Mathematics

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Differential Equations with Applications and Historical Notes, Third Edition

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George F. Simmons
September 27, 2016

Fads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one’s own time. An unfortunate effect of the predominance of fads is that if a student doesn’t learn about such worthwhile topics as the...

Model-free Hedging: A Martingale Optimal Transport Viewpoint

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Pierre Henry-Labordere
May 15, 2017

Model-free Hedging: A Martingale Optimal Transport Viewpoint focuses on the computation of model-independent bounds for exotic options consistent with market prices of liquid instruments such as Vanilla options. The author gives an overview of Martingale Optimal Transport, highlighting the differenc...

Principles of Analysis: Measure, Integration, Functional Analysis, and Applications

Hugo D. Junghenn
April 30, 2018

Principles of Analysis: Measure, Integration, Functional Analysis, and Applications prepares readers taking advanced courses in analysis, probability, harmonic analysis, and applied mathematics at the doctoral level. It is also designed so that the reader or instructor may select topics suitable to...

Difference Equations: Theory, Applications and Advanced Topics, Third Edition

Ronald E. Mickens
April 13, 2018

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of...

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...

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...

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,...

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...

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

Daniele Bertaccini, Fabio Durastante
February 28, 2018

This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the...

Engineering Mathematics with MATLAB

Won Y. Yang, Young K. Choi, Jaekwon Kim, Man Cheol Kim, H. Jin Kim, Taeho Im
February 26, 2018

The aim of this book is to help the readers understand the concepts, techniques, terminologies, and equations appearing in the existing books on engineering mathematics using MATLAB. Using MATLAB for computation would be otherwise time consuming, tedious and error-prone. The readers are recommended...

Twists, Tilings, and Tessellations: Mathematical Methods for Geometric Origami

Robert J. Lang
February 22, 2018

Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many...

Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

Santanu Saha Ray, Arun Kumar Gupta
January 31, 2018

The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical...

Image and Video Processing in the Compressed Domain

Jayanta Mukhopadhyay
January 24, 2018

As more images and videos are becoming available in compressed formats, researchers have begun designing algorithms for different image operations directly in their domains of representation, leading to faster computation and lower buffer requirements. Image and Video Processing in the Compressed...

CRC Standard Mathematical Tables and Formulas, 33rd Edition

Daniel Zwillinger
January 11, 2018

Containing more than 6,000 entries, CRC Standard Mathematical Tables and Formulas, 33rd Edition continues to provide essential formulas, tables, figures and detailed descriptions. The newest edition of this popular series also features many diagrams, group tables, and integrals that are not...

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