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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.
About the author
Avner Ash is professor of mathematics at Boston College.
Robert Gross is associate professor of mathematics at Boston College. They are the coauthors of
Elliptic Tales: Curves, Counting, and Number Theory and
Fearless Symmetry: Exposing the Hidden Patterns of Numbers (both Princeton).
Summary
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. Mathemat
Additional text
"Engaging and conversational, without losing accuracy or essential rigor."---Dominic Lanphier, The American Mathematical Monthly
Report
"The authors did a remarkable job in making some aspects of modern number theory very accessible to readers with only a minimal knowledge of mathematics, say a student who had a first calculus course. However, also mathematicians who do not have number theory as their main focus will enjoy this book."--Adhemar Bultheel, European Mathematical Society
