Calculus Theory And Applications
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Calculus Theory And Applications Volume 1
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Author : Kenneth Kuttler
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010-12-28
Calculus Theory And Applications Volume 1 written by Kenneth Kuttler and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-28 with Mathematics categories.
This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products which is developed further in Volume 2.While the book does include all the proofs of the theorems, many of the applications are presented more simply and less formally than is often the case in similar titles.
Calculus
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Author : Kenneth Kuttler
language : en
Publisher: World Scientific
Release Date : 2011-01-10
Calculus written by Kenneth Kuttler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-10 with Mathematics categories.
Summary: This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products which is developed further in Volume 2. While the book does include all the proofs of the theorems, many of the applications are presented more simply and less formally than is often the case in similar titles.
The Fractional Calculus Theory And Applications Of Differentiation And Integration To Arbitrary Order
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Author :
language : en
Publisher: Elsevier
Release Date : 1974-09-05
The Fractional Calculus Theory And Applications Of Differentiation And Integration To Arbitrary Order written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-09-05 with Mathematics categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Calculus Theory And Applications
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Author : Kuttler Kenneth
language : en
Publisher: World Scientific Publishing Company
Release Date : 2011-01-10
Calculus Theory And Applications written by Kuttler Kenneth and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-10 with Mathematics categories.
This is a book on many variable calculus. It is the second volume of a set of two. It includes proofs of all theorems presented, either in the text itself, or in an appendix. It also includes a sufficient introduction to linear algebra to allow the accurate presentation of many variable calculus.The use of elementary linear algebra in presenting the topics of multi- variable calculus is more extensive than usual in this book. It makes many of these topics easier to understand and remember. The book will prepare readers for more advanced math courses and also for courses in physical science.
Fractional Calculus Theory And Applications
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Author : Francesco Mainardi
language : en
Publisher: MDPI
Release Date : 2018-09-20
Fractional Calculus Theory And Applications written by Francesco Mainardi and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-20 with Electronic books categories.
This book is a printed edition of the Special Issue "Fractional Calculus: Theory and Applications" that was published in Mathematics
Fractional Calculus Theory And Applications
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Author : Gerald Paterson
language : en
Publisher:
Release Date : 2019-06-10
Fractional Calculus Theory And Applications written by Gerald Paterson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-10 with categories.
Fractional calculus falls under the domain of mathematical analysis. It focuses on the study of the differentiation operator in terms of real and complex number powers. Fractional calculus has various applications across other scientific fields such as polymer chemistry through structural damping models, in quantum theory through the analysis of Schrödinger's equation, etc. This book elucidates new techniques and their applications in a multidisciplinary manner. The chapters provide significant information of this field to help develop a good understanding of fractional calculus and related fields. It also attempts to understand the multiple branches that fall under this discipline and how such concepts have practical applications. It aims to serve as a resource guide for students and experts alike as well as contribute to the growth of the discipline.
Calculus
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Author : Roy Michael Johnson
language : en
Publisher:
Release Date : 1987
Calculus written by Roy Michael Johnson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Calculus categories.
Calculus
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Author : Kenneth Kuttler
language : en
Publisher: World Scientific
Release Date : 2011
Calculus written by Kenneth Kuttler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products which is developed further in Volume 2. While the book does include all the proofs of the theorems, many of the applications are presented more simply and less formally than is often the case in similar titles. Supplementary materials are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected]. This book is also available as a set with Volume 2: CALCULUS: Theory and Applications.
Fractional Calculus
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Author : Varsha Daftardar-Gejji
language : en
Publisher:
Release Date : 2014
Fractional Calculus written by Varsha Daftardar-Gejji and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Fractional calculus categories.
Deals with differentiation and integration of arbitrary order. The book comprises contributions from academics and leading researchers and gives a panoramic overview of various aspects of the subject.
Theory And Applications Of Fractional Differential Equations
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Author : A. Anatolii Aleksandrovich Kilbas
language : en
Publisher: Elsevier Science Limited
Release Date : 2006
Theory And Applications Of Fractional Differential Equations written by A. Anatolii Aleksandrovich Kilbas and has been published by Elsevier Science Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
This monograph provides the most recent and up-to-date developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus. The subject of fractional calculus and its applications (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. Some of the areas of present-day applications of fractional models include Fluid Flow, Solute Transport or Dynamical Processes in Self-Similar and Porous Structures, Diffusive Transport akin to Diffusion, Material Viscoelastic Theory, Electromagnetic Theory, Dynamics of Earthquakes, Control Theory of Dynamical Systems, Optics and Signal Processing, Bio-Sciences, Economics, Geology, Astrophysics, Probability and Statistics, Chemical Physics, and so on. In the above-mentioned areas, there are phenomena with estrange kinetics which have a microscopic complex behaviour, and their macroscopic dynamics can not be characterized by classical derivative models. The fractional modelling is an emergent tool which use fractional differential equations including derivatives of fractional order, that is, we can speak about a derivative of order 1/3, or square root of 2, and so on. Some of such fractional models can have solutions which are non-differentiable but continuous functions, such as Weierstrass type functions. Such kinds of properties are, obviously, impossible for the ordinary models. What are the useful properties of these fractional operators which help in the modelling of so many anomalous processes? From the point of view of the authors and from known experimental results, most of the processes associated with complex systems have non-local dynamics involving long-memory in time, and the fractional integral and fractional derivative operators do have some of those characteristics. This book is written primarily for the graduate students and researchers in many different disciplines in the mathematical, physical, engineering and so many others sciences, who are interested not only in learning about the various mathematical tools and techniques used in the theory and widespread applications of fractional differential equations, but also in further investigations which emerge naturally from (or which are motivated substantially by) the physical situations modelled mathematically in the book. This monograph consists of a total of eight chapters and a very extensive bibliography. The main objective of it is to complement the contents of the other books dedicated to the study and the applications of fractional differential equations. The aim of the book is to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy type problems involving nonlinear ordinary fractional differential equations, explicit solutions of linear differential equations and of the corresponding initial-value problems through different methods, closed-form solutions of ordinary and partial differential equations, and a theory of the so-called sequential linear fractional differential equations including a generalization of the classical Frobenius method, and also to include an interesting set of applications of the developed theory. Key features: - It is mainly application oriented. - It contains a complete theory of Fractional Differential Equations. - It can be used as a postgraduate-level textbook in many different disciplines within science and engineering. - It contains an up-to-date bibliography. - It provides problems and directions for further investigations. - Fractional Modelling is an emergent tool with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. - It contains many examples. - and so on!