Geometrical Vectors

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Geometrical Vectors
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Author : Gabriel Weinreich
language : en
Publisher: University of Chicago Press
Release Date : 2020-06-05
Geometrical Vectors written by Gabriel Weinreich and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-05 with Science categories.
Every advanced undergraduate and graduate student of physics must master the concepts of vectors and vector analysis. Yet most books cover this topic by merely repeating the introductory-level treatment based on a limited algebraic or analytic view of the subject. Geometrical Vectors introduces a more sophisticated approach, which not only brings together many loose ends of the traditional treatment, but also leads directly into the practical use of vectors in general curvilinear coordinates by carefully separating those relationships which are topologically invariant from those which are not. Based on the essentially geometric nature of the subject, this approach builds consistently on students' prior knowledge and geometrical intuition. Written in an informal and personal style, Geometrical Vectors provides a handy guide for any student of vector analysis. Clear, carefully constructed line drawings illustrate key points in the text, and problem sets as well as physical examples are provided.
Vector Geometry
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Author : Gilbert de B. Robinson
language : en
Publisher: Courier Corporation
Release Date : 2013-10-10
Vector Geometry written by Gilbert de B. Robinson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-10 with Mathematics categories.
Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.
Vector Analysis And Geometry
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Author : B.R. THAKUR
language : en
Publisher: Ram Prasad Publications(R.P.H.)
Release Date :
Vector Analysis And Geometry written by B.R. THAKUR 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 Mathematics categories.
MATHEMATICS, GANIT, B.SC , IST YEAR, RP, RPP UNIFIED
About Vectors
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Author : Banesh Hoffmann
language : en
Publisher: Courier Corporation
Release Date : 2012-05-24
About Vectors written by Banesh Hoffmann and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-24 with Mathematics categories.
From his unusual beginning in "Defining a vector" to his final comments on "What then is a vector?" author Banesh Hoffmann has written a book that is provocative and unconventional. In his emphasis on the unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics without using calculus. The result is a treatment that can serve as a supplement and corrective to textbooks, as well as collateral reading in all courses that deal with vectors. Major topics include vectors and the parallelogram law; algebraic notation and basic ideas; vector algebra; scalars and scalar products; vector products and quotients of vectors; and tensors. The author writes with a fresh, challenging style, making all complex concepts readily understandable. Nearly 400 exercises appear throughout the text. Professor of Mathematics at Queens College at the City University of New York, Banesh Hoffmann is also the author of The Strange Story of the Quantum and other important books. This volume provides much that is new for both students and their instructors, and it will certainly generate debate and discussion in the classroom.
Advances In Architectural Geometry 2014
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Author : Philippe Block
language : en
Publisher: Springer
Release Date : 2014-12-26
Advances In Architectural Geometry 2014 written by Philippe Block and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-26 with Mathematics categories.
This book contains 24 technical papers presented at the fourth edition of the Advances in Architectural Geometry conference, AAG 2014, held in London, England, September 2014. It offers engineers, mathematicians, designers, and contractors insight into the efficient design, analysis, and manufacture of complex shapes, which will help open up new horizons for architecture. The book examines geometric aspects involved in architectural design, ranging from initial conception to final fabrication. It focuses on four key topics: applied geometry, architecture, computational design, and also practice in the form of case studies. In addition, the book also features algorithms, proposed implementation, experimental results, and illustrations. Overall, the book presents both theoretical and practical work linked to new geometrical developments in architecture. It gathers the diverse components of the contemporary architectural tendencies that push the building envelope towards free form in order to respond to multiple current design challenges. With its introduction of novel computational algorithms and tools, this book will prove an ideal resource to both newcomers to the field as well as advanced practitioners.
Quantum Mechanics For Scientists And Engineers
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Author : David A. B. Miller
language : en
Publisher: Cambridge University Press
Release Date : 2008-04-21
Quantum Mechanics For Scientists And Engineers written by David A. B. Miller and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-21 with Technology & Engineering categories.
If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nanotechnology, and other disciplines. Additional resources available from www.cambridge.org/9780521897839.
Unsupervised Feature Extraction Applied To Bioinformatics
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Author : Y-h. Taguchi
language : en
Publisher: Springer Nature
Release Date : 2024-08-31
Unsupervised Feature Extraction Applied To Bioinformatics written by Y-h. Taguchi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-31 with Technology & Engineering categories.
This updated book proposes applications of tensor decomposition to unsupervised feature extraction and feature selection. The author posits that although supervised methods including deep learning have become popular, unsupervised methods have their own advantages. He argues that this is the case because unsupervised methods are easy to learn since tensor decomposition is a conventional linear methodology. This book starts from very basic linear algebra and reaches the cutting edge methodologies applied to difficult situations when there are many features (variables) while only small number of samples are available. The author includes advanced descriptions about tensor decomposition including Tucker decomposition using high order singular value decomposition as well as higher order orthogonal iteration, and train tensor decomposition. The author concludes by showing unsupervised methods and their application to a wide range of topics.
Numerical Methods For Engineering And Data Science
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Author : Rolf Wuthrich
language : en
Publisher: CRC Press
Release Date : 2025-05-22
Numerical Methods For Engineering And Data Science written by Rolf Wuthrich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-22 with Computers categories.
Numerical Methods for Engineering and Data Science guides students in implementing numerical methods in engineering and in assessing their limitations and accuracy, particularly using algorithms from the field of machine learning. The textbook presents key principles building upon the fundamentals of engineering mathematics. It explores classical techniques for solving linear and nonlinear equations, computing definite integrals and differential equations. Emphasis is placed on the theoretical underpinnings, with an in-depth discussion of the sources of errors, and in the practical implementation of these using Octave. Each chapter is supplemented with examples and exercises designed to reinforce the concepts and encourage hands-on practice. The second half of the book transitions into the realm of machine learning. The authors introduce basic concepts and algorithms, such as linear regression and classification. As in the first part of this book, a special focus is on the solid understanding of errors and practical implementation of the algorithms. In particular, the concepts of bias, variance, and noise are discussed in detail and illustrated with numerous examples. This book will be of interest to students in all areas of engineering, alongside mathematicians and scientists in industry looking to improve their knowledge of this important field.
Geometric Algebra For Computer Science
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Author : Leo Dorst
language : en
Publisher: Elsevier
Release Date : 2010-07-26
Geometric Algebra For Computer Science written by Leo Dorst and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-26 with Computers categories.
Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing* Written by leaders in the field providing essential information on this new technique for 3D graphics* This full colour book includes a website with GAViewer, a program to experiment with GA
Key Maths Gcse
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Author : David Baker
language : en
Publisher: Nelson Thornes
Release Date : 2002-01-25
Key Maths Gcse written by David Baker and has been published by Nelson Thornes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-25 with Juvenile Nonfiction categories.
Developed for the AQA Specification, revised for the new National Curriculum and the new GCSE specifications. The Teacher File contains detailed support and guidance on advanced planning, points of emphasis, key words, notes for non-specialist, useful supplementary ideas and homework sheets.