Trigonometr A
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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
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Author : Roger Delbourgo
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-12-15
Trigonometry written by Roger Delbourgo 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 2016-12-15 with categories.
This book provides a thorough, intermediate-level yet concise course in Trigonometry for use in colleges. There are 37 short chapters, each treating one specific theme and containing worked examples and easy exercises. Central to the work are the trigonometric properties of triangle ABC and its associated points. A small appendix contains some Spherical Trigonometry with interesting problems related to the earth; a larger one for enthusiastic students provides further lengthier exercises for extra practice, and full solutions are supplied in the conclusion. Compared with other books on Trigonometry, this book covers the vast spread of topics. Especially, the author reminds readers of the historical importance of theorems enunciated by such contributors as Ptolemy, Euler, Morley, etc. Their names not only invite the readers to appreciate the beauty of these results, but also direct readers to mystery unknown. Request Inspection Copy
Learning Trigonometry By Problem Solving
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Author : Alexander Rozenblyum
language : en
Publisher: World Scientific
Release Date : 2021-06-25
Learning Trigonometry By Problem Solving written by Alexander Rozenblyum and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-25 with Mathematics categories.
In this book, trigonometry is presented mainly through the solution of specific problems. The problems are meant to help the reader consolidate their knowledge of the subject. In addition, they serve to motivate and provide context for the concepts, definitions, and results as they are presented. In this way, it enables a more active mastery of the subject, directly linking the results of the theory with their applications. Some historical notes are also embedded in selected chapters.The problems in the book are selected from a variety of disciplines, such as physics, medicine, architecture, and so on. They include solving triangles, trigonometric equations, and their applications. Taken together, the problems cover the entirety of material contained in a standard trigonometry course which is studied in high school and college.We have also added some interesting, in our opinion, entertainment problems. To solve them, no special knowledge is required. While they are not directly related to the subject of the book, they reflect its spirit and contribute to a more lighthearted reading of the material.
Trigonometry A Very Short Introduction
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Author : Glen Van Brummelen
language : en
Publisher: Oxford University Press
Release Date : 2020-01-23
Trigonometry A Very Short Introduction written by Glen Van Brummelen and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Mathematics categories.
Born of the desire to understand the workings of motions of the heavenly bodies, trigonometry gave the ancient Greeks the ability to predict their futures. Most of what we see of the subject in school comes from these heavenly origins; 15th century astronomer Regiomontanus called it "the foot of the ladder to the stars". In this Very Short Introduction Glen Van Brummelen shows how trigonometry connects mathematics to science, and has today become an indispensable tool in predicting cyclic patterns like animal populations and ocean tides. Its historical journey through major cultures such as medieval India and the Islamic World has taken it through disciplines such as geography and even religious practice. Trigonometry has also been a major player in the most startling mathematical developments of the modern world. Its interactions with the concept of infinity led to Taylor and Fourier series, some of the most practical tools of modern science. The birth of complex numbers led to a shocking union of exponential and trigonometric functions, creating the most beautiful formulas and powerful modelling tools in science. Finally, as Van Brummelen shows, trigonometry allows us to explore the strange new worlds of non-Euclidean geometries, opening up bizarre possibilities for the shape of space itself. And indeed, one of those new geometries - spherical - takes us full circle back to ancient Greek astronomers and European navigators, who first used it to chart their ways across the heavens and the earth. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Trigonometry
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Author : Alfred Monroe Kenyon
language : en
Publisher:
Release Date : 1913
Trigonometry written by Alfred Monroe Kenyon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1913 with Trigonometry categories.
Elements Of Trigonometry With Logarithmic And Other Tables
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Author : Henry Hunt Ludlow
language : en
Publisher:
Release Date : 1891
Elements Of Trigonometry With Logarithmic And Other Tables written by Henry Hunt Ludlow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1891 with Logarithms categories.
Advanced Trigonometry
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Author : C. V. Durell
language : en
Publisher: Courier Corporation
Release Date : 2003-11-19
Advanced Trigonometry written by C. V. Durell and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-19 with Mathematics categories.
This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes 79 figures.
One Third Angle In Trigonometry
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Author : Bhava Nath Dahal
language : en
Publisher: Bhava Nath Dahal
Release Date : 2016-10-15
One Third Angle In Trigonometry written by Bhava Nath Dahal and has been published by Bhava Nath Dahal this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-15 with Mathematics categories.
Breaking Classical Rules in Trigonometry. Mission 2050. New method to find trigonometric values for one-third angle of a known angle. It suggest a simple method to solve the cubic equation involved in the one-third angles. The method does not use an imaginary number root nor use a complex depression method. Learning new method may be for one hour study. New theorem has introduced to trigonometric values of one-third angle through Crd. 120˚ of Sin 60˚ - route. Same concept has promoted for one-fifth angle as 72˚ and 36˚-route for 5 roots of one-fifth angle. Use of 120˚ ± A, 72˚ ± A, 36˚ ± A, 30˚ ± A, 25.7˚ ± A, 24˚ ± A or 75˚ ± A etc. opens new area for the trigonometry. This book suggest the method for other higher degree equation for solving trigonometric identities. The book solves the complexities faced since 2000 years.
The Complete Idiot S Guide To Trigonometry
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Author : Dmitriy Fotiyev
language : en
Publisher: Dorling Kindersley Ltd
Release Date : 2012-04-03
The Complete Idiot S Guide To Trigonometry written by Dmitriy Fotiyev and has been published by Dorling Kindersley Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-03 with Mathematics categories.
- Follows a standard course curriculum. - Includes both polar coordinates and complex numbers, unlike the competition.
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.