Hijab Introduction to Calculus and Classical Analysis

2. Auflage 2007
ISBN: 978-0-387-69316-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 352 Seiten, Web PDF

Reihe: Mathematics and Statistics (R0)

this text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. The book contains many remarkable features, including:

- complete avoidance of /epsilon-/delta arguments by instead using sequences
- definition of the integral as the area under the graph, while area is defined for EVERY subset of the plane
- complete avoidance of complex numbers
- heavy emphasis on computational problems
- applications from many parts of analysis
- 344 problems with solutions in the back of the book
- interesting applications, many of which are not usually found in advanced calculus books.

For this second edition, the author has corrected errors and rewritten large portions of the text. In addition, the author has introduced new topics, such as a combinatorial proof that the radius of convergence of the Bernoulli series is 2p.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Hijab, Omar

Inhaltsverzeichnis

The Set of Real Numbers.- Continuity.- Differentiation.- Integration.- Applications.