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04180nam a22005655i 4500 |
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978-0-8176-4636-3 |
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DE-He213 |
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20210701130951.0 |
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cr nn 008mamaa |
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141014s2014 xxu| s |||| 0|eng d |
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|a 9780817646363
|9 978-0-8176-4636-3
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|a 10.1007/978-0-8176-4636-3
|2 doi
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|a QA184-205
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|a MAT002050
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|a Andreescu, Titu.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Essential Linear Algebra with Applications
|h [electronic resource] :
|b A Problem-Solving Approach /
|c by Titu Andreescu.
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| 250 |
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|a 1st ed. 2014.
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|a New York, NY :
|b Springer New York :
|b Imprint: Birkhäuser,
|c 2014.
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| 300 |
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|a X, 491 p. 2 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Preface -- Linear Phenomena and Euclidean Spaces of Small Dimension -- Concrete Vector Spaces -- Vector Spaces and Subspaces -- Linear Transformations -- More Matrix Algebra and Determinants -- General Theory of Linear Equations -- Eigenvectors -- Orthogonality -- Forms -- Vector Spaces over Finite Fields -- Appendix A: Complex Numbers -- Appendix B: Polynomials over Complex Numbers -- References -- Index. .
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|a This textbook provides a rigorous introduction to linear algebra in addition to material suitable for a more advanced course while emphasizing the subject’s interactions with other topics in mathematics such as calculus and geometry. A problem-based approach is used to develop the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality. Key features include: • a thorough presentation of the main results in linear algebra along with numerous examples to illustrate the theory; • over 500 problems (half with complete solutions) carefully selected for their elegance and theoretical significance; • an interleaved discussion of geometry and linear algebra, giving readers a solid understanding of both topics and the relationship between them. Numerous exercises and well-chosen examples make this text suitable for advanced courses at the junior or senior levels. It can also serve as a source of supplementary problems for a sophomore-level course. .
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|a Matrix theory.
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|a Algebra.
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|a Applied mathematics.
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|a Engineering mathematics.
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|a Game theory.
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|a Computer science—Mathematics.
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|a Linear and Multilinear Algebras, Matrix Theory.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M11094
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|a Algebra.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M11000
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|a Applications of Mathematics.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M13003
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|a Game Theory, Economics, Social and Behav. Sciences.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M13011
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|a Mathematical and Computational Engineering.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/T11006
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| 650 |
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|a Math Applications in Computer Science.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/I17044
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| 710 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer Nature eBook
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| 776 |
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|i Printed edition:
|z 9780817671839
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| 776 |
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|i Printed edition:
|z 9780817643607
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| 776 |
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|i Printed edition:
|z 9781493938537
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|u https://doi.org/10.1007/978-0-8176-4636-3
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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| 950 |
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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