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List of things named after Carl Friedrich Gauss

List of things named after Carl Friedrich Gauss 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 List of things named after Carl Friedrich Gauss rather than just read about it. In short: Carl Friedrich Gauss (1777–1855) is the eponym of all of the topics listed below. There are over 100 topics all named after this German mathematician and scientist, all in the fields of mathematics, physics, and astronomy.

List of things named after Carl Friedrich Gauss — main illustration
List of things named after Carl Friedrich Gauss — illustration

Key takeaways

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

Reference excerpt

Carl Friedrich Gauss (1777–1855) is the eponym of all of the topics listed below. There are over 100 topics all named after this German mathematician and scientist, all in the fields of mathematics, physics, and astronomy. The English eponymous adjective Gaussian is pronounced .

Mathematics

Algebra and linear algebra

Geometry and differential geometry

Number theory

Cyclotomic fields Gaussian period Gaussian rational Gauss sum, an exponential sum over Dirichlet characters Elliptic Gauss sum, an analog of a Gauss sum Quadratic Gauss sum

Analysis, numerical analysis, vector calculus and calculus of variations

Complex analysis and convex analysis Gauss–Lucas theorem Gauss's continued fraction, an analytic continued fraction derived from the hypergeometric functions Gauss's criterion – described on Encyclopedia of Mathematics Gauss's hypergeometric theorem, an identity on hypergeometric series Gauss plane

Statistics

Gauss–Kuzmin distribution, a discrete probability distribution Gauss–Markov process Gauss–Markov theorem Gaussian copula Gaussian measure Gaussian correlation inequality Gaussian isoperimetric inequality Gauss's inequality Gauss-Helmert model

Gaussian function and topics named for it

Knot theory

Gauss code – described on website of University of Toronto Gauss linking integral (knot theory)

Other mathematical areas Gauss's algorithm for determination of the day of the week Gauss's Easter algorithm Gaussian brackets – described on WolframMathWorld Gaussian's modular arithmetic Gaussian integer, usually written as Z[i] Gaussian prime Gaussian logarithms (also known as addition and subtraction logarithms) Gauss congruence for integer sequences

Cartography

Gauss–Krüger coordinate system Gaussian grid

Physics

Optics Gauss lens Double-Gauss lens Gaussian optics

Classical mechanics Gauss's principle of least constraint For orbit determination in orbital mechanics: Gauss's law for gravity Gaussian gravitational constant Gaussian year Gauss's method

Quantum mechanics Gaussian orbital

Electromagnetism

Gaussian units gauss, the CGS unit for magnetic flux density Degaussing, to demagnetize an object Gauss rifle or coilgun Gauss's law for magnetism Gaussian surface Gauss's law, giving the relationship between flux through a closed surface and the enclosed source Gauss gun

Awards and recognitions Carl Friedrich Gauss Prize, a mathematics award Gauss Lectureship, a mathematical distinction The Gauss Mathematics Competition in Canadian junior high schools, an annual national mathematics competition administered by the Centre for Education in Mathematics and Computing

Other things named for him

Biology

Gaussia, a palm genus described by Hermann Wendland with the then new species Gaussia princeps, collected by Charles Wright in western Cuba. Named in "memoriam astronomi Caroli Friderici Gauss". Gaussia, a genus of copepods

Informatics Gaussian, a computational chemistry software program GAUSS, a matrix programming language for mathematics and statistics

Place names and expedition named in his honour

Terrestrial

The Gauss expedition, the first German expedition to Antarctica (1901–1903) The ship Gauss, used in the Gauss expedition to the Antarctic Gaussberg in Antarctica, an extinct volcano discovered by the Gauss expedition Mount Gauss, in Antarctica Gauss Peninsula, East Greenland Gaussberg, a hill in Braunschweig Celestial

Crater Gauss on the Moon Asteroid 1001 Gaussia

Institutions and buildings named in his honour The Carl-Friedrich-Gauss Fakultät of Braunschweig University of Technology Several schools in Germany named after Gauss Several buildings named "Gauss Haus" or "Gauss Building": Gauss Tower, an observation tower in Dransfeld, Germany The Gauss Building at the University of Idaho (College of Engineering) Gauss Haus, an NMR center at the University of Utah The 'Gauss House', a common room in the University of Sussex Mathematical and Physical Sciences department. A dormitory building is named after him in University of California, Santa Cruz, in Crown College

Monuments, busts, and memorial plaques Gauss Monuments were erected in Brunswick and Göttingen (the last together with Weber). Busts of Gauss were placed in the Walhalla hall of fame near Regensburg and in the German Research Centre for Geosciences in Potsdam. Several places where Gauss has stayed in Germany are marked with plaques.

Other commemorations Germany issued three postage stamps honoring Gauss, one in 1955 on the hundredth anniversary of his death and two others in 1977, the 200th anniversary of his birth.

References

Illustrations

List of things named after Carl Friedrich Gauss: Carl Friedrich Gauss (1777–1855)
Carl Friedrich Gauss (1777–1855)
List of things named after Carl Friedrich Gauss: Various Gaussian curvatures
Various Gaussian curvatures
List of things named after Carl Friedrich Gauss: Gauss map
Gauss map
List of things named after Carl Friedrich Gauss: Gaussian moat
Gaussian moat
List of things named after Carl Friedrich Gauss: Comparison between 2-point Gaussian and trapezoidal quadrature.
Comparison between 2-point Gaussian and trapezoidal quadrature.

Worked examples

Example 1 — a first encounter with List of things named after Carl Friedrich Gauss

Start with the simplest possible case. Write down what List of things named after Carl Friedrich Gauss 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 List of things named after Carl Friedrich Gauss 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 List of things named after Carl Friedrich Gauss 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 List of things named after Carl Friedrich Gauss

In research
List of things named after Carl Friedrich Gauss 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 List of things named after Carl Friedrich Gauss 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
List of things named after Carl Friedrich Gauss is common in secondary-school and first-year university syllabi. It links to neighbouring topics Carl Friedrich Gauss, Lists of things named after mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for List of things named after Carl Friedrich Gauss 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 List of things named after Carl Friedrich Gauss in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what List of things named after Carl Friedrich Gauss 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 List of things named after Carl Friedrich Gauss out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is List of things named after Carl Friedrich Gauss in simple terms?

Carl Friedrich Gauss (1777–1855) is the eponym of all of the topics listed below. There are over 100 topics all named after this German mathematician and scientist, all in the fields of mathematics, physics, and astronomy.

Why does List of things named after Carl Friedrich Gauss 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 List of things named after Carl Friedrich Gauss?

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 List of things named after Carl Friedrich Gauss.

Tags

  • Carl Friedrich Gauss
  • Lists of things named after mathematicians

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