Selected Topics On Generalized Integration

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Selected Topics On Generalized Integration

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Author : Tin Lam Toh
language : en
Publisher: World Scientific
Release Date : 2025-05-20

Selected Topics On Generalized Integration written by Tin Lam Toh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-20 with Mathematics categories.

This comprehensive volume offers an in-depth exploration of advanced integration theories, extending beyond classical methods to unify and expand the field. Building on the foundational work of Jaroslav Kurzweil and Ralph Henstock, the book delves into the Henstock-Kurzweil and McShane gauge integrals, presenting a more intuitive and versatile alternative to the traditional Lebesgue integral. By bridging gaps in existing literature, the authors provide a rigorous treatment of integration on metric measure spaces, exploring critical concepts such as completeness, compactness, and Cousin's lemma.The book systematically introduces advanced topics, including the variational Henstock integral in locally convex spaces, the Riemann-Lebesgue integral for vector-valued functions, and generalizations of the Sugeno integral. Further chapters explore convergence in Banach spaces on time scales, set-valued integrals, and applications to harmonic analysis and partial differential equations, including solutions to the heat equation in distribution spaces.Notably, the text presents innovative approaches like the symmetric Laplace integral and the q-Homotopy Analysis Method for solving nonlinear integral equations, offering practical tools for modern analysis. Unified integral representations for generalized Mittag-Leffler functions further highlight the book's engagement with special functions.Ideal for researchers and advanced students in mathematical analysis, this book seamlessly integrates classical theories with modern advancements, offering both theoretical insights and practical applications across mathematics, physics, and engineering.

Lectures On Selected Topics In Mathematical Physics

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Author : William A. Schwalm
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2015-12-31

Lectures On Selected Topics In Mathematical Physics written by William A. Schwalm and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-31 with Science categories.

This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions stand out as closed solutions to a class of physical and geometrical problems giving rise to nonlinear differential equations. While these nonlinear equations may not be the types of greatest interest currently, the fact that they are solvable exactly in terms of functions about which much is known makes up for this. The elliptic functions of Jacobi, or equivalently the Weierstrass elliptic functions, inhabit the literature on current problems in condensed matter and statistical physics, on solitons and conformal representations, and all sorts of famous problems in classical mechanics. The lectures on elliptic functions have evolved as part of the first semester of a course on theoretical and mathematical methods given to first and second year graduate students in physics and chemistry at the University of North Dakota. They are for graduate students or for researchers who want an elementary introduction to the subject that nevertheless leaves them with enough of the details to address real problems. The style is supposed to be informal. The intention is to introduce the subject as a moderate extension of ordinary trigonometry in which the reference circle is replaced by an ellipse. This entre depends upon fewer tools and has seemed less intimidating that other typical introductions to the subject that depend on some knowledge of complex variables. The first three lectures assume only calculus, including the chain rule and elementary knowledge of differential equations. In the later lectures, the complex analytic properties are introduced naturally so that a more complete study becomes possible.

Selected Topics In Applications Of Quantum Mechanics

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Author : Mohammad Reza Pahlavani
language : en
Publisher: BoD – Books on Demand
Release Date : 2015-05-13

Selected Topics In Applications Of Quantum Mechanics written by Mohammad Reza Pahlavani and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-13 with Science categories.

This book has two sections. The section Selected Topics in Applications of Quantum Mechanics provides seven chapters about different applications of quantum mechanics in science and technology. The section Selected Topics in Foundations of Quantum Mechanics provides seven chapters about the foundations of quantum mechanics. This book is written by a community of expert scientists from different research institutes and universities from all over the world. Without a doubt, quantum mechanics is the greatest discovery of the 20th century. Therefore, its history and foundations are of great interest to scientists and students. This book covers some of the applications of quantum mechanics in nuclear physics, medical science, information technology, atomic physics and material science, as well as selected topics of quantum mechanics through different bases and ideas about quantum mechanics. The basic idea of the publication of this book is to make scientists and researchers, as well as graduate students, familiar with the foundations of quantum mechanics.

English Abstracts Of Selected Articles From Soviet Bloc And Mainland China Technical Journals

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Author :
language : en
Publisher:
Release Date : 1961

English Abstracts Of Selected Articles From Soviet Bloc And Mainland China Technical Journals written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Life sciences categories.

General Register

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Author : University of Michigan
language : en
Publisher:
Release Date : 1927

General Register written by University of Michigan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Detroit (Mich.) categories.

Announcements for the following year included in some vols.

Curriculum Handbook With General Information Concerning For The United States Air Force Academy

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Author : United States Air Force Academy
language : en
Publisher:
Release Date : 2004

Curriculum Handbook With General Information Concerning For The United States Air Force Academy written by United States Air Force Academy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Military education categories.

Differential And Integral Inequalities

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Author : Dorin Andrica
language : en
Publisher: Springer Nature
Release Date : 2019-11-14

Differential And Integral Inequalities written by Dorin Andrica and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-14 with Mathematics categories.

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.

Handbook Of Research On Web Log Analysis

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Author : Jansen, Bernard J.
language : en
Publisher: IGI Global
Release Date : 2008-10-31

Handbook Of Research On Web Log Analysis written by Jansen, Bernard J. and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-31 with Business & Economics categories.

"This book reflects on the multifaceted themes of Web use and presents various approaches to log analysis"--Provided by publisher.

Register Of The University Of California

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Author : University of California, Berkeley
language : en
Publisher:
Release Date : 1891

Register Of The University Of California written by University of California, Berkeley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1891 with categories.

Integrating Environment And Economy

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Author : Andrew Gouldson
language : en
Publisher: Routledge
Release Date : 2002-01-22

Integrating Environment And Economy written by Andrew Gouldson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-22 with Science categories.

Integrating Environment and Economy provides a detailed and accessible examination of how integrated approaches enable economic and social activities to support environmental objectives. This is a key text for the many taught Masters courses covering the issues of environmental management and economic development Features of the book: * covers strong areas of undergraduate and postgraduate study * detailed practice-based case studies at both local and regional levels * up-to-date theory using real-life examples