Innovative Integrals And Their Applications Ii
DOWNLOAD
Download Innovative Integrals And Their Applications Ii PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Innovative Integrals And Their Applications Ii book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Innovative Integrals And Their Applications Ii
DOWNLOAD
Author : Anthony A. Ruffa
language : en
Publisher: Springer Nature
Release Date : 2024-07-31
Innovative Integrals And Their Applications Ii written by Anthony A. Ruffa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-31 with Mathematics categories.
In its second installment, Innovative Integrals and Their Applications II explores multidimensional integral identities, unveiling powerful techniques for attacking otherwise intractable integrals, thus demanding ingenuity and novel approaches. This volume focuses on novel approaches for evaluating definite integrals, with the aid of tools such as Mathematica as a means of obtaining useful results. Building upon the previous methodologies, this volume introduces additional concepts such as interchanging the order of integration, permutation symmetry, and the use of pairs of Laplace transforms and Fourier transforms, offering readers a comprehensive array of integral identities. The content further elucidates the techniques of permutation symmetry and extends the multivariate substitution approach to integrals with finite limits of integration. These insights culminate in a collection of integral identities involving gamma functions, incomplete beta functions, Bessel functions, polylogarithms, and the Meijer G-function. Additionally, readers will encounter applications of error functions, inverse error functions, hypergeometric functions, the Lambert W-function, elliptic integrals, Jacobi elliptic functions, and the Riemann zeta function, among many others, with a focus on their relevance in various scientific disciplines and cutting-edge technologies. Each chapter in this volume concludes with many interesting exercises for the reader to practice. A key tenet is that such approaches work best when applied to integrals having certain characteristics as a starting point. Most integrals, if used as a starting point, lead to no result at all, or lead to a known result. However, there is a special class of integrals (i.e., innovative integrals), which, if used as a starting point for such approaches, lead to new and useful results, and can also enable the reader to generate other new results that do not appear in the book. The intended readership includes science, technology, engineering, and mathematics (STEM) undergraduates and graduates, as well as STEM researchers and the community of engineers, scientists, and physicists; most of these potential readers have experienced the importance and/or the applications of integration from finding areas, volumes, lengths, and velocities to more advanced applications. The pedagogical approach of the exposition empowers students to comprehend and efficiently wield multidimensional integrals from their foundations, fostering a deeper understanding of advanced mathematical concepts.
Innovative Integrals And Their Applications I
DOWNLOAD
Author : Anthony A. Ruffa
language : en
Publisher: Springer Nature
Release Date : 2022-11-14
Innovative Integrals And Their Applications I written by Anthony A. Ruffa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-14 with Mathematics categories.
This book develops integral identities, mostly involving multidimensional functions and infinite limits of integration, whose evaluations are intractable by common means. It exposes a methodology based on the multivariate power substitution and its variants, assisted by the software tool Mathematica. The approaches introduced comprise the generalized method of exhaustion, the multivariate power substitution and its variants, and the use of permutation symmetry to evaluate definite integrals, which are very important both in their own right, and as necessary intermediate steps towards more involved computation. A key tenet is that such approaches work best when applied to integrals having certain characteristics as a starting point. Most integrals, if used as a starting point, will lead to no result at all, or will lead to a known result. However, there is a special class of integrals (i.e., innovative integrals) which, if used as a starting point for such approaches, will lead to new and useful results, and can also enable the reader to generate many other new results that are not in the book. The reader will find a myriad of novel approaches for evaluating integrals, with a focus on tools such as Mathematica as a means of obtaining useful results, and also checking whether they are already known. Results presented involve the gamma function, the hypergeometric functions, the complementary error function, the exponential integral function, the Riemann zeta function, and others that will be introduced as they arise. The book concludes with selected engineering applications, e.g., involving wave propagation, antenna theory, non-Gaussian and weighted Gaussian distributions, and other areas. The intended audience comprises junior and senior sciences majors planning to continue in the pure and applied sciences at the graduate level, graduate students in mathematics and the sciences, and junior and established researchers in mathematical physics, engineering, and mathematics. Indeed, the pedagogical inclination of the exposition will have students work out, understand, and efficiently use multidimensional integrals from first principles.
Multivariate Calculus And Geometry Concepts
DOWNLOAD
Author : Chirag Verma
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Multivariate Calculus And Geometry Concepts written by Chirag Verma and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Multivariate Calculus and Geometry Concepts" is a comprehensive textbook designed to provide students, researchers, and practitioners with a thorough understanding of fundamental concepts, techniques, and applications in multivariate calculus and geometry. Authored by experts, we offer a balanced blend of theoretical foundations, practical examples, and computational methods, making it suitable for both classroom instruction and self-study. We cover a wide range of topics, including partial derivatives, gradients, line and surface integrals, parametric equations, polar coordinates, conic sections, and differential forms. Each topic is presented clearly and concisely, with detailed explanations and illustrative examples to aid understanding. Our emphasis is on developing a conceptual understanding of key concepts and techniques, rather than rote memorization of formulas. We include numerous figures, diagrams, and geometric interpretations to help readers visualize abstract mathematical concepts and their real-world applications. Practical applications of multivariate calculus and geometry are highlighted throughout the book, with examples drawn from physics, engineering, computer graphics, and other fields. We demonstrate how these concepts are used to solve real-world problems and inspire readers to apply their knowledge in diverse areas. We discuss computational methods and numerical techniques used in multivariate calculus and geometry, such as numerical integration, optimization algorithms, and finite element methods. Programming exercises and computer simulations provide hands-on experience with implementing and applying these methods. Our supplementary resources include online tutorials, solution manuals, and interactive simulations, offering additional guidance, practice problems, and opportunities for further exploration and self-assessment. "Multivariate Calculus and Geometry Concepts" is suitable for undergraduate and graduate students in mathematics, engineering, physics, computer science, and related disciplines. It also serves as a valuable reference for researchers, educators, and professionals seeking a comprehensive overview of multivariate calculus and geometry and its applications in modern science and technology.
Economic Analysis Of Product Innovation
DOWNLOAD
Author : Manuel Trajtenberg
language : en
Publisher: Harvard University Press
Release Date : 1990
Economic Analysis Of Product Innovation written by Manuel Trajtenberg and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Business & Economics categories.
One of the most striking features of contemporary industrial economies is their ability to offer an ever-expanding and improving range of products. Personal computers, tiny pacemakers, digital watches, and VCRs simply did not exist, and were not even dreamt of, only a few decades ago. Such product innovations play an increasingly important role in modern economic growth, and it is therefore imperative that economists come to grips with them, just as they have done with traditional economic phenomena. In this skillfully crafted and imaginative study, Manuel Trajtenberg develops the tools to quantify and analyze the notion of product innovation. He argues persuasively that the magnitude of an innovation should be equated with the social benefits that it generates. Drawing from the "characteristics approach" to demand theory and the econometrics of discrete choice, he presents an ingenious method to estimate the benefits from product innovations that accrue to the consumer over time. His method centers on consumer preferences for different product attributes -such as speed and size of memory in computers-and then uses those preferences to evaluate the changes in attributes. Trajtenberg applies his approach to the study of one of the most remarkable innovations in medical technology--Computed Tomography (CT) scanners. He assembled for that purpose an impressive set of data on every aspect of the new technology, from qualities and prices, patents and research, to details on virtually every sale in the United States during the decade following the introduction of CT in 1973. This close-up view of an innovation, quite rare in economic literature, offers valuable insights on the nature of the innovative process, the interaction between innovation and diffusion, the effects of uncertainty about quality, and the implications of changing preferences.
Computational Techniques And Applications Proceedings Of The Sixth Biennial Conference
DOWNLOAD
Author : Henry J Gardner
language : en
Publisher: World Scientific
Release Date : 1994-06-28
Computational Techniques And Applications Proceedings Of The Sixth Biennial Conference written by Henry J Gardner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-28 with Mathematics categories.
This volume contains papers on computational mathematics, development, implementation, and application of numerical algorithms, the development and application of computational systems, and numerical modelling. Also featured are reports on applications of advanced computer architectures and innovative visualisation techniques. It will be a help for developers and implementors of computational methods who wish to find out more about the work of those applying the technology to problems in engineering and science, and vice versa.
Innovation Approach To Random Fields An Application Of White Noise Theory
DOWNLOAD
Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2004-07-14
Innovation Approach To Random Fields An Application Of White Noise Theory written by Takeyuki Hida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-14 with Mathematics categories.
A random field is a mathematical model of evolutional fluctuating complex systems parametrized by a multi-dimensional manifold like a curve or a surface. As the parameter varies, the random field carries much information and hence it has complex stochastic structure.The authors of this book use an approach that is characteristic: namely, they first construct innovation, which is the most elemental stochastic process with a basic and simple way of dependence, and then express the given field as a function of the innovation. They therefore establish an infinite-dimensional stochastic calculus, in particular a stochastic variational calculus. The analysis of functions of the innovation is essentially infinite-dimensional. The authors use not only the theory of functional analysis, but also their new tools for the study.
Handbook Of Research On Artificial Intelligence Innovation And Entrepreneurship
DOWNLOAD
Author : Elias G Carayannis
language : en
Publisher: Edward Elgar Publishing
Release Date : 2023-02-14
Handbook Of Research On Artificial Intelligence Innovation And Entrepreneurship written by Elias G Carayannis and has been published by Edward Elgar Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-14 with Business & Economics categories.
The Handbook of Research on Artificial Intelligence, Innovation and Entrepreneurship focuses on theories, policies, practices, and politics of technology innovation and entrepreneurship based on Artificial Intelligence (AI). It examines when, where, how, and why AI triggers, catalyzes, and accelerates the development, exploration, exploitation, and invention feeding into entrepreneurial actions that result in innovation success.
Traditions And Innovations In Contemporary Tourism
DOWNLOAD
Author : Mariana Assenova
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2018-12-17
Traditions And Innovations In Contemporary Tourism written by Mariana Assenova 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 2018-12-17 with Reference categories.
This book presents significant theoretical and empirical studies of various aspects of hospitality and tourism from the perspectives of both tradition and innovation. With thirty-nine contributors from Bulgaria, Croatia, Indonesia, Italy, Portugal, Slovenia, Switzerland, Turkey, and the USA, it offers a collection of recent regional and marketing studies. The first part is dedicated to traditional tourism and hospitality issues ranging from tourism policy and planning and management practices, through cultural event marketing to the need for more intercultural communication. Special attention is paid to new developments in specialised types of tourism and specific tourist destinations. The second part of the book deals with new developments in the tourism industry offering a range of chapters on new technologies and techniques, the modern concept of urban and city tourism development and specific new and innovative tourism types and products.
Current Trends In Symmetric Polynomials With Their Applications
DOWNLOAD
Author : Taekyun Kim
language : en
Publisher: MDPI
Release Date : 2021-03-19
Current Trends In Symmetric Polynomials With Their Applications written by Taekyun Kim and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-19 with Mathematics categories.
The special issue contains research papers with various topics in many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theory, methods, and their application based on current and recent developing symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and contains the most recent advances made in the area of symmetric functions and polynomials.
Mathematical Analysis And Applications Ii
DOWNLOAD
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”