Mathematics and Statistics

SERIES EDITOR:
Steven G. Krantz, Washington University, St. Louis

Print ISSN: 1938-1743 / E-ISSN: 1938-1751

	PDE Models for Atherosclerosis Computer Implementation in R William E. Schiesser Atherosclerosis is a pathological condition of the arteries in which plaque buildup and stiffening (hardening) can lead to stroke, myocardial infarction (heart attacks), and even death. Cholesterol in the blood is a key marker for atherosclerosis, wi… Publication Date: November, 2018 Read More
	C Programming and Numerical Analysis Seiichi Nomura This book is aimed at those in engineering/scientific fields who have never learned programming before but are eager to master the C language quickly so as to immediately apply it to problem solving in numerical analysis. The book skips unnecessary f… Publication Date: March, 2018 Read More
	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 Read More
	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 Read More
	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 Read More
	Aspects of Differential Geometry III Esteban Calvino-Louzao, Eduardo Garcia-Rio, Peter Gilkey, JeongHyeong Park, Ramon Vazquez-Lorenzo 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 first-year graduate level but… Publication Date: May, 2017 Read More
	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 Read More
	Aspects of Differential Geometry I Peter B. Gilkey, Jeong Hyoeng Park, Ramon Vazquez-Lorenzo 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 Read More
	Aspects of Differential Geometry II Peter Gilkey, Jeong Hyoeng Park, Ramon Vazquez-Lorenzo 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 Read More
	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 Read More
	Applications of Affine and Weyl Geometry Eduardo Garcia-Rio, Peter Gilkey, Stana Nikcevic, Ramon Vazquez-Lorenzo, Pseudo-Riemannian geometry is, to a large extent, the study of the Levi-Civita connection, which is the unique torsion-free connection compatible with the metric structure. There are, however, other affine connections which arise in different context… Publication Date: 05/01/2013 Read More
	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 Read More
	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 Read More
	Chaotic Maps Goong Chen, Yu Huang This book consists of lecture notes for a semester-long 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 Read More
	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 Read More
	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 Read More
	Lectures on Financial Mathematics Greg Anderson, Alec Kercheval This is a short book on the fundamental concepts of the no-arbitrage 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 Read More
	The Geometry of Walker Manifolds Peter Gilkey, Miguel Brozos-Vazquez, Eduardo Garcia-Rio, Stana Nikcevic This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use Walker manifolds (pseudo-Riemannian manifolds which admit a non-trivial parallel null plane field) to exemplify some… Publication Date: 01/01/2009 Read More
	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 Read More
	An Introduction to Multivariable Mathematics Leon Simon, The text is designed for use in a forty-lecture 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 Read More