Mathematical Analysis

by Tom M. Apostol

It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

Genres: Mathematics, Textbooks, Academic, Calculus, Science, Nonfiction

512 pages, Paperback

First published January 1, 1957

Reviews

[Douglas]

Tom Apostol, who is still alive and ethusiastic about all kinds of mathematics, is well known for several textbooks on calculus at all levels. My first encounter was with his undergraduate text. I've had this book on my shelf for many years now and I regularly resort to it when I need clarification of points in analysis. Right now I'm using it as a reference for a study of what I call "Random Riemann Sums" wherein I am trying to combine my knowledge of Monte Carlo with analysis to better understand such things as sum distributions, partitions, bounded variation, etc. I find I can dip into Apostol's book more easily than other texts.

[Ross Lund]

Probably the only mathematical text I have ever read cover-to-cover. A very good introduction to Analysis as long as you already have some maths background. Naturally as a pure maths text it is very dry, with some positively arid sections, even for one interested in learning the subject.

[Curtis Penner]

Written in 1957, it has stood the test of time. It is still very good. Good explanations and proofs. This is an advanced Calculus book. I have read and enjoyed Apostol’s two Calculus books. I have also enjoyed this advanced calculus book.

[mariop :]]

en verdad solo me leí la parte de variable compleja y toda la parafernalia que lo acompaña (residuos, cauchy, métodos para resolver integrales reales llevándolo al cuerpo de los complejos…) pero siento que es una obra maestra para el análisis. el contenido es game changer y Apostol es el profeta

[Pratik Gurung]

Great book.

[Daniel Low]

An excellent text for my first-year analysis course.

[Juan Elías Millas Vera]

Notación relativamente sencilla. Muy autoexplicativo. Centrado en la teoría y con demostraciones de los teoremas. Merece la pena leerlo antes de leer otros manuales más modernos de Análisis.