This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on combinatorics, and includes the important Robinson-Schensted-Knuth algorithm. Also covered are connections between symmetric functions and representation theory. An appendix by Sergey Fomin covers some deeper aspects of symmetric function theory, including jeu de taquin and the Littlewood-Richardson rule. As in Volume 1, the exercises play a vital role in developing the material. There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results. Graduate students and research mathematicians who wish to apply combinatorics to their
This is an illustrated history of the performance and reception of Shakespeare's plays on the German stage from the English Comedians in the late sixteenth century to the First World War. Simon Williams argues that the vision of Shakespeare first articulated by critics of Sturm und Drang and romanticism was only realised in practice with the productions of Max Reinhardt in the early twentieth century. The book focuses on the classical period of German literature and theatre, when Shakespeare's plays were first staged in Germany in a relatively complete form, and when they had a potent influence on the writings of German drama and dramatic criticism. Important contributions to the critical reception of Shakespeare in the late eighteenth century are discussed. Professor Williams describes the steady increase in productions of Shakespeare's plays during the nineteenth century, paying attention to textual adaptation, actors' interpretations of leading roles and, in the latter part of the b
This volume is based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research during the 1990s, with major breakthroughs that have illuminated the way a number of different subjects interact (for example: topology, differential and algebraic geometry and mathematical physics). The workshop brought together a number of distinguished figures to give lecture courses and seminars in these subjects; the volume that has resulted is the only expository source for much of the material, and will be essential for all research workers in geometry and mathematical physics.
The Science and Practice of Welding, now in its tenth edition and published in two volumes, is an introduction to the theory and practice of welding processes and their applications. Volume I, Welding Science and Technology, explains the basics principles of physics, chemistry and metallurgy as applied to welding. The section electrical principles includes a simple description of the silicone diode and resistor, the production and use of square wave, and one-knob stepless control of welding current. There is a comprehensive section on non-destructive testing (NDR) and destructive testing of welds and crack tip opening displacement testing. The text has been brought completely up to date and now includes a new chapter devoted to the inverter power unit. Duplex stainless steel has been included in the list of material described.
The articles in these two volumes arose from papers given at the 1991 International Symposium on Geometric Group Theory, and they represent some of the latest thinking in this area. This first volume contains contributions from many of the world's leading figures in this field, and their contributions demonstrate the many interesting facets of geometrical group theory. For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.
Originally published in 2000, this is the first volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which is unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 1 includes the abstract parabolic theory for the finite and infinite cases and corresponding PDE illustrations as well as various abstract hyperbolic settings in the finite case. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering
The two volumes of John Wiens' Ecology of Bird Communities, first published in 1992, are recognised as having applications and importance beyond the study of birds to the wider study of ecology in general. The books contain a detailed synthesis of our understanding of the patterns of organisation of bird communities and of the factors that may determine them, drawing from studies from all over the world. The author, however, does more than simply review findings in bird community ecology. By emphasizing how proper logic and methods have or have not been followed and how different viewpoints have developed historically and have led to controversy, he extends the scope of these books far beyond the study of birds. Volume 1 Foundations and Patterns explores why avian community ecologists ask the questions they do and what philosophical and methodological approaches they have used to answer such questions. Most of the book is devoted to a critical evaluation of what is known about the natu
The dynamics of physical, chemical, biological or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book and its companion volume, Perspectives of nonlinear dynamics, volume 1, the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. The presentation and style is intended to stimulate the reader's imagination to apply these methods to a host of problems and situations. The text is complemented by copious references, extensive historical and bibliographical notes, exercises and examples, and appendices giving more details of some mathematical ideas. Each chapter includes an extensive section commentary on the exercises and their solution. Graduate students and research workers in physics, applied mathem
The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and patt
Once you've completed the studies and exercises in Volumes 1 and 2, this volume offers more advanced study of saxophone technique. An awareness of rhythmic notation and rhythmic interpretation are es
Colin Brown's Christianity & Western Thought, Volume 1: From the Ancient World to the Age of Enlightenment was widely embraced as a text in philosophy and theology courses around the world. His pr
The Cambridge History of Australia offers a comprehensive view of Australian history from its pre-European origins to the present day. Over two volumes, this major work of reference tells the nation's social, political and cultural story. Volume 1 examines Australia's indigenous and colonial history through to the Federation of the colonies in 1901. Volume 2 opens with the birth of the twentieth century, tracing developments in the nation through to the present day. Each volume is divided into two parts. The first part offers a chronological treatment of the period, while the second examines the period in light of key themes, such as law, religion, the economy and the environment. Both volumes feature detailed maps, chronologies and lists of further reading. This is a lively and systematic account of Australia's history, incorporating the work of more than sixty leading historians. It is an ideal work of reference for students, scholars and general readers.
A comprehensive and invaluable reference work for practitioners, academics, and students of international criminal law, this series critically examines a complex and important legal area. Volume 1 considers the criminal responsibility of individuals for the commission of war crimes, crimes against humanity, and genocide; Volume 2 focuses on these core international crimes and discusses their interaction with the forms of responsibility; and Volume 3 provides an evaluation of international criminal procedure and the rules and practices designed to ensure effective investigations and fair trials.
This volume describes how controlled-source electromagnetic (CSEM) methods are used to determine the electrical conductivity and hydrocarbon content of the upper few kilometres of the Earth, on land and at sea. The authors show how the signal-to-noise ratio of the measured data may be maximised via suitable choice of acquisition and processing parameters and selection of subsequent data analysis procedures. Complete impulse responses for every electric and magnetic source and receiver configuration are derived, providing a guide to the expected response for real data. 1-D, 2-D and 3-D modelling and inversion procedures for recovery of Earth conductivity are presented, emphasising the importance of updating model parameters using complementary geophysical data and rock physics relations. Requiring no specialist prior knowledge of electromagnetic theory, and providing a step-by-step guide through the necessary mathematics, this book provides an accessible introduction for advanced studen
Originally published in 1931, this volume gathers together some key documents relating to Catherine II of Russia. The text is divided into two parts: the first contains letters 1 to 159 of Catherine's correspondence with Voltaire; the second contains The Instructions to the Commissioners for Composing a New Code of Laws, created in 1767. The letters are given in the original French, whilst The Instructions are presented in an English translation from 1768. An introduction and generous notes are also provided, together with a chronological table covering events between 1762 and 1777. This book will be of value to anyone with an interest in Catherine's reign, Russian history, and eighteenth-century history in general.
Written in plain language, this two-volume encyclopedia is designed to be accessible to high school seniors and up. Volume 1 compiles chapters from other Greenwood references (some revised) on cases a
The Cambridge History of Capitalism is a comprehensive two-volume work that provides an authoritative account of the evolution of capitalism and its spread and impact across the world. Adopting a wide geographical coverage and strong comparative perspective, an international team of leading scholars delve deep into the historical roots of capitalism and provide a definitive reference on the global development of capitalism and the varieties of responses to it. Volume 1 traces the rise of capitalism from distant origins in ancient Babylon to modern times, determining what features of modern capitalism were present at each time and place, and why the various precursors of capitalism did not survive. Volume 2 explores the global consequences that capitalism has had for industry, agriculture and trade, along with the reactions by governments, firms and markets. These groundbreaking volumes will have widespread appeal amongst historians, economists and political scientists.
First published in 1992, A Grammar of Old English, Volume 1: Phonology was a landmark publication that in the intervening years has not been surpassed in its depth of scholarship and usefulness to the
The "Buffalo Gals" comic strip was created in 1995. Since then, the comic feature has been published in many newspapers and magazines. The creation of "Buffalo Gals Volume 1" is a result of many yea
