Essential Quantum Calculus
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Essential Quantum Calculus
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Essential Quantum Calculus written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.
"Essential Quantum Calculus" is a concise and accessible guide that demystifies quantum calculus, offering readers a fundamental understanding of its principles. This book provides a clear introduction to the mathematical concepts essential for grasping quantum mechanics, making it an indispensable resource for students and enthusiasts seeking a solid foundation in the intricate world of quantum physics
Quantum Calculus And Functional Analysis With Applications
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Author : Bipan Hazarika
language : en
Publisher: CRC Press
Release Date : 2025-11-21
Quantum Calculus And Functional Analysis With Applications written by Bipan Hazarika and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-11-21 with Science categories.
Quantum Calculus and Functional Analysis with Applications presents advanced research on quantum calculus, functional analysis, and their interdisciplinary applications. It focuses on solving complex challenges in areas such as quantum transport, carbon nanotubes, approximation theory, optimal control models, and renewable natural resources by providing cutting-edge developments in these specialised fields. Based on original research, it offers new insights into topics such as neutrosophic normed spaces, probabilistic normed spaces, quantum sequence spaces, and q-calculus applications in functional analysis for innovative applications across fields as diverse as energy, environmental science, and bioengineering. This book: • Discusses quantum calculus, fractional calculus, functional analysis, quantization of electromagnetic fields, Caputo-Fabrizio fractional differential equations, q-statistical convergence, and quantum matrix operators • Explores quantum calculus and fractional calculus applied to quantum functional calculus, biofuels, environmental pollution, and optimal control analysis • Highlights the role of mathematical methods in addressing challenges in biofuel production and renewable natural resources, making it highly relevant for professionals and researchers in these fields • Covers new research in fixed point theory, including methods for proving the existence of superior fixed points and applications to nonlinear equations • Includes theoretical foundations and practical applications, providing a balanced approach that makes complex concepts accessible while maintaining a focus on cutting-edge developments The book is for researchers and scholars of applied mathematics, and readers interested in the advancement of Quantum Calculus and Functional Analysis.
Quantum Variational Calculus
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Author : Agnieszka B. Malinowska
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-29
Quantum Variational Calculus written by Agnieszka B. Malinowska 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 2013-11-29 with Mathematics categories.
This Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of its results is that they are able to deal with nondifferentiable (even discontinuous) functions, which are important in applications. Possible applications in economics are discussed. Economists model time as continuous or discrete. Although individual economic decisions are generally made at discrete time intervals, they may well be less than perfectly synchronized in ways discrete models postulate. On the other hand, the usual assumption that economic activity takes place continuously, is nothing else than a convenient abstraction that in many applications is far from reality. The Hahn quantum calculus helps to bridge the gap between the two families of models: continuous and discrete. Quantum Variational Calculus is self-contained and unified in presentation. It provides an opportunity for an introduction to the quantum calculus of variations for experienced researchers but may be used as an advanced textbook by graduate students and even ambitious undergraduates as well. The explanations in the book are detailed to capture the interest of the curious reader, and complete to provide the necessary background material needed to go further into the subject and explore the rich research literature, motivating further research activity in the area.
A Handbook Of Calculus In Quantum Mechanics
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
A Handbook Of Calculus In Quantum Mechanics written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.
"A Handbook of Calculus in Quantum Mechanics" is a comprehensive introductory guide designed specifically for absolute beginners with little to no mathematical background in quantum mechanics. This concise yet thorough handbook navigates readers through the fundamental concepts of calculus within the context of quantum mechanics, offering clear explanations and practical examples to facilitate understanding. From essential differential and integral calculus formulas to their application in solving problems in quantum mechanics, this book provides a solid foundation for readers to grasp the mathematical tools essential for exploring the intriguing world of quantum phenomena. Whether you're a student, researcher, or enthusiast, this accessible handbook equips you with the necessary knowledge to embark on your quantum journey with confidence and clarity.
General Quantum Numerical Analysis
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Author : Svetlin G. Georgiev
language : en
Publisher: CRC Press
Release Date : 2024-05-03
General Quantum Numerical Analysis written by Svetlin G. Georgiev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-03 with Mathematics categories.
This book is focused on the qualitative theory of general quantum calculus, the modern name for the investigation of calculus without limits. It centers on designing, analysing and applying computational techniques for general quantum differential equations. The quantum calculus or q-calculus began with F.H. Jackson in the early twentieth century, but this kind of calculus had already been worked out by Euler and Jacobi. Recently, it has aroused interest due to high demand of mathematics that models quantum computing and the connection between mathematics and physics. Quantum calculus has many applications in different mathematical areas such as number theory, combinatorics, orthogonal polynomials, basic hyper-geometric functions and other sciences such as quantum theory, mechanics and the theory of relativity. The authors summarize the most recent contributions in this area. General Quantum Numerical Analysis is intended for senior undergraduate students and beginning graduate students of engineering and science courses. The twelve chapters in this book are pedagogically organized, each concluding with a section of practical problems.
Quantum Calculus
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Author : Victor Kac
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantum Calculus written by Victor Kac 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 2012-12-06 with Mathematics categories.
Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional calculus, the reader discovers, with a remarkable inevitability, many important notions and results of classical mathematics. This book is written at the level of a first course in calculus and linear algebra and is aimed at undergraduate and beginning graduate students in mathematics, computer science, and physics. It is based on lectures and seminars given by MIT Professor Kac over the last few years at MIT.
Mathematical Analysis And Applications Ii
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Author : Hari M. Srivastava
language : en
Publisher: MDPI
Release Date : 2020-03-19
Mathematical Analysis And Applications Ii written by Hari M. Srivastava and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-19 with Mathematics categories.
This issue is a continuation of the previous successful Special Issue “Mathematical Analysis and Applications”
Basic Modern Theory Of Linear Complex Analytic Q Difference Equations
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Author : Jacques Sauloy
language : en
Publisher: American Mathematical Society
Release Date : 2024-11-06
Basic Modern Theory Of Linear Complex Analytic Q Difference Equations written by Jacques Sauloy and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-06 with Mathematics categories.
The roots of the modern theories of differential and $q$-difference equations go back in part to an article by George D. Birkhoff, published in 1913, dealing with the three ?sister theories? of differential, difference and $q$-difference equations. This book is about $q$-difference equations and focuses on techniques inspired by differential equations, in line with Birkhoff's work, as revived over the last three decades. It follows the approach of the Ramis school, mixing algebraic and analytic methods. While it uses some $q$-calculus and is illustrated by $q$-special functions, these are not its main subjects. After a gentle historical introduction with emphasis on mathematics and a thorough study of basic problems such as elementary $q$-functions, elementary $q$-calculus, and low order equations, a detailed algebraic and analytic study of scalar equations is followed by the usual process of transforming them into systems and back again. The structural algebraic and analytic properties of systems are then described using $q$-difference modules (Newton polygon, filtration by the slopes). The final chapters deal with Fuchsian and irregular equations and systems, including their resolution, classification, Riemann-Hilbert correspondence, and Galois theory. Nine appendices complete the book and aim to help the reader by providing some fundamental yet not universally taught facts. There are 535 exercises of various styles and levels of difficulty. The main prerequisites are general algebra and analysis as taught in the first three years of university. The book will be of interest to expert and non-expert researchers as well as graduate students in mathematics and physics.
Hegel S Jena Moment
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Author : O. Bradley Bassler
language : en
Publisher: Springer Nature
Release Date : 2025-09-26
Hegel S Jena Moment written by O. Bradley Bassler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-09-26 with Philosophy categories.
Hegel’s Jena Moment remains the undiscovered continent of his thought. This book explores this continent by examining the Logic and Metaphysics from Hegel’s 1804-5 Jena System-Project, and it is the first book-length treatment of these works in English. Previously, H. S. Harris has written fruitfully on the Jena Moment, but his work is couched in terms of the Jena Moment as preparation for Hegel’s Phenomenology of Spirit. Instead, this book reads the Jena Moment on its own terms. Hegel’s Jena System-Project is a masterpiece of philosophical thinking and in some ways more radical than anything he would go on to publish. In a contemporary philosophical climate largely dominated by receptions of the Phenomenology of Spirit, it points to new inroads and programs for reading Hegel. This book should appeal to anyone interested in using Hegel as a springboard for philosophical thinking in the twenty-first century.
Applications Of Q Calculus In Operator Theory
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Author : Ali Aral
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-09
Applications Of Q Calculus In Operator Theory written by Ali Aral 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 2013-05-09 with Mathematics categories.
The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. This monograph is an introduction to combining approximation theory and q-Calculus with applications, by using well- known operators. The presentation is systematic and the authors include a brief summary of the notations and basic definitions of q-calculus before delving into more advanced material. The many applications of q-calculus in the theory of approximation, especially on various operators, which includes convergence of operators to functions in real and complex domain forms the gist of the book. This book is suitable for researchers and students in mathematics, physics and engineering, and for professionals who would enjoy exploring the host of mathematical techniques and ideas that are collected and discussed in the book.