Mathematics

Mathematics for Physics

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

Ronald E. Mickens
February 20, 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...

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...

Quantum Continuous Variables: A Primer of Theoretical Methods

Alessio Serafini
June 07, 2017

Quantum Continuous Variables introduces the theory of continuous variable quantum systems, from its foundations based on the framework of Gaussian states to modern developments, including its applications to quantum information and forthcoming quantum technologies. This new book addresses the...

Essentials of Topology with Applications

Steven G. Krantz
May 31, 2017

Brings Readers Up to Speed in This Important and Rapidly Growing Area Supported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology....

Quantum Trajectories

Pratim Kumar Chattaraj
May 22, 2017

The application of quantum mechanics to many-particle systems has been an active area of research in recent years as researchers have looked for ways to tackle difficult problems in this area. The quantum trajectory method provides an efficient computational technique for solving both stationary...

Advanced Classical Mechanics

Bijan Bagchi
April 28, 2017

This book is designed to serve as a textbook for postgraduates, researchers of applied mathematics, theoretical physics and students of engineering who need a good understanding of classical mechanics. In this book emphasis has been placed on the logical ordering of topics and appropriate...

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