Books about Trefethen from Amazon.com

This is a concise, insightful introduction to the field of numerical linear algebra The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.

Contents: Preface; Acknowledgments; Part I: Fundamentals. Lecture 1: Matrix-Vector Multiplication; Lecture 2: Orthogonal Vectors and Matrices; Lecture 3: Norms; Lecture 4: The Singular Value Decomposition; Lecture 5: More on the SVD; Part II: QR Factorization and Least Squares. Lecture 6: Projectors; Lecture 7: QR Factorization; Lecture 8: Gram-Schmidt Orthogonalization; Lecture 9: MATLAB; Lecture 10: Householder Triangularization; Lecture 11: Least Squares Problems; Part III: Conditioning and Stability. Lecture 12: Conditioning and Condition Numbers; Lecture 13: Floating Point Arithmetic; Lecture 14: Stability; Lecture 15: More on Stability; Lecture 16: Stability of Householder Triangularization; Lecture 17: Stability of Back Substitution; Lecture 18: Conditioning of Least Squares Problems; Lecture 19: Stability of Least Squares Algorithms; Part IV: Systems of Equations. Lecture 20: Gaussian Elimination; Lecture 21: Pivoting; Lecture 22: Stability of Gaussian Elimination; Lecture 23: Cholesky Factorization; Part V: Eigenvalues. Lecture 24: Eigenvalue Problems; Lecture 25: Overview of Eigenvalue Algorithms; Lecture 26: Reduction to Hessenberg or Tridiagonal Form; Lecture 27: Rayleigh Quotient, Inverse Iteration; Lecture 28: QR Algorithm without Shifts; Lecture 29: QR Algorithm with Shifts; Lecture 30: Other Eigenvalue Algorithms; Lecture 31: Computing the SVD; Part VI: Iterative Methods. Lecture 32: Overview of Iterative Methods; Lecture 33: The Arnoldi Iteration; Lecture 34: How Arnoldi Locates Eigenvalues; Lecture 35: GMRES; Lecture 36: The Lanczos Iteration; Lecture 37: From Lanczos to Gauss Quadrature; Lecture 38: Conjugate Gradients; Lecture 39: Biorthogonalization Methods; Lecture 40: Preconditioning; Appendix: The Definition of Numerical Analysis; Notes; Bibliography; Index.

Audience: Written on the graduate or advanced undergraduate level, this book can be used widely for teaching. Professors looking for an elegant presentation of the topic will find it an excellent teaching tool for a one-semester graduate or advanced undergraduate course. A major contribution to the applied mathematics literature, most researchers in the field will consider it a necessary addition to their personal collections..
Price: $44.98 [Notify me when price goes down.]

The Cruising Life: A Commonsense Guide for the Would-Be Voyager, Jim Trefethen The funniest, drollest, wisest book on the shelf for the would-be cruiser. Trefethen pulls no punchesNhe tells you just what will be involved if you and your family decide to "let slip the surly bonds of earth" and set sail. How to get ready, how to finance the voyage, how to live on your boat with maximum peace of mind and minimum hassle, and what equipment you do and don't need. (What you don't need may surprise you.).
Price: $11.82 [Notify me when price goes down.]

Although better than nine out of ten boats afloat today are made of fiberglass, a significant minority of boaters believe that a boat isn't a boat unless it's made of wood. Wooden boats have character Wooden boats are real. Wooden boats are living things, not plastic stampings from the corporate cookie cutter. But new wooden boats are priced beyond the reach of most families, and building from scratch takes more time and energy than many people have. The alternative, buying a tired old wooden boat and "fixing it up," is harder than it sounds because the available information is written for skilled craftsmen using traditional methods and materials to restore antique boats to museum standards--worlds away from the needs of the average boater. Enter author Jim Trefethen, who rebuilds wooden boats in Marblehead, Massachusetts, using modern materials and methods, such as epoxy laminations, to replace traditional heavy timber framework. Written for the novice, this book tells the reader how to select the right boat; establish a work schedule and budget; buy the right tools and equipment; select alternatives to endangered tropical rainforest woods; repair and modify the hull, topsides, deckhouse, masts, and interior; when, why, and how to use fiberglass; paint and refinishing; repairing electrical and mechanical systems, and more. .
Price: $17.47 [Notify me when price goes down.]

This is the only book on spectral methods built around MATLAB programs Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since spectral methods involve significant linear algebra and graphics they are very suitable for the high level programming of MATLAB. This hands-on introduction is built around forty short and powerful MATLAB programs, which the reader can download from the World Wide Web.

This book presents the key ideas along with many figures, examples, and short, elegant MATLAB programs for readers to adapt to their own needs. It covers ODE and PDE boundary value problems, eigenvalues and pseudospectra, linear and nonlinear waves, and numerical quadrature..
Price: $32.05 [Notify me when price goes down.]

Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in.

This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.

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Price: $55.12 [Notify me when price goes down.]

This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and many applications in fields such as electromagnetism, fluid flow, design and inverse problems, and the solution of linear systems of equations. It is an accessible resource for engineers, scientists, and applied mathematicians who seek more experience with theoretical or computational conformal mapping techniques. The most important theoretical results are stated and proved, but the emphasis throughout remains on concrete understanding and implementation. There is a brief appendix illustrating the use of the Schwarz-Christoffel Toolbox for MATLAB, the state-of-the-art package for computation of these maps..
Price: $70.66 [Notify me when price goes down.]

This book is as useful as it is reader friendly ..a helpful guide to WAC planning and implementation that will be a welcome contribution to faculty in specific disciplines.
- Art Young, Author of Teaching Writing Across the Curriculum, Third Edition

Direct from the Disciplines is an excellent teaching tool for all concerned about improving student writing. This is the kind of book where faculty may at first look for a representation of their own discipline but end up reading the advice from others.
- Joan Mullin, Coauthor of ARTiculating

If one wonders about the current state of what is by now a fairly old idea, this volume will provide a fresh, up-to-date, and well-written testimony to its vitality and health. Readers will find descriptions of innovative writing, authentic student responses, and a carefully articulated set of WAC principles both theoretically sound and classroom tested.
- Toby Fulwiler, Coeditor of Writing Across the Disciplines and Author of College Writing, Second Edition

What is possible when the impetus to improve students' writing comes not from the administrative level but from faculty members in departments across campus? In Direct from the Disciplines, representatives from a broad range of disciplines at Quinnipiac University recount how they worked together to bring about a writing-across-the-curriculum program that really works.

Professors from departments in business, the humanities, the sciences, computer science, and occupational therapy as well as administrators describe the theoretical and subject-specific challenges they faced in changing the culture of writing in their classrooms and on their campus. Together their essays build a consensus about which practices and strategies for implementation are essential in achieving success with WAC. Their ideas are backed by example writing assignments, samples of student work, and descriptions of support services that are grounded in the reality of teaching and sustaining WAC.

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Price: $22.00 [Notify me when price goes down.]

The key to winning debates isn't found in boxes and boxes of evidence, a "flawless" case, or being lucky enough to win the judge's favor. The key to winning is in strategy, which is exactly what this book covers in detail. Within these pages, you will learn how to:

* Create affirmative cases that are tightly sealed from flaws
* Develop negative strategies that attack the best cases
* Formulate cross-examination questions that cripple opponents
* Answer cross-examination questions to turn judges to your favor
* Leverage the rules of academic debate to your advantage
* Gather evidence that builds, supports and defends your arguments

The sound advice and proven tactics in Strategic Debate is certain to provide the needed tools for building a champion debater. In the spirit of Training Minds Ministry, Strategic Debate provides the apparatus that will "train the mind for action" for debate rounds as well as the world..
Price: $24.95 [Notify me when price goes down.]