Download or read book Generalized Inverses of Linear Transformations written by Stephen L. Campbell and published by SIAM. This book was released on 2009-03-26 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides comprehensive coverage of the mathematical theory of generalized inverses and a wide range of important and practical applications.
Download or read book A First Course in Linear Algebra written by Kenneth Kuttler and published by . This book was released on 2020 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A First Course in Linear Algebra, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course for the general students who have an understanding of basic high school algebra and intend to be users of linear algebra methods in their profession, from business & economics to science students. All major topics of linear algebra are available in detail, as well as justifications of important results. In addition, connections to topics covered in advanced courses are introduced. The textbook is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the textbook."--BCcampus website.
Download or read book Transforms and Applications Handbook written by Alexander D. Poularikas and published by CRC Press. This book was released on 2018-09-03 with total page 911 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and systems, including properties of the delta function and some classical orthogonal functions. It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properties of each type. The material is presented in a way that makes it easy for readers from different backgrounds to familiarize themselves with the wide range of transform applications. Revisiting transforms previously covered, this book adds information on other important ones, including: Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite Fraction Fourier Zak Continuous and discrete Chirp-Fourier Multidimensional discrete unitary Hilbert-Huang Most comparable books cover only a few of the transforms addressed here, making this text by far the most useful for anyone involved in signal processing—including electrical and communication engineers, mathematicians, and any other scientist working in this field.
Download or read book Calculus Volume 3 written by Edwin Herman and published by . This book was released on 2016-03-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Download or read book Algebras of Linear Transformations written by Douglas R. Farenick and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies algebras and linear transformations acting on finite-dimensional vector spaces over arbitrary fields. It is written for readers who have prior knowledge of algebra and linear algebra. The goal is to present a balance of theory and example in order for readers to gain a firm understanding of the basic theory of finite-dimensional algebras and to provide a foundation for subsequent advanced study in a number of areas of mathematics.
Download or read book Euclidean Geometry and Transformations written by Clayton W. Dodge and published by Courier Corporation. This book was released on 2012-04-26 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
Download or read book Transformation A Fundamental Idea of Mathematics Education written by Sebastian Rezat and published by Springer Science & Business Media. This book was released on 2013-12-13 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?
Download or read book From Alternating Current to the Fourier Transform written by Sandro Ronca and published by Sandro Ronca. This book was released on 2023-11-15 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book outlines a path that, in addition to providing the necessary foundation for dealing with the study of AC systems, allows an overview and an introduction to some of the powerful mathematical ideas and methods, fundamental to many areas of current science and technology. Besides a theoretical review for the practitioner, it can be profitably used as a bridge in the transition from high-school mathematics to specialized university courses. This is why the reader is accompanied on the journey by "mathematical interludes," in which he/she will find useful reminders and insights. It also constitutes a cultural proposal dedicated to all those who, like I. Newton, holding between two fingers the grain of their knowledge, always see, in the background, the ocean of the unknown. 1 - SINUSOIDAL ELECTRICAL QUANTITIES 2 - SINUSOIDS, PHASORS AND COMPLEX NUMBERS 3 - IMPEDANCE AND REACTANCE 4 - ADMITTANCE AND A.C. NETWORKS 5 - RESONANCE 6 - ELECTRICAL POWER IN A.C. SYSTEMS 7 - TRANSIENTS AND OSCILLATIONS 8 - THE FOURIER SERIES 9 - VECTOR AND HILBERT SPACES 10 - THE FOURIER TRANSFORM SANDRO RONCA After studying Physics at the University of Padua, he dedicated himself to teaching Electrical Technologies and Computer Science in Upper Secondary Education Technical Schools, deepening the didactic aspects. He has studied computer networks in depth and designed, at the request of Industrial Associations, courses for System Analysts and IT Security Managers.
Download or read book Optical Signal Processing written by Joseph Horner and published by Elsevier. This book was released on 2012-12-02 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optical Signal Processing is a collection of synopses of the works of many experts in the different fields of optical signal processing. The book also includes systems or algorithms that have been successfully tried and used. The monograph is divided into seven parts. Part I discusses color image processing and white-light Fourier transformations, while Part II covers topics related to pattern recognition such as optical feature extraction and unconventional correlators. Part III deals with temporal signal processing and its related optical architectures, acoustooptic synthetic aperture radar processors, and acoustooptic signal processors. Part IV tackles nonlinear optical processors and waveguide devices. Part V discusses optical and tomographic transformation. Part VI deals with optical numeric processing, optical linear algebra processors, and related algorithm and software. Part VII talks about devices and components and their applications such as fiber-optic delay-line signal processors and spatial light modulators. The text is recommended for engineers and scientists in the field of optical signal processing, especially those who would like to know more of its advancements.
Download or read book Metamorphosis written by Gertraud Goodwin and published by Temple Lodge Publishing. This book was released on 2016-05-09 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: ‘Approaching the different and manifold sequences in this book... one will gradually come to realise that metamorphosis can become an ideal for knowledge, a guiding path for self-knowledge and knowledge of the world – as intuitive contemplation and as artistic creation.’ – Dr Peter Wolf What is metamorphosis? Through the medium of art, sculptor Gertraud Goodwin invites us to enter the realm of time and continuously changing movement in this highly original book. With chapters by various artists and writers, interwoven with her key insights, Goodwin offers numerous points of entry to understanding the mystery of metamorphosis. Profusely-illustrated in colour, we are shown many sequences of images – of sculptures, reliefs and graphic works – which, with the aid of informed commentary, we are invited to ‘read’. These images belong together, developing from one to the next – just as single experiences and events in life belong to our biographies. One motif, one movement, passes through all stages, from simple beginnings and more differentiated formations, to a culmination – and, from there, back to a more mature simplicity and concentration, which makes a new beginning possible. ‘In relation to the transcendent, where ordinary words fail, the language of form, texture and relations in space, like those of music in time, offer alternatives to words, perhaps less encumbered by preconceptions. These pages offer many examples of the beauties and mysteries of metamorphosis, which is itself an essential component of Nature’s creative language.’ – Dr Philip Kilner
Download or read book Perceptual Organization in Computer and Biological Vision written by James Elder and published by Frontiers Media SA. This book was released on 2024-08-22 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: A principal challenge for both biological and machine vision systems is to integrate and organize the diversity of cues received from the environment into the coherent global representations we experience and require to make good decisions and take effective actions. Early psychological investigations date back more than 100 years to the seminal work of the Gestalt school. Yet in the last 50 years, neuroscientific and computational approaches to understanding perceptual organization have become equally important, and a full understanding requires integration of all three approaches. This highly interdisciplinary Research Topic welcomes contributions spanning Computer Science, Psychology, and Neuroscience, with the aim of presenting a single, unified collection that will encourage integration and cross-fertilization across disciplines.
Download or read book Mathematical Formulas for Economists written by Bernd Luderer and published by Springer Science & Business Media. This book was released on 2005-11-21 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present collection of formulas has been composed for students of economics or management science at universities, colleges and trade schools. It contains basic knowledge in mathematics, financial mathematics and statistics in a compact and clearly arranged form. This volume is meant to be a reference work to be used by students of undergraduate courses together with a textbook, and by researchers in need of exact statements of mathematical results. People dealing with practical or applied problems will also find this collection to be an efficient and easy-to-use work of reference.
Download or read book LINEAR ALGEBRA written by MANJU SHARMA and published by Ram Prasad Publications(R.P.H.). This book was released on with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unit-1 1. Analytic Functions, Cauchy-Riemann Equations, Harmonic Functions 1-40 Complex Number System 1; Complex Numbers as Ordered Pairs 1; The Polar Form 1; Function of a Complex Variable 2; Single Valued Function(or Uniform Function) 2; Multiple-Valued Function(or Many-Valued Function) 3; Limit of a Function 3; Theorems on Limits 3; Continuity 3; Fundamental Operations as Applied to Continuous Function 4; Continuity in Terms of Real and Imaginary Parts of f(z) 4; Uniform Continuity 4; Differentiability of a Complex Function 5; Geometric Interpretation of the Derivative 5; Partial Derivative 6; Analytic Function 6; The Necessary Conditions for f(z) to be Analytic [(Cauchy-Riemann Equations (C-R Equations)] 6; The Sufficient Condition for f(z) to be Analytic 8; Polar Form of Cauchy-Riemann Equations 9; Derivative of w in Polar Form 11; Functions of a Function 12; Derivative of a Function of a Function 12; Inverse Function 12; Laplace Equation 13; Harmonic Function 13; Theorem 13; Conjugate Harmonic Functions 14; Theorem 14; Determination of the Conjugate Function 14; To Construct a Function f(z) when One Conjugate Function is Given 15; Orthogonal System 16; Theorem 16. 2. Mobius Transformation, Cross Ratio 41-68 Elementary Functions 41; Mapping or Transformation 43; Definition of Mapping 43; Mobius Transformation or Bilinear Transformation or Fractional Transformation 43; Inverse Transformation 44; Critical Points and Critical Mapping 44; Resultant or Product of Two Mobius Transformations (Group Property) 45; Some Theorems 46; Fixed Points (or Invariant Points) of Mobius Transformation 47; Theorem 48; Cross Ratio 48; Some Theorems 49; The Circle 54; Inverse Points with Respect to a Circle 55; To find the Relation between the Inverse Points with Respect to the Circle 55; Nature of Transformations (Elliptic, Hyperbolic and Parabolic Transformations) 56; Some Theorems 58. 3. Vector Space 69-123 Vector Space 69; Various Notations 70; General Properties (Elementary Properties) of Vector Spaces 70; Vector Subspace 77; Union and Intersection of Subspaces 83; Sum of Subspaces 85; Some Definitions 91; Basis of a Vector Space 91; Dimension of a Vector Space 92; Finite Dimensional Vector Space 102; Some Theorems on Finite Dimensional Spaces 102; Quotient Space 115. 4. Linear Transformation 124-158 Definition 124; Purpose 124; Image 124; Existence and Uniqueness 124; Types of Linear Transformation 127; Determining whether a Mapping is Linear Transformation or Not 127; Isomorphism of Vector Spaces 133; Theorems on Isomorphism 134; Kernel of Linear Transformation T or Kernel of a Homomorphism T 142; Theorem 142; Range of a Linear Transformation 143; Theorem 143; Lemma 144; Sylvester Law of Nullity [Rank-Nullity Theorem] 144; Fundamental Theorem of Vector Space Homomorphism 146. 5. Inner Product Spaces 159-200 Inner Product 159; Usual or Standard Inner Product 159; Inner Product Space 162; Theorems 162; Some Important Terms about Vectors 168; Norm or Length of a Vector a in an Inner Product Space 168; Theorems 169; Orthogonality 170; Orthogonal Complement 171; Orthogonal Basis and Orthonormal Basis 172; Gram-Schmidt Orthogonalization Process 172; Theorems on Orthogonal/ Orthonormal Bases 173; Cauchy-Schwarz’s Inequality or Schwarz’s Inequality 186; Bessel’s Inequality 188; Normed Vector Space or Normal Vector Space 194; Distance in an Inner Product Space 195.
Download or read book Journal of the American Institute of Electrical Engineers written by American Institute of Electrical Engineers and published by . This book was released on 1925 with total page 1484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes preprints of: Transactions of the American Institute of Electrical Engineers, ISSN 0096-3860
Download or read book Introduction to Higher Algebra written by Maxime Bôcher and published by . This book was released on 1907 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Signals and Systems written by Steven T. Karris and published by Orchard Publications. This book was released on 2012 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is primarily written for junior and senior undergraduates majoring in electrical and computer engineering. You will need this text if you are a student or working professional seeking to learn and/or review the basics of the Laplace and Z-transforms, the Fast Fourier Transform (FFT), state variables, design of analog and digital filters, window functions, cross correlation, auto correlation, and an example of a describing function. Contains many real-world examples completely solved in detail and verified with MATLAB script and Simulink models.
Download or read book Elements of Solid State Theory written by Gregory H. Wannier and published by CUP Archive. This book was released on with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
