This book is an introduction to a rapidly growing subject of modern mathematics, the Kac-Moody algebra, which was introduced by V Kac and R Moody simultanously and independently in 1968.
Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs.
Whereas many partial solutions and sketches for the odd-numbered exercises appear in the book, the Student Solutions Manual, written by the author, has comprehensive solutions for all odd-numbered exercises and large number of even-numbered exercises.
Das Buch ist das erste umfassende deutschsprachige Lehrbuch zur Computeranimation, das sich speziell an Studierende der Informatik und der Ingenieurwissenschaften richtet, die ihr Verständnis der mathematischen Grundlagen und Algorithmen dieses spannenden Gebiets vertiefen wollen.
This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory.
Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas.
In diesem Buch stellen wir die mehr als 500 Aufgaben des Lehrbuchs Höhere Mathematik in Rezepten (dritte Auflage) des gleichen Autors mit Lösungen zusammen.
Analytic Properties of Automorphic L-Functions is a three-chapter text that covers considerable research works on the automorphic L-functions attached by Langlands to reductive algebraic groups.
Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects.
In diesem Buch stellen wir die mehr als 500 Aufgaben des Lehrbuchs Höhere Mathematik in Rezepten (dritte Auflage) des gleichen Autors mit Lösungen zusammen.
This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups.
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One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings.
This book contains 296 exercises and solutions covering a wide variety of topics in linear model theory, including generalized inverses, estimability, best linear unbiased estimation and prediction, ANOVA, confidence intervals, simultaneous confidence intervals, hypothesis testing, and variance component estimation.
This book presents several results on elliptic functions and Pi, using Jacobi's triple product identity as a tool to show suprising connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan's work on Pi.
It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to 20 pages) generalizations to (mostly modular) lattices.
Dieses Buch ist als Einführung in MATHCAD für Anfänger, als Übungsbuch neben Mathematikvorlesungen und als umfassendes Handbuch zum Nachschlagen geeignet.
This book gathers, in a beautifully structured way, recent findings on chain conditions in commutative algebra that were previously only available in papers.
This book provides a comprehensive exposition of the use of set-theoretic methods in abelian group theory, module theory, and homological algebra, including applications to Whitehead's Problem, the structure of Ext and the existence of almost-free modules over non-perfect rings.
Die algorithmische Graphentheorie ist ein Bereich der Informatik, der sich mit der Entwicklung und Analyse von Algorithmen für Probleme befasst, welche mithilfe von Graphen modelliert werden.
This book contains a collection of exercises (called "e;tapas"e;) at undergraduate level, mainly from the fields of real analysis, calculus, matrices, convexity, and optimization.
North-Holland Mathematical Library, Volume 13: Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a function.
This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras.
These are the proceedings of the conference "e;Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics"e; held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999.
