This book seeks to explain the authors joint work with Manjul Bhargava in a fun and accessible way. On its face, the subject matter concerns properties of number fields, namely the shape (literally and mathematically) of their rings of integers. The...Daugiau...
The monograph cuts a particular path through this extensive theory and describes the theory in its current form for three families of continued fractions, namely, -continued fractions, N-continued fractions, and generalized Rényi continued fractions...Daugiau...
This volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals. It includes both original research contributions, as well as surveys from many of the leading experts on modern fractal g...Daugiau...
This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic. Readers will better understand how the methods of Euler systems and Kolyvagin systems can be adapted to...Daugiau...
Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today. Utilizing a multidisciplinary approa...Daugiau...
This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hilbert-Samuel formula and the equidistribution the...Daugiau...
This contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how these areas are rapidly evolving. By gathering auth...Daugiau...
Selbstverständlich werden mit Abzählmethoden und Graphen auch klassische Themen der Diskreten Mathematik diskutiert.Zahlreiche Beispiele und Übungsaufgaben bieten eine optimale Vertiefung zum Verständnis der Materie an....Daugiau...
This textbook invites readers to explore mathematical thinking by finding the beauty in the subject. With an accessible tone and stimulating puzzles, the author will convince curious non-mathematicians to continue their studies in the area. It has...Daugiau...
The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. This broad coverage will help generate new ideas to solve various challenges that face researchers in pure mathematics...Daugiau...
Ši knyga nebeleidžiama, tačiau mes Jums pranešime naudoto egzemplioriaus kainą
This textbook invites readers to explore mathematical thinking by finding the beauty in the subject. With an accessible tone and stimulating puzzles, the author will convince curious non-mathematicians to continue their studies in the area. It has...Daugiau...
The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. This broad coverage will help generate new ideas to solve various challenges that face researchers in pure mathematics...Daugiau...
Dieses Buch behandelt die Grundlagen der Algebra und der elementaren Zahlentheorie. Nach einem längeren Ausflug in die Gruppentheorie bis zum Sylow-Satz und den auflösbaren Gruppen wird die Idee der Galoistheorie exemplarisch an der Frage der Auflös...Daugiau...
This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader t...Daugiau...
This book contains selected papers based on talks given at the Representation Theory, Number Theory, and Invariant Theory conference held at Yale University from June 1 to June 5, 2015. The meeting and this resulting volume are in honor of Pro...Daugiau...
This lecture notes volume presents significant contributions from the Algebraic Geometry and Number Theory Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014.It addresses subjects ranging from Arakelov geometry and I...Daugiau...
This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on mod...Daugiau...
This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Bedlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction be...Daugiau...
Classically developed as a tool for partial differential equations, the analysis of operators known as pseudodifferential analysis is here regarded as a possible help in questions of arithmetic. The operators which make up&nb...Daugiau...
This volume presents original research articles and extended surveys related to the mathematical interest and work of Jean-Michel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impa...Daugiau...