Linear algebra and multivariable calculus:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
McGraw-Hill
1970
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 578 S. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Feeman, George F. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Linear algebra and multivariable calculus |c George F. Feeman ; Neil R. Grabois |
| 264 | 1 | |a New York [u.a.] |b McGraw-Hill |c 1970 | |
| 300 | |a VIII, 578 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Algèbre linéaire | |
| 650 | 4 | |a Calcul | |
| 650 | 4 | |a Algebras, Linear | |
| 650 | 4 | |a Calculus | |
| 650 | 0 | 7 | |a Multivariate Analyse |0 (DE-588)4040708-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
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| 689 | 1 | 0 | |a Multivariate Analyse |0 (DE-588)4040708-1 |D s |
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| 700 | 1 | |a Grabois, Neil R. |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804122528129482752 |
|---|---|
| adam_text | Preface v
chapter one THE SPACE fi AND FUNCTIONS ON R 1
1.1 The Space fi2 1
1.2 The Space fi 9
1.3 Functions from R to fi 15
1.4 Linear Functions from fi to R 27
chapter two PRODUCTS OF VECTORS AND ELEMENTARY TOPOLOGY OF R 35
2.1 The Dot Product in R2 35
2.2 Products in fi3 42
2.3 The Dot Product in fi 58
2.4 Sets and Elementary Topology of R 69
2.5 Continuous Functions from R to R 82
chapter three VECTOR SPACES 97
3.1 The Definition of Vector Space 97
3.2 Properties of Vector Spaces and Subspaces 104
3.3 The Span of a Set 111
3.4 Linear Independence and Bases 117
3.5 Properties of Bases and Dimension 126
chapter four LINEAR TRANSFORMATIONS AND MATRICES 138
4.1 Linear Transformations 138
4.2 Matrices 155
4.3 Lines, Planes, and Hyperplanes 181
chapter five DIFFERENTIAL CALCULUS 195
5.1 The Derivative of a Function 195
5.2 Directional and Partial Derivatives 206
5.3 The Jacobian Matrix 224
5.4 The Chain Rule 237
viii CONTENTS
chapter six INNER PRODUCT SPACES 254
6.1 Inner product Spaces 254
6.2 Length and Angle in Inner product Spaces 266
6.3 Orthogonal Transformations 282
6.4 Quadratic Forms 294
chapter seven DETERMINANTS AND SYSTEMS OF EQUATIONS 307
7.1 Definition of the Determinant 307
7.2 Properties of the Determinant 318
7.3 Systems of Linear Equations 332
chapter eight MAPPING THEOREMS AND EXTREME VALUES 352
8.1 Inverse function Theorem 352
8.2 Implicit function Theorem 363
8.3 Higher order Derivatives 375
8.4 Extreme Values of Real valued Functions 388
8.5 Continuous Functions on R2 403
chapter nine INTEGRAL CALCULUS 412
9.1 Iterated Integrals 412
9.2 Multiple Integrals 425
9.3 Curvilinear Coordinates 439
9.4 Change of Variable in Integration 447
9.5 Line Integrals and Green s Theorem 457
9.6 Extreme Values and Integrals 471
chapter ten NORMAL FORMS 478
10.1 Invariant Subspaces and Symmetric Transformations 478
10.2 Diagonalization of Symmetric Transformations 487
10.3 Jordan Normal Form 496
10.4 The Exponential of a Matrix 510
References 523
Answers to Exercises 525
Answers and Hints to Odd numbered Problems 537
Index 569
|
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| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:15:18Z |
| institution | BVB |
| language | English |
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| physical | VIII, 578 S. graph. Darst. |
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| publishDate | 1970 |
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| publisher | McGraw-Hill |
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| spelling | Feeman, George F. Verfasser aut Linear algebra and multivariable calculus George F. Feeman ; Neil R. Grabois New York [u.a.] McGraw-Hill 1970 VIII, 578 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algèbre linéaire Calcul Algebras, Linear Calculus Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s DE-604 Multivariate Analyse (DE-588)4040708-1 s Grabois, Neil R. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005374306&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Feeman, George F. Grabois, Neil R. Linear algebra and multivariable calculus Algèbre linéaire Calcul Algebras, Linear Calculus Multivariate Analyse (DE-588)4040708-1 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4040708-1 (DE-588)4035811-2 |
| title | Linear algebra and multivariable calculus |
| title_auth | Linear algebra and multivariable calculus |
| title_exact_search | Linear algebra and multivariable calculus |
| title_full | Linear algebra and multivariable calculus George F. Feeman ; Neil R. Grabois |
| title_fullStr | Linear algebra and multivariable calculus George F. Feeman ; Neil R. Grabois |
| title_full_unstemmed | Linear algebra and multivariable calculus George F. Feeman ; Neil R. Grabois |
| title_short | Linear algebra and multivariable calculus |
| title_sort | linear algebra and multivariable calculus |
| topic | Algèbre linéaire Calcul Algebras, Linear Calculus Multivariate Analyse (DE-588)4040708-1 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algèbre linéaire Calcul Algebras, Linear Calculus Multivariate Analyse Lineare Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005374306&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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