 An Introduction to Partial Differential Equations Daniel J. Arrigo This book is an introduction to methods for solving partial differential equations (PDEs). After the introduction of the main four PDEs that could be considered the cornerstone of Applied Mathematics, the reader is introduced to a variety of PDEs tha... Publication Date: December, 2017
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 Numerical Integration of Space Fractional Partial Differential Equations, Volume 2 Younes Salehi, William E. Schiesser Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, ... Publication Date: December, 2017
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 Numerical Integration of Space Fractional Partial Differential Equations, Volume 1 Younes Salehi, William E. Schiesser Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, ... Publication Date: November, 2017
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 Aspects of Differential Geometry III Esteban CalvinoLouzao, Eduardo GarciaRio, Peter Gilkey, JeongHyeong Park, Ramon VazquezLorenzo Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book III is aimed at the firstyear graduate level but... Publication Date: May, 2017
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 The Fundamentals of Analysis for Talented Freshmen Peter M. Luthy, Guido L. Weiss, Steven S. Xiao This book assumes the students know some of the basic facts about Calculus. We are very rigorous and expose them to the proofs and the ideas which produce them. In three chapters, this book covers these number systems and the material usually found i... Publication Date: August, 2016
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 Aspects of Differential Geometry I Peter B. Gilkey, Jeong Hyoeng Park, Ramon VazquezLorenzo Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. In Book I, we focus on preliminaries. Chapter 1 provid... Publication Date: March, 2015
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 Aspects of Differential Geometry II Peter Gilkey, Jeong Hyoeng Park, Ramon VazquezLorenzo Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book II deals with more advanced material than Book I ... Publication Date: December, 2014
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 An Easy Path to Convex Analysis and Applications Boris S. Mordukhovich, Mau Nam Nguyen, Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathemat... Publication Date: 12/01/2013
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 Applications of Affine and Weyl Geometry Eduardo GarciaRio, Peter Gilkey, Stana Nikcevic, Ramon VazquezLorenzo, PseudoRiemannian geometry is, to a large extent, the study of the LeviCivita connection, which is the unique torsionfree connection compatible with the metric structure. There are, however, other affine connections which arise in different context... Publication Date: 05/01/2013
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 Matrices in Engineering Problems Marvin Tobias This book is intended as an undergraduate text introducing matrix methods as they relate to engineering problems. It begins with the fundamentals of mathematics of matrices and determinants. Matrix inversion is discussed, with an introduction of the ... Publication Date: 01/01/2011
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 Essentials of Applied Mathematics for Engineers and Scientists, Second Edition Robert Watts The Second Edition of this popular book on practical mathematics for engineers includes new and expanded chapters on perturbation methods and theory. This is a book about linear partial differential equations that are common in engineering and the ph... Publication Date: 01/01/2012
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 Chaotic Maps Goong Chen, Yu Huang This book consists of lecture notes for a semesterlong introductory graduate course on dynamical systems and chaos taught by the authors at Texas A&M University and Zhongshan University, China. There are ten chapters in the main body of the book, co... Publication Date: 01/01/2011
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 The Integral Steven G. Krantz This book treats all of the most commonly used theories of the integral. After motivating the idea of integral, we devote a full chapter to the Riemann integral and the next to the Lebesgue integral. Another chapter compares and contrasts the two the... Publication Date: 01/01/2011
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 Statistics is Easy! 2nd Edition Dennis Shasha, Manda Wilson Statistics is the activity of inferring results about a population given a sample. Historically, statistics books assume an underlying distribution to the data (typically, the normal distribution) and derive results under that assumption. Unfortunate... Publication Date: 01/01/2010
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 Lectures on Financial Mathematics Greg Anderson, Alec Kercheval This is a short book on the fundamental concepts of the noarbitrage theory of pricing financial derivatives. Its scope is limited to the general discrete setting of models for which the set of possible states is finite and so is the set of possible ... Publication Date: 01/01/2010
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 The Geometry of Walker Manifolds Peter Gilkey, Miguel BrozosVazquez, Eduardo GarciaRio, Stana Nikcevic This book, which focuses on the study of curvature, is an introduction to various aspects of pseudoRiemannian geometry. We shall use Walker manifolds (pseudoRiemannian manifolds which admit a nontrivial parallel null plane field) to exemplify some... Publication Date: 01/01/2009
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 Jordan Canonical Form Steven H. Weintraub Jordan Canonical Form (JCF) is one of the most important, and useful, concepts in linear algebra. The JCF of a linear transformation, or of a matrix, encodes all of the structural information about that linear transformation, or matrix. This book is ... Publication Date: 01/01/2008
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 An Introduction to Multivariable Mathematics Leon Simon, The text is designed for use in a fortylecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis.
The core material of the book is arranged to allow for the main introdu... Publication Date: 01/01/2008
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 A Gyrovector Space Approach to Hyperbolic Geometry Abraham Ungar, The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some regard themselves as excluded from the profound insights of hyperbolic geometry so that this enormous portion of... Publication Date: 01/01/2008
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