Quarter-eagle. — Similar to the quarter-eagle of 1797, but with thirteen instead of sixteen stars. Size 13.
Quarter-eagle. — Similar to the quarter-eagle of 1797, but with thirteen instead of sixteen stars. Size 13.
Monetary Systems, Great Britain; France; Belgium; Switzerland; Italy; Germany; North Germany; South Germany; Hanse Towns; Austria; Holland; Sweden and Norway; Denmark; Russia; Greece; Spain; Portugal; Turkish Empire; Egypt; United States of America; British North America; Mexico; West Indies; Central America; South American Rcpublic; Brazil; La Plata States; Africa Barbary States; West Coast of Africa; East Coast of Africa; Abyssinia; Persia; India; Singapore; Burmah; Siam; Cochin China; Dutch Possession: (Java); Philippine Islands
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The primary purpose of this book is to present some of the key economic concepts that have guided economic thinking in the last century and to identify which of these concepts will continue to direct economic thought in the coming decades. This book is written in an accessible manner and is intended for a wide audience with little or no formal training in economics. It should also interest economists who want to reflect on the direction of the discipline and to learn concepts and achievements in other subfields. The author imparts his enthusiasm for the economic way of reasoning and its wide applicability. Through the abundant use of illustrations and examples, the author makes concepts understandable and relevant. Topics covered include game theory, the new institutional economics, market failures, asymmetric information, endogenous growth theory, general equilibrium, rational expectations, and others.
Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first integrated treatment of sequences generated by 'finite automata'. The authors apply the theory to the study of automatic sequences and their generalizations, such as Sturmian words and k-regular sequences. And further, they provide applications to number theory (particularly to formal power series and transcendence in finite characteristic), physics, computer graphics, and music. Starting from first principles wherever feasible, basic results from combinatorics on words, numeration systems, and models of computation are discussed. Thus this book is suitable for graduate students or advanced undergraduates, as well as for mature researchers wishing to know more about this fascinating subject. Results are presented from first principles wherever feasible, and the book is supplemented by a collection of 460 exercises, 85 open problems, and over 1600 citations to the literature.
This 2003 book presents min-max methods through a study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led from the most accessible results to the forefront of the theory, and at each step in this walk between the hills, the author presents the extensions and variants of the MPT in a complete and unified way. Coverage includes standard topics, but it also covers other topics covered nowhere else in book form: the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. Each chapter has a section with supplementary comments and bibliographical notes, and there is a rich bibliography and a detailed index to aid the reader. The book is suitable for researchers and graduate students. Nevertheless, the style and the choice of the material make it accessible to all newcomers to the field.
Thoroughly revised and updated, this textbook provides a pedagogical introduction to relativity. It is self-contained, but the reader is expected to have a basic knowledge of theoretical mechanics and electrodynamics. It covers the most important features of both special and general relativity, as well as touching on more difficult topics, such as the field of charged pole-dipole particles, the Petrov classification, groups of motions, gravitational lenses, exact solutions and the structure of infinity. The necessary mathematical tools (tensor calculus, Riemannian geometry) are provided, most of the derivations are given in full, and exercises are included where appropriate. Written as a textbook for undergraduate and introductory graduate courses, it will also be of use to researchers working in the field. The bibliography gives the original papers and directs the reader to useful monographs and review papers.
Bringing together the key ideas from nonequilibrium statistical mechanics and powerful methodology from quantum field theory, this book captures the essence of nonequilibrium quantum field theory. Beginning with the foundational aspects of the theory, the book presents important concepts and useful techniques, discusses issues of basic interest, and shows how thermal field, linear response, kinetic theories and hydrodynamics emerge. It also illustrates how these concepts and methodology are applied to current research topics including nonequilibrium phase transitions, thermalization in relativistic heavy ion collisions, the nonequilibrium dynamics of Bose-Einstein condensation, and the generation of structures from quantum fluctuations in the early Universe. Divided into five parts, with each part addressing a particular stage in the conceptual and technical development of the subject, this self-contained book is a valuable reference for graduate students and researchers in particle physics, gravitation, cosmology, atomic-optical and condensed matter physics.