The spring semester 2021 will certainly take place online until Easter. Exceptions: Courses that can only be carried out with on-site presence. Please note the information provided by the lecturers.

401-1261-07L  Analysis I

SemesterAutumn Semester 2017
LecturersM. Einsiedler
Periodicityyearly recurring course
Language of instructionGerman


AbstractIntroduction to the differential and integral calculus in one real variable: fundaments of mathematical thinking, numbers, sequences, basic point set topology, continuity, differentiable functions, ordinary differential equations, Riemann integration.
ObjectiveThe ability to work with the basics of calculus in a mathematically rigorous way.
LiteratureH. Amann, J. Escher: Analysis I
https://link.springer.com/book/10.1007/978-3-7643-7756-4

J. Appell: Analysis in Beispielen und Gegenbeispielen
https://link.springer.com/book/10.1007/978-3-540-88903-8

R. Courant: Vorlesungen über Differential- und Integralrechnung
https://link.springer.com/book/10.1007/978-3-642-61988-5

O. Forster: Analysis 1
https://link.springer.com/book/10.1007/978-3-658-00317-3

H. Heuser: Lehrbuch der Analysis
https://link.springer.com/book/10.1007/978-3-322-96828-9

K. Königsberger: Analysis 1
https://link.springer.com/book/10.1007/978-3-642-18490-1

W. Walter: Analysis 1
https://link.springer.com/book/10.1007/3-540-35078-0

V. Zorich: Mathematical Analysis I (englisch)
https://link.springer.com/book/10.1007/978-3-662-48792-1

A. Beutelspacher: "Das ist o.B.d.A. trivial"
https://link.springer.com/book/10.1007/978-3-8348-9599-8

H. Schichl, R. Steinbauer: Einführung in das mathematische Arbeiten
https://link.springer.com/book/10.1007/978-3-642-28646-9