Topics On Generalized Trigonometric And Hyperbolic Functions

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Generalized Trigonometric And Hyperbolic Functions
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Author : Ronald E. Mickens
language : en
Publisher: CRC Press
Release Date : 2019-01-15
Generalized Trigonometric And Hyperbolic Functions written by Ronald E. Mickens and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-15 with Mathematics categories.
Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions. Previous efforts have started with integral representations for the inverse generalized sine functions, followed by the construction of the associated cosine functions, and from this, various properties of the generalized trigonometric functions are derived. However, the results contained in this book are based on the application of both geometrical phase space and dynamical systems methodologies. Features Clear, direct construction of a new set of generalized trigonometric and hyperbolic functions Presentation of why x2+y2 = 1, and related expressions, may be interpreted in three distinct ways All the constructions, proofs, and derivations can be readily followed and understood by students, researchers, and professionals in the natural and mathematical sciences
Topics On Generalized Trigonometric And Hyperbolic Functions
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Author : 楊喻文
language : en
Publisher:
Release Date : 2013
Topics On Generalized Trigonometric And Hyperbolic Functions written by 楊喻文 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Table Of Integrals Series And Products
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Author : I. S. Gradshteyn
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Table Of Integrals Series And Products written by I. S. Gradshteyn and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.
Squigonometry The Study Of Imperfect Circles
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Author : Robert D. Poodiack
language : en
Publisher: Springer Nature
Release Date : 2022-12-15
Squigonometry The Study Of Imperfect Circles written by Robert D. Poodiack and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Mathematics categories.
This textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |x|p + |y|p = 1 where p ≥ 1. Grounded in visualization and computations, this accessible, modern perspective encompasses new and old results, casting a fresh light on duality, special functions, geometric curves, and differential equations. Projects and opportunities for research abound, as we explore how similar (or different) the trigonometric and squigonometric worlds might be. Comprised of many short chapters, the book begins with core definitions and techniques. Successive chapters cover inverse squigonometric functions, the many possible re-interpretations of π, two deeper dives into parameterizing the squigonometric functions, and integration. Applications include a celebration of Piet Hein’s work in design. From here, more technical pathways offer further exploration. Topics include infinite series; hyperbolic, exponential, and logarithmic functions; metrics and norms; and lemniscatic and elliptic functions. Illuminating illustrations accompany the text throughout, along with historical anecdotes, engaging exercises, and wry humor. Squigonometry: The Study of Imperfect Circles invites readers to extend familiar notions from trigonometry into a new setting. Ideal for an undergraduate reading course in mathematics or a senior capstone, this book offers scaffolding for active discovery. Knowledge of the trigonometric functions, single-variable calculus, and initial-value problems is assumed, while familiarity with multivariable calculus and linear algebra will allow additional insights into certain later material.
19 Previous Year Nda Na Mathematics English General Knowledge Topic Wise Solved Papers 2006 2023 Set Of 2 Books 9th Edition 35 Authentic Papers 9450 Mcqs
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Author : Disha Experts
language : en
Publisher: Disha Publications
Release Date : 2024-10-22
19 Previous Year Nda Na Mathematics English General Knowledge Topic Wise Solved Papers 2006 2023 Set Of 2 Books 9th Edition 35 Authentic Papers 9450 Mcqs written by Disha Experts and has been published by Disha Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-22 with Antiques & Collectibles categories.
The 9th updated edition of the Combo (set of 2 Books) 19 Previous Year NDA/ NA English, General Knowledge & Mathematics Topic-wise Solved Papers (2006 - 2024) contains 37 Question papers of Mathematics held from April 2006 to September 2024. # The complete syllabus of NDA/ NA is divided into 56 Topics - Mathematics (24 Topics), English (8 Topics) & General Knowledge (24 Topics). # The Book consists of more than 9990 MCQs - Mathematics (4440 MCQs), English (1850 MCQs) & General Knowledge (3700 MCQs) - distributed among 56 Topics. # The strength of the book lies in the originality of its question papers and Errorless Solutions. # The Book provides detailed step-by step solutions to provide 100% concept clarity to the students.
Nonlinear Analysis
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Author : Themistocles M Rassias
language : en
Publisher: World Scientific
Release Date : 1988-01-01
Nonlinear Analysis written by Themistocles M Rassias and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.
Contents: Fixed Point Theory and Nonlinear Problems (Th Rassias)Global Linearization Iterative Methods and Nonlinear Partial Differential Equations III (M Altman)On Generalized Power Series and Generalized Operational Calculus and Its Application (M Al-Bassam)Multiple Solutions to Parametrized Nonlinear Differential Systems from Nielsen Fixed Point Theory (R Brown)The topology of Ind-Affine Sets (P Cherenack)Almost Approximately Polynomial Functions (P Cholewa)Cohomology Classes and Foliated Manifolds (M Craioveanu & M Puta)Bifurcation and Nonlinear Instability in Applied Mathematics (L Debnath)The Stability of Weakly Additive Functional (H Drljevic)Index Theory for G-Bundle Pairs with Applications to Borsuk-Ulam Type Theorems for G-Sphere Bundles (E Fadell & S Husseini)Nonlinear Approximation and Moment Problem (J S Hwang & G D Lin)Periods in Equicontinuous Topological Dynamical Systems (A Iwanik et al.)Continuation Theorems for Semi-Linear Equations in Banach Spaces: A Survey (J Mawhin & K Rybakowski)On Contractifiable Self-Mappings (P Meyers)Normal Structures and Nonexpansive Mappings in Banach Spaces (J Nelson et al.): Survey on Uniqueness and Classification Theorems for Minimal Surfaces (Th Rassias)Contractive Definitions (B Rhoades)On KY Fan's Theorem and Its Applications (S Singh)Fixed Points of Amenable Semigroups of Differentiable Operators (P Soardi)Research Problems on Nonlinear Equations (Th Rassias) Readership: Mathematicians and applied scientists. Keywords:Nonlinear Analysis;Nonlinear Partial Differential Equations III;Polynomial Functions;Cohomology Classes;Foliated Manifolds;Topological Dynamical Systems;Minimal Surfaces;Differentiable Operators;Nonlinear Equations
Guide To The Umbral Calculus A Different Mathematical Language
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Author : Silvia Licciardi
language : en
Publisher: World Scientific
Release Date : 2022-06-14
Guide To The Umbral Calculus A Different Mathematical Language written by Silvia Licciardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-14 with Science categories.
This book covers different aspects of umbral calculus and of its more recent developments. It discusses the technical details in depth, including its relevant applications. The book has therefore manyfold scopes to introduce a mathematical tool, not widespread known as it should be; to present a complete account of the relevant capabilities through the use of different examples of applications; to provide a formal bridge between different fields of research in pure and applied.
An Atlas Of Functions
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Author : Keith B. Oldham
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-15
An Atlas Of Functions written by Keith B. Oldham 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 2010-07-15 with Mathematics categories.
This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integer-valued functions then moves on to polynomials, Bessel, hypergeometric and hundreds more.
Newsletter
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Author :
language : en
Publisher:
Release Date : 1978
Newsletter written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Annual Catalogue
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Author : Massachusetts Institute of Technology
language : en
Publisher:
Release Date : 1953
Annual Catalogue written by Massachusetts Institute of Technology and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.