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Analysis in vector spaces [[electronic resource] ] : a course in advanced calculus / / Mustafa A. Akcoglu, Paul F.A. Bartha, Dzung M. Ha
| Analysis in vector spaces [[electronic resource] ] : a course in advanced calculus / / Mustafa A. Akcoglu, Paul F.A. Bartha, Dzung M. Ha |
| Autore | Akcoglu Mustafa A (Mustafa Agah), <1934-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2009 |
| Descrizione fisica | 1 online resource (480 p.) |
| Disciplina |
512.52
512/.52 |
| Altri autori (Persone) |
BarthaPaul F. A. <1964->
HaDzung Minh |
| Soggetto topico |
Vector spaces
Functional analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-27395-0
9786613273956 1-118-16458-X 1-118-16459-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Analysis in Vector Spaces: A Course in Advanced Calculus; CONTENTS; Preface; PART I BACKGROUND MATERIAL; 1 Sets and Functions; 1.1 Sets in General; 1.2 Sets of Numbers; 1.3 Functions; 2 Real Numbers; 2.1 Review of the Order Relations; 2.2 Completeness of Real Numbers; 2.3 Sequences of Real Numbers; 2.4 Subsequences; 2.5 Series of Real Numbers; 2.6 Intervals and Connected Sets; 3 Vector Functions; 3.1 Vector Spaces: The Basics; 3.2 Bilinear Functions; 3.3 Multilinear Functions; 3.4 Inner Products; 3.5 Orthogonal Projections; 3.6 Spectral Theorem; PART II DIFFERENTIATION; 4 Normed Vector Spaces
4.1 Preliminaries4.2 Convergence in Normed Spaces; 4.3 Norms of Linear and Multilinear Transformations; 4.4 Continuity in Normed Spaces; 4.5 Topology of Normed Spaces; 5 Derivatives; 5.1 Functions of a Real Variable; 5.2 Differentiable Functions; 5.3 Existence of Derivatives; 5.4 Partial Derivatives; 5.5 Rules of Differentiation; 5.6 Differentiation of Products; 6 Diffeomorphisms and Manifolds; 6.1 The Inverse Function Theorem; 6.2 Graphs; 6.3 Manifolds in Parametric Representations; 6.4 Manifolds in Implicit Representations; 6.5 Differentiation on Manifolds; 7 Higher-Order Derivatives 7.1 Definitions7.2 Change of Order in Differentiation; 7.3 Sequences of Polynomials; 7.4 Local Extremal Values; PART III INTEGRATION; 8 Multiple Integrals; 8.1 Jordan Sets and Volume; 8.2 Integrals; 8.3 Images of Jordan Sets; 8.4 Change of Variables; 9 Integration on Manifolds; 9.1 Euclidean Volumes; 9.2 Integration on Manifolds; 9.3 Oriented Manifolds; 9.4 Integrals of Vector Fields; 9.5 Integrals of Tensor Fields; 9.6 Integration on Graphs; 10 Stokes' Theorem; 10.1 Basic Stokes' Theorem; 10.2 Flows; 10.3 Flux and Change of Volume in a Flow; 10.4 Exterior Derivatives 10.5 Regular and Almost Regular Sets10.6 Stokes' theorem on Manifolds; PART IV APPENDICES; Appendix A: Construction of the real numbers; A.1 Field and Order Axioms in Q; A.2 Equivalence Classes of Cauchy Sequences in Q; A.3 Completeness of R; Appendix B: Dimension of a vector space; B.1 Bases and linearly independent subsets; Appendix C: Determinants; C.1 Permutations; C.2 Determinants of Square Matrices; C.3 Determinant Functions; C.4 Determinant of a Linear Transformation; C.5 Determinants on Cartesian Products; C.6 Determinants in Euclidean Spaces; C.7 Trace of an Operator Appendix D: Partitions of unityD.1 Partitions of Unity; Index |
| Record Nr. | UNINA-9910139597703321 |
Akcoglu Mustafa A (Mustafa Agah), <1934->
|
||
| Hoboken, N.J., : Wiley-Interscience, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis in vector spaces [[electronic resource] ] : a course in advanced calculus / / Mustafa A. Akcoglu, Paul F.A. Bartha, Dzung M. Ha
| Analysis in vector spaces [[electronic resource] ] : a course in advanced calculus / / Mustafa A. Akcoglu, Paul F.A. Bartha, Dzung M. Ha |
| Autore | Akcoglu Mustafa A (Mustafa Agah), <1934-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2009 |
| Descrizione fisica | 1 online resource (480 p.) |
| Disciplina |
512.52
512/.52 |
| Altri autori (Persone) |
BarthaPaul F. A. <1964->
HaDzung Minh |
| Soggetto topico |
Vector spaces
Functional analysis |
| ISBN |
1-283-27395-0
9786613273956 1-118-16458-X 1-118-16459-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Analysis in Vector Spaces: A Course in Advanced Calculus; CONTENTS; Preface; PART I BACKGROUND MATERIAL; 1 Sets and Functions; 1.1 Sets in General; 1.2 Sets of Numbers; 1.3 Functions; 2 Real Numbers; 2.1 Review of the Order Relations; 2.2 Completeness of Real Numbers; 2.3 Sequences of Real Numbers; 2.4 Subsequences; 2.5 Series of Real Numbers; 2.6 Intervals and Connected Sets; 3 Vector Functions; 3.1 Vector Spaces: The Basics; 3.2 Bilinear Functions; 3.3 Multilinear Functions; 3.4 Inner Products; 3.5 Orthogonal Projections; 3.6 Spectral Theorem; PART II DIFFERENTIATION; 4 Normed Vector Spaces
4.1 Preliminaries4.2 Convergence in Normed Spaces; 4.3 Norms of Linear and Multilinear Transformations; 4.4 Continuity in Normed Spaces; 4.5 Topology of Normed Spaces; 5 Derivatives; 5.1 Functions of a Real Variable; 5.2 Differentiable Functions; 5.3 Existence of Derivatives; 5.4 Partial Derivatives; 5.5 Rules of Differentiation; 5.6 Differentiation of Products; 6 Diffeomorphisms and Manifolds; 6.1 The Inverse Function Theorem; 6.2 Graphs; 6.3 Manifolds in Parametric Representations; 6.4 Manifolds in Implicit Representations; 6.5 Differentiation on Manifolds; 7 Higher-Order Derivatives 7.1 Definitions7.2 Change of Order in Differentiation; 7.3 Sequences of Polynomials; 7.4 Local Extremal Values; PART III INTEGRATION; 8 Multiple Integrals; 8.1 Jordan Sets and Volume; 8.2 Integrals; 8.3 Images of Jordan Sets; 8.4 Change of Variables; 9 Integration on Manifolds; 9.1 Euclidean Volumes; 9.2 Integration on Manifolds; 9.3 Oriented Manifolds; 9.4 Integrals of Vector Fields; 9.5 Integrals of Tensor Fields; 9.6 Integration on Graphs; 10 Stokes' Theorem; 10.1 Basic Stokes' Theorem; 10.2 Flows; 10.3 Flux and Change of Volume in a Flow; 10.4 Exterior Derivatives 10.5 Regular and Almost Regular Sets10.6 Stokes' theorem on Manifolds; PART IV APPENDICES; Appendix A: Construction of the real numbers; A.1 Field and Order Axioms in Q; A.2 Equivalence Classes of Cauchy Sequences in Q; A.3 Completeness of R; Appendix B: Dimension of a vector space; B.1 Bases and linearly independent subsets; Appendix C: Determinants; C.1 Permutations; C.2 Determinants of Square Matrices; C.3 Determinant Functions; C.4 Determinant of a Linear Transformation; C.5 Determinants on Cartesian Products; C.6 Determinants in Euclidean Spaces; C.7 Trace of an Operator Appendix D: Partitions of unityD.1 Partitions of Unity; Index |
| Record Nr. | UNINA-9910830147503321 |
|
Akcoglu Mustafa A (Mustafa Agah), <1934->
|
||
| Hoboken, N.J., : Wiley-Interscience, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Calcolo Tensoriale ed Applicazioni / B. Finzi, M. Pastori
| Calcolo Tensoriale ed Applicazioni / B. Finzi, M. Pastori |
| Autore | Finzi, Bruno |
| Edizione | [2 ed.] |
| Pubbl/distr/stampa | Bologna : Zanichelli, s.d. |
| Descrizione fisica | X, 510 p. ; 25 cm |
| Disciplina | 512.52 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNINA-990000827150403321 |
|
Finzi, Bruno
|
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| Bologna : Zanichelli, s.d. | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Calcolo vettoriale elementare : teoria ed esercizi / prof. G. Pagliero
| Calcolo vettoriale elementare : teoria ed esercizi / prof. G. Pagliero |
| Autore | Pagliero, Giuliano |
| Pubbl/distr/stampa | Torino : Stabilimento grafico L. Rattero, 1941 |
| Descrizione fisica | 59 p. : ill. ; 24 cm |
| Disciplina | 512.52 |
| Soggetto topico | Calcolo vettoriale - Manuali |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991004321830707536 |
|
Pagliero, Giuliano
|
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| Torino : Stabilimento grafico L. Rattero, 1941 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Cartesian tensors : with applications to mechanics, fluid mechanics and elasticity / A. M. Goodbody
| Cartesian tensors : with applications to mechanics, fluid mechanics and elasticity / A. M. Goodbody |
| Autore | Goodbody, A.M. |
| Pubbl/distr/stampa | Chichester : Ellis Horwood Limited, 1982 |
| Descrizione fisica | 298 p. ; 23 cm |
| Disciplina | 512.52 |
| Collana | Ellis Horwood series in mathematics and its applications |
| ISBN | 0-85312-220-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990000853090403321 |
|
Goodbody, A.M.
|
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| Chichester : Ellis Horwood Limited, 1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorics of spreads and parallelisms / Norman L. Johnson
| Combinatorics of spreads and parallelisms / Norman L. Johnson |
| Autore | Johnson, Norman L. |
| Pubbl/distr/stampa | Boca Raton : Taylor & Francis Groups, 2010 |
| Descrizione fisica | XXI, 651 p. ; 24 cm |
| Disciplina | 512.52 |
| Collana | Pure and applied mathematics |
| Soggetto non controllato |
Geometria - Presentazione di ricerche
Strutture con parallelismo Teoria generale e geometrie proiettive |
| ISBN | 978-1-4398-1946-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990009267120403321 |
|
Johnson, Norman L.
|
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| Boca Raton : Taylor & Francis Groups, 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Espaces vectoriels, applications linéaires : L1, L2, classes préparatoires / / Jean-Jacques Colin et Jean-Marie Morvan
| Espaces vectoriels, applications linéaires : L1, L2, classes préparatoires / / Jean-Jacques Colin et Jean-Marie Morvan |
| Autore | Colin Jean-Jacques <1942-> |
| Pubbl/distr/stampa | Toulouse, France : , : Cépaduès-Éditions, , 2011 |
| Descrizione fisica | 1 online resource (ii, 140 pages) |
| Disciplina | 512.52 |
| Collana | Bien débuter en mathématiques |
| Soggetto topico | Vector spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN | 2-36493-330-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNINA-9910462500303321 |
|
Colin Jean-Jacques <1942->
|
||
| Toulouse, France : , : Cépaduès-Éditions, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Espaces vectoriels, applications linéaires : L1, L2, classes préparatoires / / Jean-Jacques Colin et Jean-Marie Morvan
| Espaces vectoriels, applications linéaires : L1, L2, classes préparatoires / / Jean-Jacques Colin et Jean-Marie Morvan |
| Autore | Colin Jean-Jacques <1942-> |
| Pubbl/distr/stampa | Toulouse, France : , : Cépaduès-Éditions, , 2011 |
| Descrizione fisica | 1 online resource (ii, 140 pages) |
| Disciplina | 512.52 |
| Collana | Bien débuter en mathématiques |
| Soggetto topico | Vector spaces |
| ISBN | 2-36493-330-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNINA-9910790310003321 |
|
Colin Jean-Jacques <1942->
|
||
| Toulouse, France : , : Cépaduès-Éditions, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Espaces vectoriels, applications linéaires : L1, L2, classes préparatoires / / Jean-Jacques Colin et Jean-Marie Morvan
| Espaces vectoriels, applications linéaires : L1, L2, classes préparatoires / / Jean-Jacques Colin et Jean-Marie Morvan |
| Autore | Colin Jean-Jacques <1942-> |
| Pubbl/distr/stampa | Toulouse, France : , : Cépaduès-Éditions, , 2011 |
| Descrizione fisica | 1 online resource (ii, 140 pages) |
| Disciplina | 512.52 |
| Collana | Bien débuter en mathématiques |
| Soggetto topico | Vector spaces |
| ISBN | 2-36493-330-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNINA-9910808700803321 |
|
Colin Jean-Jacques <1942->
|
||
| Toulouse, France : , : Cépaduès-Éditions, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Etude géométrique des espaces vectoriels : une introduction / Jacques Bair, René Fourneau
| Etude géométrique des espaces vectoriels : une introduction / Jacques Bair, René Fourneau |
| Autore | Bair, Jacques |
| Pubbl/distr/stampa | Berlin [etc.] : Springer, 1975 |
| Descrizione fisica | VII, 184 p. ; 25 cm. |
| Disciplina | 512.52 |
| Altri autori (Persone) | Fourneau, René |
| Collana | Lecture notes in mathematics |
| Soggetto topico | Algebra astratta |
| ISBN | 3-540-07413-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNIBAS-000013407 |
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Bair, Jacques
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| Berlin [etc.] : Springer, 1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. della Basilicata | ||
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