عنوان
پدید آورنده
موضوع
رده
QA300 .A18 2015
QA300
.
A18
2015
کتابخانه
محل استقرار
1493927116
9781493927111
9781493927128
b623746
Understanding analysis /
[Book]
Stephen Abbott.
Second edition.
xii, 312 pages :
illustrations ;
25 cm.
Undergraduate texts in mathematics,
0172-6056
Includes bibliographical references (pages 305-306) and index.
The real numbers -- Sequences and series -- Basic topology of R -- Functional limits and continuity -- The derivative -- Sequences and series of functions -- The Riemann integral -- Additional topics.
0
This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.
Mathematical analysis.
Analysis
Mathematical analysis.
Mathematics.
Mathematics.
QA
515
23
QA300
.
A18
2015
Abbott, Stephen,1964-
20200617082848.0
rda
مطالعه متن کتاب [Book]
Y
