Linear Algebra And Analytic Geometry

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Linear Algebra And Analytic Geometry
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Author : Bennie Marsh & Frankie Murray
language : en
Publisher: Scientific e-Resources
Release Date : 2018-01-18
Linear Algebra And Analytic Geometry written by Bennie Marsh & Frankie Murray 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 2018-01-18 with categories.
In this book, the topics are presented in the same order as in the textbook. The problems concern two content areas: Linear Algebra, and Analytical Geometry. After reading this book, a student should be ables to solve linear equations and to perform the basic operations on numbers and algebraic expressions. The Linear Algebra tests will reveal readers' knowledge and skills, readers' abilities in interpreting symbols, justifying statements and constructing proofs. Readers should be able to apply the properties of determinants and matrix operations and solve linear systems of equations. The Analytical Geometry topics include different forms of equations of straight lines and planes; angles between simple figures; the curves of the second order. This book will prove definitive and ideal reference tool to research scholars, academicians and educationists.
Linear Algebra And Analytic Geometry For Physical Sciences
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Author : Giovanni Landi
language : en
Publisher: Springer
Release Date : 2018-05-12
Linear Algebra And Analytic Geometry For Physical Sciences written by Giovanni Landi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-12 with Science categories.
A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises.Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac’s bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number.The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification.
Linear Algebra And Geometry
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Author : Igor R. Shafarevich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-23
Linear Algebra And Geometry written by Igor R. Shafarevich 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 2012-08-23 with Mathematics categories.
This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.
Linear Algebra And Analytic Geometry
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Author : Heinrich W. Brinkmann
language : en
Publisher:
Release Date : 1971
Linear Algebra And Analytic Geometry written by Heinrich W. Brinkmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
The Linear Algebra A Beginning Graduate Student Ought To Know
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Author : Jonathan S. Golan
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-31
The Linear Algebra A Beginning Graduate Student Ought To Know written by Jonathan S. Golan 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 2004-01-31 with Computers categories.
Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as computer science, the physical and social sciences, and engineering. It entails an extensive corpus of theoretical results as well as a large body of computational techniques. The book is intended to be used in one of several possible ways: (1) as a self-study guide; (2) as a textbook for a course in advanced linear algebra, either at the upper-class undergraduate level or at the first-year graduate level; or (3) as a reference book. It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifying exams. The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some basic ideas and techniques, such as the solution of a small system of linear equations over the real numbers. More importantly, it does assume a seriousness of purpose and a modicum of mathematical sophistication. The book also contains over 1000 exercises, many of which are very challenging.
Algebraic And Analytic Geometry
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Author : Amnon Neeman
language : en
Publisher: Cambridge University Press
Release Date : 2007-09-13
Algebraic And Analytic Geometry written by Amnon Neeman 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 2007-09-13 with Mathematics categories.
Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.
Calculus With Analytic Geometry
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Author : Howard Anton
language : en
Publisher: Wiley
Release Date : 1995
Calculus With Analytic Geometry written by Howard Anton and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Linear Algebra
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Author : Aleksandr Samuilovič Solodovnikov
language : en
Publisher:
Release Date : 1990
Linear Algebra written by Aleksandr Samuilovič Solodovnikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
A First Course In Calculus
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Author : Serge Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-17
A First Course In Calculus written by Serge 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 2012-09-17 with Mathematics categories.
The purpose of a first course in calculus is to teach the student the basic notions of derivative and integral, and the basic techniques and applica tions which accompany them. The very talented students, with an ob vious aptitude for mathematics, will rapidly require a course in functions of one real variable, more or less as it is understood by professional is not primarily addressed to them (although mathematicians. This book I hope they will be able to acquire from it a good introduction at an early age). I have not written this course in the style I would use for an advanced monograph, on sophisticated topics. One writes an advanced monograph for oneself, because one wants to give permanent form to one's vision of some beautiful part of mathematics, not otherwise ac cessible, somewhat in the manner of a composer setting down his sym phony in musical notation. This book is written for the students to give them an immediate, and pleasant, access to the subject. I hope that I have struck a proper com promise, between dwelling too much on special details and not giving enough technical exercises, necessary to acquire the desired familiarity with the subject. In any case, certain routine habits of sophisticated mathematicians are unsuitable for a first course. Rigor. This does not mean that so-called rigor has to be abandoned.