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Johann Christian Martin Bartels

Johann Christian Martin Bartels 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 Johann Christian Martin Bartels rather than just read about it. In short: Johann Christian Martin Bartels (12 August 1769 – 20 December [O.S. 7 December] 1836) was a German mathematician. He was the tutor of Carl Friedrich Gauss in Braunschweig and the educator of Nikolai Lobachevsky at the University of Kazan in Russia.

Johann Christian Martin Bartels — main illustration
Johann Christian Martin Bartels — illustration

Key takeaways

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

Reference excerpt

Johann Christian Martin Bartels (12 August 1769 – 20 December [O.S. 7 December] 1836) was a German mathematician. He was the tutor of Carl Friedrich Gauss in Braunschweig and the educator of Nikolai Lobachevsky at the University of Kazan in Russia.

Biography Bartels was born in Braunschweig, in the Duchy of Brunswick-Lüneburg (now part of Lower Saxony, Germany), the son of pewterer Heinrich Elias Friedrich Bartels and his wife Johanna Christine Margarethe Köhler. In his childhood he showed a great interest in mathematics. In 1783 he was employed as an assistant to the teacher Büttner in the Katherinenschule in Braunschweig. He became acquainted with Carl Friedrich Gauss there and encouraged his talent and recommended him to the Duke of Brunswick who awarded Gauss a fellowship to the Collegium Carolinum (now Technische Universität Braunschweig). A friendship developed between Gauss and Bartels and they corresponded between 1799 and 1823. From 23 August 1788 he was a visitor at the Collegium Carolinum in Braunsschweig. On 23 October 1791 Bartels studied mathematics under Johann Friedrich Pfaff in Helmstedt and Abraham Gotthelf Kästner in Göttingen. In the winter semester of 1793/1794 he studied Experimental Physics, Astronomy, Meteorology and Geology under Georg Christoph Lichtenberg. In 1800 he worked in Switzerland as Professor of Mathematics in Reichenau (Canton Graubünden). In 1801 he was active in the cantonal school in Aarau. He married Anna Magdalena Saluz from Chur in 1802. The University of Jena promoted him to the Faculty of Philosophy in 1803. In 1807 he was invited to join the University of Kazan by the founder Stepan Jakowlewitsch Rumowski (1734–1812), and went there in 1808 where he was appointed to the chair of Mathematics. During his twelve years tenure he lectured on the History of Mathematics, Higher Arithmetic, Differential and Integral Calculus, Analytical Geometry and Trigonometry, Spherical Trigonometry, Analytical Mechanics and Astronomy. During this time he taught Nikolai Ivanovich Lobachevsky. In 1821 he moved to the University of Dorpat, now Tartu, Estonia, where he founded the Centre for Differential geometry. He remained at Dorpat until his death. He was appointed Privy Councillor in 1823. From 1826 he was a corresponding member of the St. Petersburg Academy of Science. He was also awarded high Russian honours. He died in Dorpat.

Family His daughter, Johanna Henriette Francisca Bartels (1807–1867), married Friedrich Georg Wilhelm von Struve in 1835, after the death of Struve's first wife. She bore Struve six children, the best known of which was Karl de Struve (1835–1907), who served successively as Russian ambassador to Japan, the United States, and the Netherlands.

Notes

References Siegfried Gottwald et al.: Lexikon bedeutender Mathematiker, Leipzig 1990 Alexander Halameisär, Helmut Seibt: Nikolai Iwanowitsch Lobatschewski, Leipzig 1978 Ülo Lumiste, "Martin Bartels as researcher: his contribution to analytical methods in geometry", Historia mathematica 24 (1997), 46–65 doi:10.1006/hmat.1997.2123 Hans-Joachim Heerde: Das Publikum der Physik - Lichtenbergs Hörer, Göttingen 2006 Olaf Welding et al.: Deutschbaltisches Biographisches Lexikon, Cologne 1970

External links Acquaintance with Gauss in Brunswick (in German) Correspondence with Gauss (in German) O'Connor, John J.; Robertson, Edmund F., "Johann Christian Martin Bartels", MacTutor History of Mathematics Archive, University of St Andrews

Illustrations

Johann Christian Martin Bartels illustration

Worked examples

Example 1 — a first encounter with Johann Christian Martin Bartels

Start with the simplest possible case. Write down what Johann Christian Martin Bartels 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 Johann Christian Martin Bartels 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 Johann Christian Martin Bartels 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 Johann Christian Martin Bartels

In research
Johann Christian Martin Bartels 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 Johann Christian Martin Bartels 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
Johann Christian Martin Bartels is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1769 births, 1836 deaths, 18th-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Johann Christian Martin Bartels 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 Johann Christian Martin Bartels in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Johann Christian Martin Bartels 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 Johann Christian Martin Bartels out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Johann Christian Martin Bartels in simple terms?

Johann Christian Martin Bartels (12 August 1769 – 20 December [O.S. 7 December] 1836) was a German mathematician. He was the tutor of Carl Friedrich Gauss in Braunschweig and the educator of Nikolai Lobachevsky at the University of Kazan in Russia.

Why does Johann Christian Martin Bartels 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 Johann Christian Martin Bartels?

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 Johann Christian Martin Bartels.

Tags

  • 1769 births
  • 1836 deaths
  • 18th-century German mathematicians
  • 19th-century German mathematicians
  • 19th-century mathematicians from the Russian Empire
  • Differential geometers
  • People from the Duchy of Brunswick
  • Scientists from Braunschweig

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