Calculus and Linear Algebra in Recipes

Beschreibung

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:

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).

The understanding comes with this book all by itself by doing

All topics of mathematics that users really need in the first semester, explained in a comprehensible way using concrete procedures

Digestible Bites: Each chapter for a lecture double hour

With various hints for MATLAB

In the 2nd edition extended by a chapter on the solution of partial differential equations by means of integral transformations, by a section on the numerical solution of the wave equation as well as by several additional tasks.

Autor*in

Christian Karpfinger

Themen in »Calculus and Linear Algebra in Recipes«

Analysis Differential equations Engineering Mathematics MATLAB Mathematics for user Numerics Exam preparation linear algebra

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"Very helpful for students in their first semesters because the author combines the scope of a collection of formulas with a workbook." Of particular note: "Topological concepts explained with Matlab programs. Looks very nice and helps understanding." (Prof. Dr.-Ing. Walter Fischer, Plastics Engineering, Department of Mechanical Engineering, Landshut University of Applied Sciences)

"Best textbook to convey the complexity of higher mathematics in an understandable way. Especially for engineers or other disciplines where the application of mathematics is in the foreground an absolute must!" (Sophie Grabmann, Institute for Machine Tools and Industrial Management, Technical University of Munich)

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