Calculus and Linear Algebra in Recipes: Terms, phrases and numerous examples in short learning units - Softcover

Karpfinger, Christian

Softcover

ISBN 10: 3662654571 ISBN 13: 9783662654576

Publisher: Springer, 2022

Synopsis

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

· 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 intoapproximately 100 chapters of roughly equal length. Each chapter covers approximately the material of a 90-minute lecture.

· Many tasks, the solutions to which can be found in the accompanying workbook.

· Many problems in higher mathematics can be solved with computers. We always indicate how it works with MATLAB®.

For the present 3rd edition, the book has been completely revised and supplemented by a section on the solution of boundary value problems for ordinary differential equations, by the topic of residue estimates for Taylor expansions and by the characteristic method for partial differential equations of the 1st order, as well as by several additional problems.

About this title

About the Author

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

From the Back Cover

Have you ever cooked a 3-course meal from a recipe? That generally works out pretty well, even if you're not much of a cook. What does this have to do with mathematics? Well, you can solve a lot of math problems recipe-wise, too: 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 in the following topics:

Calculus in one and more variables, linear algebra, vector analysis, theory on differential equations, ordinary and partial, and complex analysis.

We have tried to summarize these recipes as good and also as understandable as possible in this book.

It is often said that one must understand higher mathematics in order to be able to apply it. We show in this book that understanding also comes naturally by doing: no one learns the grammar of a language from cover to cover if he wants to learn a language. You learn a language by reading up a bit on the grammar and then getting going; you have to speak, make mistakes, have mistakes pointed out to you, know example sentences and recipes, work out topics in tidbits, then it works. In higher mathematics it is no different.

Other features of this book include:

• The division of calculus and linear algebra into approximately 100 chapters of roughly equal length. Each chapter covers approximately the material of a 90-minute lecture.
•  Numerous examples.
•  Many tasks, the solutions to which can be found in the accompanying workbook. 
•  Many problems in calculus and linear algebra can be solved with computers. We   always indicate how it works with MATLAB®.
•  Due to the clear presentation, the book can also be used as an annotated collection of formulas with numerous examples.

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

This book is a translation of an original German edition. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com).

Edition details

• Publisher: Springer
• Publication date: 2022
• Language: English
• ISBN 10: 3662654571
• ISBN 13: 9783662654576
• Binding: Paperback
• Edition number: 1
• Number of pages: 1064