Presents overviews of advances in partial differential equations and their applications. This title covers topics such as the formation of shocks in fluids, modern numerical computation of turbulence, the breaking of the Einstein equations in a vacuum, the
Presents overviews of advances in partial differential equations and their applications. This title covers topics such as the formation of shocks in f...
Symbolic dynamics originated as a tool for analyzing dynamical systems and flows by discretizing space as well as time. The development of information theory gave impetus to the study of symbol sequences as objects in their own right. Today, symbolic dynamics has expanded to encompass multi-dimensional arrays of symbols and has found diverse applications both within and beyond mathematics. This volume is based on the AMS Short Course on Symbolic Dynamics and its Applications. It some of its applications. Topics include the use of symbolic dynamics techniques in coding theory and in complex...
Symbolic dynamics originated as a tool for analyzing dynamical systems and flows by discretizing space as well as time. The development of information...
To understand multiscale phenomena, it is essential to employ asymptotic methods to construct approximate solutions and to design effective computational algorithms. This volume consists of articles based on the AMS Short Course in Singular Perturbations held at the annual Joint Mathematics Meetings in Baltimore, USA. Leading experts discussed the following topics which they expand upon in the book: boundary layer theory, matched expansions, multiple scales, geometric theory, computational techniques, and applications in physiology and dynamic metastability. Readers will find that this text...
To understand multiscale phenomena, it is essential to employ asymptotic methods to construct approximate solutions and to design effective computatio...
Presents proceedings from the AMS short course, Trends in Optimization 2004, held at the Joint Mathematics Meetings in Phoenix (AZ). This book describes Lovasz's fundamental algorithm for producing a short vector in a lattice by basis reduction.
Presents proceedings from the AMS short course, Trends in Optimization 2004, held at the Joint Mathematics Meetings in Phoenix (AZ). This book describ...
The Mandelbrot set has emerged as one of the most recognizable objects in mathematics. While there is no question of its beauty, relatively few people appreciate the fact that the mathematics behind such images is equally beautiful. This book presents lectures delivered during the AMS Short Course entitled Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets, held at the Joint Mathematics Meetings in Cincinnati in January 1994. The lectures cover a wide range of topics, including the classical work of Julia and Fatou on local dynamics of analytic maps as well as...
The Mandelbrot set has emerged as one of the most recognizable objects in mathematics. While there is no question of its beauty, relatively few people...
Presents a collection of articles that grew out of an expository and tutorial conference on public-key cryptography held at the Joint Mathematics Meetings (Baltimore). This book provides an introduction and survey on public-key cryptography for those with
Presents a collection of articles that grew out of an expository and tutorial conference on public-key cryptography held at the Joint Mathematics Meet...
Geometry and topology are subjects generally considered to be pure mathematics. However, some of the methods and results in these two areas have found uses in both wet-lab science (biology and chemistry) and theoretical physics. Conversely, science is influencing mathematics, from posing questions that call for the construction of mathematical models to exporting theoretical methods of attack on long-standing problems of mathematical interest. Based on an AMS Short Course held in January 1992, this book contains six introductory articles on these intriguing connections. There are articles by...
Geometry and topology are subjects generally considered to be pure mathematics. However, some of the methods and results in these two areas have found...
Based on the lectures in the Short Course The Radon Transform and Applications to Inverse Problems at the American Mathematical Society meeting in Atlanta, GA, January 3-4, 2005. This book brings together articles on mathematical aspects of tomography and
Based on the lectures in the Short Course The Radon Transform and Applications to Inverse Problems at the American Mathematical Society meeting in Atl...
Presents a collection of articles about fractal geometry. This work covers analysis, number theory, dynamical systems, multifractals, probability and statistical mechanics and applications. It is suitable for graduate students and researchers interested in fractal geometry and its applications.
Presents a collection of articles about fractal geometry. This work covers analysis, number theory, dynamical systems, multifractals, probability and ...
This work is based on the AMS Short Course The Unreasonable Effectiveness of Number Theory held in Orono, Maine, USA, in August 1991. The course provided some views into the great breadth of application of number theory outside cryptology and highlighted the power and applicability of number-theoretic ideas. Because number theory is one of the most accessible areas of mathematics, this book should be of use to a general mathematical audience as well as to researchers in other areas of science and engineering who wish to learn how number theory is being applied outside of mathematics.
This work is based on the AMS Short Course The Unreasonable Effectiveness of Number Theory held in Orono, Maine, USA, in August 1991. The course provi...
