This book presents the fundamentals of numerical methods in a clear and thorough manner. The material is presented with an algorithmic focus. The theoretical foundations are introduced first to justify a numerical method. Subsequently, the procedure is formulated in a way that makes its implementation as a computing program straightforward. An electronic version of this book is planned. PowerPoint templates for instructors are available for free through the publisher's online service. On the author's homepage for the book, you will find numerous program interfaces that enable the solution of basic numerical problems.