Introduction

This book provides a clear and easy-to-understand introduction to higher mathematics with numerous examples. The author shows how to solve typical problems in a recipe-like manner and divides the material into short, easily digestible learning units.

Analogy with Cooking

Have you ever cooked a 3-course meal based on a recipe? That generally works quite well, even if you are not a great cook. What does this have to do with mathematics? Well, you can solve a lot of math problems recipe-wise: Need to solve a Riccati's differential equation or the singular value decomposition of a matrix? Look it up in this book, you'll find a recipe for it here.

Topics Covered

Recipes are available for problems from the field of:

Calculus in one and more variables

Linear algebra

Vector analysis

Theory on differential equations, ordinary and partial

Theory of integral transformations

Function theory

Features of the Book

Other features of this book include:

• The division of Higher Mathematics into approximately 100 chapters of roughly equal length. Each chapter covers approximately the material of a 90-minute lecture.
• Numerous exercises and solutions
• Many problems in higher mathematics can be solved with computers. We always indicate how it works with MATLAB®.

Edition Information

This 2nd English edition has been completely revised and numerous examples, illustrations, explanations and further exercises have been added.