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Advanced Calculus with Applications in Statistics <br />
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General Information<br />
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Type.................: Ebook<br />
Part Size............: 8,065,024 bytes<br />
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Posted by............: ~tqw~<br />
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Release Notes<br />
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An application-oriented and highly rigorous introduction to the central themes <br />
of advanced calculus for statistics students, with enough theoretical <br />
explanation to be suitable for mathematics students. Topics include an <br />
introduction to set theory, linear algebra, limits and continuity, <br />
differentiation, infinite sequences and series, integration, multidimensional <br />
calculus, optimization in statistics, and approximation of functions. Exercises <br />
and an annotated bibliography are included. <br />
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Table of Contents<br />
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Preface <br />
Preface to the First Edition <br />
1 An Introduction to Set Theory 1<br />
2 Basic Concepts in Linear Algebra 21<br />
3 Limits and Continuity of Functions 57<br />
4 Differentiation 93<br />
5 Infinite Sequences and Series 132<br />
6 Integration 205<br />
7 Multidimensional Calculus 261<br />
8 Optimization in Statistics 327<br />
9 Approximation of Functions 403<br />
10 Orthogonal Polynomials 437<br />
11 Fourier Series 471<br />
12 Approximation of Integrals 517<br />
App.: Solutions to Selected Exercises 557<br />
General Bibliography 652<br />
Index 665<br />
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Product Details<br />
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* ISBN: 0471391042<br />
* ISBN-13: 9780471391043<br />
* Format: Textbook Hardcover, 704pp<br />
* Publisher: Wiley, John & Sons, Incorporated<br />
* Pub. Date: November 2002<br />
* Edition Description: REV<br />
* Edition Number: 2<br />
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