Mathematics and Statistics

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

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



Numerical Integration of Space Fractional Partial Differential Equations, Volume 2 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 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 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

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The Fundamentals of Analysis for Talented Freshmen 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 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

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Aspects of Differential Geometry II 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

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An Easy Path to Convex Analysis and Applications An Easy Path to Convex Analysis and Applications
Boris S. Mordukhovich, Nguyen Mau Nam,
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 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

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Matrices in Engineering Problems 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 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 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

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The Integral 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 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 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

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The Geometry of Walker Manifolds 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

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Jordan Canonical Form 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: 01/01/2009

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Jordan Canonical Form 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 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

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A Gyrovector Space Approach to Hyperbolic Geometry 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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