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Linear Algebra, Data Science, and Machine Learning

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Linear Algebra, Data Science, and Machine Learning

Jeff Calder, Peter J. Olver (Gebundene Ausgabe, Englisch)

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Beschreibung

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. Weniger zeigen

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Produktinformationen

Technische Daten

Erscheinungsdatum

26.08.2025

Sprache

Englisch

EAN

9783031937637

Herausgeber

Springer International Publishing

Serien- oder Bandtitel

Springer Undergraduate Texts in Mathematics and Technology

Sonderedition

Nein

Autor

Jeff Calder, Peter J. Olver

Seitenanzahl

629

Einbandart

Gebundene Ausgabe

Schlagwörter

textbook machine learning, optimization, graph theory, neural network, deep learning, support vector machines, clustering, regression, dimension reduction, machine learning, classification, data science, gradient descent, graph-based learning, linear algebra, principal component analysis, semi-supervised learning

Thema-Inhalt

PBF - Algebra UN - Datenbanken UYQM - Maschinelles Lernen PBU - Optimierung PBT - Wahrscheinlichkeitsrechnung und Statistik PBWL - Stochastik

Höhe

254 mm

Breite

17.8 cm

Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH

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