Advances In Mathematical And Computational Methods Addressing Modern Challenges Of Science Technology And Society
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Advances In Mathematical And Computational Methods Addressing Modern Challenges Of Science Technology And Society
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Author : Ilias Kotsireas
language : en
Publisher: American Inst. of Physics
Release Date : 2012-01-20
Advances In Mathematical And Computational Methods Addressing Modern Challenges Of Science Technology And Society written by Ilias Kotsireas and has been published by American Inst. of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-20 with Science categories.
The book provides a unique collection of in-depth technical discussions and exchange of ideas in mathematical and computational sciences, as well as their applications in natural and social sciences, engineering and technology, industry and finance. It aims at researchers, industrialists, engineers and students who want to foster interdisciplinary collaborations required to meet the challenges of modern science, technology, and society. Applied and computational mathematics plays a fundamental role in new discoveries in sciences and engineering. The methodology of mathematical modeling and computational experiment provides a primary and ubiquitous tool in such discoveries, as well as in the development of new theories and techniques for the solution of important problems arising from the sciences and engineering. The main goal of this book is to provide the reader with state-of-the-art achievements in the development of this methodology along with the associated theories and techniques in diverse areas of human knowledge, promoting interdisciplinary interactions between mathematicians, scientists and engineers. The book is a valuable source of the methods, ideas, and tools of applied and computational mathematics developed for other disciplines, including natural and social sciences, engineering and technology. Original results are presented on both fundamental and applied developments, with a wide range of examples emphasizing interdisciplinary nature and universality applied mathematics and mathematical modeling.This book has a number of unique features: -The book can serve as a reference to state-of-the-art original works on the applications of mathematical and computational methods and tools in disciplines from natural and social sciences to technology and engineering.
Interdisciplinary Topics In Applied Mathematics Modeling And Computational Science
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Author : Monica G. Cojocaru
language : en
Publisher: Springer
Release Date : 2015-07-03
Interdisciplinary Topics In Applied Mathematics Modeling And Computational Science written by Monica G. Cojocaru and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-03 with Computers categories.
The Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26—30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics and its areas of applications.
Applied Linear Algebra
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Author : Kartikeya Dutta
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Applied Linear Algebra written by Kartikeya 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.
"Applied Linear Algebra: Core Principles" is a comprehensive guide that delves into the principles, methodologies, and practical applications of linear algebra in various fields of science, engineering, and technology. Combining theoretical foundations, computational techniques, and real-world examples, this book offers a holistic approach to understanding and utilizing linear algebra concepts. Covering a wide range of topics, including vector spaces, matrices, eigenvalue problems, singular value decomposition, and numerical techniques, readers will gain a thorough understanding of both fundamental and advanced principles. Real-world applications in data science, machine learning, signal processing, control systems, and image processing are integrated throughout, demonstrating the practical relevance of linear algebra. Complex mathematical concepts are presented in a clear and accessible manner, making the book suitable for students, researchers, and practitioners with varying levels of mathematical background. Detailed explanations, illustrative examples, and step-by-step solutions aid comprehension and retention. An interdisciplinary approach connects theoretical concepts with practical applications, highlighting the versatility of linear algebra in solving real-world problems. Extensive references to literature, research papers, and online resources enable readers to explore topics in greater depth. This book is an invaluable resource for students, researchers, and professionals seeking to apply linear algebra techniques in their work across various domains.
The Second Renaissance
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Author : Robert H. Hacker
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-05-19
The Second Renaissance written by Robert H. Hacker and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-19 with Business & Economics categories.
Humanity is in a period of dramatic change—the risk of near-time impact from environmental degradation; political and socioeconomic challenges exacerbated by the manipulation of social media; and an interconnected, networked world where Artificial Intelligence and widespread computational science offer both peril and promise. In The Second Renaissance, Robert Hacker argues that for the first time in history, AI’s functionality has surpassed human cognition, and can be used to advance scientific, economic and societal endeavors for humankind. Walking us through the development of modern science from the nineteenth century to the AI of the twenty-first, the author reveals five pillars to reimagine the future; shows how two paradigms are shaping the technology and business models of the 21st century; and presents the wide-ranging benefits and applications of AI that signal the dawn of a new era, the Second Renaissance. He concludes with practical illustrations and real-world examples leaders can use as ‘fit-for-the-future’ constructs to innovate and exploit AI entrepreneurially. This is a must read for corporate leaders, researchers in innovation and AI, policymakers, business and entrepreneurship students, and anyone invested in adapting AI for the exciting era that lies ahead.
Numerical Optimization
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Author : Udayan Bhattacharya
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Numerical Optimization written by Udayan Bhattacharya 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.
"Numerical Optimization: Theories and Applications" is a comprehensive guide that delves into the fundamental principles, advanced techniques, and practical applications of numerical optimization. We provide a systematic introduction to optimization theory, algorithmic methods, and real-world applications, making it an essential resource for students, researchers, and practitioners in optimization and related disciplines. We begin with an in-depth exploration of foundational concepts in optimization, covering topics such as convex and non-convex optimization, gradient-based methods, and optimization algorithms. Building upon these basics, we delve into advanced optimization techniques, including metaheuristic algorithms, evolutionary strategies, and stochastic optimization methods, providing readers with a comprehensive understanding of state-of-the-art optimization methods. Practical applications of optimization are highlighted throughout the book, with case studies and examples drawn from various domains such as machine learning, engineering design, financial portfolio optimization, and more. These applications demonstrate how optimization techniques can effectively solve complex real-world problems. Recognizing the importance of ethical considerations, we address issues such as fairness, transparency, privacy, and societal impact, guiding readers on responsibly navigating these considerations in their optimization projects. We discuss computational challenges in optimization, such as high dimensionality, non-convexity, and scalability issues, and provide strategies for overcoming these challenges through algorithmic innovations, parallel computing, and optimization software. Additionally, we provide a comprehensive overview of optimization software and libraries, including MATLAB Optimization Toolbox, Python libraries like SciPy and CVXPY, and emerging optimization frameworks, equipping readers with the tools and resources needed to implement optimization algorithms in practice. Lastly, we explore emerging trends, future directions, and challenges in optimization, offering insights into the evolving landscape of optimization research and opportunities for future exploration.
Supercomputing And American Technology Leadership
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Author : United States. Congress. House. Committee on Science, Space, and Technology (2011). Subcommittee on Energy
language : en
Publisher:
Release Date : 2015
Supercomputing And American Technology Leadership written by United States. Congress. House. Committee on Science, Space, and Technology (2011). Subcommittee on Energy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with High performance computing categories.
Differential Dynamical Systems Revised Edition
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Author : James D. Meiss
language : en
Publisher: SIAM
Release Date : 2017-01-24
Differential Dynamical Systems Revised Edition written by James D. Meiss and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-24 with Mathematics categories.
Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics. Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts?flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. This new edition contains several important updates and revisions throughout the book. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple, Mathematica, and MATLAB software to give students practice with computation applied to dynamical systems problems.
Computational Mathematical Modeling
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Author : Daniela Calvetti
language : en
Publisher: SIAM
Release Date : 2013-03-21
Computational Mathematical Modeling written by Daniela Calvetti and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-21 with Mathematics categories.
Interesting real-world mathematical modelling problems are complex and can usually be studied at different scales. The scale at which the investigation is carried out is one of the factors that determines the type of mathematics most appropriate to describe the problem. The book concentrates on two modelling paradigms: the macroscopic, in which phenomena are described in terms of time evolution via ordinary differential equations; and the microscopic, which requires knowledge of random events and probability. The exposition is based on this unorthodox combination of deterministic and probabilistic methodologies, and emphasizes the development of computational skills to construct predictive models. To elucidate the concepts, a wealth of examples, self-study problems, and portions of MATLAB code used by the authors are included. This book, which has been extensively tested by the authors for classroom use, is intended for students in mathematics and the physical sciences at the advanced undergraduate level and above.
A Course In Mathematical Biology
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Author : Gerda de Vries
language : en
Publisher: SIAM
Release Date : 2006-07-01
A Course In Mathematical Biology written by Gerda de Vries and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-01 with Mathematics categories.
This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.
Techniques In Mathematical Modelling
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Author : Gautami Devar
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Techniques In Mathematical Modelling written by Gautami Devar 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.
"Techniques in Mathematical Modelling" is a comprehensive textbook designed to provide students, researchers, and practitioners with a solid foundation in the principles, techniques, and applications of mathematical modelling. We cover a wide range of topics, from fundamental concepts and analytical techniques to validation methods and emerging trends. Each chapter includes practical examples, case studies, and exercises to reinforce learning and demonstrate real-world applications. Our book emphasizes the interdisciplinary nature of mathematical modelling, with applications in physics, biology, economics, engineering, social sciences, and more. We encourage hands-on learning through practical exercises, simulations, and projects, allowing readers to apply theoretical concepts to real-world scenarios. Additionally, we explore emerging trends and challenges in the field, including advancements in computational techniques, data analytics, and interdisciplinary collaborations. Written in clear and accessible language, "Techniques in Mathematical Modelling" caters to readers with varying levels of mathematical background, making it suitable for undergraduate and graduate students as well as professionals.