Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential and integral calculus, and includes a wealth of useful and relevant examples, exercises, and results enlightening the reader to the power of mathematical tools. The intended audience consists of advanced undergraduates studying mathematics or computer science. The author provides excursions from the standard topics to modern and exciting topics, to illustrate the fact that even first or second year students can understand certain research problems. The text has been divided into ten chapters and covers topics on sets and numbers, linear spaces and metric spaces, sequences and series of numbers and of functions, limits and continuity, differential and integral calculus of functions of one or several variables, constants (mainly pi) and algorithms for finding them, the W - Z method of summation, estimates of algorithms and of certain combinatorial problems. Many challenging exercises accompany the text. Most of them have been used to prepare for different mathematical competitions during the past few years. In this respect, the author has maintained a healthy balance of theory and exercises.
Product Identifiers
Publisher
Springer-Verlag New York Inc.
ISBN-13
9780387789323
eBay Product ID (ePID)
94748093
Product Key Features
Author
Marian Muresan
Publication Name
A Concrete Approach to Classical Analysis
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2008
Type
Textbook
Number of Pages
433 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Item Weight
840g
Additional Product Features
Title_Author
Marian Muresan
Series Title
Cms Books in Mathematics
Country/Region of Manufacture
United States
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