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Summing It Up: From One Plus One to Modern Number Theory

by Avner Ash and Robert Gross

We use addition on a daily basis--yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research. Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.

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Summing it up book cover

Avner Ash and Robert Gross
Mathematics Department

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