Advanced Calculus with Applications in Statistics~tqw~ darksiderg

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Advanced Calculus with Applications in Statistics
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Release NotesAn application-oriented and highly rigorous introduction to the central themes
of advanced calculus for statistics students, with enough theoretical
explanation to be suitable for mathematics students. Topics include an
introduction to set theory, linear algebra, limits and continuity,
differentiation, infinite sequences and series, integration, multidimensional
calculus, optimization in statistics, and approximation of functions. Exercises
and an annotated bibliography are included.

Table of Contents

Preface
Preface to the First Edition
1 An Introduction to Set Theory 1
2 Basic Concepts in Linear Algebra 21
3 Limits and Continuity of Functions 57
4 Differentiation 93
5 Infinite Sequences and Series 132
6 Integration 205
7 Multidimensional Calculus 261
8 Optimization in Statistics 327
9 Approximation of Functions 403
10 Orthogonal Polynomials 437
11 Fourier Series 471
12 Approximation of Integrals 517
App.: Solutions to Selected Exercises 557
General Bibliography 652
Index 665

Product Details

* ISBN: 0471391042
* ISBN-13: 9780471391043
* Format: Textbook Hardcover, 704pp
* Publisher: Wiley, John & Sons, Incorporated
* Pub. Date: November 2002
* Edition Description: REV
* Edition Number: 2
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