Introduction to Calculus and Classical Analysis, 3rd Edition (repost)
Introduction to Calculus and Classical Analysis, 3rd Edition by O. Hijab
English | 2011 | ISBN: 1441994874 | 538 pages | PDF | 5,6 MB
English | 2011 | ISBN: 1441994874 | 538 pages | PDF | 5,6 MB
Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications.
The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by using sequences instead * 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, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book.