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Otto Forster

Otto Forster is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Otto Forster rather than just read about it. In short: Otto Forster (born 8 July 1937 in Munich) is a German mathematician. Education and career Forster received his Diplom in 1960 from Ludwig-Maximilians-Universität München (LMU).

Otto Forster — main illustration
Otto Forster — illustration

Key takeaways

  • Otto Forster belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Otto Forster to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Otto Forster from memory before moving on to harder problems.

Reference excerpt

Otto Forster (born 8 July 1937 in Munich) is a German mathematician.

Education and career Forster received his Diplom in 1960 from Ludwig-Maximilians-Universität München (LMU). There he received his doctorate in 1961. His thesis Banachalgebren stetiger Funktionen auf kompakten Räumen (Banach algebras of continuous functions on compact spaces) was supervised by Karl Stein. In 1965 Forster also completed his habilitation in Munich. After spending the academic year 1966–1967 at the Institute for Advanced Study and the academic year 1967–1968 as a substitute professor at the University of Göttingen, he became a full professor at the University of Regensburg in 1968. In 1968–1969 he was a visiting professor at the University of Geneva. In 1975, he moved to the University of Münster. Since 1982 he has been a professor at the Mathematical Institute of the Ludwig-Maximilians-Universität München. Even after his retirement in summer 2005, he still regularly offers lectures for advanced students. In 1970, he was an invited speaker with talk Topologische Methoden in der Theorie Steinscher Räume (Topological methods in the theory of Stein spaces) at the International Congress of Mathematicians in Nice. In 1984 he became a member of the Bavarian Academy of Sciences and Humanities. Forster's research deals mainly with complex analysis, but also with questions of algebraic geometry, analytic number theory, and algorithmic number theory. His program ARIBAS, an interpreter with a Pascal-like syntax, offers powerful arbitrary-precision arithmetic and various library functions based on such computational arithmetic. ARIBAS, available under the GNU General Public License, also serves as the basis for the algorithms discussed in Forster's book Algorithmische Zahlentheorie (Algorithmic number theory). He wrote two appendices for the 2nd edition of Dale Husemöller's book Elliptic Curves. He discovered the Forster–Swan theorem.

Selected publications

Articles Forster, Otto (1967). "Zur Theorie der Steinschen Algebren und Moduln". Mathematische Zeitschrift. 97 (5): 376–405. doi:10.1007/BF01112815. S2CID 121327739. Forster, Otto (1967). "Some remarks on parallelizable Stein manifolds". Bulletin of the American Mathematical Society. 73 (5): 712–717. doi:10.1090/S0002-9904-1967-11839-1. Forster, Otto (1970). "Plongements des variétés de stein". Commentarii Mathematici Helvetici. 45: 170–184. doi:10.1007/BF02567324. S2CID 124446287. Forster, O. (1974). "Funktionetheoretische Hilfsmittel in der Theorie der kommutativen Banach-Algebren". Jahresbericht der Deutschen Mathematiker-Vereinigung. 76: 1–17. Bănică, C.; Forster, O. (1982). "Complete intersections in Stein manifolds". Manuscripta Mathematica. 37 (3): 343–356. doi:10.1007/BF01166226. S2CID 121260434. Elencwajg, Georges; Forster, O. (1982). "Vector bundles on manifolds without divisors and a theorem on deformations" (PDF). Annales de l'Institut Fourier. 32 (4): 25–51. doi:10.5802/aif.893. Forster, Otto (1984). "Complete intersections in affine algebraic varieties and Stein spaces". Complete Intersections. Lecture Notes in Mathematics. Vol. 1092. pp. 1–28. doi:10.1007/BFb0099355. ISBN 978-3-540-13884-6. Bǎnicǎ, C.; Forster, O. (1986). "Multiplicity structures on space curves" (PDF). Contemp. Math. 58: 47–64. Forster, Otto; Ohsawa, Takeo (1987). "Complete Intersections with Growth Conditions". Algebraic Geometry, Sendai, 1985. pp. 91–104. doi:10.2969/aspm/01010091. ISBN 978-4-86497-068-6. S2CID 133482242. Forster, O. (15 June 2011). "The theorem of Gauß-Bonnet in complex analysis". In Behara, Minaketan; Fritsch, Rudolf; Lintz, Rubens G. (eds.). Mathematics and Theoretical Physics. Walter de Gruyter. pp. 451–458. ISBN 978-3-11-088672-6.

Books with Knut Knorr: Konstruktion verseller Familien kompakter komplexer Räume. Vol. 705. Springer-Verlag. 2006. ISBN 9783540355076. Analysis 1. Differential- und Integralrechnung einer Veränderlichen. 12th edition. Springer, 2016, ISBN 978-3-658-11545-6. Analysis 2. Differentialrechnung im Rn. Gewöhnliche Differentialgleichungen. 11th edition. Springer, 2017, ISBN 978-3-658-19411-6. Analysis 3. Maß- und Integrationstheorie, Integralsätze im Rn und Anwendungen. 8th edition. Springer, 2017, ISBN 978-3-658-16746-2. Algorithmische Zahlentheorie, 2nd edition. Springer, 2015, ISBN 978-3-658-06539-3. Riemannsche Flächen. Springer, 1977; English translation: Lectures on Riemann surfaces. Graduate Texts in Mathematics. Springer, 1991, ISBN 3-540-90617-7; 2012 reprint

References

External links Literature by and about Otto Forster in the German National Library catalogue "Prof. Dr. Otto Forster". Mathematisches Institut, Ludwig-Maximilians-Universität München.

Illustrations

Otto Forster: Otto Forster in Mathematisches Forschungsinstitut Oberwolfach 1987
Otto Forster in Mathematisches Forschungsinstitut Oberwolfach 1987

Worked examples

Example 1 — a first encounter with Otto Forster

Start with the simplest possible case. Write down what Otto Forster claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Otto Forster before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Otto Forster ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Otto Forster

In research
Otto Forster appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Otto Forster in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Otto Forster is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1937 births, 20th-century German mathematicians, 21st-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Otto Forster outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Otto Forster in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Otto Forster means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Otto Forster out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Otto Forster in simple terms?

Otto Forster (born 8 July 1937 in Munich) is a German mathematician. Education and career Forster received his Diplom in 1960 from Ludwig-Maximilians-Universität München (LMU).

Why does Otto Forster matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Otto Forster?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Otto Forster.

Tags

  • 1937 births
  • 20th-century German mathematicians
  • 21st-century German mathematicians
  • Academic staff of LMU Munich
  • Academic staff of the University of Münster
  • Academic staff of the University of Regensburg
  • German mathematical analysts
  • LMU Munich alumni
  • Living people
  • Members of the Bavarian Academy of Sciences

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