estados Unidos (Costos de importación incluídos en el precio)

Se enviará desde nuestra bodega entre el Viernes 14 de Junio y el Jueves 27 de Junio.

Lo recibirás en cualquier lugar de México entre 1 y 3 días hábiles luego del envío.

Reseña del libro "Functions of a Real Variable: Elementary Theory (en Inglés)"

This book is an English translation of the last French edition of Bourbaki's Fonctions d'une Variable Réelle. The first chapter is devoted to derivatives, Taylor expansions, the finite increments theorem, convex functions. In the second chapter, primitives and integrals (on arbitrary intervals) are studied, as well as their dependence with respect to parameters. Classical functions (exponential, logarithmic, circular and inverse circular) are investigated in the third chapter. The fourth chapter gives a thorough treatment of differential equations (existence and unicity properties of solutions, approximate solutions, dependence on parameters) and of systems of linear differential equations. The local study of functions (comparison relations, asymptotic expansions) is treated in chapter V, with an appendix on Hardy fields. The theory of generalized Taylor expansions and the Euler-MacLaurin formula are presented in the sixth chapter, and applied in the last one to the study of the Gamma function on the real line as well as on the complex plane. Although the topics of the book are mainly of an advanced undergraduate level, they are presented in the generality needed for more advanced purposes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.