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Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior 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. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. 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.
Handbook of Writing for the Mathematical Sciences
Nick Higham follows up his successful HWMS volume with this much-anticipated second edition.
The Mercenary River
Anyone interested in the real London needs to read this. - Andrew Marr No city can survive without water, and lots of it. Today we take the stuff for granted: turn a tap and it gushes out. But it wasn't always so. For centuries London, one of the largest and richest cities in the world, struggled to supply its citizens with reliable, clean water. The Mercenary River tells the story of that struggle from the middle ages to the present day. Based on new research, it tells a tale of remarkable technological, scientific and organisational breakthroughs; but also a story of greed and complacency, high finance and low politics. Among the breakthroughs was the picturesque New River, neither new nor...
MATLAB Guide
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 30 percent 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, inc...
Princeton Companion to Applied Mathematics
The must-have compendium on applied mathematics 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 ...
Functions of Matrices
A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fre;chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB implementations of key algorithms.
The Princeton Companion to Mathematics
The ultimate mathematics reference book This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries—written especially for this book by some of the world's leading mathematicians—that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music—and much, much more. Unparalleled in its depth of ...
Britons in Anglo-Saxon England
The question of the British presence in Anglo-Saxon England readdressed by archaeologists, historians, linguists, and place-name specialists. The number of native Britons, and their role, in Anglo-Saxon England has been hotly debated for generations; the English were seen as Germanic in the nineteenth century, but the twentieth saw a reinvention of the German "past". Today, the scholarly community is as deeply divided as ever on the issue: place-name specialists have consistently preferred minimalist interpretations, privileging migration from Germany, while other disciplinary groups have been less united in their views, with many archaeologists and historians viewing the British presence, p...
King Arthur
“A leading medievalist takes a clear-eyed look at the evidence for the existence of the legendary Arthur.” —The Sunday Times “Best Paperbacks of 2021” 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, ...
