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020 _a9783030213213
_9978-3-030-21321-3
024 7 _a10.1007/978-3-030-21321-3
_2doi
050 4 _aQA76.9.M35
072 7 _aUYAM
_2bicssc
072 7 _aCOM014000
_2bisacsh
072 7 _aUYAM
_2thema
082 0 4 _a004.0151
_223
100 1 _aNeri, Ferrante.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aLinear Algebra for Computational Sciences and Engineering
_h[electronic resource] /
_cby Ferrante Neri.
250 _a2nd ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXXV, 574 p. 169 illus., 5 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _a1. Basic Mathematical Thinking -- 2. Matrices -- 3. Systems of Linear Equations -- 4. Geometric Vectors -- 5. Complex Numbers and Polynomials -- 6. An Introduction to Geometric Algebra and Conics -- 7. An Overview of Algebraic Structures -- 8. Vector Spaces -- 9. An Introduction to Inner Product Spaces: Euclidean Spaces -- 10. Linear Mappings -- 11. An Introduction to Computational Complexity -- 12. Graph Theory -- 13. Applied Linear Algebra: Electrical Networks -- A. non-linear Algebra: An Introduction to Boolean Algebra -- Proofs of Theorems that Require Further Knowledge of Mathematics -- Appendix. Solutions to the Exercises.
520 _aThis book presents the main concepts of linear algebra from the viewpoint of applied scientists such as computer scientists and engineers, without compromising on mathematical rigor. Based on the idea that computational scientists and engineers need, in both research and professional life, an understanding of theoretical concepts of mathematics in order to be able to propose research advances and innovative solutions, every concept is thoroughly introduced and is accompanied by its informal interpretation. Furthermore, most of the theorems included are first rigorously proved and then shown in practice by a numerical example. When appropriate, topics are presented also by means of pseudocodes, thus highlighting the computer implementation of algebraic theory. It is structured to be accessible to everybody, from students of pure mathematics who are approaching algebra for the first time to researchers and graduate students in applied sciences who needa theoretical manual of algebra to successfully perform their research. Most importantly, this book is designed to be ideal for both theoretical and practical minds and to offer to both alternative and complementary perspectives to study and understand linear algebra.
650 0 _aComputer science
_xMathematics.
650 0 _aEngineering mathematics.
650 0 _aEngineering
_xData processing.
650 0 _aAlgebras, Linear.
650 1 4 _aMathematics of Computing.
650 2 4 _aMathematical and Computational Engineering Applications.
650 2 4 _aLinear Algebra.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030213206
776 0 8 _iPrinted edition:
_z9783030213220
776 0 8 _iPrinted edition:
_z9783030213237
856 4 0 _uhttps://doi.org/10.1007/978-3-030-21321-3
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c176659
_d176659