Mathematical Introduction to Data Science

Dr. Yi Sun, Reader in Data Science, in the Department of Computer Science, at the University of Hertfordshire. She has extensive teaching experience in machine learning and data science since 2006. Her research focuses on machine learning applications, with additional interests in image processing, natural language processing, and time series analysis.Prof. Rod Adams, Emeritus Professor, in the Department of Computer Science, at University of Hertfordshire. He has extensive experience in teaching both mathematics and computer science since the 1970s. His initial research was in mathematical logic and the maths behind compilers, especially for functional languages. Most of his research, however, has centred on neural modelling and machine learning in many application domains.

• Chapter 1 Introduction.- Chapter 2 Sets and Functions.- Chapter 3 Liner Algebra.- Chapter 4 Matrix Decomposition.- Chapter 5 Calculus.- Chapter 6 Advanced Calculus.- Chapter 7 Algorithms 1 – Principal Component Analysis.- Chapter 8 Algorithms 2 – Liner Regression.- Chapter 9 Algorithms 3 – Neural Networks.- Chapter 10 Probability.- Chapter 11 Further Probability.- Chapter 12 Elements of Statistics.- Chapter 13 Algorithms 4 – Maximum Likelihood Estimation and its Application to Regression.- Chapter 14 Data Modelling in Practice.