Partial Differential Equations Classical Theory With A Modern Touch
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Partial Differential Equations Classical Theory With A Modern Touch
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Author : A. K. Nandakumaran
language : en
Publisher: Cambridge University Press
Release Date : 2020-10-29
Partial Differential Equations Classical Theory With A Modern Touch written by A. K. Nandakumaran and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-29 with Mathematics categories.
A valuable guide covering the key principles of partial differential equations and their real world applications.
Partial Differential Equations
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Author : A. K. Nandakumaran
language : en
Publisher: Cambridge University Press
Release Date : 2020-10-29
Partial Differential Equations written by A. K. Nandakumaran and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-29 with Mathematics categories.
Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important equations of mathematical physics – Laplace and Poisson equations, Heat or diffusion equation, and wave equations in one and more space dimensions. Keen readers will benefit from more advanced topics and many references cited at the end of each chapter. In addition, the book covers advanced topics such as Conservation Laws and Hamilton-Jacobi Equation. Numerous real-life applications are interspersed throughout the book to retain readers' interest.
Modular Theory In Operator Algebras
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Author : Şerban Strǎtilǎ
language : en
Publisher: Cambridge University Press
Release Date : 2020-12-03
Modular Theory In Operator Algebras written by Şerban Strǎtilǎ and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-03 with Mathematics categories.
Discusses the fundamentals and latest developments in operator algebras, focusing on continuous and discrete decomposition of factors of type III.
Fundamentals Of Transport Processes With Applications
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Author : V. Kumaran
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-16
Fundamentals Of Transport Processes With Applications written by V. Kumaran and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-16 with Science categories.
This student-friendly textbook is an introduction to the fundamentals and applications of transport phenomena in a single volume.
Notes On The Brown Douglas Fillmore Theorem
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Author : Sameer Chavan
language : en
Publisher: Cambridge University Press
Release Date : 2021-10-07
Notes On The Brown Douglas Fillmore Theorem written by Sameer Chavan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-07 with Mathematics categories.
The book discusses the complete proof of the Brown-Douglas-Fillmore theorem along with a number of its applications.
Why Machines Will Never Rule The World
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Author : Jobst Landgrebe
language : en
Publisher: Taylor & Francis
Release Date : 2025-04-30
Why Machines Will Never Rule The World written by Jobst Landgrebe and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-30 with Philosophy categories.
This is a revised and expanded second edition of Why Machines Will Never Rule the World. Its core argument remains the same: that an artificial intelligence (AI) that could equal or exceed human intelligence – sometimes called ‘artificial general intelligence’ (AGI) – is for mathematical reasons impossible. It offers two specific reasons for this claim: Human intelligence is a capability of the human brain and central nervous system, which is a complex dynamic system Systems of this sort cannot be modelled mathematically in a way that allows them to operate inside a computer In supporting their claim, the authors, Jobst Landgrebe and Barry Smith, marshal evidence from mathematics, physics, computer science, philosophy, linguistics, biology, and anthropology, setting up their book around three central questions: What are the essential marks of human intelligence? What is it that researchers try to do when they attempt to achieve ‘Artificial Intelligence’ (AI)? And why, after more than 50 years, are our interactions with AI, for example when on the telephone with our bank’s computers, still so unsatisfactory? The first edition was published the same week that ChatGPT was unleashed onto the world. This second edition shows how the arguments in the book apply already to Large Language Models such as ChatGPT. This new edition also brings up to date the arguments relating to the limits of AI, showing why AI systems are best viewed as pieces of mathematics, which cannot think, feel, or will. They also demolish the idea that, with the help of AI, we could ‘solve physics’ in a way that would allow us to create, in the cloud, a perfect simulation of reality in which we could enjoy digital immortality. Such ideas reveal a lack of understanding of physics, mathematics, human biology, and computers. There is still, as the authors demonstrate in an updated final chapter, a great deal that AI can achieve which will benefit humanity. But these benefits will be achieved without the aid of systems that are more powerful than humans, which are as impossible as AI systems that are intrinsically ‘evil’ or able to ‘will’ a takeover of human society. Key Changes to the Second Edition Shows how the arguments of the first edition apply also to new Large Language Models Adds a treatment of human practical intelligence – of knowing how vs. knowing that – a topic that is ignored by the AI community Demonstrates why ‘AI ethics’ should be relabelled as ‘ethics of human uses of AI’ Adds a new chapter showing the essential limitations of physics, providing a thorough grounding for the arguments of the book Demolishes the idea that we might already be living in a simulation
Partial Differential Equations In Action
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Author : Sandro Salsa
language : en
Publisher: Springer
Release Date : 2015-04-24
Partial Differential Equations In Action written by Sandro Salsa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-24 with Mathematics categories.
The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems.
Partial Differential Equations
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Author : Walter A. Strauss
language : en
Publisher: John Wiley & Sons
Release Date : 2007-12-21
Partial Differential Equations written by Walter A. Strauss and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-21 with Mathematics categories.
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Partial Differential Equations Ii
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Author : Yu.V. Egorov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Partial Differential Equations Ii written by Yu.V. Egorov 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 2013-12-01 with Mathematics categories.
This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics.
Perturbation Of The Boundary In Boundary Value Problems Of Partial Differential Equations
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Author : Dan Henry
language : en
Publisher: Cambridge University Press
Release Date : 2005-05-26
Perturbation Of The Boundary In Boundary Value Problems Of Partial Differential Equations written by Dan Henry and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-26 with Mathematics categories.
This book, first published in 2005, works to answer a wide range of problems involving boundary perturbations in the study of partial differential equations.