Advanced Functional Analysis
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Advanced Functional Analysis
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Author : Eberhard Malkowsky
language : en
Publisher: CRC Press
Release Date : 2019-02-25
Advanced Functional Analysis written by Eberhard Malkowsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-25 with Mathematics categories.
Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced functional analysis and can serve as a guide for related research. The book can be used as a textbook in advanced functional analysis, which is a modern and important field in mathematics, for graduate and postgraduate courses and seminars at universities. At the same time, it enables the interested readers to do their own research. Features Written in a concise and fluent style Covers a broad range of topics Includes related topics from research
Advanced Functional Analysis
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Author : Eberhard Malkowsky
language : en
Publisher: CRC Press
Release Date : 2019-02-25
Advanced Functional Analysis written by Eberhard Malkowsky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-25 with Mathematics categories.
Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced functional analysis and can serve as a guide for related research. The book can be used as a textbook in advanced functional analysis, which is a modern and important field in mathematics, for graduate and postgraduate courses and seminars at universities. At the same time, it enables the interested readers to do their own research. Features Written in a concise and fluent style Covers a broad range of topics Includes related topics from research.
Notes Of Seminar Of Advanced Functional Analysis And Integral Transforms
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Author : Francisco Bulnes
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2025-06-13
Notes Of Seminar Of Advanced Functional Analysis And Integral Transforms written by Francisco Bulnes and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-13 with Mathematics categories.
Functional analysis is a branch of mathematics in mathematical analysis that involves the study in wide scope of the infinite vector spaces (mainly function spaces), their topologies and mappings between said function spaces. These mappings are called operators, which can be of infinite dimension and necessarily close range on real or complex domains and also functionals. Also, the study is on some properties of these mappings such as duality, boundness, compactness, continuity, measurability, spectrally, and extended properties to quantum algebras and C*-algebras. The present book is a collection of notes on expositions, talks, exercises and lectures on advanced functional analysis.
Functional Analysis For Physics And Engineering
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Author : Hiroyuki Shima
language : en
Publisher: CRC Press
Release Date : 2016-01-05
Functional Analysis For Physics And Engineering written by Hiroyuki Shima and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-05 with Mathematics categories.
This book provides an introduction to functional analysis for non-experts in mathematics. As such, it is distinct from most other books on the subject that are intended for mathematicians. Concepts are explained concisely with visual materials, making it accessible for those unfamiliar with graduate-level mathematics. Topics include topology, vecto
Linear And Nonlinear Functional Analysis With Applications Second Edition
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Author : Philippe G. Ciarlet
language : en
Publisher: SIAM
Release Date : 2025-04-23
Linear And Nonlinear Functional Analysis With Applications Second Edition written by Philippe G. Ciarlet and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-23 with Mathematics categories.
This new, considerably expanded edition covers the fundamentals of linear and nonlinear functional analysis, including distribution theory, harmonic analysis, differential geometry, calculus of variations, and degree theory. Numerous applications are included, especially to linear and nonlinear partial differential equations and to numerical analysis. All the basic theorems are provided with complete and detailed proofs. The author has added more than 450 pages of new material; added more than 210 problems; the solutions to all of the problems will be made available on an accompanying website; added two entirely new chapters, one on locally convex spaces and distribution theory and the other on the Fourier transform and Calderón–Zygmund singular integral operators; and enlarged and split the chapter on the “great theorems” of nonlinear functional analysis into two chapters, one on the calculus of variations and the other on Brouwer’s theorem, Brouwer’s degree, and Leray–Schauder’s degree. Ideal for both teaching and self-study, Linear and Nonlinear Functional Analysis with Applications, Second Edition is intended for advanced undergraduate and graduate students in mathematics, university professors, and researchers. It is also an ideal basis for several courses on linear or nonlinear functional analysis.
Functional Analysis
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Author :
language : en
Publisher: Krishna Prakashan Media
Release Date : 1980
Functional Analysis written by and has been published by Krishna Prakashan Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Quantum Field Theory
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Author : Abhishek Kumar
language : en
Publisher: Amazon
Release Date : 2025-04-18
Quantum Field Theory written by Abhishek Kumar and has been published by Amazon this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-18 with Art categories.
The relativistic quantum field theory of electrodynamics is quantum electrodynamics. It describes the behavior of electrons and photons, the fundamental particles of matter and light, respectively, in a unified way. Quantum field theory itself combines classical field theory, special relativity and quantum mechanics.
Mechanics Of Advanced Functional Materials
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Author : Biao Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-24
Mechanics Of Advanced Functional Materials written by Biao Wang 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 2013-07-24 with Science categories.
Mechanics of Advanced Functional Materials emphasizes the coupling effect between the electric and mechanical field in the piezoelectric, ferroelectric and other functional materials. It also discusses the size effect on the ferroelectric domain instability and phase transition behaviors using the continuum micro-structural evolution models. Functional materials usually have a very wide application in engineering due to their unique thermal, electric, magnetic, optoelectronic, etc., functions. Almost all the applications demand that the material should have reasonable stiffness, strength, fracture toughness and the other mechanical properties. Furthermore, usually the stress and strain fields on the functional materials and devices have some important coupling effect on the functionality of the materials. Much progress has been made concerning the coupling electric and mechanical behaviors such as the coupled electric and stress field distribution in piezoelectric solids, ferroelectric domain patterns in ferroelectrics, fracture and failure properties under coupled electric and stress field, etc. The book is intended for researchers and postgraduate students in the fields of mechanics, materials sciences and applied physics who are interested to work on the interdisciplinary mathematical modeling of the functional materials. Prof. Biao Wang is the Dean of School of Physics and Engineering of the Sun Yat-sen University, China.
The Realm Of Sedenions
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Author : David R Ely
language : en
Publisher: David R Ely
Release Date : 2024-05-22
The Realm Of Sedenions written by David R Ely and has been published by David R Ely this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-22 with Mathematics categories.
"The Realm of Sedenions: A Look Into Higher-Complex Numbers" dives into the fascinating world of sedenions, a 16-dimensional number system with unique properties. The book explores the motivation behind studying sedenions, their formal definition with addition and non-commutative, non-associative multiplication, and how they differ from familiar number systems like real and complex numbers. While sedenions lack widespread practical applications yet, the book delves into potential areas of exploration in physics and computer science. It also highlights the challenges mathematicians face due to the complex multiplication rules and the lack of a straightforward geometric interpretation for these high-dimensional numbers. The book provides historical context by mentioning James Joseph Sylvester, who introduced sedenions. While directly visualizing 16 dimensions is difficult, the book discusses potential approaches like subspace projections and geometric analogies to gain a better understanding. Exercises tailored to the audience's level and a resource section for further exploration round out the book, making it a valuable resource for anyone curious about venturing beyond the realm of familiar numbers.
Advanced Functional Materials For Optical And Hazardous Sensing
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Author : Rakesh Kumar Sonker
language : en
Publisher: Springer Nature
Release Date : 2023-11-02
Advanced Functional Materials For Optical And Hazardous Sensing written by Rakesh Kumar Sonker and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-02 with Science categories.
This book highlights the significance and usefulness of nanomaterials for the development of sensing devices and their real-life applications. The book also addresses various means of synthesizing functional materials, e.g., hydrothermal deposition process, electrospinning, Ostwald ripening, sputtering heterogeneous deposition, liquid-phase preparation, the vapor deposition approach, and aerosol flame synthesis. It presents an informative overview of the role of functional materials in the development of advanced sensor devices at the nanoscale and discusses the applications of functional materials in different forms prepared by diverse techniques in the field of optoelectronics and biomedical devices. Major features, such as type of advanced functional, fabrication methods, applications, tasks, benefits and restrictions, and saleable features, are presented in this book. Advanced functional materials for sensing have much wider applications and have an enormous impact on our environment.