linear algebra and linear models universitext

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Linear Algebra And Linear Models

Author : Ravindra B. Bapat
ISBN : 9781447127390
Genre : Mathematics
File Size : 34. 7 MB
Format : PDF
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Linear Algebra and Linear Models comprises a concise and rigorous introduction to linear algebra required for statistics followed by the basic aspects of the theory of linear estimation and hypothesis testing. The emphasis is on the approach using generalized inverses. Topics such as the multivariate normal distribution and distribution of quadratic forms are included. For this third edition, the material has been reorganised to develop the linear algebra in the first six chapters, to serve as a first course on linear algebra that is especially suitable for students of statistics or for those looking for a matrix theoretic approach to the subject. Other key features include: coverage of topics such as rank additivity, inequalities for eigenvalues and singular values; a new chapter on linear mixed models; over seventy additional problems on rank: the matrix rank is an important and rich topic with connections to many aspects of linear algebra such as generalized inverses, idempotent matrices and partitioned matrices. This text is aimed primarily at advanced undergraduate and first-year graduate students taking courses in linear algebra, linear models, multivariate analysis and design of experiments. A wealth of exercises, complete with hints and solutions, help to consolidate understanding. Researchers in mathematics and statistics will also find the book a useful source of results and problems.

A Course In Model Theory

Author : Bruno Poizat
ISBN : 0387986553
Genre : Mathematics
File Size : 36. 42 MB
Format : PDF, Kindle
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This book, translated from the French, is an introduction to first-order model theory. The first six chapters are very basic: starting from scratch, they quickly reach the essential, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. The next chapter introduces logic via the study of the models of arithmetic, and the following is a combinatorial tool-box preparing for the chapters on saturated and prime models. The last ten chapters form a rather complete but nevertheless accessible exposition of stability theory, which is the core of the subject.

Classical Theory Of Algebraic Numbers

Author : Paulo Ribenboim
ISBN : 0387950702
Genre : Mathematics
File Size : 60. 48 MB
Format : PDF
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After a brief introduction reviewing the concepts of principal ideal domains and commutative fields, this book discusses the theory of algebraic numbers. The theorems and definitions are carefully motivated, and the author frequently stops to explain how things fit together and what will come next. Many exercises and useful examples provide a solid background for more recent topics.

Matrix Algebra For Linear Models

Author : Marvin H. J. Gruber
ISBN : 9781118800416
Genre : Mathematics
File Size : 52. 88 MB
Format : PDF, ePub, Docs
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Mathematical Modeling For The Life Sciences

Author : Jacques Istas
ISBN : 9783540278771
Genre : Mathematics
File Size : 41. 72 MB
Format : PDF, Kindle
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Provides a wide range of mathematical models currently used in the life sciences Each model is thoroughly explained and illustrated by example Includes three appendices to allow for independent reading

Algebras Of Linear Transformations

Author : Douglas R. Farenick
ISBN : 9781461300977
Genre : Mathematics
File Size : 90. 35 MB
Format : PDF, ePub, Mobi
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This book studies algebras and linear transformations acting on finite-dimensional vector spaces over arbitrary fields. It is written for readers who have prior knowledge of algebra and linear algebra. The goal is to present a balance of theory and example in order for readers to gain a firm understanding of the basic theory of finite-dimensional algebras and to provide a foundation for subsequent advanced study in a number of areas of mathematics.

Understanding And Using Linear Programming

Author : Jiri Matousek
ISBN : 9783540307174
Genre : Mathematics
File Size : 53. 7 MB
Format : PDF, ePub, Mobi
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The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".

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