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Advanced Calculus And Its Applications In Variational Quantum Mechanics And Relativity Theory
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Book Synopsis Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory by : Fabio Silva Botelho
Download or read book Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory written by Fabio Silva Botelho and published by CRC Press. This book was released on 2021-07-12 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a rigorous study on manifolds in Rn. Develops in details important standard topics on advanced calculus, such as the differential forms in surfaces in Rn. Presents a proposal to connect classical and quantum mechanics. Presents variational formulations for relativistic mechanics through semi-Riemannian geometry and differential geometry. Develops a rigorous study on causal structures in space-time manifolds.
Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis
Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author :Agnieszka B. Malinowska Publisher :Springer Science & Business Media ISBN 13 :3319027476 Total Pages :96 pages Book Rating :4.3/5 (19 download)
Book Synopsis Quantum Variational Calculus by : Agnieszka B. Malinowska
Download or read book Quantum Variational Calculus written by Agnieszka B. Malinowska and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Calculus of Variations by : Robert Weinstock
Download or read book Calculus of Variations written by Robert Weinstock and published by Courier Corporation. This book was released on 1974-01-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is basically divided into two parts. Chapters 1–4 include background material, basic theorems and isoperimetric problems. Chapters 5–12 are devoted to applications, geometrical optics, particle dynamics, the theory of elasticity, electrostatics, quantum mechanics, and other topics. Exercises in each chapter. 1952 edition.
Book Synopsis Variational Principles in Dynamics and Quantum Theory by : Wolfgang Yourgrau
Download or read book Variational Principles in Dynamics and Quantum Theory written by Wolfgang Yourgrau and published by Courier Corporation. This book was released on 2012-04-26 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div
Book Synopsis General Quantum Variational Calculus by : Svetlin G. Georgiev
Download or read book General Quantum Variational Calculus written by Svetlin G. Georgiev and published by . This book was released on 2024-12-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum calculus is the modern name for the investigation of calculus without limits. The quantum calculus or q-calculus began with FH Jackson in the early twentieth century, but this kind of calculus had already been worked out by Euler and Jacobi. Recently, it arose interest due to high demand of mathematics that model quantum computing. The q-calculus appeared as a connection between mathematics and physics. It has a lot of applications in different mathematical areas such as number theory, combinatorics, orthogonal polynomials, basic hypergeometric functions and other sciences quantum theory, mechanics, and the theory of relativity. Recently, the concept of general quantum difference operators that generalize the quantum calculus are defined. This book is specially designed for those who wish to understand general quantum variational calculus. This book encompasses recent developments of general quantum variational calculus. The text material of this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques. This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines
Book Synopsis Variational Calculus by : Jean-Pierre Bourguignon
Download or read book Variational Calculus written by Jean-Pierre Bourguignon and published by Springer Nature. This book was released on 2022-12-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the Calculus of Variations and its use in modelling mechanics and physics problems. Presenting a geometric approach to the subject, it progressively guides the reader through this very active branch of mathematics, accompanying key statements with a huge variety of exercises, some of them solved. Stressing the need to overcome limitations of the initial point of view, and emphasising the interconnectivity of various branches of mathematics (algebra, analysis and geometry), the book includes some advanced material to challenge the most motivated students. Systematic, short historical notes provide details on the subject’s odyssey, and how new tools have been developed over the last two centuries. This English translation updates a set of notes for a course first given at the École polytechnique in 1987. It will be accessible to graduate students and advanced undergraduates.
Book Synopsis Variational Calculus with Engineering Applications by : Constantin Udriste
Download or read book Variational Calculus with Engineering Applications written by Constantin Udriste and published by John Wiley & Sons. This book was released on 2023-02-13 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of foundational variational methods for problems in engineering Variational calculus is a field in which small alterations in functions and functionals are used to find their relevant maxima and minima. It is a potent tool for addressing a range of dynamic problems with otherwise counter-intuitive solutions, particularly ones incorporating multiple confounding variables. Its value in engineering fields, where materials and geometric configurations can produce highly specific problems with unconventional or unintuitive solutions, is considerable. Variational Calculus with Engineering Applications provides a comprehensive survey of this toolkit and its engineering applications. Balancing theory and practice, it offers a thorough and accessible introduction to the field pioneered by Euler, Lagrange and Hamilton, offering tools that can be every bit as powerful as the better-known Newtonian mechanics. It is an indispensable resource for those looking for engineering-oriented overview of a subject whose capacity to provide engineering solutions is only increasing. Variational Calculus with Engineering Applications readers will also find: Discussion of subjects including variational principles, levitation, geometric dynamics, and more Examples and instructional problems in every Chapter, along with MAPLE codes for performing the simulations described in each Engineering applications based on simple, curvilinear, and multiple integral functionals Variational Calculus with Engineering Applications is ideal for advanced students, researchers, and instructors in engineering and materials science.
Book Synopsis Advanced Calculus and Its Applications to the Engineering and Physical Sciences by : John C. Amazigo
Download or read book Advanced Calculus and Its Applications to the Engineering and Physical Sciences written by John C. Amazigo and published by . This book was released on 1980-09-02 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in problem-solving format, this book emphasizes the purpose of an advanced calculus course by offering a more thorough presentation of some topics to which engineering and physical science students have already been exposed. By supplementing and extending these subjects, the book demonstrates how the tools and ideas developed are vital to an understanding of advanced physical theories.
Book Synopsis A Treatise on Advanced Calculus by : Philip Franklin
Download or read book A Treatise on Advanced Calculus written by Philip Franklin and published by . This book was released on 1964 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Generalized Quantum Calculus with Applications by : Sanket Tikare
Download or read book Generalized Quantum Calculus with Applications written by Sanket Tikare and published by Academic Press. This book was released on 2025-03-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized Quantum Calculus with Applications is devoted to the qualitative theory of general quantum calculus and its applications to general quantum differential equations and inequalities. The book is aimed at upper-level undergraduate students and beginning graduate students in a range of interdisciplinary courses including physical sciences and engineering, from quantum mechanics to differential equations, with pedagogically-organized chapters that each conclude with a section of practical problems. Generalized quantum calculus includes a generalization of the q-quantum calculus and the time scale calculus. There are many open problems and difficulties in q-quantum calculus and time-scale calculus, and this book explores how to use the generalized quantum operators to solve difficulties arising in q-quantum calculus and time scale calculus including but not limited to: generalized quantum integration, generalized quantum chain rules, and generalized quantum Taylor formula. Since generalized quantum calculus includes the q-quantum calculus and time-scale calculus, this book can be utilized by a wide audience of researchers and students. This text exists as one of the few foundational books on generalized quantum calculus and can be used for future discoveries in the area of integral transforms, variational calculus, integral equations, and inequalities in the language of generalized quantum calculus. This book also offers detailed proofs, exercises, and examples to aid instructors, researchers, and users in their studies.
Book Synopsis The Variational Principles of Mechanics by : Lánczos Kornél
Download or read book The Variational Principles of Mechanics written by Lánczos Kornél and published by . This book was released on 1952 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Calculus with Applications by : Nicholas J. De Lillo
Download or read book Advanced Calculus with Applications written by Nicholas J. De Lillo and published by Macmillan College. This book was released on 1982-01-01 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Handbook of Calculus in Quantum Mechanics by : N.B. Singh
Download or read book A Handbook of Calculus in Quantum Mechanics written by N.B. Singh and published by N.B. Singh. This book was released on with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Introduction to Quantum Mechanics with Applications to Chemistry by : Linus Pauling
Download or read book Introduction to Quantum Mechanics with Applications to Chemistry written by Linus Pauling and published by Courier Corporation. This book was released on 2012-06-08 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic undergraduate text explores wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, and the structure of simple and complex molecules. Numerous tables and figures.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 1396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applications of Group Theory in Quantum Mechanics by : M. I. Petrashen
Download or read book Applications of Group Theory in Quantum Mechanics written by M. I. Petrashen and published by Courier Corporation. This book was released on 2013-01-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward postgraduate students, theoretical physicists, and researchers, this advanced text explores the role of modern group-theoretical methods in quantum theory. The authors based their text on a physics course they taught at a prominent Soviet university. Readers will find it a lucid guide to group theory and matrix representations that develops concepts to the level required for applications. The text's main focus rests upon point and space groups, with applications to electronic and vibrational states. Additional topics include continuous rotation groups, permutation groups, and Lorentz groups. A number of problems involve studies of the symmetry properties of the Schroedinger wave function, as well as the explanation of "additional" degeneracy in the Coulomb field and certain subjects in solid-state physics. The text concludes with an instructive account of problems related to the conditions for relativistic invariance in quantum theory.
