عنوان

Real analysis for the undergraduate :

شابک

1461496373

شابک

9781461496373

شماره

dltt

عنوان اصلي

Real analysis for the undergraduate :

نام عام مواد

[Book]

ساير اطلاعات عنواني

with an invitation to functional analysis /

نام نخستين پديدآور

Matthew A. Pons with illustrations by Robert F. Allen.

نام خاص و کميت اثر

xviii, 409 pages :

ساير جزييات

illustrations ;

ابعاد

24 cm

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

1. The real numbers -- 2. Sequences in R -- 3. Numerical series -- 4. Continuity -- 5. The derivative -- 6. Sequences and series of functions -- 7. The Riemann integral -- 8. Lebesgue measure on R -- 9. Lebesgue integration.

بدون عنوان

0

متن يادداشت

This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. The author's engaging style makes advanced topics approachable without sacrificing rigor. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. Key features include: examples to reinforce theory; thorough explanations preceding definitions, theorems and formal proofs; illustrations to support intuition; over 450 exercises designed to develop connections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delve deeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate curriculum.

موضوع مستند نشده

Functional analysis.

موضوع مستند نشده

Global analysis (Mathematics)

موضوع مستند نشده

Mathematics.

شماره

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Pons, Matthew A.

مستند نام اشخاص تاييد نشده

Allen, Robert F.

تاريخ عمليات

20141211112819.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y