Modern Mathematical Methods For Scientists And Engineers A Street Smart Introduction
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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.
Ways Of Comprehending The Grand Illusion And The Essence Of Being Human
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Author : Athanassios Fokas
language : en
Publisher: World Scientific
Release Date : 2024-10-02
Ways Of Comprehending The Grand Illusion And The Essence Of Being Human 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 2024-10-02 with Science categories.
To comprehend the world around us, we first have to decipher how our brains work. This book outlines a new approach to knowledge and comprehension based on the elucidation of several basic neuronal mechanisms. It explores the crucial fact that unconscious processes and conscious experiences form a continuum and, importantly, introduces the concept of metarepresentations. This fundamental notion captures the essence of being human, namely, what separates us from our evolutionary predecessors. Important examples of metarepresentations are language, mathematics, technology and the arts. The interdisciplinary, integrative approach of this book demonstrates how different disciplines and notions which appear disconnected are actually closely related. Furthermore, this approach elucidates how we think about topics such as mathematics, physics, painting, music and philosophy. Most significantly, it helps us understand the origin of our thoughts, feelings and actions, bringing deep insight and fulfilment or, more precisely, eudemonia.
Chaos Fractals And Complexity
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Author : Tassos Bountis
language : en
Publisher: Springer Nature
Release Date : 2023-09-20
Chaos Fractals And Complexity written by Tassos Bountis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-20 with Science categories.
This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists. It includes reviews of the fields, which are presented in an educational way for the widest possible audience, analytical results, computer simulations and experimental evidence, focusing on mathematical modelling. The papers presented here are selected from lectures given at the 28th Summer School “Dynamical Systems and Complexity”, July 18 – 27, 2022. Topics cover applications of complex systems in Neuroscience, Biology, Photonics, Seismology, Meteorology, and more broadly Physical and Engineering systems. The summer school has a long history, which began at the University of Patras in 1987 and continues with great success to this day. The original main purpose was to introduce young students and researchers of Greece to a new science that emerged several decades ago and continues to grow internationally at an ever increasing rate around the world.
The Publishers Trade List Annual
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Author :
language : en
Publisher:
Release Date : 1974
The Publishers Trade List Annual written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with American literature categories.
Popular Science
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Author :
language : en
Publisher:
Release Date : 2004-12
Popular Science written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12 with categories.
Popular Science gives our readers the information and tools to improve their technology and their world. The core belief that Popular Science and our readers share: The future is going to be better, and science and technology are the driving forces that will help make it better.
Popular Science
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Author :
language : en
Publisher:
Release Date : 2005-09
Popular Science written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09 with categories.
Popular Science gives our readers the information and tools to improve their technology and their world. The core belief that Popular Science and our readers share: The future is going to be better, and science and technology are the driving forces that will help make it better.
Mathematical Tools For Physics
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Author : James Nearing
language : en
Publisher:
Release Date : 2021-08
Mathematical Tools For Physics written by James Nearing and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08 with categories.
Having the right answer doesn't guarantee understanding. This book helps physics students learn to take an informed and intuitive approach to solving problems. It assists undergraduates in developing their skills and provides them with grounding in important mathematical methods.Starting with a review of basic mathematics, the author presents a thorough analysis of infinite series, complex algebra, differential equations, and Fourier series. Succeeding chapters explore vector spaces, operators and matrices, multi-variable and vector calculus, partial differential equations, numerical and complex analysis, and tensors. Additional topics include complex variables, Fourier analysis, the calculus of variations, and densities and distributions. An excellent math reference guide, this volume is also a helpful companion for physics students as they work through their assignments.
Guide To Reprints
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Author : Albert James Diaz
language : en
Publisher:
Release Date : 1967
Guide To Reprints written by Albert James Diaz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Editions categories.
Los Angeles Magazine
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Author :
language : en
Publisher:
Release Date : 2003-11
Los Angeles Magazine written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11 with categories.
Los Angeles magazine is a regional magazine of national stature. Our combination of award-winning feature writing, investigative reporting, service journalism, and design covers the people, lifestyle, culture, entertainment, fashion, art and architecture, and news that define Southern California. Started in the spring of 1961, Los Angeles magazine has been addressing the needs and interests of our region for 48 years. The magazine continues to be the definitive resource for an affluent population that is intensely interested in a lifestyle that is uniquely Southern Californian.
Popular Mechanics
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Author :
language : en
Publisher:
Release Date : 2000-01
Popular Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01 with categories.
Popular Mechanics inspires, instructs and influences readers to help them master the modern world. Whether it’s practical DIY home-improvement tips, gadgets and digital technology, information on the newest cars or the latest breakthroughs in science -- PM is the ultimate guide to our high-tech lifestyle.