21 Nov 2019

Tag: Pure Mathematics

Elementary Functional Analysis
Mathematics

Elementary Functional Analysis 

This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of general topology or Lebesgue integration is not required. The book explains the principles and applications…

Logica: Metodo Breve (UNITEXT) (Italian Edition)
Mathematics

Logica: Metodo Breve (UNITEXT) (Italian Edition) 

Senza richiedere prerequisiti il testo si propone di fornire una dimostrazione dei fondamentali teoremi della logica matematica (compattezza, completezza di Gödel, Löwenheim-Skolem) introducendo i concetti sintattici e semantici in modo progressivo, dalla logica booleana a quella predicativa. Per facilitare la lettura attiva, il testo contiene…

Elemental Methods in Ergodic Ramsey Theory
Mathematics

Elemental Methods in Ergodic Ramsey Theory 

This book, suitable for graduate students and professional mathematicians alike, didactically introduces methodologies due to Furstenberg and others for attacking problems in chromatic and density Ramsey theory via recurrence in topological dynamics and ergodic theory, respectively. Many standard results are proved, including the classical theorems…

Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms (Springer Monographs in Mathematics)
Mathematics

Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms (Springer Monographs in Mathematics) 

This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. The material that is essential to the subject is presented in sufficient detail, including necessary background on pseudodifferential operators, Lie algebras, etc., to make it accessible also…