Search Results - "algebra"

Fundamentals of Linear Algebra / by Chahal, J.S

Table of Contents: “…Preface -- Advice to the Reader -- 1 Preliminaries -- What is Linear Algebra? -- Rudimentary Set Theory -- Cartesian Products -- Relations -- Concept of a Function -- Composite Functions -- Fields of Scalars -- Techniques for Proving Theorems -- 2 Matrix Algebra -- Matrix Operations -- Geometric Meaning of a Matrix Equation -- Systems of Linear Equation -- Inverse of a Matrix -- The Equation Ax=b -- Basic Applications -- 3 Vector Spaces -- The Concept of a Vector Space -- Subspaces -- The Dimension of a Vector Space -- Linear Independence -- Application of Knowing dim (V) -- Coordinates -- Rank of a Matrix -- 4 LinearMaps -- Linear Maps -- Properties of Linear Maps -- Matrix of a Linear Map -- Matrix Algebra and Algebra of Linear Maps -- Linear Functionals and Duality -- Equivalence and Similarity -- Application to Higher Order Differential Equations -- 5 Determinants -- Motivation -- Properties of Determinants -- Existence and Uniqueness of Determinant -- Computational Definition of Determinant -- Evaluation of Determinants -- Adjoint and Cramer's Rule -- 6 Diagonalization -- Motivation -- Eigenvalues and Eigenvectors -- Cayley-Hamilton Theorem -- 7 Inner Product Spaces -- Inner Product -- Fourier Series -- Orthogonal and Orthonormal Sets -- Gram-Schmidt Process -- Orthogonal Projections on Subspaces -- 8 Linear Algebra over Complex Numbers -- Algebra of Complex Numbers -- Diagonalization of Matrices with Complex Eigenvalues -- Matrices over Complex Numbers -- 9 Orthonormal Diagonalization -- Motivational Introduction -- Matrix Representation of a Quadratic Form -- Spectral Decompostion -- Constrained Optimization-Extrema of Spectrum -- Singular Value Decomposition (SVD) -- 10Selected Applications of Linear Algebra -- System of First Order Linear Differential Equations -- Multivariable Calculus -- Special Theory of Relativity -- Cryptography -- Solving Famous Problems from Greek Geometry -- Answers to Selected Numberical Problems -- Bibliography -- Index.…”
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Gorenstein Homological Algebra / by Iacob, Alina

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Pencils of Cubics and Algebraic Curves in the Real Projective Plane / by Fiedler - Le Touzé, Séverine

Table of Contents: “…Rational pencils of cubics and configurations of six or seven points in RP -- Points, lines and conics in the plane -- Configurations of six points -- Configurations of seven points -- Pencils of cubics with eight base points lying in convex position in RP -- Pencils of cubics -- List of conics -- Link between lists and pencils -- Pencils with reducible cubics -- Classification of the pencils of cubics -- Tabulars -- Application to an interpolation problem -- Algebraic curves -- Hilberts 16th problem -- M-curves of degree 9 -- M-curves of degree 9 with deep nests -- M-curves of degree 9 with four or three nests -- M-curves of degree 9 or 11 with non-empty oval -- Curves of degree 11 with many nests -- Totally real pencils of curves.…”
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Fractional Order Processes : Simulation, Identification, and Control / by Damarla, Seshu Kumar, Kundu, Madhusree

Table of Contents: “…Differential Equations, and Differential-Algebraic Equations --…”
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Core Principles of Special and General Relativity / by Luscombe, James H.

Table of Contents: “…Chapter 1: Relativity: A Theory of Space, Time, and Gravity Chapter 2: Basic Special Relativity Chapter 3: Lorentz Transformation, I Chapter 4: Geometry of Lorentz Invariance Chapter 5: Tensors on Flat Spaces Chapter 6: Lorentz Transformation, II Chapter 7: Particle Dynamics Chapter 8: Covariant Electrodynamics Chapter 9: Energy-Momentum of Fields Chapter 10: Relativistic Hydrodynamics Chapter 11: Equivalence of Local Gravity and Acceleration Chapter 12: Acceleration in Special Relativity Chapter 13: Tensors on Manifolds Chapter 14: Differential Geometry Chapter 15: General Relativity Chapter 16: The Schwarzschild Metric Chapter 17: Physical Effects of Schwarzschild Spacetime Chapter 18: Linearized Gravity Chapter 19: Relativistic Cosmology Appendix A: Invariance of the Wave Equation Appendix B: The Doppler Effect Appendix C: Topics in Linear Algebra Appendix D: Topics in Classical Mechanics Appendix E: Photon and Particle Orbits.…”
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Computational Context : The Value, Theory and Application of Context with AI / by Lawless, William F., Mittu, Ranjeev, Sofge, Donald

Table of Contents: “…Pattipati -- The Shared Story Narrative Principles for Innovative Collaboration -- Beth Cardier -- Algebraic Modeling of the Causal Break and Representation of the Decision Process in Contextual Structures -- Olivier Bartheye and Laurent Chaudron -- A Contextual Decision-Making Framework -- Eugene Santos Jr., Hien Nguyen, Keum Joo Kim, Jacob A. …”
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Neural Networks for Robotics : An Engineering Perspective / by Arana-Daniel, Nancy, Alanis, Alma Y., Lopez-Franco, Carlos

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Design of Experiments for Generalized Linear Models / by Russell, Kenneth G.

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Data Visualization : Charts, Maps, and Interactive Graphics / by Grant, Robert

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