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1. Expansions and Asymptotics for Statistics (Chapman & Hall/CRC Monographs on Statistics & Applied Probability) by Christopher G. Small | |
Hardcover: 357
Pages
(2010-05-07)
list price: US$89.95 -- used & new: US$60.71 (price subject to change: see help) Asin: 1584885904 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Asymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, Expansions and Asymptotics for Statistics shows how asymptotics, when coupled with numerical methods, becomes a powerful way to acquire a deeper understanding of the techniques used in probability and statistics. The book first discusses the role of expansions and asymptotics in statistics, the basic properties of power series and asymptotic series, and the study of rational approximations to functions. With a focus on asymptotic normality and asymptotic efficiency of standard estimators, it covers various applications, such as the use of the delta method for bias reduction, variance stabilisation, and the construction of normalising transformations, as well as the standard theory derived from the work of R.A. Fisher, H. Cramér, L. Le Cam, and others. The book then examines the close connection between saddle-point approximation and the Laplace method. The final chapter explores series convergence and the acceleration of that convergence. |
2. Stochastic Approximation and Recursive Algorithms and Applications (Stochastic Modelling and Applied Probability) by Harold J. Kushner, G. George Yin | |
Paperback: 474
Pages
(2010-11-02)
list price: US$115.00 -- used & new: US$91.73 (price subject to change: see help) Asin: 1441918477 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This book presents a thorough development of the modern theory of stochastic approximation or recursive stochastic algorithms for both constrained and unconstrained problems. This second edition is a thorough revision, although the main features and structure remain unchanged. It contains many additional applications and results as well as more detailed discussion. |
3. Interpolation and Approximation by Polynomials (CMS Books in Mathematics) by George M. Phillips | |
Paperback: 312
Pages
(2010-11-02)
list price: US$99.00 -- used & new: US$82.49 (price subject to change: see help) Asin: 1441918108 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. The author is well known for his clarity of writing and his many contributions as a researcher in approximation theory. Customer Reviews (1)
Great reference book, well written |
4. A Unified Approach to Uniqueness, Expansion and Approximation Problems by Chiu-Cheng Chang | |
Hardcover: 120
Pages
(1994-11)
list price: US$45.00 -- used & new: US$45.00 (price subject to change: see help) Asin: 9810218052 Canada | United Kingdom | Germany | France | Japan | |
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5. Multipliers for (C,alpha)-Bounded Fourier Expansions in Banach Spaces and Approximation Theory (Lecture Notes in Mathematics) (Volume 0) by W. Trebels | |
Paperback: 116
Pages
(1973-08-20)
list price: US$26.00 -- used & new: US$21.70 (price subject to change: see help) Asin: 3540063579 Canada | United Kingdom | Germany | France | Japan | |
6. Fourier Analysis and Approximation of Functions by Roald M. Trigub, Eduard S. Belinsky | |
Paperback: 585
Pages
(2010-11-02)
list price: US$149.00 -- used & new: US$118.55 (price subject to change: see help) Asin: 9048166411 Canada | United Kingdom | Germany | France | Japan | |
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7. Fixed Point Theory and Best Approximation: The KKM-map Principle (Mathematics and Its Applications) by S.P. Singh, B. Watson, P. Srivastava | |
Paperback: 232
Pages
(2010-11-02)
list price: US$159.00 -- used & new: US$159.00 (price subject to change: see help) Asin: 9048149185 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Fixed point theory and best approximation |
8. Approximation Theory, Wavelets and Applications (NATO Science Series C: (closed)) | |
Paperback: 600
Pages
(2010-11-02)
list price: US$399.00 -- used & new: US$399.00 (price subject to change: see help) Asin: 9048145163 Canada | United Kingdom | Germany | France | Japan | |
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9. Algorithms for Approximation: Proceedings of the 5th International Conference, Chester, July 2005 | |
Paperback: 389
Pages
(2010-11-30)
list price: US$129.00 -- used & new: US$129.00 (price subject to change: see help) Asin: 3642069940 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing. It documents recent theoretical developments which have lead to new trends in approximation, it gives important computational aspects and multidisciplinary applications, thus making it a perfect fit for graduate students and researchers in science and engineering who wish to understand and develop numerical algorithms for the solution of their specific problems. An important feature of the book is that it brings together modern methods from statistics, mathematical modelling and numerical simulation for the solution of relevant problems, with a wide range of inherent scales. Contributions of industrial mathematicians, including representatives from Microsoft and Schlumberger, foster the transfer of the latest approximation methods to real-world applications. |
10. Nonlinear Numerical Methods and Rational Approximation (Mathematics and Its Applications) | |
Hardcover: 480
Pages
(1988-01-31)
list price: US$271.00 -- used & new: US$263.03 (price subject to change: see help) Asin: 9027726698 Canada | United Kingdom | Germany | France | Japan | |
11. Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems (Nonconvex Optimization and Its Applications) | |
Paperback: 594
Pages
(2010-11-02)
list price: US$264.00 -- used & new: US$264.00 (price subject to change: see help) Asin: 1441948295 Canada | United Kingdom | Germany | France | Japan | |
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12. Approximation by Solutions of Partial Differential Equations (NATO Science Series C: (closed)) | |
Hardcover: 220
Pages
(1992-03-31)
list price: US$185.00 -- used & new: US$118.00 (price subject to change: see help) Asin: 0792317009 Canada | United Kingdom | Germany | France | Japan | |
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13. Duality for Nonconvex Approximation and Optimization (CMS Books in Mathematics) by Ivan Singer | |
Paperback: 356
Pages
(2010-11-02)
list price: US$119.00 -- used & new: US$119.00 (price subject to change: see help) Asin: 1441921036 Canada | United Kingdom | Germany | France | Japan | |
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14. Approximation Theory and Spline Functions (NATO Science Series C: (closed)) by S. P. Singh, J. W. H. Burry, B. Watson | |
Hardcover: 485
Pages
(1984-09-30)
list price: US$379.00 -- used & new: US$75.00 (price subject to change: see help) Asin: 9027718180 Canada | United Kingdom | Germany | France | Japan | |
15. Classification and Approximation of Periodic Functions (Mathematics and Its Applications) by A.I. Stepanets | |
Hardcover: 380
Pages
(1995-07-31)
list price: US$139.00 -- used & new: US$131.27 (price subject to change: see help) Asin: 0792336038 Canada | United Kingdom | Germany | France | Japan | |
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16. Normal Approximation and Asymptotic Expansions (Probability & Mathematical Statistics) by Rabindranath Bhattacharya, Ramaswamy Ranga Rao | |
Hardcover: 288
Pages
(1976-05)
Isbn: 047107201X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This also is the only book containing a detailed treatment of various refinements of the multivariate central limit theorem (CLT), including Berry Essen-type error bounds for probabilities of general classes of functions and sets, and asymptotic expansions for both lattice and non-lattice distributions. With meticulous care, the authors develop necessary background on weak convergence theory, Fourier analysis, geometry of convex sets, and the relationship between lattice random vectors and discrete subgroups of Rk. The formalism developed in the book has been used in the extension of the theory by Goetze and Hipp to sums of weakly dependent random vectors. This edition of the book includes a new chapter that provides an application of Stein's method of approximation to the multivariate CLT. Audience: The book is appropriate for graduate students of probability and statistics as well as researchers in these and other fields whose work involves the asymptotic theory of statistics. Contents: Preface to the Classics Edition; Preface; Chapter 1: Weak Convergence of Probability Measures and Uniformity Classes; Chapter 2: Fourier Transforms and Expansions of Characteristic Functions; Chapter 3: Bounds for Errors of Normal Approximation; Chapter 4: Asymptotic Expansions Nonlattice Distributions; Chapter 5: Asymptotic Expansions Lattice Distributions; Chapter 6: Two Recent Improvements; Chapter 7: An Application of Stein s Method; Appendix A.1: Random Vectors and Independence; Appendix A.2: Functions of Bounded Variation and Distribution Functions; Appendix A.3: Absolutely Continuous, Singular, and Discrete Probability Measures; Appendix A.4: The Euler-MacLaurin Sum Formula for Functions of Several Variables; References; Index. |
17. Asymptotic Approximation of Integrals (Classics in Applied Mathematics) by R. Wong | |
Paperback: 543
Pages
(2001-08-01)
list price: US$99.50 -- used & new: US$96.55 (price subject to change: see help) Asin: 0898714974 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Since its publication twelve years ago, significant developments have occurred in the general theory of asymptotic expansions, including smoothing of the Stokes phenomenon, uniform exponentially improved asymptotic expansions, and hyperasymptotics. These new concepts belong to the area now known as "exponential asymptotics." Expositions of these new theories are available in papers published in various journals, but not yet in book form. Customer Reviews (1)
This book is very important to my study in guraduate school. |
18. The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations (Mathematics and Its Applications) by A.J. Jerri | |
Paperback: 364
Pages
(2010-11-02)
list price: US$239.00 -- used & new: US$239.00 (price subject to change: see help) Asin: 1441948007 Canada | United Kingdom | Germany | France | Japan | |
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19. Approximation Algorithms for Complex Systems: Proceedings of the 6th International Conference on Algorithms for Approximation, Ambleside, UK, 31st August ... 2009 (Springer Proceedings in Mathematics) | |
Hardcover: 307
Pages
(2011-01-29)
list price: US$149.00 -- used & new: US$118.55 (price subject to change: see help) Asin: 3642168752 Canada | United Kingdom | Germany | France | Japan | |
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20. Approximation and Computation: In Honor of Gradimir V. Milovanovic (Springer Optimization and Its Applications) | |
Hardcover: 484
Pages
(2010-10-21)
list price: US$179.00 -- used & new: US$179.00 (price subject to change: see help) Asin: 1441965939 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to renowned mathematician Gradimir V. Milovanović, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of this volume: - Presents results and approximation methods in various computational settings including: polynomial and orthogonal systems, analytic functions, and differential equations. - Provides a historical overview of approximation theory and many of its subdisciplines; - Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences. "Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in the computational and applied sciences. |
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