mathematics

Johannes Knoblauch

Johannes Knoblauch 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 Johannes Knoblauch rather than just read about it. In short: Johannes Knoblauch (27 August 1855, Halle (Saale) – 22 July 1915, Berlin) was a German mathematician. Biography Johannes Knoblauch, whose father was the physics professor Karl Hermann Knoblauch, studied law, mathematics and physics from 1872 in Halle, Heidelberg and Berlin.

Key takeaways

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

Reference excerpt

Johannes Knoblauch (27 August 1855, Halle (Saale) – 22 July 1915, Berlin) was a German mathematician.

Biography Johannes Knoblauch, whose father was the physics professor Karl Hermann Knoblauch, studied law, mathematics and physics from 1872 in Halle, Heidelberg and Berlin. At the Friedrich Wilhelm University (later renamed the Humboldt University of Berlin) he studied from 1874 to 1878 and from 1880 to 1883 and received his Promotion (Ph.D.) in 1882 and his Habilitation in 1883. His doctoral dissertation "Ueber die Allgemeine Wellenfläche" was supervised by Karl Weierstrass. Knoblauch was a teacher for the academic year 1878–1879 at (his former school) the state Gymnasium in Halle and from 1879 to 1880 at Berlin's Gymnasium zum Grauen Kloster. At the Friedrich Wilhelm University of Berlin, after his Habilitation in 1883 he was appointed Privatdozent. There in 1889 he was appointed professor extraordinarius and retained that academic post until his death. From 1883 to 1885 his friend Heinrich von Stein stayed with him in the Knoblauch-Haus at Poststrasse 23. In 1906/07 Knoblauch worked with Kazimierz Żorawski on new group theoretical methods. Knoblauch was a founding member of the Berlin Mathematical Society. For 13 years he was a member of the editorial board of the Crelle's Journal.

In 1884, he married Luise née Eyssenhardt (1865–1940). The grave of the married couple is in the cemetery Alter Friedhof der St.-Nikolai- und St.-Marien-Gemeinde in the Pankow borough of Berlin.

Selected publications Theorie der algebraischen Curven und Flächen höherer Ordnung. 1885 Einleitung in die allgemeine Theorie der krummen Flächen. 1888 Grundlagen der Differentialgeometrie. 1913 Ueber Biegungscovarianten. 1892. doi:10.1515/crll.1893.111.277 Vorlesungen über die Theorie der Elliptischen Functionen. 1913 Die Biegungs-Invarianten und Kovarianten von gegebener Ordnung. 1906. doi:10.1515/crll.1906.131.247 Ein Bildnis Leonhard Eulers in Privatbesitz. 1911 Die Differentialgleichung der Flächen mit isometrischen Krümmungslinien. 1912

As an editor Mathematische Werke von Karl Weierstrass, edited by Johannes Knoblauch, Georg Hettner, and Rudolf Rothe Abhandlungen-1, Math. Werke. vol. 1. Berlin, 1894 Abhandlungen-2, Math. Werke. vol. 2. Berlin, 1895 Abhandlungen-3, Math. Werke. vol. 3. Berlin, 1903 Vorl. ueber die Theorie der Abelschen Transcendenten, Math. Werke. Bd. 4. Berlin, 1902 Vorl. ueber Variationsrechnung, Math. Werke. vol. 7. Leipzig, 1927

Further reading Rudolf Rothe: Johannes Knoblauch zum Gedächtnis: Nachruf geh. am 31. Juli 1915 im Matemat. Verein an d. Univ. Berlin. Rudolf Rothe: Zur Erinnerung an Johannes Knoblauch, Jahresbericht DMV 1915, Online Martin Breslauer: Besitz des Herrn. Dr. Johannes Knoblauch. 1926

References

Illustrations

Worked examples

Example 1 — a first encounter with Johannes Knoblauch

Start with the simplest possible case. Write down what Johannes Knoblauch 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 Johannes Knoblauch 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 Johannes Knoblauch 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 Johannes Knoblauch

In research: Johannes Knoblauch 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 Johannes Knoblauch 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: Johannes Knoblauch is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1855 births, 1915 deaths, 19th-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Johannes Knoblauch 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 Johannes Knoblauch in 20 minutes

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

Frequently asked questions

What is Johannes Knoblauch in simple terms?

Johannes Knoblauch (27 August 1855, Halle (Saale) – 22 July 1915, Berlin) was a German mathematician. Biography Johannes Knoblauch, whose father was the physics professor Karl Hermann Knoblauch, studied law, mathematics and physics from 1872 in Halle, Heidelberg and Berlin.

Why does Johannes Knoblauch 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 Johannes Knoblauch?

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 Johannes Knoblauch.