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Research Summary
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Modern Communications
A concise and approachable introductory text for a single-semester course, organized systematically rather than historically. Combining theory with practical implementation, and accompanied online by PowerPoint slides, a solutions manual, and additional problems, it is ideal for a first communications course.
Creators of Mathematical and Computational Sciences
​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.
The Physics of Astrophysics: Gas dynamics
This two-volume text is for new graduates on astronomy courses who need to get to grips with the physics involved in the subject. Four problem sets, averaging three problems per set, accompany each volume. The problems expand on the material covered in the texts and represent the level of calculational skill needed to write scientific papers in contemporary astrophysics.
Initial-Boundary Value Problems and the Navier-Stokes Equation
Initial-Boundary Value Problems and the Navier-Stokes Equations gives an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Applications to parabolic and hyperbolic systems are emphasized in this text. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The book explains the principles of these subjects. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrate...
More Than Curious
The author found himself in places and times to closely observe significant events and noteworthy personalities in 20th century science. Variously, he interacted with such notables as Richard Feynman, S. Chandrasekhar, Edward Teller, Ya. B. Zel'dovich, John Wheeler, James Watson, Julian Schwinger, Fred Hoyle, Martin Rees, Stephen Hawking, Freeman Dyson, Ed Witten, and many others. His Ph.D. advisor, Kip Thorne, and his Ph.D. student, Adam Riess, each won Nobel Prizes-for discoveries that he helped them start. Later, he worked with (or for) not just scientists, but also technology capitalists and billionaires, admirals and generals, and political leaders including two U.S. presidents. His memoir is rich in stories about these people and events.
Elementary Numerical Analysis
This book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.
Numerical Linear Algebra and Optimization
This classic volume covers the fundamentals of two closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analyzed. While linear algebra and optimization have made huge advances since this book first appeared in 1991, the fundamental principles have not changed. These topics were rarely taught with a unified perspective, and, somewhat surprisingly, this remains true 30 years later. As a result, some of the material in this book can be difficult to find elsewhereâ€...
Special Report
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Generalized Concavity
Originally published: New York: Plenum Press, 1988.
