Mathematics

Applied 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...

Elementary Differential Equations

Kenneth Kuttler
November 17, 2017

Elementary Differential Equations presents the standard material in a first course on differential equations, including all standard methods which have been a part of the subject since the time of Newton and the Bernoulli brothers. The emphasis in this book is on theory and methods and differential...

Mathematical Modelling of Waves in Multi-Scale Structured Media

Alexander B. Movchan, Natasha V. Movchan, Ian S. Jones, Daniel J. Colquitt
November 13, 2017

Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling...

Ordinary Differential Equations: Applications, Models, and Computing

Charles Roberts
October 31, 2017

In the traditional curriculum, students rarely study nonlinear differential equations and nonlinear systems due to the difficulty or impossibility of computing explicit solutions manually. Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a...

Image and Video Processing in the Compressed Domain

Jayanta Mukhopadhyay
October 31, 2017

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
October 24, 2017

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...

Systems Science: Methodological Approaches

Yi Lin, Xiaojun Duan, Chengli Zhao, Li Da Xu
October 23, 2017

By making use of the principles of systems science, the scientific community can explain many complicated matters of the world and shed new light on unsettled problems. Each real science has its own particular methodology for not only qualitative but also quantitative analyses, so it is important...

Nonlinear Reaction-Diffusion-Convection: Lie and Conditional Symmetry, exact Solutions and Their Applications

Roman Cherniha, Mykola Serov, Oleksii Pliukhin
October 19, 2017

It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and...

Applied Differential Equations with Boundary Value Problems

Vladimir Dobrushkin
October 16, 2017

Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. This new edition of the author’s...

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...

Optimization and Differentiation

Simon Serovajsky
October 13, 2017

Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal...

Distributed Strategic Learning for Wireless Engineers

Hamidou Tembine
October 12, 2017

Although valued for its ability to allow teams to collaborate and foster coalitional behaviors among the participants, game theory’s application to networking systems is not without challenges. Distributed Strategic Learning for Wireless Engineers illuminates the promise of learning in dynamic...

Concise Introduction to Linear Algebra

Qingwen Hu
September 21, 2017

Concise Introduction to Linear Algebra deals with the subject of linear algebra, covering vectors and linear systems, vector spaces, orthogonality, determinants, eigenvalues and eigenvectors, singular value decomposition. It adopts an efficient approach to lead students from vectors, matrices...

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