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 applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index
The task of the encoder is to add redundancy to the message in order to protect it from channel noise and facilitate its recovery by the decoder from the noisy channel output. In general, this is done by assigning codewords to each ...
This is a one-of-a-kind reference for anyone with a serious interest in mathematics.
The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.
A generic (non-singular) curve P(2,w) : Z arszrws : 0, (17.169) F,S with its points at infinity included, has genus l g I i(d —1)(d — 2). (17.170) Here d : max (r + s) is the degree of the curve. This degreeIgenus relation is due to ...
This is the most authoritative and accessible single-volume reference book on applied mathematics.
"The definitive single-volume compendium of all things Princeton"--
This book provides the first comprehensive treatment of Benford's law, the surprising logarithmic distribution of significant digits discovered in the late nineteenth century.
Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields.
This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years.
This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics.