Matrices And Trigonometry
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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.
Matrix And Linear Algebra Aided With Matlab
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Author : Kanti Bhushan Datta
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2016-12-01
Matrix And Linear Algebra Aided With Matlab written by Kanti Bhushan Datta and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-01 with Mathematics categories.
With the inclusion of applications of singular value decomposition (SVD) and principal component analysis (PCA) to image compression and data analysis, this edition provides a strong foundation of linear algebra needed for a higher study in signal processing. The use of MATLAB in the study of linear algebra for a variety of computational purposes and the programmes provided in this text are the most attractive features of this book which strikingly distinguishes it from the existing linear algebra books needed as pre-requisites for the study of engineering subjects. This book is highly suitable for undergraduate as well as postgraduate students of mathematics, statistics, and all engineering disciplines. The book will also be useful to Ph.D. students for relevant mathematical resources.NEW TO THIS EDITION The Third Edition of this book includes: • Simultaneous diagonalization of two diagonalizable matrices • Comprehensive exposition of SVD with applications in shear analysis in engineering • Polar Decomposition of a matrix • Numerical experimentation with a colour and a black-and-white image compression using MATLAB • PCA methods of data analysis and image compression with a list of MATLAB codes
Algebra
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Author : Mary P. Dolciani
language : en
Publisher:
Release Date : 1988-08-01
Algebra written by Mary P. Dolciani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-08-01 with categories.
Notes On The Elements Of Algebra And Trigonometry
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Author : William Nathaniel Griffin
language : en
Publisher:
Release Date : 2009-03
Notes On The Elements Of Algebra And Trigonometry written by William Nathaniel Griffin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03 with categories.
This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Use Quadratic Exponential Logarithmic And Trigonometric Functions And Matrices
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Author :
language : en
Publisher:
Release Date : 2008
Use Quadratic Exponential Logarithmic And Trigonometric Functions And Matrices written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Engineering mathematics categories.
"In this unit you will learn various 'pre-calculus' mathematical techniques relating to algebra, trigonometry and matrix algebra. These techniques may be described as essential knowledge in order to study technology-oriented subjects at Diploma-level, such as fluid dynamics and statics." - page 1.
Algebra Trigonometry
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Author : HARI KISHAN
language : en
Publisher: Ram Prasad Publications(R.P.H.)
Release Date :
Algebra Trigonometry written by HARI KISHAN and has been published by Ram Prasad Publications(R.P.H.) this book supported file pdf, txt, epub, kindle and other format this book has been release on with Juvenile Nonfiction categories.
Unit I De-Moivre’s theorem and its applications, Square root of complex number. Inverse circular and hyperbolic functions. Logarithm of complex quantity. Summation of series. C+iS methods based on binomial, Geometric, Exponential, sin x and cos x. Unit II Definition of rank of a matrix. Theorems on consistency of a system of linear equations. Application of matrices to a system of linear (homogeneous and non-homogeneous equations). Eigen values, Eigen vectors and characteristic equation of a matrix. Caley Hamilton’s theorem Unit III Relation between roots and coefficients of a general polynomial equation in one variable, Transformation of equations. Descarte’s rule of signs. Solution of cubic equations (Cardon’s method). Unit IV Divisibility, Definition and elementary properties. Division Algorithm, G.C.D. and L.C.M. of two integers, Basic properties of G.C.D., Euclidean algorithm. Primes. Euclid’s theorem. Unique factorization theorem.
Eigenvalues Embeddings And Generalised Trigonometric Functions
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Author : Jan Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-23
Eigenvalues Embeddings And Generalised Trigonometric Functions written by Jan Lang 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 2011-03-23 with Education categories.
The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian.
Topics In Mathematics I Paper I Algebra And Trigonometry
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Author : Kulbhushan Parkash; Om P. Chug; P.N. Gupta
language : en
Publisher: Laxmi Publications
Release Date : 2005-12
Topics In Mathematics I Paper I Algebra And Trigonometry written by Kulbhushan Parkash; Om P. Chug; P.N. Gupta and has been published by Laxmi Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12 with categories.
Theory Of Matrices
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Author : B S Vatssa
language : en
Publisher: New Age International
Release Date : 2007
Theory Of Matrices written by B S Vatssa and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Matrices categories.
This Book Enables Students To Thoroughly Master Pre-College Mathematics And Helps Them To Prepare For Various Entrance (Screening) Tests With Skill And Confidence.The Book Thoroughly Explains The Following: 1. Algebra 2. Trigonometry 3. Co-Ordinate Geometry 4. Three Dimensional Geometry 5. Calculus 6. Vectors 7. StatisticsIn Addition To Theory, The Book Includes A Large Number Of -Solved Examples -Practice Problems With Answers -Objective Questions Including Multiple Choice, True/False And Fill-In-The-Blanks -Model Test Papers And Iit Screening Tests For Self-Test The Language Is Clear And Simple Throughout The Book And The Entire Subject Is Explained In An Interesting And Easy-To-Understand Manner.
Linear Algebra
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Author : K. A. Stroud
language : en
Publisher: Industrial Press Inc.
Release Date : 2008
Linear Algebra written by K. A. Stroud and has been published by Industrial Press Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Using the same innovative and proven approach that made the authors' Engineering Mathematics a worldwide bestseller, this book can be used in the classroom or as an in-depth self-study guide. Its unique programmed approach patiently presents the mathematics in a step-by-step fashion together with a wealth of worked examples and exercises. It also contains Quizzes, Learning Outcomes, and Can You? checklists that guide readers through each topic and reinforce learning and comprehension. Both students and professionals alike will find this book a very effective learning tool and reference. Uses a unique programmed approach that takes readers through the mathematics in a step-by-step fashion with a wealth of worked examples and exercises. Contains many Quizzes, Learning Outcomes, and Can You? checklists. Ideal as a classroom textbook or a self-learning manual.