Ebook130 pages3 hours
Elements of Linear Space
By A. R. Amir-Moez and A. L. Fass
Rating: 0 out of 5 stars
()
About this ebook
Elements of Linear Space is a detailed treatment of the elements of linear spaces, including real spaces with no more than three dimensions and complex n-dimensional spaces. The geometry of conic sections and quadric surfaces is considered, along with algebraic structures, especially vector spaces and transformations. Problems drawn from various branches of geometry are given.
Comprised of 12 chapters, this volume begins with an introduction to real Euclidean space, followed by a discussion on linear transformations and matrices. The addition and multiplication of transformations and matrices are given emphasis. Subsequent chapters focus on some properties of determinants and systems of linear equations; special transformations and their matrices; unitary spaces; and some algebraic structures. Quadratic forms and their applications to geometry are also examined, together with linear transformations in general vector spaces. The book concludes with an evaluation of singular values and estimates of proper values of matrices, paying particular attention to linear transformations always on a unitary space of dimension n over the complex field.
This book will be of interest to both undergraduate and more advanced students of mathematics.
Comprised of 12 chapters, this volume begins with an introduction to real Euclidean space, followed by a discussion on linear transformations and matrices. The addition and multiplication of transformations and matrices are given emphasis. Subsequent chapters focus on some properties of determinants and systems of linear equations; special transformations and their matrices; unitary spaces; and some algebraic structures. Quadratic forms and their applications to geometry are also examined, together with linear transformations in general vector spaces. The book concludes with an evaluation of singular values and estimates of proper values of matrices, paying particular attention to linear transformations always on a unitary space of dimension n over the complex field.
This book will be of interest to both undergraduate and more advanced students of mathematics.
Related to Elements of Linear Space
Titles in the series (50)
Integral Equations: And Their Applications to Certain Problems in Mechanics, Mathematical Physics and Technology Rating: 2 out of 5 stars2/5The Theory of Lebesgue Measure and Integration Rating: 0 out of 5 stars0 ratingsIntroduction to Higher Algebra Rating: 0 out of 5 stars0 ratingsAbelian Groups Rating: 1 out of 5 stars1/5Axiomatics of Classical Statistical Mechanics Rating: 0 out of 5 stars0 ratingsIntroduction to Calculus Rating: 5 out of 5 stars5/5Calculus of Variations Rating: 0 out of 5 stars0 ratingsElements of Linear Space Rating: 0 out of 5 stars0 ratingsNon-Linear Differential Equations Rating: 0 out of 5 stars0 ratingsNomography Rating: 0 out of 5 stars0 ratingsThe Fundamentals of Mathematical Analysis Rating: 2 out of 5 stars2/5Linear Representations of the Lorentz Group Rating: 0 out of 5 stars0 ratingsConvergence Problems of Orthogonal Series Rating: 0 out of 5 stars0 ratingsGeneralized Analytic Functions Rating: 0 out of 5 stars0 ratingsMathematical Analysis: Functions, Limits, Series, Continued Fractions Rating: 0 out of 5 stars0 ratingsTheory of Approximation of Functions of a Real Variable Rating: 0 out of 5 stars0 ratingsAnalytical Quadrics Rating: 0 out of 5 stars0 ratingsA Course of Higher Mathematics Rating: 0 out of 5 stars0 ratingsApplied Methods of the Theory of Random Functions Rating: 0 out of 5 stars0 ratingsMathematical Techniques of Operational Research Rating: 0 out of 5 stars0 ratingsRadiative Transfer on Discrete Spaces Rating: 0 out of 5 stars0 ratingsSome Topics in Complex Analysis Rating: 0 out of 5 stars0 ratingsThe Theory of Jets in an Ideal Fluid Rating: 5 out of 5 stars5/5Lie Algebras Rating: 0 out of 5 stars0 ratingsOperational Calculus Rating: 0 out of 5 stars0 ratingsOperational Calculus Rating: 0 out of 5 stars0 ratingsVector Measures Rating: 0 out of 5 stars0 ratingsThe Method of Summary Representation for Numerical Solution of Problems of Mathematical Physics Rating: 0 out of 5 stars0 ratingsBoundary Value Problems Rating: 4 out of 5 stars4/5Homology Theory on Algebraic Varieties Rating: 1 out of 5 stars1/5
Related ebooks
Mathematical Methods: Linear Algebra / Normed Spaces / Distributions / Integration Rating: 0 out of 5 stars0 ratingsOperators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics Rating: 3 out of 5 stars3/5Elements of Differentiable Dynamics and Bifurcation Theory Rating: 0 out of 5 stars0 ratingsAxiomatic Projective Geometry Rating: 2 out of 5 stars2/5Introduction to Higher Algebra Rating: 0 out of 5 stars0 ratingsGeometry of Numbers Rating: 0 out of 5 stars0 ratingsAlgebraic Number Fields Rating: 0 out of 5 stars0 ratingsMathematical Techniques and Physical Applications Rating: 0 out of 5 stars0 ratingsGeneral Theory of Markov Processes Rating: 0 out of 5 stars0 ratingsElementary Topology: A Combinatorial and Algebraic Approach Rating: 0 out of 5 stars0 ratingsEuclidean and Affine Transformations: Geometric Transformations Rating: 0 out of 5 stars0 ratingsQuadratic Form Theory and Differential Equations Rating: 0 out of 5 stars0 ratingsApplications of Finite Groups Rating: 0 out of 5 stars0 ratingsNonlinear Partial Differential Equations and Their Applications: College de France Seminar Volume XIV Rating: 0 out of 5 stars0 ratingsIntroduction to Non-Euclidean Geometry Rating: 0 out of 5 stars0 ratingsNumber Theory Rating: 0 out of 5 stars0 ratingsHomotopy Theory: An Introduction to Algebraic Topology Rating: 0 out of 5 stars0 ratingsNonEuclidean Geometry Rating: 0 out of 5 stars0 ratingsA Course of Higher Mathematics: Adiwes International Series in Mathematics, Volume 3, Part 1 Rating: 4 out of 5 stars4/5Dynamic Programming and Partial Differential Equations Rating: 0 out of 5 stars0 ratingsTables of Lamé Polynomials: Mathematical Tables Rating: 0 out of 5 stars0 ratingsTheory of Linear Operations Rating: 0 out of 5 stars0 ratingsTopological Theory of Dynamical Systems: Recent Advances Rating: 0 out of 5 stars0 ratingsAn Elementary Course in Synthetic Projective Geometry Rating: 0 out of 5 stars0 ratingsTopological Rings Rating: 0 out of 5 stars0 ratingsVector and Operator Valued Measures and Applications Rating: 0 out of 5 stars0 ratingsGeneralized Functions: Theory and Technique Rating: 5 out of 5 stars5/5Topology and Its Applications Rating: 3 out of 5 stars3/5Introduction to Group Theory with Applications: Materials Science and Technology Rating: 1 out of 5 stars1/5Homology Theory on Algebraic Varieties Rating: 1 out of 5 stars1/5
Mathematics For You
Algebra - The Very Basics Rating: 5 out of 5 stars5/5Basic Math Notes Rating: 5 out of 5 stars5/5Geometry For Dummies Rating: 5 out of 5 stars5/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5Calculus For Dummies Rating: 4 out of 5 stars4/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5The Elements of Euclid for the Use of Schools and Colleges (Illustrated) Rating: 0 out of 5 stars0 ratingsThe Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Calculus Made Easy Rating: 4 out of 5 stars4/5Is God a Mathematician? Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsThe Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5GED® Math Test Tutor, 2nd Edition Rating: 0 out of 5 stars0 ratingsLogicomix: An epic search for truth Rating: 4 out of 5 stars4/5Algebra I For Dummies Rating: 4 out of 5 stars4/5
Reviews for Elements of Linear Space
Rating: 0 out of 5 stars
0 ratings
0 ratings0 reviews
Book preview
Elements of Linear Space - A. R. Amir-Moez
Enjoying the preview?
Page 1 of 1