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Exploring Mathematical Analysis, Approximation Theory, and Optimization: 270 Years Since A.-M. Legendre’s Birth

Posted By: AvaxGenius
Date: 7 Jan 2024 00:44:44
Exploring Mathematical Analysis, Approximation Theory, and Optimization: 270 Years Since A.-M. Legendre’s Birth

Exploring Mathematical Analysis, Approximation Theory, and Optimization: 270 Years Since A.-M. Legendre’s Birth by Nicholas J. Daras, Michael Th. Rassias, Nikolaos B. Zographopoulos
English | PDF EPUB (True) | 2023 | 474 Pages | ISBN : 3031464869 | 53.9 MB

This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it relates to Legendre's work and its association to the foundation of Greece's higher education.
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Stochastic Modelling and Control

Posted By: AvaxGenius
Date: 23 Nov 2023 12:28:34
Stochastic Modelling and Control

Stochastic Modelling and Control by M. H. A. Davis , R. B. Vinter
English | PDF | 1985 | 405 Pages | ISBN : 9401086400 | 24.6 MB

This book aims to provide a unified treatment of input/output modelling and of control for discrete-time dynamical systems subject to random disturbances. The results presented are of wide applica­ bility in control engineering, operations research, econometric modelling and many other areas. There are two distinct approaches to mathematical modelling of physical systems: a direct analysis of the physical mechanisms that comprise the process, or a 'black box' approach based on analysis of input/output data.
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Bifurcations in Flow Patterns: Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics

Posted By: AvaxGenius
Date: 15 Feb 2023 02:24:25
Bifurcations in Flow Patterns: Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics

Bifurcations in Flow Patterns: Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics by P. G. Bakker
English | PDF | 1991 | 221 Pages | ISBN : 940105553X | 12.8 MB

The main idea of the present study is to demonstrate that the qualitative theory of diffe­ rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research.
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Encyclopedia of Complexity and Systems Science

Posted By: AvaxGenius
Date: 28 May 2022 06:42:21
Encyclopedia of Complexity and Systems Science

Encyclopedia of Complexity and Systems Science by Robert A. Meyers
English | PDF(True) | 2009 | 10419 Pages | ISBN : 0387758887 | 290.5 MB

Encyclopedia of Complexity and Systems Science provides an authoritative single source for understanding and applying the concepts of complexity theory together with the tools and measures for analyzing complex systems in all fields of science and engineering. The science and tools of complexity and systems science include theories of self-organization, complex systems, synergetics, dynamical systems, turbulence, catastrophes, instabilities, nonlinearity, stochastic processes, chaos, neural networks, cellular automata, adaptive systems, and genetic algorithms.
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Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases

Posted By: AvaxGenius
Date: 24 Mar 2022 05:18:32
Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases

Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases by Henk Broer
English | PDF | 2003 | 178 Pages | ISBN : 3540004033 | 3.5 MB

The authors consider applications of singularity theory and computer algebra to bifurcations of Hamiltonian dynamical systems. They restrict themselves to the case were the following simplification is possible. Near the equilibrium or (quasi-) periodic solution under consideration the linear part allows approximation by a normalized Hamiltonian system with a torus symmetry. It is assumed that reduction by this symmetry leads to a system with one degree of freedom. The volume focuses on two such reduction methods, the planar reduction (or polar coordinates) method and the reduction by the energy momentum mapping.
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Differential Equations and Their Applications: An Introduction to Applied Mathematics

Posted By: AvaxGenius
Date: 11 Mar 2022 03:11:01
Differential Equations and Their Applications: An Introduction to Applied Mathematics

Differential Equations and Their Applications: An Introduction to Applied Mathematics by Martin Braun
English | PDF | 1993 | 595 Pages | ISBN : 0387978941 | 39.5 MB

There are two major changes in the Fourth Edition of Differential Equations and Their Applications. The first concerns the computer programs in this text. In keeping with recent trends in computer science, we have replaced all the APL programs with Pascal and C programs. The Pascal programs appear in the text in place of the APL programs, where they are followed by the Fortran programs, while the C programs appear in Appendix C.
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Mathematical Methods in Signal Processing and Digital Image Analysis

Posted By: AvaxGenius
Date: 9 Mar 2022 02:19:51
Mathematical Methods in Signal Processing and Digital Image Analysis

Mathematical Methods in Signal Processing and Digital Image Analysis by Rainer Dahlhaus
English | PDF | 2008 | 304 Pages | ISBN : 3540756310 | 5.5 MB

The aim of this volume is to bring together research directions in theoretical signal and imaging processing developed rather independently in electrical engineering, theoretical physics, mathematics and the computer sciences.
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Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals (Repost)

Posted By: AvaxGenius
Date: 28 Apr 2021 06:22:16
Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals (Repost)

Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals by Ju H. Park
English | EPUB | 2019 | 240 Pages | ISBN : 3319962019 | 20 MB

This book introduces the principle theories and applications of control and filtering problems to address emerging hot topics in feedback systems. With the development of IT technology at the core of the 4th industrial revolution, dynamic systems are becoming more sophisticated, networked, and advanced to achieve even better performance. However, this evolutionary advance in dynamic systems also leads to unavoidable constraints.
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Spectral Theory of Dynamical Systems: Second Edition

Posted By: AvaxGenius
Date: 29 Aug 2020 13:51:49
Spectral Theory of Dynamical Systems: Second Edition

Spectral Theory of Dynamical Systems: Second Edition by Mahendra Nadkarni
English | PDF | 2020 | 223 Pages | ISBN : 9811562245 | 1.76 MB

This book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and W. Parry, and another by B. Host. Moreover, Ornstein’s family of mixing rank-one automorphisms is given with construction and proof. Systems of imprimitivity and their relevance to ergodic theory are also examined.
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Intelligence for Nonlinear Dynamics and Synchronisation

Posted By: AvaxGenius
Date: 31 May 2020 22:31:12
Intelligence for Nonlinear Dynamics and Synchronisation

Intelligence for Nonlinear Dynamics and Synchronisation by Kyandoghere Kyamakya
English | PDF | 2010 | 313 Pages | ISBN : N/A | 10.18 MB

Over the past years, the appropriateness of Computational Intelligence (CI) techniques in modeling and optimization tasks pertaining to complex nonlinear dynamic systems has become indubitable, as attested by a large number of studies reporting on the successful application of CI models in nonlinear science (for example, adaptive control, signal processing, medical diagnostic, pattern formation, living systems, etc.).
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2017 MATRIX Annals (Repost)

Posted By: AvaxGenius
Date: 8 Apr 2020 04:03:02
2017 MATRIX Annals (Repost)

2017 MATRIX Annals by David R. Wood (Editor-in-Chief)
English | PDF | 2019 | 702 Pages | ISBN : 3030041603 | 16.63 MB

​MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in its second year, 2017:
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Topics in Classical and Modern Analysis: In Memory of Yingkang Hu (Repost)

Posted By: AvaxGenius
Date: 13 Mar 2020 19:27:57
Topics in Classical and Modern Analysis: In Memory of Yingkang Hu (Repost)

Topics in Classical and Modern Analysis: In Memory of Yingkang Hu by Martha Abell
English | EPUB | 2019 | 384 Pages | ISBN : 303012276X | 28.35 MB

Different aspects of harmonic analysis, complex analysis, sampling theory, approximation theory and related topics are covered in this volume. The topics included are Fourier analysis, Padè approximation, dynamical systems and difference operators, splines, Christoffel functions, best approximation, discrepancy theory and Jackson-type theorems of approximation. The articles of this collection were originated from the International Conference in Approximation Theory, held in Savannah, GA in 2017, and organized by the editors of this volume.
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