Summing It Up

Summing It Up
Author :
Publisher : Princeton University Press
Total Pages : 248
Release :
ISBN-10 : 9780691178516
ISBN-13 : 0691178518
Rating : 4/5 (518 Downloads)

Book Synopsis Summing It Up by : Avner Ash

Download or read book Summing It Up written by Avner Ash and published by Princeton University Press. This book was released on 2018-01-30 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The power and properties of numbers, from basic addition and sums of squares to cutting-edge theory 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. Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series—long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+. . .=? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms—the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem. Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.


Summing It Up Related Books

Summing It Up
Language: en
Pages: 248
Authors: Avner Ash
Categories: Mathematics
Type: BOOK - Published: 2018-01-30 - Publisher: Princeton University Press

DOWNLOAD EBOOK

The power and properties of numbers, from basic addition and sums of squares to cutting-edge theory We use addition on a daily basis—yet how many of us stop t
A Summing Up
Language: en
Pages: 256
Authors: Robert Eaker
Categories: Education
Type: BOOK - Published: 2020 - Publisher: Solution Tree

DOWNLOAD EBOOK

"In A Summing Up: Teaching and Learning in Effective Schools and PLCs at Work author Robert Eaker tells the story of his career in education and, through this s
Summing Up
Language: en
Pages: 208
Authors: Richard J. LIGHT
Categories: Education
Type: BOOK - Published: 2009-06-30 - Publisher: Harvard University Press

DOWNLOAD EBOOK

How can a scientist or policy analyst summarize and evaluate what is already known about a particular topic? This book offers practical guidance. The amount and
Philosophy of Love
Language: en
Pages: 145
Authors: Irving Singer
Categories: Philosophy
Type: BOOK - Published: 2011-01-07 - Publisher: MIT Press

DOWNLOAD EBOOK

The author of the classic philosophical treatment of love reflects on the trajectory, over decades, of his thoughts on love and other topics. In 1984, Irving Si
The Summing Up
Language: en
Pages: 210
Authors: W. Somerset Maugham
Categories: Fiction
Type: BOOK - Published: 2022-08-01 - Publisher: DigiCat

DOWNLOAD EBOOK

DigiCat Publishing presents to you this special edition of "The Summing Up" by W. Somerset Maugham. DigiCat Publishing considers every written word to be a lega