Summing It Up

preview-18
  • Summing It Up Book Detail

  • Author : Avner Ash
  • Release Date : 2018-01-30
  • Publisher : Princeton University Press
  • Genre : Mathematics
  • Pages : 248
  • ISBN 13 : 0691178518
  • File Size : 59,59 MB

Summing It Up by Avner Ash PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Summing It Up books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Summing It Up

Summing It Up

File Size : 40,40 MB
Total View : 4756 Views
DOWNLOAD

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

A Summing Up

File Size : 64,64 MB
Total View : 9001 Views
DOWNLOAD

"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

Summing Up

File Size : 82,82 MB
Total View : 1379 Views
DOWNLOAD

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

Philosophy of Love

File Size : 71,71 MB
Total View : 3824 Views
DOWNLOAD

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

The Summing Up

File Size : 68,68 MB
Total View : 7428 Views
DOWNLOAD

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