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Book
Exponential data fitting and its applications
Authors: --- ---
Year: 2010 Publisher: [Sharjah, United Arab Emirates] : Bentham eBooks,

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Abstract

Real and complex exponential data fitting is an important activity in many different areas of science and engineering, ranging from Nuclear Magnetic Resonance Spectroscopy and Lattice Quantum Chromodynamics to Electrical and Chemical Engineering, Vision and Robotics. The most commonly used norm in the approximation by linear combinations of exponentials is the l2 norm (sum of squares of residuals), in which case one obtains a nonlinear separable least squares problem. A number of different methods have been proposed through the years to solve these types of problems and new applications appear

The role of mathematics in science
Authors: --- ---
ISBN: 0883859459 9780883859452 0883856301 9780883856307 088385600X 9780883856000 Year: 1984 Publisher: Washington, DC : Mathematical Association of America,

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The Role of Mathematics in Science aims to illustrate the many ways in which mathematical methods have helped discovery in science. It is aimed at a group of readers who are interested in mathematics beyond the level of high school. The authors occasionally use some calculus and more intricate arguments. The book should appeal to college students and general readers with some background in mathematics. The authors state that, 'If we succeed in giving an impression of the beauty and power of mathematical reasoning in science, the purpose of our work will have been achieved.' This book includes the laws of levers and inclined planes, the laws of exponential versus limited population growth, ray optics, and relativity.

Green's functions and ordered exponentials
Authors: ---
ISBN: 9780511535079 9780521443906 9780521448628 0511020627 9780511020629 0511535074 9780511037498 051103749X 051114833X 9780511148330 9780511052736 0511052731 1280416688 9781280416682 0521443903 052144862X 1107126541 9786610416684 0511177860 0511305281 Year: 2002 Publisher: Cambridge, UK ; New York : Cambridge University Press,

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A detailed exposition, with applications to problems in potential theory and quantum field theory.


Book
Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics
Authors: --- --- --- ---
ISBN: 3319520423 3319520415 Year: 2017 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015. The contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low regularity or dispersive perturbations. It also investigates several physical phenomena where such systems are relevant, such as nonlinear optics, shock theory (stability, relaxation) and fluid mechanics (boundary layers, water waves, Euler equations, geophysical flows, etc.). It is a valuable resource for researchers in these fields. .


Book
Exact Exponential Algorithms
Authors: ---
ISBN: 364216532X 9786613567956 1280390034 3642165338 Year: 2010 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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Today most computer scientists believe that NP-hard problems cannot be solved by polynomial-time algorithms. From the polynomial-time perspective, all NP-complete problems are equivalent but their exponential-time properties vary widely. Why do some NP-hard problems appear to be easier than others? Are there algorithmic techniques for solving hard problems that are significantly faster than the exhaustive, brute-force methods? The algorithms that address these questions are known as exact exponential algorithms. The history of exact exponential algorithms for NP-hard problems dates back to the 1960s. The two classical examples are Bellman, Held and Karp’s dynamic programming algorithm for the traveling salesman problem and Ryser’s inclusion–exclusion formula for the permanent of a matrix. The design and analysis of exact algorithms leads to a better understanding of hard problems and initiates interesting new combinatorial and algorithmic challenges. The last decade has witnessed a rapid development of the area, with many new algorithmic techniques discovered. This has transformed  exact algorithms into a very active research field. This book provides an introduction to the area and explains the most common algorithmic techniques, and the text is supported throughout with exercises and detailed notes for further reading. The book is intended for advanced students and researchers in computer science, operations research, optimization and combinatorics.  .

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