Linear algebra
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cham ; Heidelberg ; New York ; Dodrecht ; London
Springer
[2015]
|
| Schriftenreihe: | Springer undergraduate mathematics series
|
| Schlagworte: | |
| Online-Zugang: | DE-634 DE-861 DE-91 DE-19 DE-703 DE-20 DE-739 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract |
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Datensatz im Suchindex
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| adam_text | LINEAR ALGEBRA
/ LIESEN, JOERG
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
LINEAR ALGEBRA IN EVERY DAY LIFE
BASIC MATHEMATICAL CONCEPTS
ALGEBRAIC STRUCTURES
MATRICES
THE ECHELON FORM AND THE RANK OF MATRICES
LINEAR SYSTEMS OF EQUATIONS
DETERMINANTS OF MATRICES
THE CHARACTERISTIC POLYNOMIAL AND EIGENVALUES OF MATRICES
VECTOR SPACES
LINEAR MAPS
LINEAR FORMS AND BILINEAR FORMS
EUCLIDEAN AND UNITARY VECTOR SPACES
ADJOINTS OF LINEAR MAPS
EIGENVALUES OF ENDOMORPHISMS
POLYNOMIALS AND THE FUNDAMENTAL THEOREM OF ALGEBRA
CYCLIC SUBSPACES, DUALITY AND THE JORDAN CANONICAL FORM
MATRIX FUNCTIONS AND SYSTEMS OF DIFFERENTIAL EQUATIONS
SPECIAL CLASSES OF ENDOMORPHISMS
THE SINGULAR VALUE DECOMPOSITION
THE KRONECKER PRODUCT AND LINEAR MATRIX EQUATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
LINEAR ALGEBRA
/ LIESEN, JOERG
: 2015
ABSTRACT / INHALTSTEXT
THIS SELF-CONTAINED TEXTBOOK TAKES A MATRIX-ORIENTED APPROACH TO LINEAR
ALGEBRA AND PRESENTS A COMPLETE THEORY, INCLUDING ALL DETAILS AND
PROOFS, CULMINATING IN THE JORDAN CANONICAL FORM AND ITS PROOF.
THROUGHOUT THE DEVELOPMENT, THE APPLICABILITY OF THE RESULTS IS
HIGHLIGHTED. ADDITIONALLY, THE BOOK PRESENTS SPECIAL TOPICS FROM APPLIED
LINEAR ALGEBRA INCLUDING MATRIX FUNCTIONS, THE SINGULAR VALUE
DECOMPOSITION, THE KRONECKER PRODUCT AND LINEAR MATRIX EQUATIONS. THE
MATRIX-ORIENTED APPROACH TO LINEAR ALGEBRA LEADS TO A BETTER INTUITION
AND A DEEPER UNDERSTANDING OF THE ABSTRACT CONCEPTS, AND THEREFORE
SIMPLIFIES THEIR USE IN REAL WORLD APPLICATIONS. SOME OF THESE
APPLICATIONS ARE PRESENTED IN DETAILED EXAMPLES. IN SEVERAL
‘MATLAB-MINUTES’ STUDENTS CAN COMPREHEND THE CONCEPTS AND RESULTS
USING COMPUTATIONAL EXPERIMENTS. NECESSARY BASICS FOR THE USE OF MATLAB
ARE PRESENTED IN A SHORT INTRODUCTION. STUDENTS CAN ALSO ACTIVELY WORK
WITH THE MATERIAL AND PRACTICE THEIR MATHEMATICAL SKILLS IN MORE THAN
300 EXERCISES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Liesen, Jörg Mehrmann, Volker 1955- |
| author_GND | (DE-588)1022275577 (DE-588)172254140 |
| author_facet | Liesen, Jörg Mehrmann, Volker 1955- |
| author_role | aut aut |
| author_sort | Liesen, Jörg |
| author_variant | j l jl v m vm |
| building | Verbundindex |
| bvnumber | BV043209751 |
| classification_rvk | SK 200 SK 220 |
| classification_tum | MAT 150f MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)932040802 (DE-599)BVBBV043209751 |
| dewey-full | 512.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.5 |
| dewey-search | 512.5 |
| dewey-sort | 3512.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-24346-7 |
| format | Electronic eBook |
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| id | DE-604.BV043209751 |
| illustrated | Illustrated |
| indexdate | 2025-02-03T17:41:49Z |
| institution | BVB |
| isbn | 9783319243467 |
| issn | 1615-2085 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028632912 |
| oclc_num | 932040802 |
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| physical | 1 Online Ressource (xi, 324 Seiten) Illustrationen, Diagramme |
| psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer undergraduate mathematics series |
| spellingShingle | Liesen, Jörg Mehrmann, Volker 1955- Linear algebra Mathematics Matrix theory Algebra Linear and Multilinear Algebras, Matrix Theory Mathematik Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4123623-3 |
| title | Linear algebra |
| title_alt | Lineare Algebra |
| title_auth | Linear algebra |
| title_exact_search | Linear algebra |
| title_full | Linear algebra Jörg Liesen, Volker Mehrmann |
| title_fullStr | Linear algebra Jörg Liesen, Volker Mehrmann |
| title_full_unstemmed | Linear algebra Jörg Liesen, Volker Mehrmann |
| title_short | Linear algebra |
| title_sort | linear algebra |
| topic | Mathematics Matrix theory Algebra Linear and Multilinear Algebras, Matrix Theory Mathematik Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Mathematics Matrix theory Algebra Linear and Multilinear Algebras, Matrix Theory Mathematik Lineare Algebra Lehrbuch |
| url | https://doi.org/10.1007/978-3-319-24346-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632912&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632912&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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