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Linear Algebra [[electronic resource] /] / by M. Thamban Nair, Arindama Singh
Linear Algebra [[electronic resource] /] / by M. Thamban Nair, Arindama Singh
Autore Nair M. Thamban
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (XI, 341 p. 2 illus.)
Disciplina 551.48
Soggetto topico Algebras, Linear
Matrix theory
Algebra
Mathematics—Study and teaching 
Linear Algebra
Linear and Multilinear Algebras, Matrix Theory
Mathematics Education
ISBN 981-13-0926-4
978-981-13-0926-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 1. Vector Spaces -- Chapter 2. Linear Transformations -- Chapter 3. Elementary Operations -- Chapter 4. Inner Product Spaces -- Chapter 5. Eigenvalues and Eigenvectors -- Chapter 6. Block Diagonal Representation -- Chapter 7. Spectral Decomposition.
Record Nr. UNINA-9910300119703321
Nair M. Thamban  
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Linear Algebra [[electronic resource] /] / by Belkacem Said-Houari
Linear Algebra [[electronic resource] /] / by Belkacem Said-Houari
Autore Said-Houari Belkacem
Edizione [1st ed. 2017.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017
Descrizione fisica 1 online resource (XIII, 384 p. 26 illus. in color.)
Disciplina 512.5
Collana Compact Textbooks in Mathematics
Soggetto topico Matrix theory
Algebra
Linear and Multilinear Algebras, Matrix Theory
ISBN 3-319-63793-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Matrices and matrix operations -- Determinants -- General vector spaces -- Linear transformations -- Linear transformations and matrices -- Eigenvalues and eigenvectors -- Orthogonal matrices and quadratic forms.
Record Nr. UNINA-9910254284903321
Said-Houari Belkacem  
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Linear Algebra [[electronic resource] /] / by Larry Smith
Linear Algebra [[electronic resource] /] / by Larry Smith
Autore Smith Larry
Edizione [3rd ed. 1998.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1998
Descrizione fisica 1 online resource (XII, 454 p.)
Disciplina 512.5
Collana Undergraduate Texts in Mathematics
Soggetto topico Matrix theory
Algebra
Linear and Multilinear Algebras, Matrix Theory
ISBN 1-4612-1670-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Vectors in the Plane and in Space -- 1.1 First Steps -- 1.2 Exercises -- 2. Vector Spaces -- 2.1 Axioms for Vector Spaces -- 2.2 Cartesian (or Euclidean) Spaces -- 2.3 Some Rules for Vector Algebra -- 2.4 Exercises -- 3. Examples of Vector Spaces -- 3.1 Three Basic Examples -- 3.2 Further Examples of Vector Spaces -- 3.3 Exercises -- 4. Subspaces -- 4.1 Basic Properties of Vector Subspaces -- 4.2 Examples of Subspaces -- 4.3 Exercises -- 5. Linear Independence and Dependence -- 5.1 Basic Definitions and Examples -- 5.2 Properties of Independent and Dependent Sets -- 5.3 Exercises -- 6. Finite-Dimensional Vector Spaces and Bases -- 6.1 Finite-Dimensional Vector Spaces -- 6.2 Properties of Bases -- 6.3 Using Bases -- 6.4 Exercises -- 7. The Elements of Vector Spaces: A Summing Up -- 7.1 Numerical Examples -- 7.2 Exercises -- 8. Linear Transformations -- 8.1 Definition of Linear Transformations -- 8.2 Examples of Linear Transformations -- 8.3 Properties of Linear Transformations -- 8.4 Images and Kernels of Linear Transformations -- 8.5 Some Fundamental Constructions -- 8.6 Isomorphism of Vector Spaces -- 8.7 Exercises -- 9. Linear Transformations: Examples and Applications -- 9.1 Numerical Examples -- 9.2 Some Applications -- 9.3 Exercises -- 10. Linear Transformations and Matrices -- 10.1 Linear Transformations and Matrices in IR3 -- 10.2 Some Numerical Examples -- 10.3 Matrices and Their Algebra -- 10.4 Special Types of Matrices -- 10.5 Exercises -- 11. Representing Linear Transformations by Matrices -- 11.1 Representing a Linear Transformation by a Matrix -- 11.2 Basic Theorems -- 11.3 Change of Bases -- 11.4 Exercises -- 12. More on Representing Linear Transformations by Matrices -- 12.1 Projections -- 12.2 Nilpotent Transformations -- 12.3 Cyclic Transformations -- 12.4 Exercises -- 13. Systems of Linear Equations -- 13.1 Existence Theorems -- 13.2 Reduction to Echelon Form -- 13.3 The Simplex Method -- 13.4 Exercises -- 14. The Elements of Eigenvalue and Eigenvector Theory -- 14.1 The Rank of an Endomorphism -- 14.2 Eigenvalues and Eigenvectors -- 14.3 Determinants -- 14.4 The Characteristic Polynomial -- 14.5 Diagonalization Theorems -- 14.6 Exercises -- 15. Inner Product Spaces -- 15.1 Scalar Products -- 15.2 Inner Product Spaces -- 15.3 Isometries -- 15.4 The Riesz Representation Theorem -- 15.5 Legendre Polynomials -- 15.6 Exercises -- 16. The Spectral Theorem and Quadratic Forms -- 16.1 Self-Adjoint Transformations -- 16.2 The Spectral Theorem -- 16.3 The Principal Axis Theorem for Quadratic Forms -- 16.4 A Proof of the Spectral Theorem in the General Case -- 16.5 Exercises -- 17. Jordan Canonical Form -- 17.1 Invariant Subspaces -- 17.2 Nilpotent Transformations -- 17.3 The Jordan Normal Form -- 17.4 Square Roots -- 17.5 The Hamilton-Cayley Theorem -- 17.6 Inverses -- 17.7 Exercises -- 18. Application to Differential Equations -- 18.1 Linear Differential Systems: Basic Definitions -- 18.2 Diagonalizable Systems -- 18.3 Application of Jordan Form -- 18.4 Exercises -- 19. The Similarity Problem -- 19.1 The Fundamental Problem of Linear Algebra -- 19.2 A Bit of Invariant Theory -- 19.3 Exercises -- A. Multilinear Algebra and Determinants -- A.1 Multilinear Forms -- A.2 Determinants -- A.3 Exercises -- B. Complex Numbers -- B.1 The Complex Numbers -- B.2 Exercises -- Font Usage -- Notations.
Record Nr. UNINA-9910480418803321
Smith Larry  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1998
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Linear Algebra [[electronic resource] /] / by Larry Smith
Linear Algebra [[electronic resource] /] / by Larry Smith
Autore Smith Larry
Edizione [3rd ed. 1998.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1998
Descrizione fisica 1 online resource (XII, 454 p.)
Disciplina 512.5
Collana Undergraduate Texts in Mathematics
Soggetto topico Matrix theory
Algebra
Linear and Multilinear Algebras, Matrix Theory
ISBN 1-4612-1670-2
Classificazione 15-01
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Vectors in the Plane and in Space -- 1.1 First Steps -- 1.2 Exercises -- 2. Vector Spaces -- 2.1 Axioms for Vector Spaces -- 2.2 Cartesian (or Euclidean) Spaces -- 2.3 Some Rules for Vector Algebra -- 2.4 Exercises -- 3. Examples of Vector Spaces -- 3.1 Three Basic Examples -- 3.2 Further Examples of Vector Spaces -- 3.3 Exercises -- 4. Subspaces -- 4.1 Basic Properties of Vector Subspaces -- 4.2 Examples of Subspaces -- 4.3 Exercises -- 5. Linear Independence and Dependence -- 5.1 Basic Definitions and Examples -- 5.2 Properties of Independent and Dependent Sets -- 5.3 Exercises -- 6. Finite-Dimensional Vector Spaces and Bases -- 6.1 Finite-Dimensional Vector Spaces -- 6.2 Properties of Bases -- 6.3 Using Bases -- 6.4 Exercises -- 7. The Elements of Vector Spaces: A Summing Up -- 7.1 Numerical Examples -- 7.2 Exercises -- 8. Linear Transformations -- 8.1 Definition of Linear Transformations -- 8.2 Examples of Linear Transformations -- 8.3 Properties of Linear Transformations -- 8.4 Images and Kernels of Linear Transformations -- 8.5 Some Fundamental Constructions -- 8.6 Isomorphism of Vector Spaces -- 8.7 Exercises -- 9. Linear Transformations: Examples and Applications -- 9.1 Numerical Examples -- 9.2 Some Applications -- 9.3 Exercises -- 10. Linear Transformations and Matrices -- 10.1 Linear Transformations and Matrices in IR3 -- 10.2 Some Numerical Examples -- 10.3 Matrices and Their Algebra -- 10.4 Special Types of Matrices -- 10.5 Exercises -- 11. Representing Linear Transformations by Matrices -- 11.1 Representing a Linear Transformation by a Matrix -- 11.2 Basic Theorems -- 11.3 Change of Bases -- 11.4 Exercises -- 12. More on Representing Linear Transformations by Matrices -- 12.1 Projections -- 12.2 Nilpotent Transformations -- 12.3 Cyclic Transformations -- 12.4 Exercises -- 13. Systems of Linear Equations -- 13.1 Existence Theorems -- 13.2 Reduction to Echelon Form -- 13.3 The Simplex Method -- 13.4 Exercises -- 14. The Elements of Eigenvalue and Eigenvector Theory -- 14.1 The Rank of an Endomorphism -- 14.2 Eigenvalues and Eigenvectors -- 14.3 Determinants -- 14.4 The Characteristic Polynomial -- 14.5 Diagonalization Theorems -- 14.6 Exercises -- 15. Inner Product Spaces -- 15.1 Scalar Products -- 15.2 Inner Product Spaces -- 15.3 Isometries -- 15.4 The Riesz Representation Theorem -- 15.5 Legendre Polynomials -- 15.6 Exercises -- 16. The Spectral Theorem and Quadratic Forms -- 16.1 Self-Adjoint Transformations -- 16.2 The Spectral Theorem -- 16.3 The Principal Axis Theorem for Quadratic Forms -- 16.4 A Proof of the Spectral Theorem in the General Case -- 16.5 Exercises -- 17. Jordan Canonical Form -- 17.1 Invariant Subspaces -- 17.2 Nilpotent Transformations -- 17.3 The Jordan Normal Form -- 17.4 Square Roots -- 17.5 The Hamilton-Cayley Theorem -- 17.6 Inverses -- 17.7 Exercises -- 18. Application to Differential Equations -- 18.1 Linear Differential Systems: Basic Definitions -- 18.2 Diagonalizable Systems -- 18.3 Application of Jordan Form -- 18.4 Exercises -- 19. The Similarity Problem -- 19.1 The Fundamental Problem of Linear Algebra -- 19.2 A Bit of Invariant Theory -- 19.3 Exercises -- A. Multilinear Algebra and Determinants -- A.1 Multilinear Forms -- A.2 Determinants -- A.3 Exercises -- B. Complex Numbers -- B.1 The Complex Numbers -- B.2 Exercises -- Font Usage -- Notations.
Record Nr. UNINA-9910789226603321
Smith Larry  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1998
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Linear Algebra [[electronic resource] /] / by Larry Smith
Linear Algebra [[electronic resource] /] / by Larry Smith
Autore Smith Larry
Edizione [3rd ed. 1998.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1998
Descrizione fisica 1 online resource (XII, 454 p.)
Disciplina 512.5
Collana Undergraduate Texts in Mathematics
Soggetto topico Matrix theory
Algebra
Linear and Multilinear Algebras, Matrix Theory
ISBN 1-4612-1670-2
Classificazione 15-01
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Vectors in the Plane and in Space -- 1.1 First Steps -- 1.2 Exercises -- 2. Vector Spaces -- 2.1 Axioms for Vector Spaces -- 2.2 Cartesian (or Euclidean) Spaces -- 2.3 Some Rules for Vector Algebra -- 2.4 Exercises -- 3. Examples of Vector Spaces -- 3.1 Three Basic Examples -- 3.2 Further Examples of Vector Spaces -- 3.3 Exercises -- 4. Subspaces -- 4.1 Basic Properties of Vector Subspaces -- 4.2 Examples of Subspaces -- 4.3 Exercises -- 5. Linear Independence and Dependence -- 5.1 Basic Definitions and Examples -- 5.2 Properties of Independent and Dependent Sets -- 5.3 Exercises -- 6. Finite-Dimensional Vector Spaces and Bases -- 6.1 Finite-Dimensional Vector Spaces -- 6.2 Properties of Bases -- 6.3 Using Bases -- 6.4 Exercises -- 7. The Elements of Vector Spaces: A Summing Up -- 7.1 Numerical Examples -- 7.2 Exercises -- 8. Linear Transformations -- 8.1 Definition of Linear Transformations -- 8.2 Examples of Linear Transformations -- 8.3 Properties of Linear Transformations -- 8.4 Images and Kernels of Linear Transformations -- 8.5 Some Fundamental Constructions -- 8.6 Isomorphism of Vector Spaces -- 8.7 Exercises -- 9. Linear Transformations: Examples and Applications -- 9.1 Numerical Examples -- 9.2 Some Applications -- 9.3 Exercises -- 10. Linear Transformations and Matrices -- 10.1 Linear Transformations and Matrices in IR3 -- 10.2 Some Numerical Examples -- 10.3 Matrices and Their Algebra -- 10.4 Special Types of Matrices -- 10.5 Exercises -- 11. Representing Linear Transformations by Matrices -- 11.1 Representing a Linear Transformation by a Matrix -- 11.2 Basic Theorems -- 11.3 Change of Bases -- 11.4 Exercises -- 12. More on Representing Linear Transformations by Matrices -- 12.1 Projections -- 12.2 Nilpotent Transformations -- 12.3 Cyclic Transformations -- 12.4 Exercises -- 13. Systems of Linear Equations -- 13.1 Existence Theorems -- 13.2 Reduction to Echelon Form -- 13.3 The Simplex Method -- 13.4 Exercises -- 14. The Elements of Eigenvalue and Eigenvector Theory -- 14.1 The Rank of an Endomorphism -- 14.2 Eigenvalues and Eigenvectors -- 14.3 Determinants -- 14.4 The Characteristic Polynomial -- 14.5 Diagonalization Theorems -- 14.6 Exercises -- 15. Inner Product Spaces -- 15.1 Scalar Products -- 15.2 Inner Product Spaces -- 15.3 Isometries -- 15.4 The Riesz Representation Theorem -- 15.5 Legendre Polynomials -- 15.6 Exercises -- 16. The Spectral Theorem and Quadratic Forms -- 16.1 Self-Adjoint Transformations -- 16.2 The Spectral Theorem -- 16.3 The Principal Axis Theorem for Quadratic Forms -- 16.4 A Proof of the Spectral Theorem in the General Case -- 16.5 Exercises -- 17. Jordan Canonical Form -- 17.1 Invariant Subspaces -- 17.2 Nilpotent Transformations -- 17.3 The Jordan Normal Form -- 17.4 Square Roots -- 17.5 The Hamilton-Cayley Theorem -- 17.6 Inverses -- 17.7 Exercises -- 18. Application to Differential Equations -- 18.1 Linear Differential Systems: Basic Definitions -- 18.2 Diagonalizable Systems -- 18.3 Application of Jordan Form -- 18.4 Exercises -- 19. The Similarity Problem -- 19.1 The Fundamental Problem of Linear Algebra -- 19.2 A Bit of Invariant Theory -- 19.3 Exercises -- A. Multilinear Algebra and Determinants -- A.1 Multilinear Forms -- A.2 Determinants -- A.3 Exercises -- B. Complex Numbers -- B.1 The Complex Numbers -- B.2 Exercises -- Font Usage -- Notations.
Record Nr. UNINA-9910818805503321
Smith Larry  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1998
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Linear Algebra [[electronic resource] ] : An Introduction to Abstract Mathematics / / by Robert J. Valenza
Linear Algebra [[electronic resource] ] : An Introduction to Abstract Mathematics / / by Robert J. Valenza
Autore Valenza Robert J
Edizione [1st ed. 1993.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Descrizione fisica 1 online resource (XVIII, 237 p.)
Disciplina 512
Collana Undergraduate Texts in Mathematics
Soggetto topico Algebra
Matrix theory
Linear and Multilinear Algebras, Matrix Theory
ISBN 1-4612-0901-3
Classificazione 15-01
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Sets and Functions -- 1.1 Notation and Terminology -- 1.2 Composition of Functions -- 1.3 Inverse Functions -- 1.4 Digression on Cardinality -- 1.5 Permutations -- Exercises -- 2 Groups and Group Homomorphisms -- 2.1 Groups and Subgroups -- 2.2 Group Homomorphisms -- 2.3 Rings and Fields -- Exercises -- 3 Vector Spaces and Linear Transformations -- 3.1 Vector Spaces and Subspaces -- 3.2 Linear Transformations -- 3.3 Direct Products and Internal Direct Sums -- Exercises -- 4 Dimension -- 4.1 Bases and Dimension -- 4.2 Vector Spaces Are Free -- 4.3 Rank and Nullity -- Exercises -- 5 Matrices -- 5.1 Notation and Terminology -- 5.2 Introduction to Linear Systems -- 5.3 Solution Techniques -- 5.4 Multiple Systems and Matrix Inversion -- Exercises -- 6 Representation of Linear Transformations -- 6.1 The Space of Linear Transformations -- 6.2 The Representation of Hom(kn,km) -- 6.3 The Representation of Hom(V,V’) -- 6.4 The Dual Space -- 6.5 Change of Basis -- Exercises -- 7 Inner Product Spaces -- 7.1 Real Inner Product Spaces -- 7.2 Orthogonal Bases and Orthogonal Projection -- 7.3 Complex Inner Product Spaces -- Exercises -- 8 Determinants -- 8.1 Existence and Basic Properties -- 8.2 A Nonrecursive Formula; Uniqueness -- 8.3 The Determinant of a Product; Invertibility -- Exercises -- 9 Eigenvalues and Eigenvectors -- 9.1 Definitions and Elementary Properties -- 9.2 Hermitian and Unitary Transformations -- 9.3 Spectral Decomposition -- Exercises -- 10 Triangulation and Decomposition of Endomorphisms -- 10.1 The Cayley-Hamilton Theorem -- 10.2 Triangulation of Endomorphisms -- 10.3 Decomposition by Characteristic Subspaces -- 10.4 Nilpotent Mappings and the Jordan Normal Form -- Exercises -- Supplementary Topics -- 1 Differentiation -- 2 The Determinant Revisited -- 3 Quadratic Forms -- 4 An Introduction to Categories and Functors.
Record Nr. UNINA-9910480324103321
Valenza Robert J  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Linear Algebra [[electronic resource] ] : An Introduction to Abstract Mathematics / / by Robert J. Valenza
Linear Algebra [[electronic resource] ] : An Introduction to Abstract Mathematics / / by Robert J. Valenza
Autore Valenza Robert J
Edizione [1st ed. 1993.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Descrizione fisica 1 online resource (XVIII, 237 p.)
Disciplina 512
Collana Undergraduate Texts in Mathematics
Soggetto topico Algebra
Matrix theory
Linear and Multilinear Algebras, Matrix Theory
ISBN 1-4612-0901-3
Classificazione 15-01
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Sets and Functions -- 1.1 Notation and Terminology -- 1.2 Composition of Functions -- 1.3 Inverse Functions -- 1.4 Digression on Cardinality -- 1.5 Permutations -- Exercises -- 2 Groups and Group Homomorphisms -- 2.1 Groups and Subgroups -- 2.2 Group Homomorphisms -- 2.3 Rings and Fields -- Exercises -- 3 Vector Spaces and Linear Transformations -- 3.1 Vector Spaces and Subspaces -- 3.2 Linear Transformations -- 3.3 Direct Products and Internal Direct Sums -- Exercises -- 4 Dimension -- 4.1 Bases and Dimension -- 4.2 Vector Spaces Are Free -- 4.3 Rank and Nullity -- Exercises -- 5 Matrices -- 5.1 Notation and Terminology -- 5.2 Introduction to Linear Systems -- 5.3 Solution Techniques -- 5.4 Multiple Systems and Matrix Inversion -- Exercises -- 6 Representation of Linear Transformations -- 6.1 The Space of Linear Transformations -- 6.2 The Representation of Hom(kn,km) -- 6.3 The Representation of Hom(V,V’) -- 6.4 The Dual Space -- 6.5 Change of Basis -- Exercises -- 7 Inner Product Spaces -- 7.1 Real Inner Product Spaces -- 7.2 Orthogonal Bases and Orthogonal Projection -- 7.3 Complex Inner Product Spaces -- Exercises -- 8 Determinants -- 8.1 Existence and Basic Properties -- 8.2 A Nonrecursive Formula; Uniqueness -- 8.3 The Determinant of a Product; Invertibility -- Exercises -- 9 Eigenvalues and Eigenvectors -- 9.1 Definitions and Elementary Properties -- 9.2 Hermitian and Unitary Transformations -- 9.3 Spectral Decomposition -- Exercises -- 10 Triangulation and Decomposition of Endomorphisms -- 10.1 The Cayley-Hamilton Theorem -- 10.2 Triangulation of Endomorphisms -- 10.3 Decomposition by Characteristic Subspaces -- 10.4 Nilpotent Mappings and the Jordan Normal Form -- Exercises -- Supplementary Topics -- 1 Differentiation -- 2 The Determinant Revisited -- 3 Quadratic Forms -- 4 An Introduction to Categories and Functors.
Record Nr. UNINA-9910789344503321
Valenza Robert J  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Linear Algebra [[electronic resource] ] : An Introduction to Abstract Mathematics / / by Robert J. Valenza
Linear Algebra [[electronic resource] ] : An Introduction to Abstract Mathematics / / by Robert J. Valenza
Autore Valenza Robert J
Edizione [1st ed. 1993.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Descrizione fisica 1 online resource (XVIII, 237 p.)
Disciplina 512
Collana Undergraduate Texts in Mathematics
Soggetto topico Algebra
Matrix theory
Linear and Multilinear Algebras, Matrix Theory
ISBN 1-4612-0901-3
Classificazione 15-01
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Sets and Functions -- 1.1 Notation and Terminology -- 1.2 Composition of Functions -- 1.3 Inverse Functions -- 1.4 Digression on Cardinality -- 1.5 Permutations -- Exercises -- 2 Groups and Group Homomorphisms -- 2.1 Groups and Subgroups -- 2.2 Group Homomorphisms -- 2.3 Rings and Fields -- Exercises -- 3 Vector Spaces and Linear Transformations -- 3.1 Vector Spaces and Subspaces -- 3.2 Linear Transformations -- 3.3 Direct Products and Internal Direct Sums -- Exercises -- 4 Dimension -- 4.1 Bases and Dimension -- 4.2 Vector Spaces Are Free -- 4.3 Rank and Nullity -- Exercises -- 5 Matrices -- 5.1 Notation and Terminology -- 5.2 Introduction to Linear Systems -- 5.3 Solution Techniques -- 5.4 Multiple Systems and Matrix Inversion -- Exercises -- 6 Representation of Linear Transformations -- 6.1 The Space of Linear Transformations -- 6.2 The Representation of Hom(kn,km) -- 6.3 The Representation of Hom(V,V’) -- 6.4 The Dual Space -- 6.5 Change of Basis -- Exercises -- 7 Inner Product Spaces -- 7.1 Real Inner Product Spaces -- 7.2 Orthogonal Bases and Orthogonal Projection -- 7.3 Complex Inner Product Spaces -- Exercises -- 8 Determinants -- 8.1 Existence and Basic Properties -- 8.2 A Nonrecursive Formula; Uniqueness -- 8.3 The Determinant of a Product; Invertibility -- Exercises -- 9 Eigenvalues and Eigenvectors -- 9.1 Definitions and Elementary Properties -- 9.2 Hermitian and Unitary Transformations -- 9.3 Spectral Decomposition -- Exercises -- 10 Triangulation and Decomposition of Endomorphisms -- 10.1 The Cayley-Hamilton Theorem -- 10.2 Triangulation of Endomorphisms -- 10.3 Decomposition by Characteristic Subspaces -- 10.4 Nilpotent Mappings and the Jordan Normal Form -- Exercises -- Supplementary Topics -- 1 Differentiation -- 2 The Determinant Revisited -- 3 Quadratic Forms -- 4 An Introduction to Categories and Functors.
Record Nr. UNINA-9910812419203321
Valenza Robert J  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1993
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Linear Algebra and Analytic Geometry for Physical Sciences [[electronic resource] /] / by Giovanni Landi, Alessandro Zampini
Linear Algebra and Analytic Geometry for Physical Sciences [[electronic resource] /] / by Giovanni Landi, Alessandro Zampini
Autore Landi Giovanni
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (XII, 345 p.)
Disciplina 512.9
Collana Undergraduate Lecture Notes in Physics
Soggetto topico Physics
Matrix theory
Algebra
Applied mathematics
Engineering mathematics
Geometry
Computer science—Mathematics
Mathematical physics
Mathematical Methods in Physics
Linear and Multilinear Algebras, Matrix Theory
Mathematical and Computational Engineering
Math Applications in Computer Science
Mathematical Applications in the Physical Sciences
ISBN 3-319-78361-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Vectors and coordinate systems -- Vector spaces -- Euclidean vector spaces -- Matrices -- The determinant -- Systems of linear equations -- Linear transformations -- Dual spaces -- Endomorphisms and diagonalization -- Spectral theorems on euclidean spaces -- Rotations -- Spectral theorems on hermitian spaces -- Quadratic forms -- Affine linear geometry -- Euclidean affine linear geometry -- Conic sections -- A Algebraic Structures -- A.1 A few notions of Set Theory -- A.2 Groups -- A.3 Rings and Fields -- A.4 Maps between algebraic structures -- A5 Complex numbers -- A.6 Integers modulo a prime number.
Record Nr. UNINA-9910300533203321
Landi Giovanni  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Linear Algebra and Geometry [[electronic resource] /] / by Igor R. Shafarevich, Alexey O. Remizov
Linear Algebra and Geometry [[electronic resource] /] / by Igor R. Shafarevich, Alexey O. Remizov
Autore Shafarevich Igor R
Edizione [1st ed. 2013.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Descrizione fisica 1 online resource (535 p.)
Disciplina 512.5
Soggetto topico Matrix theory
Algebra
Geometry
Associative rings
Rings (Algebra)
Linear and Multilinear Algebras, Matrix Theory
Associative Rings and Algebras
ISBN 3-642-30994-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Preliminaries -- 1. Linear Equations -- 2. Matrices and Determinants -- 3. Vector Spaces -- 4. Linear Transformations of a Vector Space to Itself -- 5. Jordan Normal Form -- 6. Quadratic and Bilinear Forms -- 7. Euclidean Spaces -- 8. Affine Spaces -- 9. Projective Spaces -- 10. The Exterior Product and Exterior Algebras -- 11. Quadrics -- 12. Hyperbolic Geometry -- 13. Groups, Rings, and Modules -- 14. Elements of Representation Theory -- Historical Note -- References -- Index.
Record Nr. UNINA-9910438160103321
Shafarevich Igor R  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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