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MATLAB is an interactive system for numerical computation that is
widely used for teaching and research in industry and academia. It
provides a modern programming language and problem solving
environment, with powerful data structures, customizable graphics,
and easy-to-use editing and debugging tools. This third edition of
MATLAB Guide completely revises and updates the best-selling second
edition and is more than 25 per cent longer. The book remains a
lively, concise introduction to the most popular and important
features of MATLAB and the Symbolic Math Toolbox. Key features
are:* A tutorial in Chapter 1 that gives a hands-on overview of
MATLAB.* A thorough treatment of MATLAB mathematics, including the
linear algebra and numerical analysis functions and the
differential equation solvers.* A web page provides example program
files, updates, and links to MATLAB resources. The new edition:*
Contains colour figures throughout. * Includes pithy discussions of
related topics in new "Asides" boxes that augment the text. * Has
new chapters on the Parallel Computing Toolbox, object-oriented
programming, graphs, and large data sets.* Covers important new
MATLAB data types such as categorical arrays, string arrays, tall
arrays, tables, and timetables.* Contains more on MATLAB workflow,
including the Live Editor and unit tests.* Fully reflects major
updates to the MATLAB graphics system. Features a tutorial in
Chapter 1 that gives a hands-on overview of MATLAB, a thorough
treatment of MATLAB mathematics, including the linear algebra and
numerical analysis functions and the differential equation solvers,
and a web page that provides example program files, updates, and
links to MATLAB resources. The new edition contains color figures
throughout, includes pithy discussions of related topics in new
"Asides" boxes that augment the text, has new chapters on the
Parallel Computing Toolbox, object-oriented programming, graphs,
and large data sets, covers important new MATLAB data types such as
categorical arrays, string arrays, tall arrays, tables, and
timetables, contains more on MATLAB workflow, including the Live
Editor and unit tests, and fully reflects major updates to the
MATLAB graphics system.
This is the most authoritative and accessible single-volume
reference book on applied mathematics. Featuring numerous entries
by leading experts and organized thematically, it introduces
readers to applied mathematics and its uses; explains key concepts;
describes important equations, laws, and functions; looks at
exciting areas of research; covers modeling and simulation;
explores areas of application; and more. Modeled on the popular
Princeton Companion to Mathematics, this volume is an indispensable
resource for undergraduate and graduate students, researchers, and
practitioners in other disciplines seeking a user-friendly
reference book on applied mathematics. * Features nearly 200
entries organized thematically and written by an international team
of distinguished contributors* Presents the major ideas and
branches of applied mathematics in a clear and accessible way*
Explains important mathematical concepts, methods, equations, and
applications* Introduces the language of applied mathematics and
the goals of applied mathematical research* Gives a wide range of
examples of mathematical modeling* Covers continuum mechanics,
dynamical systems, numerical analysis, discrete and combinatorial
mathematics, mathematical physics, and much more* Explores the
connections between applied mathematics and other disciplines*
Includes suggestions for further reading, cross-references, and a
comprehensive index
The Anglo-Saxon period was crucial to the development of the
English landscape, but is rarely studied. The essays here provide
radical new interpretations of its development. Traditional opinion
has perceived the Anglo-Saxons as creating an entirely new
landscape from scratch in the fifth and sixth centuries AD, cutting
down woodland, and bringing with them the practice of open field
agriculture, and establishing villages. Whilst recent scholarship
has proved this simplistic picture wanting, it has also raised many
questions about the nature of landscape development at the time,
the changing nature of systems of land management, and strategies
for settlement. The papers here seek to shed new light on these
complex issues. Taking a variety of different approaches, and with
topics ranging from the impact of coppicing to medieval field
systems, from the representation of the landscape in manuscripts to
cereal production and the type of bread the population preferred,
they offer striking new approaches to the central issues of
landscape change across the seven centuries of Anglo-Saxon England,
a period surely foundational to the rural landscape of today.
NICHOLAS J. HIGHAM is Professor of Early Medieval and Landscape
History at the University of Manchester; MARTIN J. RYAN lectures in
Medieval History at the University of Manchester. Contributors:
Nicholas J. Higham, Christopher Grocock, Stephen Rippon, Stuart
Brookes, Carenza Lewis, Susan Oosthuizen, Tom Williamson, Catherine
Karkov, David Hill, Debby Banham, Richard Hoggett, Peter Murphy.
A prominent scholar explores King Arthur's historical development,
proposing that he began as a fictional character developed in the
ninth century According to legend, King Arthur saved Britain from
the Saxons and reigned over it gloriously sometime around A.D. 500.
Whether or not there was a "real" King Arthur has all too often
been neglected by scholars; most period specialists today declare
themselves agnostic on this important matter. In this erudite
volume, Nick Higham sets out to solve the puzzle, drawing on his
original research and expertise to determine precisely when, and
why, the legend began. Higham surveys all the major attempts to
prove the origins of Arthur, weighing up and debunking hitherto
claimed connections with classical Greece, Roman Dalmatia,
Sarmatia, and the Caucasus. He then explores Arthur's emergence in
Wales-up to his rise to fame at the hands of Geoffrey of Monmouth.
Certain to arouse heated debate among those committed to defending
any particular Arthur, Higham's book is an essential study for
anyone seeking to understand how Arthur's story began.
The Anglo-Saxon period, stretching from the fifth to the late
eleventh century, begins with the Roman retreat from the Western
world and ends with the Norman takeover of England. Between these
epochal events, many of the contours and patterns of English life
that would endure for the next millennium were shaped. In this
authoritative work, N. J. Higham and M. J. Ryan reexamine
Anglo-Saxon England in the light of new research in disciplines as
wide ranging as historical genetics, paleobotany, archaeology,
literary studies, art history, and numismatics. The result is the
definitive introduction to the Anglo-Saxon world, enhanced with a
rich array of photographs, maps, genealogies, and other
illustrations. The Anglo-Saxon period witnessed the birth of the
English people, the establishment of Christianity, and the
development of the English language. With an extraordinary cast of
characters (Alfred the Great, the Venerable Bede, King Cnut), a
long list of artistic and cultural achievements (Beowulf, the
Sutton Hoo ship-burial finds, the Bayeux Tapestry), and multiple
dramatic events (the Viking invasions, the Battle of Hastings), the
Anglo-Saxon era lays legitimate claim to having been one of the
most important in Western history.
Handbook of Writing for the Mathematical Sciences provides advice
on all aspects of scientific writing, with a particular focus on
writing mathematics. Its readable style and handy format, coupled
with an extensive bibliography and comprehensive index, make it
useful for everyone from undergraduates to seasoned professionals.
This third edition revises, updates, and expands the best-selling
second edition to reflect modern writing and publishing practices
and builds on the author’s extensive experience in writing and
speaking about mathematics. Key features: coverage of fundamentals
of writing, including English usage, revising a draft, and writing
when your first language is not English; thorough treatment of
mathematical writing, including how to choose notation, how to
choose between words and symbols, and how to format equations; many
tips for exploiting LATEX and BibTEX; advice on how to write and
publish a paper, covering the entire publication process; and
anecdotes, quotes, and unusual facts that enliven the presentation.
The new edition: has been reorganized to make the book easier to
use for reference; treats modern developments in publishing such as
open access, DOIs, and ORCID; has a new chapter on workflow
covering text editors, markup languages, version control, and much
more; has a new chapter that discusses the principles of indexing
and how to prepare an index in LATEX; has a new chapter on
reviewing a paper, book proposal, or book; has a new chapter
“Writing a Book” that includes advice on choosing a publisher
and LATEX tips particular to books; contains more on poster design,
and discusses e-posters and the poster blitz; and has a new chapter
giving advice on writing a blog post.
An exploration of the landscape of Anglo-Saxon England,
particularly through the prism of place-names and what they can
reveal. The landscape of modern England still bears the imprint of
its Anglo-Saxon past. Villages and towns, fields, woods and
forests, parishes and shires, all shed light on the enduring impact
of the Anglo-Saxons. The essays in this volume explore the richness
of the interactions between the Anglo-Saxons and their landscape:
how they understood, described, and exploited the environments of
which they were a part. Ranging from the earliest settlement period
through to the urban expansion of late Anglo-Saxon England, this
book draws on evidence from place-names, written sources, and the
landscape itself to provide fresh insights into the topic. Subjects
explored include the history of thestudy of place-names and the
Anglo-Saxon landscape; landscapes of particular regions and the
exploitation of particular landscape types; the mechanisms of the
transmission and survival of written sources; and the problems and
potentials of interdisciplinary research into the Anglo-Saxon
landscape. Nicholas J. Higham is Professor of Early Medieval and
Landscape History at the University of Manchester; Martin Ryan
lectures in Medieval History at the University of Manchester.
Contributors: Ann Cole, Linda M. Corrigan, Dorn Van Dommelen, Simon
Draper, Gillian Fellows-Jensen, Della Hooke, Duncan Probert,
Alexander R. Rumble, Martin J. Ryan, Peter A. Stokes, Richard
Watson.
Essays on the brief but tumultuous reign of Harold II, and one of
our most important sources of knowledge of the time - the Bayeux
Tapestry. Harold II is chiefly remembered today, perhaps unfairly,
for the brevity of his reign and his death at the Battle of
Hastings. The papers collected here seek to shed new light on the
man and his milieu before and after that climax. They explore the
long career and the dynastic network behind Harold Godwinesson's
accession on the death of King Edward the Confessor in January
1066, looking in particular at the important questions as to
whether Harold's kingship was opportunist or long-planned; a
usurpation or a legitimate succession in terms of his
Anglo-Scandinavian kinships? They also examine the posthumous
legends that Harold survived Hastings and lived on as a religious
recluse.The essays in the second part of the volume focus on the
Bayeux Tapestry, bringing out the small details which would have
resonated significantly for contemporary audiences, both Norman and
English, to suggest how they judged Harold and the other players in
the succession drama of 1066. Other aspects of the Tapestry are
also covered: the possible patron and locations the Tapestry was
produced for; where and how it was designed; and the various
sources - artistic and real - employed by the artist. Contributors:
H.E.J. Cowdrey, Nicholas J. Higham, Ian Howard, Gillian
Fellows-Jensen, Stephen Matthews, S.L. Keefer, Gale R.
Owen-Crocker, Chris Henige, Catherine Karkov, Shirley Ann Brown,
C.R. Hart, Michael Lewis. GALE OWEN-CROCKER is Professor of
Anglo-Saxon Culture at the University of Manchester.
A prominent scholar explores King Arthur's historical development,
proposing that he began as a fictional character developed in the
ninth century According to legend, King Arthur saved Britain from
the Saxons and reigned over it gloriously sometime around A.D. 500.
Whether or not there was a "real" King Arthur has all too often
been neglected by scholars; most period specialists today declare
themselves agnostic on this important matter. In this erudite
volume, Nick Higham sets out to solve the puzzle, drawing on his
original research and expertise to determine precisely when, and
why, the legend began. Higham surveys all the major attempts to
prove the origins of Arthur, weighing up and debunking hitherto
claimed connections with classical Greece, Roman Dalmatia,
Sarmatia, and the Caucasus. He then explores Arthur's emergence in
Wales-up to his rise to fame at the hands of Geoffrey of Monmouth.
Certain to arouse heated debate among those committed to defending
any particular Arthur, Higham's book is an essential study for
anyone seeking to understand how Arthur's story began.
Building on the authors' many years of experience running
creativity workshops, How to Be Creative: A Practical Guide for the
Mathematical Sciences: Gives a six-step process for generating
great ideas that can be used by individuals or groups. Provides
examples demonstrating how these concepts have been or might be
used in practice in the mathematical sciences. Presents seven cases
of tried and tested briefs that can be used at creativity
workshops. With mathematically oriented models, this book is for
anyone in the mathematical sciences who wants to be more creative
or who wishes to train others in creativity.
The only book devoted exclusively to matrix functions, this
research monograph gives a thorough treatment of the theory of
matrix functions and numerical methods for computing them. The
author's elegant presentation focuses on the equivalent definitions
of f(A) via the Jordan canonical form, polynomial interpolation,
and the Cauchy integral formula, and features an emphasis on
results of practical interest and an extensive collection of
problems and solutions. Functions of Matrices more than just a
monograph on matrix functions; its wide-ranging content-including
an overview of applications, historical references, and
miscellaneous results, tricks, and techniques with an f(A)
connection-makes it useful as a general reference in numerical
linear algebra. Other key features of the book include development
of the theory of conditioning and properties of the Frechet
derivative; an emphasis on the Schur decomposition, the block
Parlett recurrence, and judicious use of Pade approximants; the
inclusion of new, unpublished research results and improved
algorithms; a chapter devoted to the f(A)b problem; and a MATLAB(R)
toolbox providing implementations of the key algorithms.
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