Summing It Up

Summing It Up

Summing It Up

Editorial: Princeton

Pàgines: 226

Any: 2016

EAN: 9780691170190

28,20 €
    No disponible ara a

    Temps d'entrega:
    De 2 a 3 setmanes.
    • - La Central del MUHBA
    • - La Central del Raval
    • - La Central (c/ Mallorca)
    • - La Central de Callao
    • - La Central del Museo Reina Sofía
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. 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).
Les cookies són importants per a tu, influeixen en la teva experiència de navegació, ens ajuden a protegir la teva privadesa i permeten realitzar les peticions que ens sol·licitis a través de la web. Utilitzem cookies pròpies i de tercers per analitzar els nostres serveis i mostrar publicitat relacionada amb les teves preferències en base a un perfil elaborat amb els teus hàbits de navegació (per exemple pàgines visitades). Si consentiu la vostra instal·lació prem "Acceptar cookies", o també pots configurar les teves preferències aquí. Més informació a la nostra Política de cookies