Mathematical Notes

In the summer semester of 1897 David Hilbert (1862–1943) gave an introductory course in Invariant Theory at the University of Gottingen. This book is an English translation of the handwritten notes taken from this course by Hilbert's student Sophus Marxen. The year 1897 was the perfect time for Hilbert to present an introduction to invariant theory as his research in the subject had been completed. His famous finiteness theorem had been proved and published in two papers that changed the course of invariant theory dramatically and that laid the foundation for modern commutative algebra. Thus these lectures take into account both the old approach of his predecessors and his newer ideas. This bridge from nineteenth- to twentieth-century mathematics makes these lecture notes a special and fascinating account of invariant theory. Hilbert's course was given at a level accessible to graduate students in mathematics, requiring only a familiarity with linear algebra and the basics of ring and

This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "Automorphic Forms and L-Functions", held at the University of Heidelberg in 2016

Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and difference equations, whose right-hand side is explicitly time dependent. Over recent years, the theory of su

This series reports on new developments in mathematical economics, economic theory, econometrics, operations research, and mathematical systems.Manuscripts should be no less than 150 and preferably no

This series reports on new developments in mathematical economics, economic theory, econometrics, operations research, and mathematical systems.This book presents a methodological approach for the joi

This volumecomprisesthe proceedingsof the 8th InternationalConferenceon M- tiple Objective and Goal Programming: Theories and Applications (MOPGP08). ThisconferencewasheldinPortsmouth,UnitedKingdomont

This book analyzes the existence of equilibria in economies having a measured space of agents and a continuum of agents and commodities. Excessive homogeneity with respect to agent productivity leads

Economic, marketing, and legislative considerations are increasingly leading companies to take back and recover their products after use. From a logistics perspective, these initiatives give rise to n

This volume synthesizes theoretical and practical aspects of both the mathematical and life science viewpoints needed for modeling of the cardiovascular-respiratory system specifically and physiologic

This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelber

This book examines the problem of maintenance planning and scheduling in industrial production systems. It presents two practically relevant, deterministic mathematical models: the capacitated planned

This volume features contributions to agent-based computational modeling from the social sciences and computer sciences. It presents applications of methodologies and tools, focusing on the uses, requ

The integration of product recovery into regular production processes enables new opportunities for cost savings. In case of a dynamic planning situation, for instance when dealing with seasonality or

The book investigates bargaining between two agents. It presents the history of bargaining analysis from Francis Y. Edgeworth's first formal study, followed by cooperative and noncooperative game-theo

Experts in operations research and developers of softwareapplication systems have been treading separate paths formany years. It is urgently necessary to reset this course sothat the demanding require

These lectures aim to help readers understand the logics and nature of the main indicators of inequality and poverty, with special attention to their social welfare underpinnings. The key approach con

This monograph deals with theoretical and practical aspects of creating course timetables at academic institutions. The task is typically to create a timetable that suits the requirements of the stake

This book deals with dynamic and stochastic methods for multi-project planning. Based on the idea of using queueing networks for the analysis of dynamic-stochastic multi-project environments this book

Designed for the non-specialist, this classic text by a world expert is an invaluable reference tool for those interested in a basic understanding of the subject. Exercises, notes and exhaustive references follow each chapter, making it outstanding both as a text and reference for graduate students and researchers in graph theory and its applications. The author approaches the subject with a lively writing style. The reader will delight to discover that the topics in this book are coherently unified and include some of the deepest and most beautiful developments in graph theory.

This volume compiles notes from four mini courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It contains an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity. Accessible to graduate students, these notes gather results that were not previously available in textbooks or monographs and will be of wider interest to researchers in general relativity. The topics of these mini courses are: the geometry of black hole spacetimes; an introduction to quantum field theory on curved spacetimes; conformal geometry and tractor calculus; and microlocal analysis for wave propagation.

This set of notes, for graduate students who are specializing in algebraic topology, adopts a novel approach to the teaching of the subject. It begins with a survey of the most beneficial areas for study, with recommendations regarding the best written accounts of each topic. Because a number of the sources are rather inaccessible to students, the second part of the book comprises a collection of some of these classic expositions, from journals, lecture notes, theses and conference proceedings. They are connected by short explanatory passages written by Professor Adams, whose own contributions to this branch of mathematics are represented in the reprinted articles.

One of the main aims of management accounting is to provide managers with accurate information in order to provide a good basis for decision-making. There is evidence that the information provided by

The presented work combines two areas of research: cooperative game theory and lot size optimization. One of the most essential problems in cooperations is to allocate cooperative profits or costs amo

This book describes a laboratory experiment designed to test the causes and properties of bubbles in financial markets and explores the question whether it is possible to design markets which avoid su

This book addresses production and inventory management problems where products can be replaced by specified substitutes. Depending on the considered application, substitutions can potentially improve

In recent years, agent-based simulation has become a widely accepted tool when dealing with complexity in economics and other social sciences. The contributions presented in this book apply agent-base

The author derives an efficient and accurate pricing tool for interest-rate derivatives within a Fourier-transform based pricing approach, which is generally applicable to exponential-affine jump-diff

The theory on the evolution of preferences deals with the endogenous formation of preference relations in strategic situations. It is related to the field of evolutionary game theory. In this book we

With a few simple tools and a surprisingly small number of parts, mathematics instructors from around the US present ways to make historical instruments and learning devices, producing labyrinths, Nap

This book summarizes a set of lectures given at U.C. Berkeley in the Fall of 2001, highlighting the connection between traffic flow, queuing systems and supply chains. The book unveils the root causes

Beginning with art and culminating mathematics itself, this book discusses many applications of geometric ideas from ancient to modern times. Each chapter is written by a leading expert or pioneer in

Vita Mathematica will enable college teachers to learn the relevant history of various topics in the undergraduate curriculum and help them incorporate this history in their teaching. It contains nume

This book is devoted to the study of dynamical models of decentralized economic systems. The models considered are based on the Leontief simple dynamic model with various mechanisms for decentralized

A survey of the state of the art of deterministic resource-constrained project scheduling with time windows. General temporal constraints and several different types of limited resources are considere

The class of interest rate models introduced by O. Cheyette in 1994 is a subclass of the general HJM framework with a time dependent volatility parameterization. This book addresses the above mentione

Retail shelf management means cost-efficiently aligning retail operations with consumer demand. As consumers expect high product availability and low prices, and retailers are constantly increasing pr

This book considers the one-factor copula model for credit portfolios that are used for pricing synthetic CDO structures as well as for risk management and measurement applications involving the gener