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On the teaching of linear algebra [[electronic resource] /] / edited by Jean-Luc Dorier
| On the teaching of linear algebra [[electronic resource] /] / edited by Jean-Luc Dorier |
| Edizione | [1st ed. 2000.] |
| Pubbl/distr/stampa | Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2000 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina | 512/.5 |
| Altri autori (Persone) | DorierJean-Luc |
| Collana | Mathematics education library |
| Soggetto topico | Algebras, Linear - Study and teaching |
| ISBN |
1-280-20772-8
9786610207725 0-306-47224-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Epistemological Analysis of the Genesis of the Theory of Vector Spaces -- Epistemological Analysis of the Genesis of the Theory of Vector Spaces -- Teaching and Learning Issues -- The Obstacle of Formalism in Linear Algebra -- Level of Conceptualization and Secondary School Math Education -- The Teaching Experimented in Lille -- The Meta Lever -- Three Principles of Learning and Teaching Mathematics -- Modes of Description and the Problem of Representation in Linear Algebra -- On Some Aspects of Students’ Thinking in Linear Algebra -- Presentation of Other Research Works. |
| Record Nr. | UNINA-9910825739003321 |
| Dordrecht ; ; Boston, : Kluwer Academic Publishers, c2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quaternions : theory and applications / / Sandra Griffin, editor
| Quaternions : theory and applications / / Sandra Griffin, editor |
| Pubbl/distr/stampa | Hauppauge, New York : , : Nova Science Publishers, Incorporated, , [2017] |
| Descrizione fisica | 1 online resource (296 pages) : color illustrations |
| Disciplina | 512/.5 |
| Collana | Mathematics research developments |
| Soggetto topico |
Quaternions
Numbers, Complex |
| ISBN | 1-5361-0789-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910164042203321 |
| Hauppauge, New York : , : Nova Science Publishers, Incorporated, , [2017] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quaternions, spinors, and surfaces / / George Kamberov [and three others]
| Quaternions, spinors, and surfaces / / George Kamberov [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina | 512/.5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quaternions
Spinor analysis Riemann surfaces |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7889-1
0-8218-1928-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Basic Conventions""; ""Part 1. Conformal Immersions via Quaternions""; ""Chapter 1. Quaternionic Calculus and Immersions""; ""1.1. Functions and Forms""; ""1.2. Conformal and anti-conformal forms""; ""1.3. Basic Geometric Formulae""; ""1.4. Integrability: Codazzi's Equations""; ""1.5. C1-minimal and Shape Class Immersions""; ""1.6. Tensors and Tangential-Valued Forms""; ""1.7. Regular Homotopy and Spin Transforms""; ""1.8. Extrinsic versus Intrinsic Geometry""; ""Chapter 2. Applications""; ""2.1. Isothermic Immersions""; ""2.2. Christoffel's Problem""
""2.3. Bonnet's Problem""""2.4. The Local Weierstrass Representation""; ""Part 2. Surfaces and Dirac Spinors""; ""Chapter 3. Spinor Algebra""; ""3.1. Spinor Bundles: First Steps""; ""3.2. Spinor Bundles: Structures""; ""3.3. From Spinors to Complex Structures""; ""3.4. Spinors, Immersions, Regular Homotopy""; ""3.5. Densities, norms, and the Clifford product""; ""3.6. Interpretation of Spinors""; ""Chapter 4. Dirac Spinors and Conformal Immersions""; ""4.1. The Conformal Dirac Operator""; ""4.2. Connection with the Classical Theory""; ""4.3. Conformal Immersions and Spinors"" ""4.4. Prescribing the Gauss Map of a Minimal Surface""""4.5. Bonnet Immersions""; ""Bibliography""; ""Glossary of Symbols""; ""Index"" |
| Record Nr. | UNINA-9910480941703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quaternions, spinors, and surfaces / / George Kamberov [and three others]
| Quaternions, spinors, and surfaces / / George Kamberov [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina | 512/.5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quaternions
Spinor analysis Riemann surfaces |
| ISBN |
0-8218-7889-1
0-8218-1928-3 |
| Classificazione | 31.30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Basic Conventions""; ""Part 1. Conformal Immersions via Quaternions""; ""Chapter 1. Quaternionic Calculus and Immersions""; ""1.1. Functions and Forms""; ""1.2. Conformal and anti-conformal forms""; ""1.3. Basic Geometric Formulae""; ""1.4. Integrability: Codazzi's Equations""; ""1.5. C1-minimal and Shape Class Immersions""; ""1.6. Tensors and Tangential-Valued Forms""; ""1.7. Regular Homotopy and Spin Transforms""; ""1.8. Extrinsic versus Intrinsic Geometry""; ""Chapter 2. Applications""; ""2.1. Isothermic Immersions""; ""2.2. Christoffel's Problem""
""2.3. Bonnet's Problem""""2.4. The Local Weierstrass Representation""; ""Part 2. Surfaces and Dirac Spinors""; ""Chapter 3. Spinor Algebra""; ""3.1. Spinor Bundles: First Steps""; ""3.2. Spinor Bundles: Structures""; ""3.3. From Spinors to Complex Structures""; ""3.4. Spinors, Immersions, Regular Homotopy""; ""3.5. Densities, norms, and the Clifford product""; ""3.6. Interpretation of Spinors""; ""Chapter 4. Dirac Spinors and Conformal Immersions""; ""4.1. The Conformal Dirac Operator""; ""4.2. Connection with the Classical Theory""; ""4.3. Conformal Immersions and Spinors"" ""4.4. Prescribing the Gauss Map of a Minimal Surface""""4.5. Bonnet Immersions""; ""Bibliography""; ""Glossary of Symbols""; ""Index"" |
| Record Nr. | UNINA-9910788657903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quaternions, spinors, and surfaces / / George Kamberov [and three others]
| Quaternions, spinors, and surfaces / / George Kamberov [and three others] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina | 512/.5 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quaternions
Spinor analysis Riemann surfaces |
| ISBN |
0-8218-7889-1
0-8218-1928-3 |
| Classificazione | 31.30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Basic Conventions""; ""Part 1. Conformal Immersions via Quaternions""; ""Chapter 1. Quaternionic Calculus and Immersions""; ""1.1. Functions and Forms""; ""1.2. Conformal and anti-conformal forms""; ""1.3. Basic Geometric Formulae""; ""1.4. Integrability: Codazzi's Equations""; ""1.5. C1-minimal and Shape Class Immersions""; ""1.6. Tensors and Tangential-Valued Forms""; ""1.7. Regular Homotopy and Spin Transforms""; ""1.8. Extrinsic versus Intrinsic Geometry""; ""Chapter 2. Applications""; ""2.1. Isothermic Immersions""; ""2.2. Christoffel's Problem""
""2.3. Bonnet's Problem""""2.4. The Local Weierstrass Representation""; ""Part 2. Surfaces and Dirac Spinors""; ""Chapter 3. Spinor Algebra""; ""3.1. Spinor Bundles: First Steps""; ""3.2. Spinor Bundles: Structures""; ""3.3. From Spinors to Complex Structures""; ""3.4. Spinors, Immersions, Regular Homotopy""; ""3.5. Densities, norms, and the Clifford product""; ""3.6. Interpretation of Spinors""; ""Chapter 4. Dirac Spinors and Conformal Immersions""; ""4.1. The Conformal Dirac Operator""; ""4.2. Connection with the Classical Theory""; ""4.3. Conformal Immersions and Spinors"" ""4.4. Prescribing the Gauss Map of a Minimal Surface""""4.5. Bonnet Immersions""; ""Bibliography""; ""Glossary of Symbols""; ""Index"" |
| Record Nr. | UNINA-9910811526603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
R-linear endomorphisms of (R)[subscript n] preserving invariants / / Bernard R. McDonald
| R-linear endomorphisms of (R)[subscript n] preserving invariants / / Bernard R. McDonald |
| Autore | McDonald Bernard R. |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina |
510 s
512/.5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Matrix rings
Commutative rings Invariants |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0697-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""CONTENTS""; ""(A) INTRODUCTION""; ""(B) IDEMPOTENTS AND LINEAR MAPS OF (R)[sub(n)]""; ""(C) EQUIVALENCE TRANSFORMATIONS AND INVOLUTIONS""; ""(D) INVERTIBLE SUBMODULES OF (R)[sub(n)] AND EQUIVALENCE TRANSFORMATIONS""; ""(E) RANK ONE ENDOMORPHISMS""; ""(F) THE LOCAL CASE""; ""(G) THE GLOBAL CASE""; ""(H) APPLICATIONS""; ""REFERENCES"" |
| Record Nr. | UNINA-9910480045203321 |
McDonald Bernard R.
|
||
| Providence, R.I., USA : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
R-linear endomorphisms of (R)[subscript n] preserving invariants / / Bernard R. McDonald
| R-linear endomorphisms of (R)[subscript n] preserving invariants / / Bernard R. McDonald |
| Autore | McDonald Bernard R. |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina |
510 s
512/.5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Matrix rings
Commutative rings Invariants R (Computer program language) |
| ISBN | 1-4704-0697-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""CONTENTS""; ""(A) INTRODUCTION""; ""(B) IDEMPOTENTS AND LINEAR MAPS OF (R)[sub(n)]""; ""(C) EQUIVALENCE TRANSFORMATIONS AND INVOLUTIONS""; ""(D) INVERTIBLE SUBMODULES OF (R)[sub(n)] AND EQUIVALENCE TRANSFORMATIONS""; ""(E) RANK ONE ENDOMORPHISMS""; ""(F) THE LOCAL CASE""; ""(G) THE GLOBAL CASE""; ""(H) APPLICATIONS""; ""REFERENCES"" |
| Record Nr. | UNINA-9910788899503321 |
|
McDonald Bernard R.
|
||
| Providence, R.I., USA : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
R-linear endomorphisms of (R)[subscript n] preserving invariants / / Bernard R. McDonald
| R-linear endomorphisms of (R)[subscript n] preserving invariants / / Bernard R. McDonald |
| Autore | McDonald Bernard R. |
| Pubbl/distr/stampa | Providence, R.I., USA : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (73 p.) |
| Disciplina |
510 s
512/.5 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Matrix rings
Commutative rings Invariants R (Computer program language) |
| ISBN | 1-4704-0697-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""CONTENTS""; ""(A) INTRODUCTION""; ""(B) IDEMPOTENTS AND LINEAR MAPS OF (R)[sub(n)]""; ""(C) EQUIVALENCE TRANSFORMATIONS AND INVOLUTIONS""; ""(D) INVERTIBLE SUBMODULES OF (R)[sub(n)] AND EQUIVALENCE TRANSFORMATIONS""; ""(E) RANK ONE ENDOMORPHISMS""; ""(F) THE LOCAL CASE""; ""(G) THE GLOBAL CASE""; ""(H) APPLICATIONS""; ""REFERENCES"" |
| Record Nr. | UNINA-9910828762803321 |
|
McDonald Bernard R.
|
||
| Providence, R.I., USA : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topics in quaternion linear algebra / / Leiba Rodman
| Topics in quaternion linear algebra / / Leiba Rodman |
| Autore | Rodman L. |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 |
| Descrizione fisica | 1 online resource (379 p.) |
| Disciplina | 512/.5 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Algebras, Linear
Quaternions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4008-5274-9 |
| Classificazione | SK 230 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. The algebra of quaternions -- Chapter Three. Vector spaces and matrices: Basic theory -- Chapter Four. Symmetric matrices and congruence -- Chapter Five. Invariant subspaces and Jordan form -- Chapter Six. Invariant neutral and semidefinite subspaces -- Chapter Seven. Smith form and Kronecker canonical form -- Chapter Eight. Pencils of hermitian matrices -- Chapter Nine. Skewhermitian and mixed pencils -- Chapter Ten. Indefinite inner products: Conjugation -- Chapter Eleven. Matrix pencils with symmetries: Nonstandard involution -- Chapter Twelve. Mixed matrix pencils: Nonstandard involutions -- Chapter Thirteen. Indefinite inner products: Nonstandard involution -- Chapter Fourteen. Matrix equations -- Chapter Fifteen. Appendix: Real and complex canonical forms -- Bibliography -- Index |
| Record Nr. | UNINA-9910464848103321 |
|
Rodman L.
|
||
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topics in quaternion linear algebra / / Leiba Rodman
| Topics in quaternion linear algebra / / Leiba Rodman |
| Autore | Rodman L. |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 |
| Descrizione fisica | 1 online resource (379 p.) |
| Disciplina | 512/.5 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Algebras, Linear
Quaternions |
| Soggetto non controllato |
Cholesky factorization
Hamiltonian matrices Jordan canonical form Jordan form Kronecker canonical form Kronecker form Kronecker forms Schur triangularization theorem Smith form Sylvester equation algebraic Riccati equations antiautomorphisms automorphisms bilateral quadratic equations boundedness canonical forms complex hermitian matrices complex matric pencils complex matrices complex matrix polynomials congruence conjugation conventions determinants diagonal form diagonalizability differential equations dissipative matrices eigenvalues eigenvectors equivalence expansive matrices hermitian inner product hermitian matrices hermitian matrix pencils hermitian pencils indefinite inner products inertia theorems invariant Langragian subspaces invariant Langrangian subspaces invariant neutral subspaces invariant semidefinite subspaces invariant subspaces involutions linear quadratic regulators matrix algebra matrix decompositions matrix equations matrix pencils matrix polynomials maximal invariant semidefinite subspaces metric space mixed matrix pencils mixed pencils mixed quaternion matrix pencils neutral subspaces nondegenerate nonstandard involution nonstandard involutions nonuniqueness notations numerical cones numerical ranges pencils polynomial matrix equations quadratic maps quaternion algebra quaternion coefficients quaternion linear algebra quaternion matrices quaternion matrix pencils quaternion subspaces quaternions real linear transformations real matrices real matrix pencils real matrix polynomials real symmetric matrices root subspaces scalar quaternions semidefinite subspaces skew-Hamiltonian matrices skewhermitian inner product skewhermitian matrices skewhermitian pencils skewsymmetric matrices square-size quaternion matrices standard matrices symmetric matrices symmetries symmetry properties unitary matrices vector spaces |
| ISBN | 1-4008-5274-9 |
| Classificazione | SK 230 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. The algebra of quaternions -- Chapter Three. Vector spaces and matrices: Basic theory -- Chapter Four. Symmetric matrices and congruence -- Chapter Five. Invariant subspaces and Jordan form -- Chapter Six. Invariant neutral and semidefinite subspaces -- Chapter Seven. Smith form and Kronecker canonical form -- Chapter Eight. Pencils of hermitian matrices -- Chapter Nine. Skewhermitian and mixed pencils -- Chapter Ten. Indefinite inner products: Conjugation -- Chapter Eleven. Matrix pencils with symmetries: Nonstandard involution -- Chapter Twelve. Mixed matrix pencils: Nonstandard involutions -- Chapter Thirteen. Indefinite inner products: Nonstandard involution -- Chapter Fourteen. Matrix equations -- Chapter Fifteen. Appendix: Real and complex canonical forms -- Bibliography -- Index |
| Record Nr. | UNINA-9910786530203321 |
|
Rodman L.
|
||
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
