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Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and...

Various methods for asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansion.

This concise text focuses on the convergence of real series. Topics include functions and limits, real sequences and series, series of non-negative terms, general series, series of functions, the multiplication...

**A teenage genius and his teacher take readers on a wild ride to the extremes of mathematics**

Everyone has stared at the crumpled page of a math assignment and wondered, where on Earth will I ever use this? It...

**A mind-expanding and funny trip to the edge of mathematics**

How big is the universe? How many numbers are there? And is infinity + 1 is the same as 1 + infinity? Such questions occur to young children and our...

**A mind-expanding and funny trip to the edge of mathematics**

How big is the universe? How many numbers are there? And is infinity + 1 is the same as 1 + infinity? Such questions occur to young children and our...

**Incredible discoveries from the fringes of the universe to the inner workings of our minds—all from nothing!**

It turns out that almost nothing is as curious—or as enlightening—as, well, nothing. What is...

**A successful science writer and a teenage math prodigy reveal the complex mathematics that is all around us **

Almost everyone has stared at crumpled pages of a math homework assignment and wondered, where on...