Matthias Plaue is a versatile researcher with a background in mathematical physics. He has explored diverse domains, spanning from relativity theory to pedestrian dynamics. As a data scientist, he develops algorithms for data analysis and artificial intelligence, tailored to support strategic decision-making. In addition to his professional pursuits, he has devoted considerable time to mentoring students, imparting a deep understanding of mathematics and its practical application in tackling complex problems across the fields of science, technology, and engineering.

“The book covers a wide range of topics, from basic statistical concepts to advanced machine learning algorithms. It is both deep and broad, making it a valuable resource for both beginners and experienced practitioners. Each concept is well explained and often accompanied by practical examples, which enhances understanding. The inclusion of real-world examples and applications of machine learning techniques is a major strength.” (Wael Badawy, Computing Reviews, March 1, 2024)

• Preface.- Part I Basics.- ​1 Elements of data organization.- 2 Descriptive statistics.- Part II Stochastics.- 3 Probability theory.- 4 Inferential statistics.- 5 Multivariate statistics.- Part III Machine learning.- 6 Supervised machine learning.- 7 Unsupervised machine learning.- 8 Applications of machine learning.- Appendix.- A Exercises with answers.- B Mathematical preliminaries.- Supplementary literature.- Index.

Matthias Plaue is a versatile researcher with a background in mathematical physics. He has explored diverse domains, spanning from relativity theory to pedestrian dynamics. As a data scientist, he develops algorithms for data analysis and artificial intelligence, tailored to support strategic decision-making. In addition to his professional pursuits, he has devoted considerable time to mentoring students, imparting a deep understanding of mathematics and its practical application in tackling complex problems across the fields of science, technology, and engineering.

“The book covers a wide range of topics, from basic statistical concepts to advanced machine learning algorithms. It is both deep and broad, making it a valuable resource for both beginners and experienced practitioners. Each concept is well explained and often accompanied by practical examples, which enhances understanding. The inclusion of real-world examples and applications of machine learning techniques is a major strength.” (Wael Badawy, Computing Reviews, March 1, 2024)

• Preface.- Part I Basics.- ​1 Elements of data organization.- 2 Descriptive statistics.- Part II Stochastics.- 3 Probability theory.- 4 Inferential statistics.- 5 Multivariate statistics.- Part III Machine learning.- 6 Supervised machine learning.- 7 Unsupervised machine learning.- 8 Applications of machine learning.- Appendix.- A Exercises with answers.- B Mathematical preliminaries.- Supplementary literature.- Index.