Mathematics

Introduction

In 2001, I began retaking calculus to refresh my mathematics skills before taking courses in statistics; I also took a course in linear algrebra. These are the mathematics books I’ve accumulated. I provide a separate page for probability and statistics.

Publisher’s information	Comments
Algebra & Trigonometry 6th Edition by Michael Sullivan 2002 Prentice Hall ISBN 0-13-091465-7	This is a beautifully produced, full-color text that covers the following topics: equations and inequalities graphs functions and their graphs polynomial and rationa functions zeros of a polynomial function exponential and logarithmic functions trigonometric functions analytic geometry applications of trigonometric functions polar coordinates; vectors analytic geometry systems of equations and inequalities sequences; inductions; the binomial theorem counting and probability
Calculus Concepts and Contexts 2nd Edition by James Stewart 2001 Brooks/Cole ISBN 1-534-37718-1	This is another beautifully produced, full-color text. At Boston University, this text was used for a three-semester series in calculus. The text covers the following topics: functions and models limits and derivatives differentiation rules applications of differentiation integrals applications of integration differential equations infinite sequences and series vectors and the geometry of space vector functions partial derivatives multiple integrals vector calculus
Differential Equations 2nd Edition by Paul Blanchard, Robert L. Devaney, and Glen R. Hall 2002 Brooks/Cole ISBN 0-534-38514-1	This text provides a modern treatment of differential equations. In addition to covering the few differential equations that can be solved analytically, this book covers in detail qualitative and numerical techniques for attacking differential equations. The text is the product of the National Science Foundation Boston University Differential Equations Project. The text covers the following topics: first-order differential equations first-order systems linear systems forcing and resonance nonlinear systems LaPlace transforms numerical methods discrete dynamical systems The text is printed in two colors, blue and black.
Elementary Real and Complex Analysis by Georgi El Shilov translated and edited by Richard A. Silverman 1973 Dover Publications, Inc. ISBN 0-486-68922-0	This inexpensive text is aimed at undergraduates in math, science, and engineering. The chapters are: Real numbers Sets Metric spaces Limits Continuous functions Series The derivative Higher derivatives The integral Analytic functions Improper integrals
Linear Algebra and Its Applications 3rd edition by David C. Lay 2003 Addison Wesley ISBN 0-201-70970-8	This is a 21st-century linear algebra book, full of theory and applications. The book begins with systems of linear equations and finishes with the singular value decomposition and principal component analysis. The applications, which are conveniently listed with page numbers on the inside of the front cover, include: biology and ecology business and economics computers and computer science control theory electrical engineering engineering mathematics numerical linear algebra physical sciences statistics The book’s chapters are: Linear equations in linear algebra Matrix algrebra Determinants Vector spaces Eigenvalues and eigenvectors Orthogonality and least squares symmetric matrices and quadratic forms This is an excellent book.
Matrices and Linear Algebra 2nd edition by Hans Schneider and George Phillip Barker 1973 Dover Publications, Inc. ISBN 0-486-66014-1	This book covers the theory of linear algebra without applications. The chapters are: The algebra of matrices Linear equations Vector spaces Determinants Linear transformations Eigenvalues and eigenvectors Inner product spaces Applications to differential equations