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Algorithmic Algebraic Number Theory
Now in paperback, this classic book is addresssed to all lovers of number theory. On the one hand, it gives a comprehensive introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. On the other hand many parts go beyond an introduction an make the user familliar with recent research in the field. For experimental number theoreticians new methods are developed and new results are obtained which are of great importance for them. Both computer scientists interested in higher arithmetic and those teaching algebraic number theory will find the book of value.
Narcissism and Politics
This book analyzes narcissism and politics and systematically explores the psychology of narcissism - the entitlement, the grandiosity and arrogance overlying insecurity, the sensitivity to criticism, and the hunger for acclaim - illustrating different narcissistic personality features through a spectrum of international and national politicians.
Orthogonal Decompositions and Integral Lattices
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Cear , Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, Unive...
Computation with Finitely Presented Groups
Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is described as a generalisation of Buchberger's Gröbner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups and theoretical computer scientists will find this book useful.
The Wonderful Fluffy Little Squishy
One morning, Eddie wakes up and hears her little sister say these words: birthday--mama--present--fluffy--little--squishy. Worried that her sister will find one before she does, Eddie runs off on a hunt. But where should she begin? At the neighborhood shops, maybe? Eddie's search, magical and entirely her own, leads her just where she needs to go.
Representations and Invariants of the Classical Groups
More than half a century has passed since Weyl's 'The Classical Groups' gave a unified picture of invariant theory. This book presents an updated version of this theory together with many of the important recent developments. As a text for those new to the area, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.
Discriminant Equations in Diophantine Number Theory
The first comprehensive and up-to-date account of discriminant equations and their applications. For graduate students and researchers.
Solving Polynomial Equation Systems I
Computational algebra; computational number theory; commutative algebra; handbook; reference; algorithmic; modern.
DSP for Embedded and Real-Time Systems
This book includes a range of techniques for developing digital signal processing code; tips and tricks for optimizing DSP software; and various options available for constructing DSP systems from numerous software components.
