Böcker av 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* 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.* 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(R).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.

Dieses Buch erleichtert Ihnen den Einstieg in das eigenstandige Losen von Aufgaben zur Algebra, indem es Ihnen nicht einfach nur Aufgaben mit Losungen, sondern vor allem auch Hinweise zur Losungsfindung und ausfuhrliche Motivationen bietet.Damit ist das Werk ideal geeignet zur Prufungsvorbereitung, wenn Sie ein tieferes Verstandnis der Algebra entwickeln wollen oder wenn Sie sich gerne an kniffligen Aufgaben einer faszinierenden mathematischen Disziplin versuchen.In den mehr als 300 Aufgaben unterschiedlicher Schwierigkeitsgrade durchleuchten wir die grundlegenden algebraischen Strukturen Gruppen, Ringe und Korper, wie sie typischerweise in einer Anfangervorlesung fur Mathematikstudierende behandelt werden.Vielfach berufen wir uns in den Losungen auf Satze, Lemmata und Korollare des Buches Algebra, Gruppen -Ringe - Korper von Ch. Karpfinger und K. Meyberg. Der AutorPD Dr. Christian Karpfinger lehrt an der Technischen Universitat Munchen; 2004 erhielt er den Landeslehrpreis des Freistaates Bayern.