Calculus and Linear Algebra in Recipes

Calculus and Linear Algebra in Recipes

Terms, theorems and numerous examples in short learning units

von Christian Karpfinger

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.

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. 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.

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®.

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

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.

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. 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.

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®.

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

Prof. Dr. Christian Karpfinger teaches at the Technical University of Munich; in 2004 he was awarded the State Teaching Award of the Free State of Bavaria.

Highlights

• With this book, understanding comes naturally through doing All topics of mathematics, which users in the first semester really need Digestible bites: Each chapter is for a double-hour lecture

Über den Autor

Prof. Dr. Christian Karpfinger teaches at the Technical University of Munich; in 2004 he was awarded the State Teaching Award of the Free State of Bavaria.