The Fractional Trigonometry
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The Fractional Trigonometry
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Author : Carl F. Lorenzo
language : en
Publisher: John Wiley & Sons
Release Date : 2016-11-14
The Fractional Trigonometry written by Carl F. Lorenzo and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-14 with Mathematics categories.
Addresses the rapidly growing field of fractional calculus and provides simplified solutions for linear commensurate-order fractional differential equations The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science is the result of the authors’ work in fractional calculus, and more particularly, in functions for the solutions of fractional differential equations, which is fostered in the behavior of generalized exponential functions. The authors discuss how fractional trigonometry plays a role analogous to the classical trigonometry for the fractional calculus by providing solutions to linear fractional differential equations. The book begins with an introductory chapter that offers insight into the fundamentals of fractional calculus, and topical coverage is then organized in two main parts. Part One develops the definitions and theories of fractional exponentials and fractional trigonometry. Part Two provides insight into various areas of potential application within the sciences. The fractional exponential function via the fundamental fractional differential equation, the generalized exponential function, and R-function relationships are discussed in addition to the fractional hyperboletry, the R1-fractional trigonometry, the R2-fractional trigonometry, and the R3-trigonometric functions. The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science also: Presents fractional trigonometry as a tool for scientists and engineers and discusses how to apply fractional-order methods to the current toolbox of mathematical modelers Employs a mathematically clear presentation in an e ort to make the topic broadly accessible Includes solutions to linear fractional differential equations and generously features graphical forms of functions to help readers visualize the presented concepts Provides effective and efficient methods to describe complex structures The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science is an ideal reference for academic researchers, research engineers, research scientists, mathematicians, physicists, biologists, and chemists who need to apply new fractional calculus methods to a variety of disciplines. The book is also appropriate as a textbook for graduate- and PhD-level courses in fractional calculus. Carl F. Lorenzo is Distinguished Research Associate at the NASA Glenn Research Center in Cleveland, Ohio. His past positions include chief engineer of the Instrumentation and Controls Division and chief of the Advanced Controls Technology and Systems Dynamics branches at NASA. He is internationally recognized for his work in the development and application of the fractional calculus and fractional trigonometry. Tom T. Hartley, PhD, is Emeritus Professor in the Department of Electrical and Computer Engineering at The University of Akron. Dr Hartley is a recognized expert in fractional-order systems, and together with Carl Lorenzo, has solved fundamental problems in the area including Riemann’s complementary-function initialization function problem. He received his PhD in Electrical Engineering from Vanderbilt University.
Trigonometry With Calculators
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Author : George S. Donovan
language : en
Publisher: Prindle Weber & Schmidt
Release Date : 1980
Trigonometry With Calculators written by George S. Donovan and has been published by Prindle Weber & Schmidt this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Natural Trigonometric Functions
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Author : Howard Chapin Ives
language : en
Publisher:
Release Date : 1966
Natural Trigonometric Functions written by Howard Chapin Ives and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Trigonometrical functions categories.
Fractional Calculus And Its Applications
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Author : B. Ross
language : en
Publisher: Springer
Release Date : 2006-11-15
Fractional Calculus And Its Applications written by B. Ross and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Trigonometry For Beginners
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Author : John Bascombe Lock
language : en
Publisher:
Release Date : 1896
Trigonometry For Beginners written by John Bascombe Lock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Logarithms categories.
Matrices And Trigonometry
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Author : Isiah Mcneil
language : en
Publisher: Scientific e-Resources
Release Date : 2019-03-19
Matrices And Trigonometry written by Isiah Mcneil and has been published by Scientific e-Resources this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with categories.
Matrices and Determinants were discovered and developed in the eighteenth and nineteenth centuries. Initially, their development dealt with transformation of geometric objects and solution of systems of linear equations. Historically, the early emphasis was on the determinant, not the matrix. In modern treatments of linear algebra, matrices are considered first. We will not speculate much on this issue. The trigonometric functions (especially sine and cosine) for real or complex square matrices occur in solutions of second-order systems of differential equations. Trigonometry is a branch of mathematics that studies triangles, particularly right triangles. It deals with relationships between the sides and the angles of triangles and with the trigonometric functions, which describe those relationships, as well as describing angles in general and the motion of waves such as sound and light waves. Trigonometric concepts are used to minimize the amount of measuring . These concepts depend on the concepts of enlargement and similarity. Equiangular triangles have the same shape, but only in the special case of congruency they do have the same size. Any set of similar triangles has the invariant property of proportionality; that is, ratios of pairs of corresponding sides are in the same proportion. In the language of transformation geometry, for similar triangles, one triangle is an enlargement of another, or any triangle can be transformed into another by applying the same scale factor to each part of the triangle. In the case of a fractional scale factor the enlargement is, in fact, a reduction. It is hoped that the book would be highly useful for the students and teachers of mathematics. Students aspiring to successfully accomplish engineering and also those preparing for various competitive examinations are likely to find this book of much help.
Trigonometry Self Taught
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Author : Peter H. Selby
language : en
Publisher: McGraw-Hill Companies
Release Date : 1964
Trigonometry Self Taught written by Peter H. Selby and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Mathematics categories.
Elementary Trigonometry
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Author : William Frothingham Bradbury
language : en
Publisher: CUP Archive
Release Date : 1872
Elementary Trigonometry written by William Frothingham Bradbury and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1872 with Trigonometry categories.
Trigonometry And Double Algebra
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Author : Augustus De Morgan
language : en
Publisher:
Release Date : 1849
Trigonometry And Double Algebra written by Augustus De Morgan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1849 with Algebra categories.
Trigonometry
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Author : Harley Flanders
language : en
Publisher:
Release Date : 1975
Trigonometry written by Harley Flanders and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.