The book "Numerical Methods and Computational Algorithms in Applied Mathematics" offers a comprehensive introduction to the computational algorithms for solving significant problems in applied mathematics. It is divided into ten chapters that systematically cover various areas of mathematics. Each chapter addresses different algorithms for solving similar problems and provides a clear structure that enables readers to identify the corresponding program modules and understand their application. At the end of each chapter, there are brief descriptions of the respective program components that explain their usage possibilities. The concluding chapter is dedicated to the practical application of the developed program modules and provides detailed information about the content and structure of the package, as well as usage instructions. Additionally, the book includes three appendices that summarize important formulas, theorems, and their program implementations.