{"product_id":"advanced-linear-algebra-a-concise-text-with-contemporary-applications-paperback-softback-9781009589840","title":"Advanced Linear Algebra; A Concise Text with Contemporary Applications (Paperback \/ softback) 9781009589840","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAdvanced Linear Algebra\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Concise Text with Contemporary Applications\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis engaging text helps advanced undergraduate students grasp core concepts in linear algebra and examines contemporary applications.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eYisong Yang (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009589840, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 12 June 2025\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e472 pages\u003cbr\u003e22.9 x 15.1 x 2.6 cm, 0.69 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'It goes beyond mere computation, focusing on developing a conceptual understanding through proofs and real-world applications … this edition transforms the book into a dual-purpose resource: it remains a complete, theoretical course while simultaneously serving as a bridge to cutting-edge applications. It shows how deep mathematical fundamentals are essential for machine learning, data science, and quantum technology. Minor refinements and expanded exercises further enhance its classroom utility, solidifying its role in preparing students for academic and research endeavors at the forefront of science and engineering.' Mohammad Sal Moslehian, MathSciNet\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe second edition of this engaging textbook for advanced undergraduate students and beginning graduates covers all the core subjects in linear algebra. It has a unique emphasis on integrating ideas from analysis, in addition to pure algebra, and features a balance of abstraction, practicality, and contemporary applications. Four chapters examine some of the most important of these applications, including quantum mechanics, machine learning, data science, and quantum information. The material is supplemented by a rich collection of exercises designed for students from diverse backgrounds, including a wealth of newly added ones in this edition. Selected solutions are provided at the back of the book for use in self-study, and full solutions are available online to instructors.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eNotation and convention\u003cbr\u003e 1. Vector spaces\u003cbr\u003e 2. Linear mappings\u003cbr\u003e 3. Determinants\u003cbr\u003e 4. Scalar products\u003cbr\u003e 5. Real quadratic forms and self-adjoint mappings\u003cbr\u003e 6. Complex quadratic forms and self-adjoint mappings\u003cbr\u003e 7. Jordan decomposition\u003cbr\u003e 8. Selected topics\u003cbr\u003e 9. Excursion: Quantum mechanics in a nutshell\u003cbr\u003e 10. Excursion: Problems in machine learning\u003cbr\u003e 11. Excursion: Problems in data analysis\u003cbr\u003e 12. Excursion: Multilinear algebra\u003cbr\u003e 13. Excursion: Essentials of quantum information and quantum entanglement\u003cbr\u003e Solutions to selected problems\u003cbr\u003e Bibliographic notes\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Algebra [\u003ca title=\"See our other books on Algebra\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Algebra%20%5BPBF%5D%22\"\u003ePBF\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Brand New","offer_id":52470096986392,"sku":"9781009589840","price":34.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781009589840i.jpg?v=1785633116","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/advanced-linear-algebra-a-concise-text-with-contemporary-applications-paperback-softback-9781009589840","provider":"Freshly Printed Books","version":"1.0","type":"link"}