Contents

The lecture Analysis III is the final lecture of the cycle Analysis I-III.

• ^{Differentiation and integration in Rn},
• extremes with and without constraints,
• integration on surfaces,
• the integrals of Gauss and Stokes and much more are discussed.

These basics are indispensable for a successful study of mathematics.

Literatur

• H. Amann, J. Escher: Analysis 2, Birkhäuser Verlag, 2008.
• H. Amann, J. Escher: Analysis 3, Birkhäuser Verlag, 2008.
• O. Forster: Analysis 2, Springer Verlag, 2012.
• O. Forster: Analysis 3, Vieweg+Teubner, 2012.
• H. Heuser: Lehrbuch der Analysis 2, Vieweg+Teubner, 2012.
• S. Hildebrandt: Analysis 2, Springer Verlag, 2003.
• J. Jost: Postmodern Analysis, Springer Verlag, 2008.
• K. Königsberger: Analysis 2, Springer Verlag, 2004.
• W. Rudin: Principles of Mathematical Analysis, International Series in Pure & Applied Mathematics, 1976.

und für geschichtlich Interessierte:

• O. Becker: Grundlagen der Mathematik, Verlag Karl Alber, Freiburg, 1964.
• E. Hairer, G. Wanner: Analysis by its History, Springer, 2000.
• V.J. Katz: A History of Mathematics, Harper Collins, New York, 1993.