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This important book presents new and original work at the frontiers
of economics - namely the interface between artificial intelligence
(AI) and neoclassical economics.Artificial Intelligence and
Economic Analysis focuses on three quite distinct lines of AI
orientated research in economics: applications intended to extend
neoclassical theory, applications intended to undermine
neoclassical theory and applications which ignore neoclassical
theory in the quest for new modelling techniques and fields of
analysis. The contributors - all of whom are well established in
the field - seek to identify those areas where the science of
artificial intelligence could enrich standard economic analysis. It
includes material from mainstream economists who are willing to
express their own views about the limits of mainstream economic
modelling and AI based economic modelling. The book makes an
important contribution to a new and exciting area of economics
which holds much hope for the future.
Ten years after publication of the popular first edition of this
volume, the index theorem continues to stand as a central result of
modern mathematics-one of the most important foci for the
interaction of topology, geometry, and analysis. Retaining its
concise presentation but offering streamlined analyses and expanded
coverage of important examples and applications, Elliptic
Operators, Topology, and Asymptotic Methods, Second Edition
introduces the ideas surrounding the heat equation proof of the
Atiyah-Singer index theorem. The author builds towards proof of the
Lefschetz formula and the full index theorem with four chapters of
geometry, five chapters of analysis, and four chapters of topology.
The topics addressed include Hodge theory, Weyl's theorem on the
distribution of the eigenvalues of the Laplacian, the asymptotic
expansion for the heat kernel, and the index theorem for Dirac-type
operators using Getzler's direct method. As a "dessert," the final
two chapters offer discussion of Witten's analytic approach to the
Morse inequalities and the L2-index theorem of Atiyah for Galois
coverings. The text assumes some background in differential
geometry and functional analysis. With the partial differential
equation theory developed within the text and the exercises in each
chapter, Elliptic Operators, Topology, and Asymptotic Methods
becomes the ideal vehicle for self-study or coursework.
Mathematicians, researchers, and physicists working with index
theory or supersymmetry will find it a concise but wide-ranging
introduction to this important and intriguing field.
Ten years after publication of the popular first edition of this
volume, the index theorem continues to stand as a central result of
modern mathematics-one of the most important foci for the
interaction of topology, geometry, and analysis. Retaining its
concise presentation but offering streamlined analyses and expanded
coverage of important examples and applications, Elliptic
Operators, Topology, and Asymptotic Methods, Second Edition
introduces the ideas surrounding the heat equation proof of the
Atiyah-Singer index theorem. The author builds towards proof of the
Lefschetz formula and the full index theorem with four chapters of
geometry, five chapters of analysis, and four chapters of topology.
The topics addressed include Hodge theory, Weyl's theorem on the
distribution of the eigenvalues of the Laplacian, the asymptotic
expansion for the heat kernel, and the index theorem for Dirac-type
operators using Getzler's direct method. As a "dessert," the final
two chapters offer discussion of Witten's analytic approach to the
Morse inequalities and the L2-index theorem of Atiyah for Galois
coverings. The text assumes some background in differential
geometry and functional analysis. With the partial differential
equation theory developed within the text and the exercises in each
chapter, Elliptic Operators, Topology, and Asymptotic Methods
becomes the ideal vehicle for self-study or coursework.
Mathematicians, researchers, and physicists working with index
theory or supersymmetry will find it a concise but wide-ranging
introduction to this important and intriguing field.
Martial arts transport us to the realms of legends. Every single
day, in sweat-soaked training halls across the globe, stories of
heroic warriors from the past are told. Tales of men and women that
could overpower wild beasts with their bare hands, walk through a
barrage of swords or bullets unharmed or defeat scores of attackers
while barely breaking a sweat. But from where does our fascination
with these tales stem? Why are they so widely told? Why are there
near-universal aspects that appear throughout? This book intends to
answer these questions and more. Telling us the tales of ten of the
greatest martial arts legends of all time, looking at the facts
behind these stories and discussing the functions that they play
within the study of martial arts.
The first English-language book to detail the combat systems and
martial culture of a land shaped by centuries of conflict. The
Martial Arts of Vietnam presents an engaging overview of the
evolution of Vietnamese martial arts from 2,000 BCE until today. We
will look at the mythical origins of the Vietnamese people and the
impact that invasions from neighboring countries had on the martial
culture of Vietnam. We will discover how kings and governments
promoted and, in some cases, crushed martial traditions; alongside
how Vietnams' unusual geography both protected and exposed martial
styles and lineages. This work offers stunning photography, era
timelines, and regional maps that allow for an engaging adventure
through Vietnam's northern, central, and southern regions, all in
search of events and catalysts that shaped its martial history
through the ages. When we arrive at modern Vietnams' martial arts
society, we meet with many teachers from the northern, central, and
southern regions who, through courageous efforts, are attempting to
codify and preserve their unique combat systems for the benefit of
all martial artists. We explore the ethnic minority martial arts,
Sino-Vietnamese and Chinese martial arts, as well as various
imported and foreign systems and how they are positioned in
relation to modern Vietnam's martial arts practices. The Martial
Arts of Vietnam lifts the veil of secrecy long surrounding this
socialist state to reveal its combat systems and their thousand
years of evolution.
Martial arts transport us to the realms of legends. Every single
day, in sweat-soaked training halls across the globe, stories of
heroic warriors from the past are told. Tales of men and women that
could overpower wild beasts with their bare hands, walk through a
barrage of swords or bullets unharmed or defeat scores of attackers
while barely breaking a sweat. But from where does our fascination
with these tales stem? Why are they so widely told? Why are there
near-universal aspects that appear throughout? This book intends to
answer these questions and more. Telling us the tales of ten of the
greatest martial arts legends of all time, looking at the facts
behind these stories and discussing the functions that they play
within the study of martial arts.
The essays in this volume derive in the main, though not
exclusively, from the 13th annual conference held in Houston in
November 1994. Written by an international group of scholars, they
centre on the history of England and its neighbours during the
Anglo-Saxon, Viking, Anglo-Norman and Angevin periods. Of
particular interest is a wide-ranging and well-illustrated article
on medieval bridges; other topics include the Anglo-Norman patrons
of Bury St Edmunds, Anglo-Welsh relations before 1066, the legal
status of the Britons in seventh-century Wessex, and the Hundred
Rolls. There is also a particular focus on the roles played by
women, with articles on Henry I's queen Adeliza of Louvain, and the
Anglo-Norman countesses of Chester.Dr C.P. LEWIS teaches in the
Department of History at the University of Liverpool; Dr EMMA
COWNIE teaches in the Department of History, King's College,
London. Contents and Contributors: EMMA COWNIE, NICHOLAS BROOKS,
LOUIS M. ALEXANDER, JOHNR.E. BLIESE, FREDERICK C. SUPPE, W. SCOTT
JESSEE, H.B. TEUNIS, JULIE POTTER, LAURA WERTHEIMER, SUSAN JOHNS,
R.H. HELMHOLZ, S.F.C. MILSOM, DAVID ROFFE.
A detailed comparison of Machiavelli with Shakespeare, grounded in
their common use of rhetoric. Although the question of
Machiavellian influence on Shakespeare has been thoroughly debated,
this book represents the first attempt to compare the two authors
in detail. The playwright and the political philosopher share a
commonground, a fascination with the motives and morality of
political action, which makes for remarkable similarities in their
presentation of the subject. In his deploying of the argument, the
author of Il Principe emerges as a dramatic writer, like his
English counterpart. The book, while taking in an obvious
"Machiavel" figure such as Richard III, considers Machiavelli in
relation to Shakespeare's depiction of more conventionally noble
princes such as HenryV, together with other monarchs from the
Henriad - Richard II and Henry IV - as well as King John. Though
the Shakespearean focus falls on the histories, tragic heroes such
as Hamlet and Macbeth also receive attention. The study concludes
with two chapters on the Roman plays and assesses Shakespeare's
representation of the problem of conscience (Julius Caesar) and
magnanimity (Antony and Cleopatra) in the light of Machiavelli's
republicanism. JOHN ROE is Senior Lecturer at the University of
York.
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Hanoi Revealed (Paperback)
Augustus John Roe; Translated by Phuong Anh Nguyen; Ross Deverson
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R904
Discovery Miles 9 040
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Ships in 10 - 15 working days
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Designed for the 21st century classroom, this textbook poses,
refines, and analyzes questions of sustainability in a quantitative
environment. Building mathematical knowledge in the context of
issues relevant to every global citizen today, this text takes an
approach that empowers students of all disciplines to understand
and reason with quantitative information. Whatever conclusions may
be reached on a given topic, this book will prepare the reader to
think critically about their own and other people's arguments and
to support them with careful, mathematical reasoning. Topics are
grouped in themes of measurement, flow, connectivity, change, risk,
and decision-making. Mathematical thinking is at the fore
throughout, as students learn to model sustainability on local,
regional, and global scales. Exercises emphasize concepts, while
projects build and challenge communication skills. With no
prerequisites beyond high school algebra, instructors will find
this book a rich resource for engaging all majors in the
mathematics classroom. From the Foreword No longer will you be just
a spectator when people give you quantitative information-you will
become an active participant who can engage and contribute new
insights to any discussion.[...] There are many math books that
will feed you knowledge, but it is rare to see a book like this one
that will help you cultivate wisdom.[...] As the authors
illustrate, mathematics that pays attention to human considerations
can help you look at the world with a new lens, help you frame
important questions, and help you make wise decisions. Francis
Edward Su, Harvey Mudd College
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