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Wolfgang Haack

Wolfgang Haack 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 Wolfgang Haack rather than just read about it. In short: Wolfgang Siegfried Haack (24 April 1902 – 28 November 1994) was a German mathematician and aerodynamicist. He in 1941 and William Sears in 1947 independently discovered the Sears–Haack body.

Wolfgang Haack — main illustration
Wolfgang Haack — illustration

Key takeaways

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

Reference excerpt

Wolfgang Siegfried Haack (24 April 1902 – 28 November 1994) was a German mathematician and aerodynamicist. He in 1941 and William Sears in 1947 independently discovered the Sears–Haack body.

Life Wolfgang Haack studied mechanical engineering at the Leibniz University Hannover and mathematics in Jena. He earned his doctorate in 1926 at the Friedrich Schiller University in Jena. After a short study and research period in Hamburg and a job as an assistant at the Technical University of Stuttgart he habilitated in 1929 at the TH Danzig (now Gdańsk). In 1935 he moved to the TH Berlin and in 1937, he followed the call to the TH Karlsruhe. During the Second World War he worked on projectile design. Although the TH Berlin did invite him to work there in 1944, Wolfgang Haack was unable to take up the post because of the war. In 1949 he became the successor to Georg Hamel as Professor of Mathematics and Mechanics at the TU Berlin Department of Mathematics and Mechanics. On his initiative a new Department of Computational Mathematics was founded in 1964, which he held until his retirement in 1968. In 1992 Haack was appointed as an honorary member of the Society for Applied Mathematics and Mechanics. In 1964 Haack was called to the new chair for numerical mathematics, a position he was to hold until being given emeritus status in 1968.

Applied mathematics The interaction of Wolfgang Haack is at the interface between mathematics and mechanics. His research areas ranged from the mechanics of differential geometry and partial differential equations to numerical mathematics. In particular, he dealt with both elliptical and with hyperbolic partial differential equations of the first order. Coming from differential geometry, Pfaff's differential forms were always of special concern to him. As an engineer, he was always focussed on applied research, such as gas dynamics in supersonic flows. During his time in Berlin, he supervised over a dozen dissertations.

Haack minimum drag shapes

During World War II, Haack was involved in Nazi military research. His work on an analytical formula for projectile nose cone shapes that exhibit the lowest air resistance depending on caliber or diameter and length or volume and length of the profile was published in 1941 by the Lilienthal society but was kept secret during World War II. Haack shapes or Sears–Haack bodies are not ogives or constructed from any other geometric figures. The shapes are instead mathematically derived streamlined bodies of revolution for the purpose of minimizing drag. Minimal projectile-shape variations can change the air-resistance and hence the effective range of high powered gun projectiles considerably, especially when they change velocity from the supersonic to the transonic and eventually to subsonic air flow regimes or vice versa during flight. For this kind of applications the Haack shape offers significantly improved characteristics compared to the tangent ogive or even the secant ogive often used for very-low-drag bullets and artillery shells. Only after the end of World War II have Haack shaped projectiles for artillery guns and sniper rifles been produced. Besides that Haack shapes are also applied in modern fast flying aircraft. Fighter aircraft are probably good examples of nose shapes optimized for the transonic region, although their nose shapes are often distorted by other considerations of avionics and inlets. For example, an F-16 nose appears to be a very close match to a Haack shape.

Pioneer of numerical mathematics Haack recognized early on the potential of computers for scientific and industrial research. As early as 1950 he established a working group on electronic calculating machines. He contacted Konrad Zuse with the aim that an electronic calculator would be acquired for the Technische Universität Berlin. The Deutsche Forschungsgemeinschaft assumed that the existing computing machines at Darmstadt, Göttingen and Munich were sufficient for the time being. It was due to his solicitation of donations from the private industry that in 1958 the first computer at the TU Berlin was set up.

References

External links The shoulders on which we stand, 125 Jahre Technische Universität Berlin, Wolfgang Haack (1902-1994) O'Connor, John J.; Robertson, Edmund F., "Wolfgang Haack", MacTutor History of Mathematics Archive, University of St Andrews Wolfgang Haack at the Mathematics Genealogy Project

Illustrations

Wolfgang Haack illustration
Wolfgang Haack: Sears-Haack body
Sears-Haack body

Worked examples

Example 1 — a first encounter with Wolfgang Haack

Start with the simplest possible case. Write down what Wolfgang Haack 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 Wolfgang Haack 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 Wolfgang Haack 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 Wolfgang Haack

In research
Wolfgang Haack 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 Wolfgang Haack 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
Wolfgang Haack is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1902 births, 1994 deaths, 20th-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Wolfgang Haack 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 Wolfgang Haack in 20 minutes

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

Frequently asked questions

What is Wolfgang Haack in simple terms?

Wolfgang Siegfried Haack (24 April 1902 – 28 November 1994) was a German mathematician and aerodynamicist. He in 1941 and William Sears in 1947 independently discovered the Sears–Haack body.

Why does Wolfgang Haack 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 Wolfgang Haack?

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 Wolfgang Haack.

Tags

  • 1902 births
  • 1994 deaths
  • 20th-century German mathematicians
  • Aerodynamicists
  • Ballistics experts
  • German fluid dynamicists
  • Officers Crosses of the Order of Merit of the Federal Republic of Germany
  • Presidents of the German Mathematical Society

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