Applied Analysis

Applied Analysis
Author: John K. Hunter
Publisher: World Scientific
Total Pages: 460
Release: 2001
Genre: Mathematics
ISBN: 9789810241919

This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor. The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.

Harmonic Analysis on Free Groups

Harmonic Analysis on Free Groups
Author: Figa-Talamanca
Publisher: CRC Press
Total Pages: 164
Release: 1983-08-17
Genre: Mathematics
ISBN: 9780824770426

This book presents an account of recent results on the theory of representations and the harmonic analysis of free groups. It emphasizes the analogy with the theory of representations of noncompact semisimple Lie groups and restricts the focus to a class of irreducible unitary representations.

Stochastic Processes and Functional Analysis

Stochastic Processes and Functional Analysis
Author: Alan C. Krinik
Publisher: CRC Press
Total Pages: 526
Release: 2004-03-23
Genre: Mathematics
ISBN: 9780203913574

This extraordinary compilation is an expansion of the recent American Mathematical Society Special Session celebrating M. M. Rao's distinguished career and includes most of the presented papers as well as ancillary contributions from session invitees. This book shows the effectiveness of abstract analysis for solving fundamental problems of stochas

Functional Differential Equations with Infinite Delay

Functional Differential Equations with Infinite Delay
Author: Yoshiyuki Hino
Publisher: Springer
Total Pages: 326
Release: 2006-11-14
Genre: Mathematics
ISBN: 3540473882

In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since the 1960's. This book is intended as a guide for the axiomatic approach to the theory of equations with infinite delay and a culmination of the results obtained in this way. It can also be used as a textbook for a graduate course. The prerequisite knowledge is foundations of analysis including linear algebra and functional analysis. It is hoped that the book will prepare students for further study of this area, and that will serve as a ready reference to the researchers in applied analysis and engineering sciences.

Applied Time Series Analysis and Innovative Computing

Applied Time Series Analysis and Innovative Computing
Author: Sio-Iong Ao
Publisher: Springer
Total Pages: 112
Release: 2012-05-28
Genre: Mathematics
ISBN: 9789400732025

Applied Time Series Analysis and Innovative Computing contains the applied time series analysis and innovative computing paradigms, with frontier application studies for the time series problems based on the recent works at the Oxford University Computing Laboratory, University of Oxford, the University of Hong Kong, and the Chinese University of Hong Kong. The monograph was drafted when the author was a post-doctoral fellow in Harvard School of Engineering and Applied Sciences, Harvard University. It provides a systematic introduction to the use of innovative computing paradigms as an investigative tool for applications in time series analysis. Applied Time Series Analysis and Innovative Computing offers the state of art of tremendous advances in applied time series analysis and innovative computing paradigms and also serves as an excellent reference work for researchers and graduate students working on applied time series analysis and innovative computing paradigms.

Applied Analysis

Applied Analysis
Author: Cornelius Lanczos
Publisher: Courier Corporation
Total Pages: 576
Release: 1988-01-01
Genre: Mathematics
ISBN: 048665656X

Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.

Lecture Notes on Diophantine Analysis

Lecture Notes on Diophantine Analysis
Author: Umberto Zannier
Publisher: Springer
Total Pages: 248
Release: 2015-05-05
Genre: Mathematics
ISBN: 8876425179

These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several supplements, hinted exercises and an appendix on recent work on heights.

Inequalities

Inequalities
Author: Everitt
Publisher: CRC Press
Total Pages: 306
Release: 1990-11-30
Genre: Mathematics
ISBN: 9780824784881

Proceedings of an international conference organized by the London Mathematical Society, held July 1987 at the U. of Birmingham, and dominated by the ghosts of Hardy, Littlewood and Polya, whose Inequalities (still the primary reference in the field) appeared in 1934. Thirteen essays summarize subse

Applied Analysis of the Navier-Stokes Equations

Applied Analysis of the Navier-Stokes Equations
Author: Charles R. Doering
Publisher: Cambridge University Press
Total Pages: 236
Release: 1995
Genre: Mathematics
ISBN: 9780521445689

This introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion.