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Isoclinic n-planes in Euclidean 2n-space, Clifford parallels in elliptic (2n-1)-space, and the Hurwitz matrix equations / / by Yung-chow Wong
| Isoclinic n-planes in Euclidean 2n-space, Clifford parallels in elliptic (2n-1)-space, and the Hurwitz matrix equations / / by Yung-chow Wong |
| Autore | Wong Yung-chow |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1961] |
| Descrizione fisica | 1 online resource (121 p.) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Analytic
Functional analysis |
| ISBN | 0-8218-9985-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Part I. Isoclinic n-planes in E[sup(2n)] and Clifford-parallel (n-l)-planes in EL[sup(2n-1)]""; ""1. The n-planes in E[sup(2n)]""; ""2. Condition for two n-planes in E[sup(2n)] to be isoclinico""; ""3. Maximal sets of mutually isoclinic n-planes in E[sup(2n)] and of mutually Clifford-parallel (n-l)-planes in EL[sup(2n-1)] . Existence of such maximal sets""; ""4. An application: n-dimensional C[sup(2)]-surfaces in E[sup(2n)] whose tangent n-planes are mutually isoclinic""; ""5. Some properties of maximal sets""
""6. Numbers of non-congruent maximal sets � proof of Theorem 3.4""""7. Further properties of maximal sets""; ""8. Maximal sets of mutually isoclinic n-planes in E[sup(2n)] as submanifolds of the Grassmann manifold G(n,n) of n-planes in E[sup(2n)]""; ""Part II. The Hurwitz matrix equations""; ""1. Historial remarks""; ""2. Some lemmas on matrices""; ""3. Reduction of the real solutions to quasi-solutions""; ""4. Existence of real solutions � the Hurwitz-Radon theorem""; ""5. Construction and properties of the real solutions""; ""6. Further properties of the real solutions"" ""7. The maximal real solutions""""8. The cases n = 2, 4, 8""; ""References""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""M""; ""O""; ""Q""; ""R""; ""S""; ""U"" |
| Record Nr. | UNINA-9910788610203321 |
Wong Yung-chow
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1961] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Isoclinic n-planes in Euclidean 2n-space, Clifford parallels in elliptic (2n-1)-space, and the Hurwitz matrix equations / / by Yung-chow Wong
| Isoclinic n-planes in Euclidean 2n-space, Clifford parallels in elliptic (2n-1)-space, and the Hurwitz matrix equations / / by Yung-chow Wong |
| Autore | Wong Yung-chow |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1961] |
| Descrizione fisica | 1 online resource (121 p.) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Analytic
Functional analysis |
| ISBN | 0-8218-9985-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Part I. Isoclinic n-planes in E[sup(2n)] and Clifford-parallel (n-l)-planes in EL[sup(2n-1)]""; ""1. The n-planes in E[sup(2n)]""; ""2. Condition for two n-planes in E[sup(2n)] to be isoclinico""; ""3. Maximal sets of mutually isoclinic n-planes in E[sup(2n)] and of mutually Clifford-parallel (n-l)-planes in EL[sup(2n-1)] . Existence of such maximal sets""; ""4. An application: n-dimensional C[sup(2)]-surfaces in E[sup(2n)] whose tangent n-planes are mutually isoclinic""; ""5. Some properties of maximal sets""
""6. Numbers of non-congruent maximal sets � proof of Theorem 3.4""""7. Further properties of maximal sets""; ""8. Maximal sets of mutually isoclinic n-planes in E[sup(2n)] as submanifolds of the Grassmann manifold G(n,n) of n-planes in E[sup(2n)]""; ""Part II. The Hurwitz matrix equations""; ""1. Historial remarks""; ""2. Some lemmas on matrices""; ""3. Reduction of the real solutions to quasi-solutions""; ""4. Existence of real solutions � the Hurwitz-Radon theorem""; ""5. Construction and properties of the real solutions""; ""6. Further properties of the real solutions"" ""7. The maximal real solutions""""8. The cases n = 2, 4, 8""; ""References""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""M""; ""O""; ""Q""; ""R""; ""S""; ""U"" |
| Record Nr. | UNINA-9910827784903321 |
|
Wong Yung-chow
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1961] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lectures in real geometry [[electronic resource] /] / editor Fabrizio Broglia
| Lectures in real geometry [[electronic resource] /] / editor Fabrizio Broglia |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1996 |
| Descrizione fisica | 1 online resource (282 p.) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | BrogliaFabrizio <1948-> |
| Collana | De Gruyter Expositions in Mathematics |
| Soggetto topico |
Geometry, Analytic
Geometry, Algebraic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-081111-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Foreword -- Introduction -- Table of Contents -- Basic algorithms in real algebraic geometry and their complexity: from Sturm's theorem to the existential theory of reals / Roy, Marie-Françoise -- Nash functions and manifolds / Shiota, Masahiro -- Approximation theorems in real analytic and algebraic geometry / Tognoli, A. -- Real abelian varieties and real algebraic curves / Ciliberto, Ciro / Pedrini, Claudio -- Mario Raimondo's contributions to real geometry / Tognoli, Alberto -- Mario Raimondo's contributions to computer algebra / Recio, Tomas / Alonso, Maria-Emilia |
| Record Nr. | UNINA-9910462480303321 |
| Berlin ; ; New York, : Walter de Gruyter, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lectures in real geometry [[electronic resource] /] / editor Fabrizio Broglia
| Lectures in real geometry [[electronic resource] /] / editor Fabrizio Broglia |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1996 |
| Descrizione fisica | 1 online resource (282 p.) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | BrogliaFabrizio <1948-> |
| Collana | De Gruyter Expositions in Mathematics |
| Soggetto topico |
Geometry, Analytic
Geometry, Algebraic |
| ISBN | 3-11-081111-1 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Foreword -- Introduction -- Table of Contents -- Basic algorithms in real algebraic geometry and their complexity: from Sturm's theorem to the existential theory of reals / Roy, Marie-Françoise -- Nash functions and manifolds / Shiota, Masahiro -- Approximation theorems in real analytic and algebraic geometry / Tognoli, A. -- Real abelian varieties and real algebraic curves / Ciliberto, Ciro / Pedrini, Claudio -- Mario Raimondo's contributions to real geometry / Tognoli, Alberto -- Mario Raimondo's contributions to computer algebra / Recio, Tomas / Alonso, Maria-Emilia |
| Record Nr. | UNINA-9910785522603321 |
| Berlin ; ; New York, : Walter de Gruyter, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lectures in real geometry [[electronic resource] /] / editor Fabrizio Broglia
| Lectures in real geometry [[electronic resource] /] / editor Fabrizio Broglia |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1996 |
| Descrizione fisica | 1 online resource (282 p.) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | BrogliaFabrizio <1948-> |
| Collana | De Gruyter Expositions in Mathematics |
| Soggetto topico |
Geometry, Analytic
Geometry, Algebraic |
| ISBN | 3-11-081111-1 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Foreword -- Introduction -- Table of Contents -- Basic algorithms in real algebraic geometry and their complexity: from Sturm's theorem to the existential theory of reals / Roy, Marie-Françoise -- Nash functions and manifolds / Shiota, Masahiro -- Approximation theorems in real analytic and algebraic geometry / Tognoli, A. -- Real abelian varieties and real algebraic curves / Ciliberto, Ciro / Pedrini, Claudio -- Mario Raimondo's contributions to real geometry / Tognoli, Alberto -- Mario Raimondo's contributions to computer algebra / Recio, Tomas / Alonso, Maria-Emilia |
| Record Nr. | UNINA-9910816185503321 |
| Berlin ; ; New York, : Walter de Gruyter, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lezioni di geometria analitica : geometria analitica del piano e dello spazio, i concetti fondamentali della geometria proiettiva, curve e superfici di secondo ordine / Guido Castelnuovo
| Lezioni di geometria analitica : geometria analitica del piano e dello spazio, i concetti fondamentali della geometria proiettiva, curve e superfici di secondo ordine / Guido Castelnuovo |
| Autore | Castelnuovo, Guido |
| Edizione | [13. ed.] |
| Pubbl/distr/stampa | Milano : Dante Alighieri, 1961 |
| Descrizione fisica | 605 p., [1] carta di tav. : ill.; 24 cm |
| Disciplina | 516 |
| Soggetto topico |
Geometry, Analytic
Geometry - Textbooks |
| Classificazione |
AMS 51-01
AMS 51-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991004297635607536 |
|
Castelnuovo, Guido
|
||
| Milano : Dante Alighieri, 1961 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Lezioni di geometria analitica e proiettiva alla R. Scuola di Ingegneria di Milano/ Oscar Chisini
| Lezioni di geometria analitica e proiettiva alla R. Scuola di Ingegneria di Milano/ Oscar Chisini |
| Autore | Chisini, Oscar |
| Pubbl/distr/stampa | Bologna : Zanichelli, 1945 |
| Descrizione fisica | vi, 489 p. ; 25 cm |
| Disciplina | 516 |
| Soggetto topico |
Geometry
Geometry, Analytic Geometry, Projective |
| Classificazione |
AMS 51-01
AMS 51-XX LC QA551 LC QA554 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991004284338107536 |
|
Chisini, Oscar
|
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| Bologna : Zanichelli, 1945 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Lezioni di geometria differenziale / di Luigi Bianchi
| Lezioni di geometria differenziale / di Luigi Bianchi |
| Autore | Bianchi, Luigi |
| Pubbl/distr/stampa | Pisa : Enrico Spoerri, libraio-editore, 1894 |
| Descrizione fisica | viii, 541, [2] p. : ill. ; 26 cm |
| Disciplina | 516.53 |
| Soggetto topico |
Geometry, Differential
Geometry, Analytic Curves of double curvature Surfaces |
| Classificazione |
AMS 53-XX
AMS 53A AMS 53A04 AMS 53A05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991001974979707536 |
|
Bianchi, Luigi
|
||
| Pisa : Enrico Spoerri, libraio-editore, 1894 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Local analytic geometry [[electronic resource] /] / Shreeram Shankar Abhyankar
| Local analytic geometry [[electronic resource] /] / Shreeram Shankar Abhyankar |
| Autore | Abhyankar Shreeram Shankar |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (504 p.) |
| Disciplina | 516.3 |
| Collana | Pure and applied mathematics; a series of monographs and textbooks |
| Soggetto topico |
Geometry, Analytic
Geometry, Algebraic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-95185-4
9786611951856 981-281-034-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
PREFACE; INSTRUCTIONS TO THE READER; Contents; CHAPTER I Elementary Theory in Cn; 1. Notation and Terminology; 2. Convergent Power Series; 3. Laurent Series; 4. Cauchy Theory; 5. Convexity in Rn1; 6. Laurent Expansion in Cn; 7. Domains of Holomorphy; 8. A Theorem of Rado; 9. Comments on Totally Disconnected Fields; CHAPTER II Weierstrass Preparation Theorem; 10. Weierstrass Preparation Theorem. Identity Theorem. Finite Ideal Bases and Unique Factorization in Power Series Rings. Implicit Function Theorem; 11. Continuity of Roots and Open Map Theorem
12. Hensel's Lemma. Continuity of Algebroid Functions13. Complex Weierstrass Preparation Theorem; 14. Riemann Extension Theorem and Connectivity of Algebroid Hypersurfaces; 15. Oka Coherence; 16. Cartan Module Bases; CHAPTER III Review from Local Algebra; 17. Depth Height and Dimension. Completions. Direct Sums. Resultants and Discriminants; 18. Quotient Rings; 19. Integral Dependence and Finite Generation; 20. Henselian Rings; 21. Order and Rank in Local Rings. Regular Local Rings; 22. Another Proof that a Formal Power Series Rings is Noetherian; CHAPTER IV Parameters in Power Series Rings 23. Parameters for Ideals24. Perfect Fields; 25. Regularity of Quotient Rings; 26. Translates of Ideals; 27. Dimension of an Intersection; 28. Algebraic Lemmas on Algebroid Functions; CHAPTER V Analytic Sets; 29. The Language of Germs; 30. Decomposition of an Analytic Set Germ; 31. Ruckert-Weierstrass Parametrization of an Irreducible Analytic Set Germ; 32. Ruckert-Weierstrass Parametrization of an Irreducible Analytic Set Germ (Summary); 33. Local Properties of Analytic Sets; 34. Connectivity Properties of Complex Analytic Sets; 35. Parametrization of a Pure Dimensional Analytic Set 36. Normal Points of Complex Analytic Sets. Remarks on Algebraic Varieties37. Remmert-Stein-Thullen Theorem on Essential Singularities of Complex Analytic Sets. Theorem of Chow; 38. Topological Dimension; 39. Remarks on the Fundamental Group; CHAPTER VI Language of Sheaves; 40. Inductive Systems and Presheaves; 41. Sheaves; 42. Coherent Sheaves; CHAPTER VII Analytic Spaces; 43. Definitions; 44. Recapitulation of Properties of Analytic Spaces; 45. Invariance of Order and Rank; 46. Bimeromorphic Maps and Normalizations; BIBLIOGRAPHY; INDEX OF NOTATION; SUBJECT INDEX |
| Record Nr. | UNINA-9910454397003321 |
|
Abhyankar Shreeram Shankar
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Local analytic geometry [[electronic resource] /] / Shreeram Shankar Abhyankar
| Local analytic geometry [[electronic resource] /] / Shreeram Shankar Abhyankar |
| Autore | Abhyankar Shreeram Shankar |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (504 p.) |
| Disciplina | 516.3 |
| Collana | Pure and applied mathematics; a series of monographs and textbooks |
| Soggetto topico |
Geometry, Analytic
Geometry, Algebraic |
| ISBN |
1-281-95185-4
9786611951856 981-281-034-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
PREFACE; INSTRUCTIONS TO THE READER; Contents; CHAPTER I Elementary Theory in Cn; 1. Notation and Terminology; 2. Convergent Power Series; 3. Laurent Series; 4. Cauchy Theory; 5. Convexity in Rn1; 6. Laurent Expansion in Cn; 7. Domains of Holomorphy; 8. A Theorem of Rado; 9. Comments on Totally Disconnected Fields; CHAPTER II Weierstrass Preparation Theorem; 10. Weierstrass Preparation Theorem. Identity Theorem. Finite Ideal Bases and Unique Factorization in Power Series Rings. Implicit Function Theorem; 11. Continuity of Roots and Open Map Theorem
12. Hensel's Lemma. Continuity of Algebroid Functions13. Complex Weierstrass Preparation Theorem; 14. Riemann Extension Theorem and Connectivity of Algebroid Hypersurfaces; 15. Oka Coherence; 16. Cartan Module Bases; CHAPTER III Review from Local Algebra; 17. Depth Height and Dimension. Completions. Direct Sums. Resultants and Discriminants; 18. Quotient Rings; 19. Integral Dependence and Finite Generation; 20. Henselian Rings; 21. Order and Rank in Local Rings. Regular Local Rings; 22. Another Proof that a Formal Power Series Rings is Noetherian; CHAPTER IV Parameters in Power Series Rings 23. Parameters for Ideals24. Perfect Fields; 25. Regularity of Quotient Rings; 26. Translates of Ideals; 27. Dimension of an Intersection; 28. Algebraic Lemmas on Algebroid Functions; CHAPTER V Analytic Sets; 29. The Language of Germs; 30. Decomposition of an Analytic Set Germ; 31. Ruckert-Weierstrass Parametrization of an Irreducible Analytic Set Germ; 32. Ruckert-Weierstrass Parametrization of an Irreducible Analytic Set Germ (Summary); 33. Local Properties of Analytic Sets; 34. Connectivity Properties of Complex Analytic Sets; 35. Parametrization of a Pure Dimensional Analytic Set 36. Normal Points of Complex Analytic Sets. Remarks on Algebraic Varieties37. Remmert-Stein-Thullen Theorem on Essential Singularities of Complex Analytic Sets. Theorem of Chow; 38. Topological Dimension; 39. Remarks on the Fundamental Group; CHAPTER VI Language of Sheaves; 40. Inductive Systems and Presheaves; 41. Sheaves; 42. Coherent Sheaves; CHAPTER VII Analytic Spaces; 43. Definitions; 44. Recapitulation of Properties of Analytic Spaces; 45. Invariance of Order and Rank; 46. Bimeromorphic Maps and Normalizations; BIBLIOGRAPHY; INDEX OF NOTATION; SUBJECT INDEX |
| Record Nr. | UNINA-9910782390103321 |
|
Abhyankar Shreeram Shankar
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Geometry, Analytic
(47)
- Geometry, Algebraic (10)
- Functional analysis (6)
- Calculus (4)
- Geometry, Projective (4)