Introduction to linear algebra / Rita Fioresi, Marta Morigi.
Linear algebra provides the essential mathematical tools to tackle all the problems in Science. Introduction to Linear Algebra is primarily aimed at students in applied fields (e.g. Computer Science and Engineering), providing them with a concrete, rigorous approach to face and solve various types o...
Saved in:
| Online Access: |
Full Text (via Taylor & Francis) |
|---|---|
| Main Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boca Raton :
Chapman & Hall/CRC,
2021.
|
| Edition: | 1st. |
| Subjects: |
MARC
| LEADER | 00000cam a22000001i 4500 | ||
|---|---|---|---|
| 001 | b11973716 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 210709s2021 flua ob 001 0 eng d | ||
| 005 | 20241118152258.0 | ||
| 015 | |a GBC1B1621 |2 bnb | ||
| 016 | 7 | |a 020258757 |2 Uk | |
| 020 | |a 9781000427905 |q (ePub ebook) | ||
| 020 | |a 1000427900 | ||
| 020 | |a 9781000427875 |q (PDF ebook) | ||
| 020 | |a 1000427870 | ||
| 020 | |a 9781003119609 |q (ebook) | ||
| 020 | |a 1003119603 | ||
| 020 | |z 9780367626549 (hbk.) | ||
| 024 | 7 | |a 10.1201/9781003119609 |2 doi | |
| 029 | 0 | |a UKMGB |b 020258757 | |
| 029 | 1 | |a AU@ |b 000070045934 | |
| 035 | |a (OCoLC)tfe1263818404 | ||
| 035 | |a (OCoLC)1263818404 | ||
| 037 | |a tfe9781003119609 | ||
| 040 | |a UKMGB |b eng |e rda |e pn |c UKMGB |d OCLCO |d OCLCF |d TYFRS |d UKAHL |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d NOC | ||
| 049 | |a GWRE | ||
| 050 | 4 | |a QA184.2 | |
| 100 | 1 | |a Fioresi, Rita, |d 1966- |e author. |0 http://id.loc.gov/authorities/names/no98070726 |1 https://id.oclc.org/worldcat/entity/E39PBJvcYTHbt7xJT9qQfbmcfq |1 http://isni.org/isni/0000000109678502 | |
| 245 | 1 | 0 | |a Introduction to linear algebra / |c Rita Fioresi, Marta Morigi. |
| 250 | |a 1st. | ||
| 264 | 1 | |a Boca Raton : |b Chapman & Hall/CRC, |c 2021. | |
| 300 | |a 1 online resource : |b illustrations (black and white) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 336 | |a still image |b sti |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a online resource |b nc |2 rdacarrier | ||
| 545 | 0 | |a Rita Fioresi and Marta Morigi are professors at the University of Bologna and teach linearalgebra courses to students of all majors. Their research publications are centered into algebra with some applications (R. Fioresi Lie theory & machine learning, M. Morigi Group theory). | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 1. Introduction to Linear Systems. 1.1. Linear systems: First Examples. 1.2. Matrices. 1.3. Matrices and Linear Systems. 1.4. The Gaussian Algorithm. 1.5. Exercises with Solutions. 1.6. Suggested Exercises. 2. Vector Spaces. 2.1. Introduction: The Set of Real Numbers. 2.2. The Vector Space R<I>n </I>and the Vector Space of Matrices. 2.3. Vector Spaces. 2.4. SubSpaces. 2.5. Exercises with Solutions. 2.6. Suggested Exercises. 3. Linear Combination and Linear Independence. 3.1. Linear Combinations and Generators. 3.2. Linear Independence. 3.3. Exercises with Solutions. 3.4. Suggested Exercises. 4. Basis and Dimension. 4.1. Basis: Definition and Examples. 4.2. The Concept of Dimension. 4.3. Gaussian Algorithm. 4.4. Exercises with Solutions. 4.5. Suggested Exercises. 4.6. Appendix: The Completion Theorem. 5. Linear Transformations. 5.1. Linear Transformations: Definition. 5.2. Linear Maps and Matrices. 5.3. the Composition of Linear transformations. 5.4. Kernel and Image. 5.5. The Rank Nullity Theorem. 5.6. Isomorphism of Vector Spaces. 5.7. Calculation of Kernel and Image. 5.8. Exercises with Solutions. 5.9. Suggested Exercises. 6. Linear Systems. 6.1. Preimage. 6.2. Linear Systems. 6.3. Exercises with Solutions. 6.4. Suggested Exercises. 7. Determinant and Inverse. 7.1. Definition of Determinant. 7.2. Calculating the Determinant: Cases 2 -- 2 and 3 -- 3. 7.3. Calculating the Determinant with a Recursive Method. 7.4. Inverse of a Matrix. 7.5. Calculation of the Inverse with the Gaussian Algorithm. 7.6. The Linear Maps from R<I>n </I>to R<I>n. 7.7. Exercises with Solutions. 7.8. Suggested Exercises. 7.9. Appendix 8. Change of Basis 8.1. Linear Transformations and Matrices. 8.2. The Identity Map. 8.3. Change of Basis for Linear Transformations. 8.4. Exercises with Solutions. 8.5. Suggested Exercises. 9. Eigenvalues and Eigenvectors 9.1. Diagonalizability. 9.2. Eigenvalues and Eigenvectors. 9.3. Exercises with Solutions. 9.4. Suggested Exercises. 10. Scalar Products. 10.1. Bilinear Forms. 10.2. Bilinear Forms and Matrices. 10.3. Basis Change. 10.4. Scalar Products. 10.5. Orthogonal Subspaces. 10.6. Gram-Schmidt Algorithm. 10.7. Exercises with Solutions. 10.8. Suggested Exercises. 11. Spectral Theorem. 11.1. Orthogonal Linear Transformations. 11.2. Orthogonal Matrices. 11.3. Symmetric Linear Transformations. 11.4. The Spectral Theorem. 11.5. Exercises with Solutions. 11.6. Suggested Exercises. 11.7. Appendix: The Complex Case. 12. Applications of Spectral Theorem and Quadratic Forms. 12.1. Diagonalization of Scalar Products. 12.2. Quadratic Forms. 12.3. Quadratic Forms and in the Plane. 12.4. Exercises with Solutions. 12.5. Suggested Exercises. 13. Lines and Planes. 13.1. Points and Vectors in R3. 13.2. Scalar Product and Vector Product. 13.3. Lines in R3. 13.4. Planes in R3. 13.5. Exercises with Solutions. 13.6. Suggested Exercises. 14. Introduction to Modular Arithmetic 14.1. The Principle of Induction. 14.2. The Division Algorithm and Euclid's Algorithm. 14.3. Congruence Classes. 14.4. Congruences. 14.5. Exercises with Solutions. 14.6. Suggested Exercises. 14.7 Appendix: Elementary Notions of Set Theory. Appendix A. Complex Numbers. A.1. Complex Numbers. A.2. Polar Representation. Appendix B. Solutions of Some Suggested Exercises. Bibliography. Index. | |
| 588 | |a Description based on CIP data; resource not viewed. | ||
| 520 | |a Linear algebra provides the essential mathematical tools to tackle all the problems in Science. Introduction to Linear Algebra is primarily aimed at students in applied fields (e.g. Computer Science and Engineering), providing them with a concrete, rigorous approach to face and solve various types of problems for the applications of their interest. This book offers a straightforward introduction to linear algebra that requires a minimal mathematical background to read and engage with. Features Presented in a brief, informative and engaging style Suitable for a wide broad range of undergraduates Contains many worked examples and exercises | ||
| 650 | 0 | |a Algebras, Linear. |0 http://id.loc.gov/authorities/subjects/sh85003441 | |
| 650 | 7 | |a Algebras, Linear. |2 fast | |
| 700 | 1 | |a Morigi, Marta, |e author. |0 http://id.loc.gov/authorities/names/n2021028091 | |
| 758 | |i has work: |a Introduction to linear algebra (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFwP7v788p8XgmXpjXr44q |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9780367626549 |
| 856 | 4 | 0 | |u https://colorado.idm.oclc.org/login?url=https://www.taylorfrancis.com/books/9781003119609 |z Full Text (via Taylor & Francis) |
| 915 | |a 1 | ||
| 944 | |a MARS - RDA ENRICHED | ||
| 956 | |a Taylor & Francis Ebooks | ||
| 956 | |b Taylor & Francis All eBooks | ||
| 956 | |a Quesnalia testing - EUI | ||
| 994 | |a 92 |b COD | ||
| 998 | |b Added to collection informaworld.tandfebooks | ||
| 999 | f | f | |i 4cc2ecc5-fd9a-5bde-bf8f-bae00c126ce6 |s f5559e1f-e0ed-5e39-af9c-c515ec3cd67c |
| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Online |c Online |d Online |e QA184.2 |h Library of Congress classification |i web |n 1 |