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Intermediate Algebra
It is essential to lay a solid foundation in mathematics if a student is to be competitive in today’s global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, Elementary and Intermediate Algebra. This textbook b…
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How We Got from There to Here A Story of Real Analysis
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to t…
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A Gentle Introduction to the Art of Mathematics Version 3.1
This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.It is w…
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Fundamentals of Mathematics
Fundamentals of Mathematics is a work text that covers the traditional study in a modern pre-algebra course, as well as the topics of estimation, elementary analytic geometry and introductory algebra. It is intended for students who:have had previous courses in pre-algebra wish to meet the prerequisites of higher level courses such as elementary algebraneed to review fundamental mathematical co…
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Forall X An Introduction to Formal Logic
Forall X is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading.This books treats symbolization, formal semantics, and proo…
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A First Course in Linear Algebra Revision A
Linear Algebra: A First Course presents an introduction to the fascinating subject of linear algebra. As the title suggests, this text is designed as a first course in linear algebra for students who have a reasonable understanding of basic algebra. Major topics of linear algebra are presented in detail, with proofs of important theorems provided. Connections to additional topics covered in adv…
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A First Course in Linear Algebra
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically students will have taken calculus, but it is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transfor…
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Fast Fourier Transforms
This book focuses on the discrete Fourier transform (D.F.T.), discrete convolution and, particularly, the fast algorithms to calculate them. These topics have been at the center of digital signal processing since its beginning, and new results in hardware, theory and applications continue to keep them important and exciting. This book uses an index map, a polynomial decomposition, an operator f…
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Elliptic Curves
This book uses the beautiful theory of elliptic curves to introduce the reader to some of the deeper aspects of number theory. It assumes only a knowledge of the basic algebra, complex analysis and topology usually taught in advanced undergraduate or first-year graduate courses.
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Elementary Differential Equations With Boundary Value Problems
Elementary Differential Equations With Boundary Value Problems is written for students in science, engineering and mathematics who have completed calculus through partial differentiation. If your syllabus includes Chapter 10 (Linear Systems of Differential Equations), your students should have some preparation in linear algebra. In writing this book I have been guided by the these principles: …
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