Modern Mathematical Tools And Techniques In Capturing Complexity
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Modern Mathematical Tools And Techniques In Capturing Complexity
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Author : Leandro Pardo
language : en
Publisher: Springer
Release Date : 2011-05-26
Modern Mathematical Tools And Techniques In Capturing Complexity written by Leandro Pardo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Science categories.
Real-life problems are often quite complicated in form and nature and, for centuries, many different mathematical concepts, ideas and tools have been developed to formulate these problems theoretically and then to solve them either exactly or approximately. This book aims to gather a collection of papers dealing with several different problems arising from many disciplines and some modern mathematical approaches to handle them. In this respect, the book offers a wide overview on many of the current trends in Mathematics as valuable formal techniques in capturing and exploiting the complexity involved in real-world situations. Several researchers, colleagues, friends and students of Professor María Luisa Menéndez have contributed to this volume to pay tribute to her and to recognize the diverse contributions she had made to the fields of Mathematics and Statistics and to the profession in general. She had a sweet and strong personality, and instilled great values and work ethics in her students through her dedication to teaching and research. Even though the academic community lost her prematurely, she would continue to provide inspiration to many students and researchers worldwide through her published work.
Modern Mathematical Tools And Techniques In Capturing Complexity
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Author : Leandro Pardo
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-26
Modern Mathematical Tools And Techniques In Capturing Complexity written by Leandro Pardo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Technology & Engineering categories.
Real-life problems are often quite complicated in form and nature and, for centuries, many different mathematical concepts, ideas and tools have been developed to formulate these problems theoretically and then to solve them either exactly or approximately. This book aims to gather a collection of papers dealing with several different problems arising from many disciplines and some modern mathematical approaches to handle them. In this respect, the book offers a wide overview on many of the current trends in Mathematics as valuable formal techniques in capturing and exploiting the complexity involved in real-world situations. Several researchers, colleagues, friends and students of Professor María Luisa Menéndez have contributed to this volume to pay tribute to her and to recognize the diverse contributions she had made to the fields of Mathematics and Statistics and to the profession in general. She had a sweet and strong personality, and instilled great values and work ethics in her students through her dedication to teaching and research. Even though the academic community lost her prematurely, she would continue to provide inspiration to many students and researchers worldwide through her published work.
Modern Mathematical Tools And Techniques In Capturing Complexity
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Author :
language : en
Publisher:
Release Date : 2011
Modern Mathematical Tools And Techniques In Capturing Complexity written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computational complexity categories.
Real-life problems are often quite complicated and, for centuries, Mathematics has provided the necessary tools and ideas to formulate these problems mathematically and then help in solving them either exactly or approximately. This book aims to gather a collection of papers dealing with several different problems arising from many disciplines and some modern mathematical approaches to handle them. In this respect, the book offers a wide overview on many of the current trends in Mathematics as valuable formal techniques in capturing and exploiting the complexity involved in real-world situations. Several researchers, colleagues, friends and students of Professor María Luisa Menéndez have contributed to this volume to pay tribute to her and to recognize the diverse contributions she had made to the fields of Mathematics and Statistics and to the profession in general. She had a sweet and strong personality, and instilled great values and work ethics in her students through her dedication to teaching and research. Even though the academic community lost her prematurely, she would continue to provide inspiration to many students and researchers worldwide through her published work.
Recent Trends In Chaotic Nonlinear And Complex Dynamics
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Author : Jan Awrejcewicz
language : en
Publisher: World Scientific
Release Date : 2021-07-26
Recent Trends In Chaotic Nonlinear And Complex Dynamics written by Jan Awrejcewicz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-26 with Science categories.
In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.
The Mathematics Of The Uncertain
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Author : Eduardo Gil
language : en
Publisher: Springer
Release Date : 2018-02-28
The Mathematics Of The Uncertain written by Eduardo Gil and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-28 with Technology & Engineering categories.
This book is a tribute to Professor Pedro Gil, who created the Department of Statistics, OR and TM at the University of Oviedo, and a former President of the Spanish Society of Statistics and OR (SEIO). In more than eighty original contributions, it illustrates the extent to which Mathematics can help manage uncertainty, a factor that is inherent to real life. Today it goes without saying that, in order to model experiments and systems and to analyze related outcomes and data, it is necessary to consider formal ideas and develop scientific approaches and techniques for dealing with uncertainty. Mathematics is crucial in this endeavor, as this book demonstrates. As Professor Pedro Gil highlighted twenty years ago, there are several well-known mathematical branches for this purpose, including Mathematics of chance (Probability and Statistics), Mathematics of communication (Information Theory), and Mathematics of imprecision (Fuzzy Sets Theory and others). These branches often intertwine, since different sources of uncertainty can coexist, and they are not exhaustive. While most of the papers presented here address the three aforementioned fields, some hail from other Mathematical disciplines such as Operations Research; others, in turn, put the spotlight on real-world studies and applications. The intended audience of this book is mainly statisticians, mathematicians and computer scientists, but practitioners in these areas will certainly also find the book a very interesting read.
Numerical Methods For Hyperbolic Equations
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Author : Elena Vázquez-Cendón
language : en
Publisher: CRC Press
Release Date : 2012-11-05
Numerical Methods For Hyperbolic Equations written by Elena Vázquez-Cendón and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-05 with Mathematics categories.
Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics cover
Strengthening Links Between Data Analysis And Soft Computing
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Author : Przemyslaw Grzegorzewski
language : en
Publisher: Springer
Release Date : 2014-09-10
Strengthening Links Between Data Analysis And Soft Computing written by Przemyslaw Grzegorzewski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-10 with Technology & Engineering categories.
This book gathers contributions presented at the 7th International Conference on Soft Methods in Probability and Statistics SMPS 2014, held in Warsaw (Poland) on September 22-24, 2014. Its aim is to present recent results illustrating new trends in intelligent data analysis. It gives a comprehensive overview of current research into the fusion of soft computing methods with probability and statistics. Synergies of both fields might improve intelligent data analysis methods in terms of robustness to noise and applicability to larger datasets, while being able to efficiently obtain understandable solutions of real-world problems.
Mechanics Using Python
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Author : Aayushman Dutta
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Mechanics Using Python written by Aayushman Dutta and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Mechanics Using Python: An Introductory Guide" offers a dynamic and immersive exploration of classical mechanics, tailored specifically for undergraduate students. We bridge fundamental physics principles with the practical application of Python programming, providing a unique learning experience for those eager to understand mechanics through computational methods. Our book begins by establishing a robust foundation in kinematics and dynamics, gradually progressing to advanced topics such as oscillations and celestial mechanics. What sets this text apart is our commitment to bridging the gap between theoretical understanding and hands-on implementation, enabling readers to navigate the complexities of classical mechanics using Python. The integration of Python programming brings theory to life, allowing students to simulate and visualize physical phenomena. Through a systematic presentation of concepts, coupled with numerous examples and exercises, learners are not only equipped with a theoretical understanding but also gain proficiency in applying computational solutions to real-world problems. Whether you are a novice embarking on your journey into mechanics or a seasoned student looking to enhance your skills, this book provides a roadmap for both theoretical insight and practical programming application.
Modern Mathematical Methods And High Performance Computing In Science And Technology
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Author : Vinai K. Singh
language : en
Publisher: Springer
Release Date : 2016-08-06
Modern Mathematical Methods And High Performance Computing In Science And Technology written by Vinai K. Singh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-06 with Mathematics categories.
The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems. Furthermore, it is valuable as a reference work and as a basis for further study and research. All contributing authors are respected academicians, scientists and researchers from around the globe. All the papers were presented at the international conference on Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST 2015), held at Raj Kumar Goel Institute of Technology, Ghaziabad, India, from 27–29 December 2015, and peer-reviewed by international experts. The conference provided an exceptional platform for leading researchers, academicians, developers, engineers and technocrats from a broad range of disciplines to meet and discuss state-of-the-art mathematical methods and high performance computing in science & technology solutions. This has brought new prospects for collaboration across disciplines and ideas that facilitate novel breakthroughs.
Modern Mathematical Methods For Scientists And Engineers A Street Smart Introduction
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Author : Athanassios Fokas
language : en
Publisher: World Scientific
Release Date : 2022-12-12
Modern Mathematical Methods For Scientists And Engineers A Street Smart Introduction written by Athanassios Fokas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-12 with Mathematics categories.
Modern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. There is also an 'Application' section at the end of each chapter, with topics drawn from a variety of areas, including neural networks, fluid dynamics, and the behavior of 'put' and 'call' options in financial markets. The book presents several modern important and computationally efficient topics, including feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods.A unique and novel feature of the book is the introduction of a recently developed method for solving partial differential equations (PDEs), called the unified transform. PDEs are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics to ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge.The unified transform greatly facilitates this task. For example, two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, the unified transform derives in a simple manner a generalization of the d'Alembert solution, valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, the unified transform constructs a new solution to this ubiquitous PDE, with important analytical and numerical advantages in comparison to the classical solutions. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and of complex variables and the Fourier transform, illustrating the method with numerous examples.Broad in scope, but pedagogical in style and content, the book is an introduction to powerful mathematical concepts and modern tools for students in science and engineering.