Linear Algebra, Data Science, and Machine Learning
This text provides a mathematically rigorous introduction to modern methods of machine learning and data analysis at the advanced undergraduate/beginning graduate level. The book is self-contained and requires minimal mathematical prerequisites. There is a strong focus on learning how and why algori...
Sábháilte in:
| Príomhchruthaitheoirí: | , |
|---|---|
| Údar corparáideach: | |
| Formáid: | Leictreonach Ríomhleabhar |
| Teanga: | Béarla |
| Foilsithe / Cruthaithe: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Eagrán: | 1st ed. 2025. |
| Sraith: | Springer Undergraduate Texts in Mathematics and Technology,
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| Ábhair: | |
| Rochtain ar líne: | https://doi.org/10.1007/978-3-031-93764-4 |
| Clibeanna: |
Cuir clib leis
Níl clibeanna ann, Bí ar an gcéad duine le clib a chur leis an taifead seo!
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MARC
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| 100 | 1 | |a Calder, Jeff. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Linear Algebra, Data Science, and Machine Learning |h [electronic resource] / |c by Jeff Calder, Peter J. Olver. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XXIII, 629 p. 639 illus.). |b 639 illus. in color. | ||
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| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
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| 490 | 1 | |a Springer Undergraduate Texts in Mathematics and Technology, |x 1867-5514 | |
| 505 | 0 | |a Preface -- 1 Vectors -- 2 Inner Product, Orthogonality, Norm -- 3 Matrices -- 4. How Matrices Interact with Inner Products and Norms -- 5 Eigenvalues and Singular Values -- 6 Basics of Optimization -- 7 Introduction to Machine Learning and Data -- 8 Principal Component Analysis -- 9 Graph Theory and Graph-based Learning -- 10 Neural Networks and Deep Learning -- 11 Advanced Optimization -- Bibliography -- Index. | |
| 520 | |a This text provides a mathematically rigorous introduction to modern methods of machine learning and data analysis at the advanced undergraduate/beginning graduate level. The book is self-contained and requires minimal mathematical prerequisites. There is a strong focus on learning how and why algorithms work, as well as developing facility with their practical applications. Apart from basic calculus, the underlying mathematics — linear algebra, optimization, elementary probability, graph theory, and statistics — is developed from scratch in a form best suited to the overall goals. In particular, the wide-ranging linear algebra components are unique in their ordering and choice of topics, emphasizing those parts of the theory and techniques that are used in contemporary machine learning and data analysis. The book will provide a firm foundation to the reader whose goal is to work on applications of machine learning and/or research into the further development of this highly active field of contemporary applied mathematics. To introduce the reader to a broad range of machine learning algorithms and how they are used in real world applications, the programming language Python is employed and offers a platform for many of the computational exercises. Python notebooks complementing various topics in the book are available on a companion GitHub site specified in the Preface, and can be easily accessed by scanning the QR codes or clicking on the links provided within the text. Exercises appear at the end of each section, including basic ones designed to test comprehension and computational skills, while others range over proofs not supplied in the text, practical computations, additional theoretical results, and further developments in the subject. The Students’ Solutions Manual may be accessed from GitHub. Instructors may apply for access to the Instructors’ Solutions Manual from the link supplied on the text’s Springer website. The book can be used in a junior or senior level course for students majoring in mathematics with a focus on applications as well as students from other disciplines who desire to learn the tools of modern applied linear algebra and optimization. It may also be used as an introduction to fundamental techniques in data science and machine learning for advanced undergraduate and graduate students or researchers from other areas, including statistics, computer science, engineering, biology, economics and finance, and so on. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility. It includes screen reader support, bookmarks for easy navigation, keyboard-friendly links and forms, and searchable, selectable text. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility Please Note that a more accessible version of this eBook is available as an EPUB. | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Algebras, Linear. | |
| 650 | 0 | |a Artificial intelligence |x Data processing. | |
| 650 | 0 | |a Machine learning. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Probabilities. | |
| 650 | 1 | 4 | |a Linear Algebra. |
| 650 | 2 | 4 | |a Data Science. |
| 650 | 2 | 4 | |a Machine Learning. |
| 650 | 2 | 4 | |a Optimization. |
| 650 | 2 | 4 | |a Applied Probability. |
| 700 | 1 | |a Olver, Peter J. |e author. |0 (orcid)0000-0001-6209-8777 |1 https://orcid.org/0000-0001-6209-8777 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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