Artículos relacionados a Classical Analysis of Real-Valued Functions

Classical Analysis of Real-Valued Functions - Tapa blanda

Serov, V.S.

 
9781611977660: Classical Analysis of Real-Valued Functions
Tapa blanda
ISBN 10: 1611977665 ISBN 13: 9781611977660
Editorial: Society for Industrial & Applied Mathematics,U.S., 2023

Sinopsis

Divided into two self-contained parts, this textbook is an introduction to modern real analysis. More than 350 exercises and 100 examples are integrated into the text to help clarify the theoretical considerations and the practical applications to differential geometry, Fourier series, differential equations, and other subjects.

The first section of Classical Analysis of Real-Valued Functions covers the theorems of existence of supremum and infimum of bounded sets on the real line and the Lagrange formula for differentiable functions. Applications of these results are crucial for classical mathematical analysis, andmany are threaded through the text. In the second part of the book, the implicit function theorem plays a central role, while the Gauss–Ostrogradskii formula, surface integration, Heine–Borel lemma, the Ascoli–Arzelà theorem, and the one-dimensional indefinite Lebesgue integral are also covered.

This book is intended for students in the first and second years of classical universities majoring in pure and applied mathematics, but students of engineering disciplines will also gain important and helpful insights. It is appropriate for courses in mathematical analysis, functional analysis, real analysis, and calculus and can be used for self-study as well.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

V. S. Serov is Professor Emeritus at the University of Oulu in Finland, where he teaches courses focusing on various aspects of inverse problems. In 2008, he helped establish an annual scientific seminar on inverse problems. Earlier in his career, he taught at Moscow Lomonosov State University for many years.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Society for Industrial & Applied Mathematics,U.S.
Año de publicación
2023
Idioma
Inglés
ISBN 10 
1611977665
ISBN 13 
9781611977660
Encuadernación
Tapa blanda
Número de páginas
412
Contacto del fabricante
no disponible
Persona responsable
no disponible