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Methods of Applied Mathematics with a MATLAB Overview

Posted By: AvaxGenius
Methods of Applied Mathematics with a MATLAB Overview

Methods of Applied Mathematics with a MATLAB Overview by Jon H. Davis
English | PDF | 2004 | 730 Pages | ISBN : 1461264863 | 39.4 MB

Broadly organized around the applications of Fourier analysis, Methods of Applied Mathematics with a MATLAB Overview covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

Sampling, Approximation, and Signal Analysis Harmonic Analysis: in the Spirit of J. Rowland Higgins

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Sampling, Approximation, and Signal Analysis Harmonic Analysis: in the Spirit of J. Rowland Higgins

Sampling, Approximation, and Signal Analysis Harmonic Analysis: in the Spirit of J. Rowland Higgins by Stephen D. Casey, M. Maurice Dodson, Paulo J. S. G. Ferreira, Ahmed Zayed
English | PDF EPUB (True) | 2023 | 580 Pages | ISBN : 3031411293 | 67.7 MB

During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters written by distinguished mathematicians that explore cutting-edge research in sampling, approximation, signal analysis, and other related areas. An introductory chapter provides a biography of Higgins that explores his rich and unique life, along with a bibliography of his papers; a brief history of the SampTA meetings – of which he was a Founding Member – is also included. The remaining articles are grouped into four sections – classical sampling, theoretical extensions, frame theory, and applications of sampling theory – and explore Higgins’ contributions to these areas, as well as some of the latest developments.

Analysis in Banach Spaces: Volume III: Harmonic Analysis and Spectral Theory

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Analysis in Banach Spaces: Volume III: Harmonic Analysis and Spectral Theory

Analysis in Banach Spaces: Volume III: Harmonic Analysis and Spectral Theory by Tuomas Hytönen , Jan van Neerven , Mark Veraar , Lutz Weis
English | PDF (True) | 2023 | 839 Pages | ISBN : 3031465970 | 15.2 MB

This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.

Numerical Fourier Analysis, Second Edition

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Numerical Fourier Analysis, Second Edition

Numerical Fourier Analysis, Second Edition by Gerlind Plonka , Daniel Potts , Gabriele Steidl , Manfred Tasche
English | PDF EPUB (True) | 2023 | 676 Pages | ISBN : 3031350049 | 80.2 MB

New technological innovations and advances in research in areas such as spectroscopy, computer tomography, signal processing, and data analysis require a deep understanding of function approximation using Fourier methods. To address this growing need, this monograph combines mathematical theory and numerical algorithms to offer a unified and self-contained presentation of Fourier analysis.

Representations, Wavelets, and Frames: A Celebration of the Mathematical Work of Lawrence W. Baggett (Repost)

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Representations, Wavelets, and Frames: A Celebration of the Mathematical Work of Lawrence W. Baggett (Repost)

Representations, Wavelets, and Frames: A Celebration of the Mathematical Work of Lawrence W. Baggett by Palle E. T. Jorgensen, Kathy D. Merrill, Judith A. Packer
English | PDF | 2008 | 343 Pages | ISBN : 0817646825 | 3.1 MB

Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is self-contained and presented in a pedagogical style that is accessible to students from both pure and applied mathematics while also of interest to engineers.

Sampling, Wavelets, and Tomography

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Sampling, Wavelets, and Tomography

Sampling, Wavelets, and Tomography by John J. Benedetto, Ahmed I. Zayed
English | PDF | 2004 | 358 Pages | ISBN : 0817643044 | 29.2 MB

Sampling, wavelets, and tomography are three active areas of contemporary mathematics sharing common roots that lie at the heart of harmonic and Fourier analysis. The advent of new techniques in mathematical analysis has strengthened their interdependence and led to some new and interesting results in the field.

Quaternionic Integral Transforms: A Machine-Generated Literature Overview

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Quaternionic Integral Transforms: A Machine-Generated Literature Overview

Quaternionic Integral Transforms: A Machine-Generated Literature Overview by Eckhard Hitzer
English | PDF EPUB (True) | 2023 | ISBN : 3031283740 | 4.9 MB

This book presents a machine-generated literature overview of quaternion integral transforms from select papers published by Springer Nature, which have been organized and introduced by the book’s editor. Each chapter presents summaries of predefined themes and provides the reader with a basis for further exploration of the topic. As one of the experimental projects initiated by Springer Nature for AI book content generation, this book shows the latest developments in the field. It will be a useful reference for students and researchers who are interested in exploring the latest developments in quaternion integral transforms.

Lie Theory: Lie Algebras and Representations

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Lie Theory: Lie Algebras and Representations

Lie Theory: Lie Algebras and Representations by Jens Carsten Jantzen , Karl-Hermann Neeb
English | PDF | 2004 | 341 Pages | ISBN : 0817633731 | 27.7 MB

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title "Lie Theory," feature survey work and original results by well-established researchers in key areas of semisimple Lie theory.

Theoretical Physics, Wavelets, Analysis, Genomics: An Indisciplinary Tribute to Alex Grossmann

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Theoretical Physics, Wavelets, Analysis, Genomics: An Indisciplinary Tribute to Alex Grossmann

Theoretical Physics, Wavelets, Analysis, Genomics: An Indisciplinary Tribute to Alex Grossmann by Patrick Flandrin, Stéphane Jaffard, Thierry Paul, Bruno Torresani
English | PDF EPUB (True) | 2023 | 650 Pages | ISBN : 3030458466 | 81.2 MB

Over the course of a scientific career spanning more than fifty years, Alex Grossmann (1930-2019) made many important contributions to a wide range of areas including, among others, mathematics, numerical analysis, physics, genetics, and biology. His lasting influence can be seen not only in his research and numerous publications, but also through the relationships he cultivated with his collaborators and students. This edited volume features chapters written by some of these colleagues, as well as researchers whom Grossmann’s work and way of thinking has impacted in a decisive way.

Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

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Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations by Audrey Terras
English | PDF | 2016 | 501 Pages | ISBN : 1493934066 | 7 MB

This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations. It is intended for beginning graduate students in mathematics or researchers in physics or engineering. As with the introductory book entitled "Harmonic Analysis on Symmetric Spaces - Euclidean Space, the Sphere, and the Poincaré Upper Half Plane, the style is informal with an emphasis on motivation, concrete examples, history, and applications. The symmetric spaces considered here are quotients X=G/K, where G is a non-compact real Lie group, such as the general linear group GL(n,P) of all n x n non-singular real matrices, and K=O(n), the maximal compact subgroup of orthogonal matrices. Other examples are Siegel's upper half "plane" and the quaternionic upper half "plane". In the case of the general linear group, one can identify X with the space Pn of n x n positive definite symmetric matrices.

Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) (Repost)

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Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) (Repost)

Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2): Celebrating Cora Sadosky's Life by María Cristina Pereyra, Stefania Marcantognini, Alexander M. Stokolos, Wilfredo Urbina
English | PDF | 2017 | 469 Pages | ISBN : 3319846930 | 8.1 MB

This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included.

Special Topics in Structural Dynamics & Experimental Techniques, Volume 5

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Special Topics in Structural Dynamics & Experimental Techniques, Volume 5

Special Topics in Structural Dynamics & Experimental Techniques, Volume 5: Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics 2022 by Matt Allen, Sheyda Davaria, R. Benjamin Davis
English | PDF,EPUB | 2022 (2023 Edition) | 135 Pages | ISBN : 3031054040 | 75.3 MB

Special Topics in Structural Dynamics & Experimental Techniques, Volume 5: Proceedings of the 40th MAC, A Conference and Exposition on Structural Dynamics, 2022, the fifth volume of nine from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on:

Topics in Modal Analysis & Parameter Identification, Volume 8

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Topics in Modal Analysis & Parameter Identification, Volume 8

Topics in Modal Analysis & Parameter Identification, Volume 8: Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics 2022 by Brandon J. Dilworth, Timothy Marinone, Michael Mains
English | PDF,EPUB | 2022 | 181 Pages | ISBN : 303105444X | 73.8 MB

Topics in Modal Analysis & Testing, Volume 8: Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics, 2022, the eighth volume of nine from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Modal Analysis, including papers on:

Recent Developments in Real and Harmonic Analysis: In Honor of Carlos Segovia (Repost)

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Recent Developments in Real and Harmonic Analysis: In Honor of Carlos Segovia (Repost)

Recent Developments in Real and Harmonic Analysis: In Honor of Carlos Segovia by Carlos Cabrelli
English | PDF | 2010 | 213 Pages | ISBN : 0817645314 | 2.1 MB

A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis. The work begins with a chronological description of Segovia’s mathematical life, his original ideas and their evolution, which may be a source of inspiration for many mathematicians working in the fields of harmonic analysis, functional analysis, and partial differential equations.

Principal Bundles: The Classical Case (Repost)

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Principal Bundles: The Classical Case (Repost)

Principal Bundles: The Classical Case By Stephen Bruce Sontz
English | PDF | 2015 | 280 Pages | ISBN : 3319147641 | 2.2 MB

This introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles.