By Alain M. Robert
Discovered on the flip of the 20th century, p-adic numbers are often utilized by mathematicians and physicists. this article is a self-contained presentation of easy p-adic research with a spotlight on analytic themes. It deals many positive factors hardly taken care of in introductory p-adic texts comparable to topological versions of p-adic areas within Euclidian house, a different case of Hazewinkel’s useful equation lemma, and a remedy of analytic elements.
Read Online or Download A Course in p-adic Analysis (Graduate Texts in Mathematics) PDF
Similar number theory books
Tutti conoscono los angeles “successione di Fibonacci”: una sequenza di cifre nascosta in molti fenomeni naturali che da oltre ottocento anni affascina i matematici, e che si cube possa predire l’andamento dei mercati finanziari. Ma chi fu in realtà Fibonacci, considerato il maggiore matematico del Medioevo, che comprese in keeping with primo che le “nove determine indiane” e soprattutto zephirum, lo zero,avrebbero cambiato il mondo in cui viveva?
Within the spirit of Alladi Ramakrishnan’s profound curiosity and contributions to 3 fields of technology — arithmetic, information, and Physics — this quantity comprises invited surveys and examine articles from well-known contributors of those groups who additionally knew Ramakrishnan individually and enormously revered his impact in those parts of technology.
"Springer has simply published the second one variation of Steven Roman’s box idea, and it is still the best graduate-level introductions to the topic available in the market. .. .Every component of the booklet has a couple of strong workouts that might make this e-book first-class to take advantage of both as a textbook or to profit the cloth by yourself.
This booklet provides a style for comparing Selberg zeta features through move operators for the whole modular staff and its congruence subgroups with characters. learning zeros of Selberg zeta services for personality deformations permits us to entry the discrete spectra and resonances of hyperbolic Laplacians lower than either singular and non-singular perturbations.
- Einführung in die Zahlentheorie (Springer-Lehrbuch) (German Edition)
- Rainbow Connections of Graphs (SpringerBriefs in Mathematics)
- Arithmetic Geometry: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007 (Lecture Notes in Mathematics)
- Bernoulli Numbers and Zeta Functions (Springer Monographs in Mathematics)
- The food of the Degree's and Radian 1: Mathematics is your Food
Extra resources for A Course in p-adic Analysis (Graduate Texts in Mathematics)
A Course in p-adic Analysis (Graduate Texts in Mathematics) by Alain M. Robert