Overview
- The understanding comes with this book completely by itself by doing
- All topics of mathematics, which users in the first semester really need
- Digestible Bites: Each Chapter for a Lecture Double Hour
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About this book
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.
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Keywords
Table of contents (91 chapters)
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Front Matter
Reviews
"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)
"An excellent textbook. The individual chapters fit very well into logical lecture units and are didactically excellent."Particularly noteworthy: " Structuring of the chapters" (Prof. Dr. Christian Möller, Faculty 03, University of Applied Sciences Munich)
"An excellentbook: the recipe-like presentation of the solution flow together with the examples enables students to quickly check whether they can apply the theoretical content." (Prof. Dr.-Ing. Wolfgang Stelzle, Osnabrück University of Applied Sciences)
Authors and Affiliations
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.
Bibliographic Information
Book Title: Calculus and Linear Algebra in Recipes
Book Subtitle: Terms, phrases and numerous examples in short learning units
Authors: Christian Karpfinger
DOI: https://doi.org/10.1007/978-3-662-65458-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag GmbH Germany, part of Springer Nature 2022
Softcover ISBN: 978-3-662-65457-6Published: 09 November 2022
eBook ISBN: 978-3-662-65458-3Published: 08 November 2022
Edition Number: 1
Number of Pages: XXVI, 1038
Number of Illustrations: 243 b/w illustrations
Topics: Linear and Multilinear Algebras, Matrix Theory, Ordinary Differential Equations, Partial Differential Equations