![Introduction to Calculus and Classical Analysis (3rd edition) [Repost]](https://pixhost.icu/avaxhome/88/32/004c3288_medium.jpg)
Introduction to Calculus and Classical Analysis (3rd edition) [Repost]
![Introduction to Calculus and Classical Analysis (3rd edition) [Repost]](https://pixhost.icu/avaxhome/88/32/004c3288.jpg)
Omar Hijab - Introduction to Calculus and Classical Analysis (3rd edition)
Published: 2011-04-06 | ISBN: 1441994874 | PDF | 364 pages | 5.64 MB
This text is intended for an honors calculus course or for an introduction toВ analysis. Involving rigorous analysis, computational dexterity, and a breadth ofВ applications, it is ideal for undergraduate majors. This third edition includesВ corrections as well as some additional material.
Some features of the text include: The text is completely self-contained and starts with the real numberВ axioms; The integral is defined as the area under the graph, while the area isВ defined for every subset of the plane; There is a heavy emphasis on computational problems, from the high-schoolВ quadratic formula to the formula for the derivative of the zeta function atВ zero; There are applications from many parts of analysis, e.g., convexity, theВ Cantor set, continued fractions, the AGM, the theta and zeta functions,В transcendental numbers, the Bessel and gamma functions, and many more; Traditionally transcendentally presented material, such as infiniteВ products, the Bernoulli series, and the zeta functional equation, is developedВ over the reals; and There are 385 problems with all the solutions at the back of the text.