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An Introduction to Parallel and Vector Scientific Computation
In this text, students of applied mathematics, science and engineering are introduced to fundamental ways of thinking about the broad context of parallelism. The authors begin by giving the reader a deeper understanding of the issues through a general examination of timing, data dependencies, and communication. These ideas are implemented with respect to shared memory, parallel and vector processing, and distributed memory cluster computing. Threads, OpenMP, and MPI are covered, along with code examples in Fortran, C, and Java. The principles of parallel computation are applied throughout as the authors cover traditional topics in a first course in scientific computing. Building on the fundamentals of floating point representation and numerical error, a thorough treatment of numerical linear algebra and eigenvector/eigenvalue problems is provided. By studying how these algorithms parallelize, the reader is able to explore parallelism inherent in other computations, such as Monte Carlo methods.
777 Mathematical Conversation Starters
Illustrated book showing that there are few degrees of separation between mathematics and topics that provoke interesting conversations.
Tomorrow's Professor
Tomorrow's Professor is designed to help you prepare for, find, and succeed at academic careers in science and engineering. It looks at the full range of North American four-year academic institutions while featuring 30 vignettes and more than 50 individual stories that bring to life the principles and strategies outlined in the book. Tailored for today's graduate students, postdocs, and beginning professors, Tomorrow's Professor: Presents a no-holds-barred look at the academic enterprise Describes a powerful preparation strategy to make you competitive for academic positions while maintaining your options for worthwhile careers in government and industry Explains how to get the offer you wa...
An Introduction to Polynomial and Semi-Algebraic Optimization
The first comprehensive introduction to the powerful moment approach for solving global optimization problems.
An Introduction to Computational Stochastic PDEs
This book offers a practical presentation of stochastic partial differential equations arising in physical applications and their numerical approximation.
A First Course in the Numerical Analysis of Differential Equations
lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
An Introduction to Stochastic Dynamics
An accessible introduction for applied mathematicians to concepts and techniques for describing, quantifying, and understanding dynamics under uncertainty.
Hydrodynamic Instabilities
The instability of fluid flows is a key topic in classical fluid mechanics because it has huge repercussions for applied disciplines such as chemical engineering, hydraulics, aeronautics, and geophysics. This modern introduction is written for any student, researcher, or practitioner working in the area, for whom an understanding of hydrodynamic instabilities is essential. Based on a decade's experience of teaching postgraduate students in fluid dynamics, this book brings the subject to life by emphasizing the physical mechanisms involved. The theory of dynamical systems provides the basic structure of the exposition, together with asymptotic methods. Wherever possible, Charru discusses the phenomena in terms of characteristic scales and dimensional analysis. The book includes numerous experimental studies, with references to videos and multimedia material, as well as over 150 exercises which introduce the reader to new problems.
Starting Our Careers
This "how-to" book addresses all aspects of a young mathematicians' early career development: How do I get good letters of recommendation? How do I apply for a grant? How do I do research in a small department that has no one in my field? How do I do anything meaningful if all I can get is a series of one-year jobs? These articles paint a broad portrait of current professional development issues of interest from the Young Mathematician's Network-from finding jobs to organizing special sessions. There are chapters on applying for positions, working in industry and in academia, starting and publishing research, writing grant proposals, applying for tenure, and becoming involved in the academic community. The book offers timely and sound advice offered by recent doctorates through experienced mathematicians. The material originally appeared in the electronic pages of Concerns of Young Mathematicians. The book is devoted exclusively to the early stages of a mathematical career.
The Edge of the Universe
Exquisite expositions of mathematics taken from the first ten years of the Math Horizons magazine.
