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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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Elementary Algebra 2e
Elementary Algebra 2e is designed to meet scope and sequence requirements for a one-semester elementary algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to…
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- 9781951693206
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Large Scale Inverse Problems
This book is thesecond volume of a three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" that took placein Linz, Austria, October 3-7, 2011. This volume addresses the common ground in the mathematical and computational procedures required for large-scale inverse problems and data assimilation in forefront applications. …
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- 9783110282221
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Chapter Measures of Pseudorandomness
In the second half of the 1990s Christian Mauduit and András Sárközy [86] introduced a new quantitative theory of pseudorandomness of binary sequences. Since then numerous papers have been written on this subject and the original theory has been generalized in several directions. Here I give a survey of some of the most important results involving the new quantitative pseudorandom measures o…
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- 9783110283600
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