Applied Mathematics

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Differential Equations with Applications and Historical Notes, Third Edition


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


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...

Optimization and Differentiation

Simon Serovajsky
September 21, 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...

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...

Data Science Foundations: Geometry and Topology of Complex Hierarchic Systems and Big Data Analytics

Fionn Murtagh
September 07, 2017

"Data Science Foundations is most welcome and, indeed, a piece of literature that the field is very much in need of…quite different from most data analytics texts which largely ignore foundational concepts and simply present a cookbook of methods…a very useful text and I would certainly use it in...

Combinatorics, Second Edition

Nicholas Loehr
August 30, 2017

Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of...

New Concepts and Trends of Hybrid Multiple Criteria Decision Making

Gwo-Hshiung Tzeng, Kao-Yi Shen
August 16, 2017

When people or computers need to make a decision, typically multiple conflicting criteria need to be evaluated; for example, when we buy a car, we need to consider safety, cost and comfort. Multiple criteria decision making (MCDM) has been researched for decades. Now as the rising trend of big-data...

An Introduction to Linear Algebra

Ravi P. Agarwal, Elena Cristina Flaut
July 28, 2017

The techniques of linear algebra are used extensively across the applied sciences, and in many different areas of algebra such as group theory, module theory, representation theory, ring theory, and Galois theory. Written by experienced researchers with a decades of teaching experience,...

Monomial Algebras, Second Edition

Rafael Villarreal
July 01, 2017

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,...

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

Ronald E. Mickens
July 01, 2017

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...

Introduction to Theory of Control in Organizations

Vladimir N. Burkov, Mikhail Goubko, Nikolay Korgin, Dmitry Novikov
July 01, 2017

Introduction to Theory of Control in Organizations explains how methodologies from systems analysis and control theory, including game and graph theory, can be applied to improve organizational management. The theory presented extends the traditional approach to management science by introducing...

Green’s Functions with Applications, Second Edition

Dean G. Duffy
July 01, 2017

Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s function. This fully revised Second Edition retains the same purpose, but...

Rough Multiple Objective Decision Making

Jiuping Xu, Zhimiao Tao
May 31, 2017

Under intense scrutiny for the last few decades, Multiple Objective Decision Making (MODM) has been useful for dealing with the multiple-criteria decisions and planning problems associated with many important applications in fields including management science, engineering design, and...

Measurement Data Modeling and Parameter Estimation

Zhengming Wang, Dongyun Yi, Xiaojun Duan, Jing Yao, Defeng Gu
May 31, 2017

Measurement Data Modeling and Parameter Estimation integrates mathematical theory with engineering practice in the field of measurement data processing. Presenting the first-hand insights and experiences of the authors and their research group, it summarizes cutting-edge research to facilitate the...