Mathematics

Mathematics for Physics

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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...

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...

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...

Applied Functional Analysis, Third Edition

J. Tinsley Oden, Leszek Demkowicz
January 16, 2018

Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science. This well-received textbook starts with a thorough...

Mathematical Methods for Physics and Engineering

Mattias Blennow
December 18, 2017

Suitable for advanced undergraduate and graduate students, this new textbook contains an introduction to the mathematical concepts used in physics and engineering. The entire book is unique in that it draws upon applications from physics, rather than mathematical examples, to ensure students are...

Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems

Andrei D. Polyanin, Valentin F. Zaitsev
November 03, 2017

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field...

Willmore Energy and Willmore Conjecture

Magdalena D. Toda
October 13, 2017

This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry. While it focuses on Willmore energy and related conjectures, it also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus...

Variational-Hemivariational Inequalities with Applications

Mircea Sofonea, Stanislaw Migorski
October 13, 2017

This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its...

An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology

Sasho Kalajdzievski, Derek Krepski, Damjan Kalajdzievski
September 12, 2017

This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered problemsappearing in first part of the book (Topology)....

Advanced Differential Quadrature Methods

Zhi Zong, Yingyan Zhang
June 14, 2017

Modern Tools to Perform Numerical DifferentiationThe original direct differential quadrature (DQ) method has been known to fail for problems with strong nonlinearity and material discontinuity as well as for problems involving singularity, irregularity, and multiple scales. But now researchers in...

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