Lyt når som helst, hvor som helst

Nyd den ubegrænsede adgang til tusindvis af spændende e- og lydbøger - helt gratis

  • Lyt og læs så meget du har lyst til
  • Opdag et kæmpe bibliotek fyldt med fortællinger
  • Eksklusive titler + Mofibo Originals
  • Opsig når som helst
Start tilbuddet
DK - Details page - Device banner - 894x1036

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

Sprog
Engelsk
Format
Kategori

Fakta

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.

© 2016 Princeton University Press (E-bog): 9781400880539

Release date

E-bog: 17. maj 2016

Andre kan også lide...

Vælg dit abonnement

  • Over 600.000 titler

  • Download og nyd titler offline

  • Eksklusive titler + Mofibo Originals

  • Børnevenligt miljø (Kids Mode)

  • Det er nemt at opsige når som helst

Flex

For dig som vil prøve Mofibo.

89 kr. /måned
  • 1 konto

  • 20 timer/måned

  • Gem op til 100 ubrugte timer

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Prøv gratis
Den mest populære

Premium

For dig som lytter og læser ofte.

129 kr. /måned
  • 1 konto

  • 100 timer/måned

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Start tilbuddet

Unlimited

For dig som lytter og læser ubegrænset.

149 kr. /måned
  • 1 konto

  • Ubegrænset adgang

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Start tilbuddet

Family

For dig som ønsker at dele historier med familien.

Fra 179 kr. /måned
  • 2-6 konti

  • 100 timer/måned pr. konto

  • Fri lytning til podcasts

  • Kun 39 kr. pr. ekstra konto

  • Ingen binding

2 konti

179 kr. /måned
Prøv gratis