Mathematik für die ersten Semester

Wolfgang Mückenheim

Book

Mathematik für die ersten Semester

Wolfgang Mückenheim

Language: German

Published/Copyright: 2015

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This book is in the series

De Gruyter Studium

About this book

This book teaches what is known as higher mathematics – in other words, mathematics that extends beyond simple calculation, which is generally taught in the last years of high school and extended and learned in greater depth in the first semester of college study. It begins with an introduction to the language of mathematics and then covers the themes of arithmetic, algebra, geometry, and infinitesimal calculus.

Mathematics for the start of study
Clear, compact, and marvelously descriptive
For students majoring in technology and the natural sciences

Author / Editor information

Wolfgang Mückenheim, Hochschule Augsburg.

Topics

Frontmatter Publicly Available Download PDF	I
Vorwort Requires Authentication Unlicensed Licensed Download PDF	V
Über Mathematik und Wirklichkeit und dieses Buch Requires Authentication Unlicensed Licensed Download PDF	VII
Inhalt Publicly Available Download PDF	XI
Teil I: Grundlagen
1. Logik Requires Authentication Unlicensed Licensed Download PDF	3
2. Mengen Requires Authentication Unlicensed Licensed Download PDF	8
3. Relationen Requires Authentication Unlicensed Licensed Download PDF	15
Teil II: Arithmetik
4. Die natürlichen Zahlen Requires Authentication Unlicensed Licensed Download PDF	25
5. Erweiterungen der Zahlenmenge Requires Authentication Unlicensed Licensed Download PDF	31
Teil III: Elementare Geometrie
6. Ebene Geometrie Requires Authentication Unlicensed Licensed Download PDF	45
7. Trigonometrie Requires Authentication Unlicensed Licensed Download PDF	51
8. Vektoren Requires Authentication Unlicensed Licensed Download PDF	55
9. Geometrie des ℝ³ Requires Authentication Unlicensed Licensed Download PDF	68
Teil IV: Lineare Algebra
10. Lineare Gleichungssysteme Requires Authentication Unlicensed Licensed Download PDF	81
11. Matrizen Requires Authentication Unlicensed Licensed Download PDF	90
12. Determinanten Requires Authentication Unlicensed Licensed Download PDF	99
13. Transformationen mit Matrizen Requires Authentication Unlicensed Licensed Download PDF	114
14. Iterative Lösung von linearen Gleichungssystemen Requires Authentication Unlicensed Licensed Download PDF	127
Teil V: Algebra und Geometrie
15. Polynome Requires Authentication Unlicensed Licensed Download PDF	133
16. Zweidimensionale quadratische Formen Requires Authentication Unlicensed Licensed Download PDF	144
17. Die Kegelschnitte Requires Authentication Unlicensed Licensed Download PDF	152
18. Sphärische Geometrie Requires Authentication Unlicensed Licensed Download PDF	175
Teil VI: Infinitesimalrechnung
19. Folgen Requires Authentication Unlicensed Licensed Download PDF	183
20. Reihen Requires Authentication Unlicensed Licensed Download PDF	191
21. Stetige Funktionen Requires Authentication Unlicensed Licensed Download PDF	197
22. Funktionenfolgen und Funktionenreihen Requires Authentication Unlicensed Licensed Download PDF	200
Teil VII: Differentialrechnung
23. Der Differentialquotient Requires Authentication Unlicensed Licensed Download PDF	207
24. Die Exponentialfunktion Requires Authentication Unlicensed Licensed Download PDF	214
25. Die Winkelfunktionen Requires Authentication Unlicensed Licensed Download PDF	224
26. Kurvendiskussion Requires Authentication Unlicensed Licensed Download PDF	230
27. Approximation von Funktionen Requires Authentication Unlicensed Licensed Download PDF	234
28. Funktionen mehrerer Variablen Requires Authentication Unlicensed Licensed Download PDF	245
Teil VIII: Integralrechnung
29. Das Integral Requires Authentication Unlicensed Licensed Download PDF	253
30. Integrationsmethoden Requires Authentication Unlicensed Licensed Download PDF	257
31. Kurvenlänge und Kurvenkrümmung Requires Authentication Unlicensed Licensed Download PDF	268
32. Mehrfachintegrale Requires Authentication Unlicensed Licensed Download PDF	270
33. Integraltransformationen Requires Authentication Unlicensed Licensed Download PDF	274
Teil IX: Vektoranalysis
34. Differentiation von Feldern Requires Authentication Unlicensed Licensed Download PDF	289
35. Integralsätze Requires Authentication Unlicensed Licensed Download PDF	299
Teil X: Differentialgleichungen
36. Gewöhnliche Differentialgleichungen Requires Authentication Unlicensed Licensed Download PDF	307
Literatur Requires Authentication Unlicensed Licensed Download PDF	313
Stichwortverzeichnis Requires Authentication Unlicensed Licensed Download PDF	315

Publishing information

Pages and Images/Illustrations in book

eBook published on:

May 19, 2015

eBook ISBN:

9783110377347

Paperback published on:

April 24, 2015

Paperback ISBN:

9783110377330

Edition:

4. Aufl.

Pages and Images/Illustrations in book

Front matter:

16

Main content:

325

https://doi.org/10.1515/9783110377347

eBook ISBN: 9783110377347

Paperback ISBN: 9783110377330

Keywords for this book

Mathematik; Einführung; Algebra

Audience(s) for this book

Students of technology and science including at universities of technology

Safety & product resources

Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Mathematik für die ersten Semester

Overview

About this book

Author / Editor information

Topics

Table of contents

Bibliographic data