Mathematical and statistical methods are essential in actuarial sciences for assessing risk and uncertainty in insurance, pensions and finance. Key mathematical tools include calculus, probability and financial mathematics. Statistical methods involve analysing data, modelling and using regression techniques to predict future events and trends. These methods help in pricing insurance policies, setting aside reserves for future claims and managing financial risks. By combining these tools, professionals in actuarial sciences can make informed decisions, ensuring financial stability and protecting companies from potential losses. Overall, these methods form the foundation of actuarial work, enabling the prediction and management of future financial risks effectively. This book is a compilation of chapters that discuss the most vital concepts in the field of mathematics and statistics. The topics covered in this extensive book deal with the core subjects of actuarial sciences. This book, with its detailed analyses and data, will prove immensely beneficial to professionals and students involved in this area at various levels.