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Multiscale Methods
This introduction to multiscale methods gives you a broad overview of the methods’ many uses and applications. The book begins by setting the theoretical foundations of the methods and then moves on to develop models and prove theorems. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable you to build your own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter.With the exception of Chapter One, all chapters are supplemented with exercises.
A First Course in Continuum Mechanics
The modeling and simulation of fluids, solids and other materials with significant coupling and thermal effects is becoming an increasingly important area of study in applied mathematics and engineering. Necessary for such studies is a fundamental understanding of the basic principles of continuum mechanics and thermodynamics. This book is a clear introduction to these principles. It is designed for a one- or two-quarter course for advanced undergraduate and beginning graduate students in the mathematical and engineering sciences, and is based on over nine years of teaching experience. It is also sufficiently self-contained for use outside a classroom environment. Prerequisites include a bas...
Data Assimilation
This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation, covering both theoretical and computational approaches. Specifically the authors develop a unified mathematical framework in which a Bayesian formulation of the problem provides the bedrock for the derivation, development and analysis of algorithms; the many examples used in the text, together with the algorithms which are introduced and discussed, are all illustrated by the MATLAB software detailed in the book and made freely available online. The book is organized into nine chapters: the first contains a brief introduction to the mathematical tools around which the material is organize...
Dynamical Systems and Numerical Analysis
The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated as dynamical systems and the convergence and stability properties of the methods are examined.
Bayesian Approach to Inverse Problems
Many scientific, medical or engineering problems raise the issue of recovering some physical quantities from indirect measurements; for instance, detecting or quantifying flaws or cracks within a material from acoustic or electromagnetic measurements at its surface is an essential problem of non-destructive evaluation. The concept of inverse problems precisely originates from the idea of inverting the laws of physics to recover a quantity of interest from measurable data. Unfortunately, most inverse problems are ill-posed, which means that precise and stable solutions are not easy to devise. Regularization is the key concept to solve inverse problems. The goal of this book is to deal with in...
Inverse Problems and Data Assimilation
This concise introduction provides an entry point to the world of inverse problems and data assimilation for advanced undergraduates and beginning graduate students in the mathematical sciences. It will also appeal to researchers in science and engineering who are interested in the systematic underpinnings of methodologies widely used in their disciplines. The authors examine inverse problems and data assimilation in turn, before exploring the use of data assimilation methods to solve generic inverse problems by introducing an artificial algorithmic time. Topics covered include maximum a posteriori estimation, (stochastic) gradient descent, variational Bayes, Monte Carlo, importance sampling and Markov chain Monte Carlo for inverse problems; and 3DVAR, 4DVAR, extended and ensemble Kalman filters, and particle filters for data assimilation. The book contains a wealth of examples and exercises, and can be used to accompany courses as well as for self-study.
How to Sell Your Memoir
How to Sell Your Memoir: 12 Steps to a Perfect Book Proposal offers memoirists an easy-to-follow formula to create a winning book proposal that will attract agents and editors. Brooke Warner is a former acquiring editor and current publisher who breaks the nonfiction proposal into three editorial components and three marketing components. This ebook includes a section about platform—and an explanation of why memoirists need one and how they can build one—as well as real samples from authors who have sold their memoirs to traditional publishers off their proposals. Find easy-to-follow templates and smart tips for navigating agents and publishers, along with best practices memoirists can’t afford not to know!
Multiscale Methods
This introduction to multiscale methods gives you a broad overview of the methods’ many uses and applications. The book begins by setting the theoretical foundations of the methods and then moves on to develop models and prove theorems. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable you to build your own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter.With the exception of Chapter One, all chapters are supplemented with exercises.
The Bone Shard Daughter
'One of the best fantasy novels I've read in a long time...This book is truly special' Sarah J. Maas ***The Sunday Times bestselling series*** Magic. Revolution. Identity. The Emperor's reign has lasted for decades, his mastery of bone shard magic powering the animal-like constructs that maintain law and order. But now his rule is failing, and revolution is sweeping across the Empire's many islands. Lin is the Emperor's daughter and she spends her days trapped in a palace of locked doors and dark secrets. When her father refuses to recognise her as heir to the throne, she vows to prove her worth by mastering the forbidden art of bone shard magic. Yet such power carries a great cost, and when...
The Best I Saw in Chess
At the U.S. Championship in 1989, Stuart Rachels seemed bound for the cellar. Ranked last and holding no IM norms, the 20-year-old amateur from Alabama was expected to get waxed by the American top GMs of the day that included Seirawan, Gulko, Dzindzichashvili, deFirmian, Benjamin and Browne. Instead, Rachels pulled off a gigantic upset and became the youngest U.S. Champion since Bobby Fischer. Three years later he retired from competitive chess, but he never stopped following the game. In this wide-ranging, elegantly written, and highly personal memoir, Stuart Rachels passes on his knowledge of chess. Included are his duels against legends such as Kasparov, Anand, Spassky, Ivanchuk, Gelfand...
