Das vorliegende Buch gibt eine Einführung in die Grundgedanken der modernen algebraischen Zahlentheorie, einer der traditionsreichsten und gleichzeitig heute besonders aktuellen Grunddisziplinen der Mathematik.
From the original hard cover edition:In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem.
In this appealing and well-written text, Richard Bronson starts with the concrete and computational, and leads the reader to a choice of major applications.
Giving an easily accessible elementary introduction to the algebraic theory of quadratic forms, this book covers both Witt's theory and Pfister's theory of quadratic forms.
Often perceived as dry and abstract, homological algebra nonetheless has important applications in a number of important areas, including ring theory, group theory, representation theory, and algebraic topology and geometry.
This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology du ring the last 25 years.
Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed.
This volume contains research papers in mathematical logic, particularly in model theory and its applications to algebra and formal theories of arithmetic.
La varietà e l’interesse dei contributi alla Lettera Matematica Pristem hanno spinto i curatori, d’accordo con il comitato di redazione, a proporre in questa raccolta alcuni articoli apparsi sulla rivista dalla sua fondazione ad oggi.
Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.
The computation of invariants of algebraic number fields such as integral bases, discriminants, prime decompositions, ideal class groups, and unit groups is important both for its own sake and for its numerous applications, for example, to the solution of Diophantine equations.
It is fairly well known that one of Hilbert's famous list of problems is that of developing an axiomatic theory of mathematical probability theory (this problem could be said to have been solved by Khintchine, Kolmogorov, andLevy), and also among the list is the "e;axiomatization of physics.
Inzwischen liegt, erneut gründlich überarbeitet und aktualisiert, die sechste Auflage dieses Lehrbuchs vor, das auch der geschichtlichen Entwicklung der Zahlentheorie besondere Aufmerksamkeit schenkt.
The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects.
Das Buch vermittelt logisches Grundwissen, fundamentale Beweisprinzipien, Methoden und Einsichten, welche jede Mathematikerin/jeder Mathematiker besitzen sollte.
In 2013, a little known mathematician in his late 50s stunned the mathematical community with a breakthrough on an age-old problem about prime numbers.
In 2013, a little known mathematician in his late 50s stunned the mathematical community with a breakthrough on an age-old problem about prime numbers.
In this essential, Claudia Alfes-Neumann discusses applications of the theory of modular forms and their importance as fundamental tools in mathematics.
In this essential, Claudia Alfes-Neumann discusses applications of the theory of modular forms and their importance as fundamental tools in mathematics.