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

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.

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 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.

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.

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.

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.

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.

This book gives a thorough, up-to-date treatment of the behaviour of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. The coverage of the first edition has been expanded and updated, involving numerous improvements. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures. This new edition is a suitable reference for an advanced course and can also be used at all levels as a supplementary text from which to draw examples, historical perspective, statements of results, and exercises. In addition the thorough indexes and extensive, up-to-date bibliography are in a readily accessible form.