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During the academic year 1980-1981 I was teaching at the Technion-the Israeli Institute of Technology-in Haifa. The audience was small, but con­ sisted of particularly gifted and eager listeners; unfortunately, their back­ ground varied widely. What could one offer such an audience, so as to do justice to all of them? I decided to discuss representations of natural integers as sums of squares, starting on the most elementary level, but with the inten­ tion of pushing ahead as far as possible in some of the different directions that offered themselves (quadratic forms, theory of genera, generalizations and modern developments, etc.), according to the interests of the audience. A few weeks after the start of the academic year I received a letter from Professor Gian-Carlo Rota, with the suggestion that I submit a manuscript for the Encyclopedia of Mathematical Sciences under his editorship. I answered that I did not have a ready manuscript to offer, but that I could use my notes on representations of integers by sums of squares as the basis for one. Indeed, about that time I had already started thinking about the possibility of such a book and had, in fact, quite precise ideas about the kind of book I wanted it to be.

Stay comfortable and stylish with these Represent sweatpants for men, made of soft felpa fabric.

Stay comfortable and stylish with these Represent sweatpants for men, made of soft felpa fabric.

A nice copy. Clean text, solid binding. No dust jacket.

A fundamental reason for using formal methods in the philosophy of science is the desirability of having a fixed frame of reference that may be used to organize the variety of doctrines at hand. This book—Patrick Suppes's major work, and the result of several decades of research—examines how set-theoretical methods provide such a framework, covering issues of axiomatic method, representation, invariance, probability, mechanics, and language, including research on brain-wave representations of words and sentences. This is a groundbreaking, essential text from a distinguished philosopher.

First published in 1962, this classic book remains a remarkably complete introduction to various aspects of the representation theory of finite groups. One of its main advantages is that the authors went far beyond the standard elementary representation theory, including a masterly treatment of topics such as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations. These and many other subjects are treated extremely thoroughly, starting with basic definitions and results and proceeding to many important and crucial developments. Numerous examples and exercises help the reader of this unsurpassed book to master this important area of mathematics.

Buy with confidence! Book is in new, never-used condition 1.04

This volume provides an overview of modern advances in representation theory from a geometric standpoint. The techniques developed are quite general and can be applied to other areas such as quantum groups, affine Lie groups, and quantum field theory.

The figure of the «Muslim» woman or girl performs a crucial role in far-reaching socio-political debates in Germany. Indeed, such figures challenge the boundaries of gender equality and secularism and contest notions of tolerance and integration. The (in)visibility of Muslim women’s bodies and their apparent position in Islam function as ostensible indicators of their oppression and of Islam’s supposed incompatibility with western values. This book investigates representations of «Muslim» women and girls in German popular culture from 1990 to 2015. The study analyses the discursive function of such figures in German popular culture via three key research questions: what representational practices surround the figure of the Muslim woman or girl in German life writing, young adult literature and film? How do such representations function to produce «non-Muslim» subject positions? What is the function of this figure within narratives of feminism and assertions of gender equality? This study understands itself as an intervention into contemporary racist discourses in Germany and operates within a transdisciplinary framework of intersectional feminism and cultural and German studies. Ultimately, the book aims to make visible and interrogatethe underlying hierarchies and agendas that drive representations of Muslim women and girls. This book was the winner of the of the 2017 Early Career Researcher Prize in German Studies, a collaboration between the Institute for German Studies at the University of Birmingham and Peter Lang.

This book demonstrates that apportionment, although long overlooked by scholars, dominated state politics in late nineteenth-century America, setting the boundaries not only for legislative districts but for the nature of representative democracy. The book examines fierce struggles over apportionment in the Midwest, where a distinctive constitutional and electoral context shaped their course with momentous consequences. As the major parties alternated in effectively disfranchising their opponents through gerrymanders, growing tensions challenged established patterns of political behavior and precipitated intense and even dangerous disputes. Unprecedented judicial intervention overturned gerrymanders in stunning decisions that electrified the public but intensified rather than resolved political conflict and uncertainty. Ultimately, America's political ideal of representative democracy was frustrated by its own political institutions, including the courts, because their decisions against gerrymandering in the 1890s helped parties and legislatures entrench the practice as a basic and profoundly undemocratic feature of American politics in the twentieth century.

Green cloth hardcover in very nice shape, bright white pages, clean all around.

Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.

This is the second edition of the popular textbook on representation theory of finite groups. The authors have revised the text greatly and included new chapters on Characters of GL(2,q) and Permutations and Characters. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. The character tables of many groups are given, including all groups of order less than 32, and all but one of the simple groups of order less than 1000. Each chapter is accompanied by a variety of exercises, and full solutions to all the exercises are provided at the end of the book.

Extremely rare and extremely important, this fabulously illustrated book was commissioned by the Duke of Cumberland, the victor of Culloden, presented to his brother, King George II, and shows in 94 colour illustrations the uniform of all units and establishments of the British army at that time (1742). As such, it is the official template from which all subsequent uniforms were derived. Found in the Library of the Royal Armouries, Leeds, the book shows the uniforms and accoutrements of the Gentlemen Pensioners and the Yeomen of the Guard, the Household Cavalry and the Cavalry, including the Carbineers and the Dragoons. It also includes the dress of the 1st Foot Guards (Grenadier Guards), the Coldstream Guards and the 3rd Regiment of Foot Guards (Scots Guards). The line regiments are also fully covered, from the Queen’s Regiment, the King’s Regiment, the Royal Regiment of Fusiliers, and all the other line regiments then established in the British Army. The Cloathing Book also includes ten regiments of Marines and the Regiment of Invalids. Each plate shows the uniform of the regiment in full, together with (where applicable) horse coverings and the colours of the regiment. This is an exceptional find for Naval and Military Press, and is recommended to all historians of the British Army, and of its uniforms and accoutrements in general. The colour plates are superbly reproduced exactly as they appear in the original, which has been professionally scanned for colour matching.

More than half a century has passed since Weyl's "The Classical Groups" gave a unified picture of invariant theory that has retained its importance in mathematics and physics to the present day. This book presents an updated version of this theory together with many of the important recent developments. As a text for beginners, 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. It makes abundant use of examples and exercises to explain concepts such as root systems, Weyl groups and highest weight theory. 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.

Barry Simon, I.B.M. Professor of Mathematics and Theoretical Physics at the California Institute of Technology, is the author of several books, including such classics as Methods of Mathematical Physics (with M. Reed) and Functional Integration and Quantum Physics. This new book, based on courses given at Princeton, Caltech, ETH-Zurich, and other universities, is an introductory textbook on representation theory. According to the author, "Two facets distinguish my approach. First, this book is relatively elementary, and second, while the bulk of the books on the subject is written from the point of view of an algebraist or a geometer, this book is written with an analytical flavor". The exposition in the book centers around the study of representation of certain concrete classes of groups, including permutation groups and compact semisimple Lie groups. It culminates in the complete proof of the Weyl character formula for representations of compact Lie groups and the Frobenius formula for characters of permutation groups. Extremely well tailored both for a one-year course in representation theory and for independent study, this book is an excellent introduction to the subject which, according to the author, is unique in having "so much innate beauty so close to the surface".

This book reconsiders a wide array of images of Byzantine empresses on media as diverse as bronze coins and gold mosaic from the fifth through to the seventh centuries A.D. The representations have often been viewed in terms of individual personas, but strong typological currents frame their medieval context. Empress Theodora, the target of political pornography, has consumed the bulk of past interest, but even her representations fit these patterns. Methodological tools from fields as disparate as numismatics as well as cultural and gender studies help clarify the broader cultural significance of female imperial representation and patronage at this time.

Ann Vasaly introduces representation theory into the study of Ciceronian persuasion and contends that an understanding of milieu―social, political, topographical―is crucial to understanding Ciceronian oratory. As a genre uniquely dependent on an immediate interaction between author and audience, ancient oratory becomes performance art.Vasaly investigates the way Cicero represented the contemporary physical world―places, topography, and monuments, both those seen and those merely mentioned―to his listeners and demonstrates how he used these representations to persuade. Her exceptionally well-written study deftly recaptures the immediacy of Cicero's oratory and makes a trenchant contribution to an important new area of inquiry in Classical Studies.

Chatterjee analyzes how writing over the period of a century justified and was affected by the introduction and extension of British domination of India, demonstrating the link between written representations and the ideological, economic and political climate and debates. By showing how the representations of Britons in India, Indian religion and society and government evolved over the period 1740 to 1840, the author fills the gap between the early colonial 'exotic East' and the later 'primitive subject nation' perceptions.

Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.