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 Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications)The purpose of this reviewarticle is to serve as an introduction and at the same time, as an invitation to the theory of towers of function fields over finite fields. More specifically, we treat here the case of explicit towers; i.e., towers where the function fields are given by explicit equations. The asymptotic behaviour of the genus and of the... |  |  Real Analysis
This book is written by award-winning author, Frank Morgan. It offers a simple and sophisticated point of view, reflecting Morgan's insightful teaching, lecturing, and writing style. Intended for undergraduates studying real analysis, this book builds the theory behind calculus directly from the basic concepts of real numbers, limits, and... |  |  Schaum's Outline Series Theory and Problems of Projective Geometry
The purpose of this book is to provide a first course in Projective Geometry for
undergraduate majors in mathematics and for prospective teachers of high school
geometry. For the former it will furnish an introduction to the important concept of
projective spaces; for the latter it will introduce a more general geometry from which,... |
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 The History of Approximation Theory: From Euler to BernsteinThe problem of approximating a given quantity is one of the oldest challenges faced by mathematicians. Its increasing importance in contemporary mathematics has created an entirely new area known as Approximation Theory. The modern theory was initially developed along two divergent schools of thought: the Eastern or Russian group, employing... |  |  Mathematical Statistics for Economics and Business
Mathematical Statistics for Economics and Business, Second Edition, provides a comprehensive introduction to the principles of mathematical statistics which underpin statistical analyses in the fields of economics, business, and econometrics. The selection of topics in this textbook is designed to provide students with a... |  |  Advanced Modern Algebra
This book's organizing principle is the interplay between groups and rings, where “rings” includes the ideas of modules. It contains basic definitions, complete and clear theorems (the first with brief sketches of proofs), and gives attention to the topics of algebraic geometry, computers, homology, and... |
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