Mathematics

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Elastic Waves: High Frequency Theory

Vassily Babich, Aleksei Kiselev
April 03, 2018

Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in...

Knot Theory: Second Edition

Vassily Olegovich Manturov
March 29, 2018

Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the...

A Mathematica Primer for Physicists

Jim Napolitano
March 28, 2018

"…an excellent text for either a short course or self-study… Professor Napolitano has figured out what students really need, and found a way to deliver it… I have found everything he writes to be worthy of my serious attention…" —Peter D. Persans, Professor of Physics and Director, Center for...

Differential Equations: A Problem Solving Approach Based on MATLAB

P. Mohana Shankar
March 28, 2018

The book takes a problem solving approach in presenting the topic of differential equations. It provides a complete narrative of differential equations showing the theoretical aspects of the problem (the how's and why's), various steps in arriving at solutions, multiple ways of obtaining solutions...

Mathematics of Keno and Lotteries

Mark Bollman
March 27, 2018

Mathematics of Keno and Lotteries is an elementary treatment of the mathematics, primarily probability and simple combinatorics, involved in lotteries and keno. Keno has a long history as a high-advantage, high-payoff casino game, and state lottery games such as Powerball are mathematically similar...

Modeling and Simulation of Everyday Things

Michael W. Roth
March 19, 2018

How can computer modeling and simulation tools be used to understand and analyze common situations and everyday problems? Readers will find here an easy-to-follow, enjoyable introduction for anyone even with little background training. Examples are incorporated throughout to stimulate interest and...

Matrix Inequalities and Their Extensions to Lie Groups

Tin-Yau Tam, Xuhua Liu
March 16, 2018

Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups. It is the first systematic work in the area and will appeal to linear algebraists...

High-Performance Computing in Finance: Problems, Methods, and Solutions

M. A. H. Dempster, Juho Kanniainen, John Keane, Erik Vynckier
March 12, 2018

High-Performance Computing (HPC) delivers higher computational performance to solve problems in science, engineering and finance. There are various HPC resources available for different needs, ranging from cloud computing– that can be used without much expertise and expense – to more tailored...

Monomial Algebras, Second Edition

Rafael Villarreal
March 12, 2018

Monomial Algebras, Second Edition presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs,...

Competitive Math for Middle School: Algebra, Probability, and Number Theory

Vinod Krishnamoorthy
March 06, 2018

The 39 self-contained sections in this book present worked-out examples as well as many sample problems categorized by the level of difficulty as Bronze, Silver, and Gold in order to help the readers gauge their progress and learning. Detailed solutions to all problems in each section are provided...

Concise Optics: Concepts, Examples, and Problems

Ajawad I. Haija, M. Z. Numan, W. Larry Freeman
March 01, 2018

This introductory text is a reader friendly treatment of geometrical and physical optics emphasizing problems and solved examples with detailed analysis and helpful commentary. The authors are seasoned educators with decades of experience teaching optics. Their approach is to gradually present...

The Second-Order Adjoint Sensitivity Analysis Methodology

Dan Gabriel Cacuci
February 28, 2018

The Second-Order Adjoint Sensitivity Analysis Methodology generalizes the First-Order Theory presented in the author’s previous books published by CRC Press. This breakthrough has many applications in sensitivity and uncertainty analysis, optimization, data assimilation, model calibration, and...

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