## Scientific Program

### Historical Lectures

In addition to the scientific program ISMP 2012 will offer an extensive
coverage of the history of optimization. Five special history lectures are
scheduled reporting on work of Euler, Leibniz, Weierstrass, Minkowski, and the
inventor of the electronic computer Konrad Zuse. The lecture
titles and abstracts are below. All lectures will take place in room H 1012.

**Monday, 17:00 - 17:50 h, H 1012**

Horst Zuse

**The origins of the Computer** [...]

Chair: Martin Grötschel

**Abstract:**

Many outstanding scientists and managers were necessary to get the computer to the point of development that we know today. Konrad Zuse (1910-1995) is almost unanimously accepted as the inventor of the first working, freely programmable machine using Boolean logic and with binary floating point numbers. This Machine - called Z3 - he did finish in May 1941 in his small workshop in Berlin-Kreuzberg.

In this presentation the achievements of Charles Babbage (1823), the development of the secret COLOSSUS-Project (UK, 1943), Howard Aiken’s Mark I (USA), and the ENIAC (USA).

Konrad Zuses contributions to computer development are presented as well, with many surprising pictures and videos. It is not well known, that Konrad Zuse founded, in 1949, a computer company that produced 251 computers of a value of 51 Million Euros. It was the first company which did produce computers in a commercial way.

**Tuesday, 17:00 - 17:50 h, H 1012**

Eberhard Knobloch

**Gottfried Wilhelm Leibniz - Universal genius and outstanding mathematician** [...]

Chair: Günter M. Ziegler

**Abstract:**

The universal genius Gottfried Wilhelm Leibniz (1646-1716)

contributed to nearly all scientific disciplines and left the

incredibly huge amount of about 200 000 sheets of paper that are kept

in the Leibniz Library of Hannover. About 4000 of them regarding

natural sciences, medicine, technology have been digitized and are

freely available in the internet:, http://ritter.bbaw.de. Less than

one half of them have been published up to now. Hence we know for

example - for the time being - only about one fourth of his

mathematical production. The lecture will give a short survey of his

biography and mainly deal with the following six aspects: 1. Leibniz

as an organizer of scientific work: his presidency of the Berlin

Academy of Sciences; 2. His rigorous foundation of infinitesimal

geometry; 3. Leibniz as the inventor of the differential and

integral calculus; 4. His conception of and his contributions to a

general combinatorial art (symmetric functions, number theory,

insurance calculus); 5. His proposals for engineering improvements in

mining; 6. Leibniz's invention of the first real four-function

calculating machine.

**Wednesday, 17:00 - 17:50 h, H 1012**

Günter M. Ziegler

**Leonhard Euler: Three strikes of a genius** [...]

Chair: George L. Nemhauser

**Abstract:**

We will explore three of Euler's genius contributions: - The seven bridges of Königsberg: How a problem of "Recreational Mathematics" led to the creation of Graph Theory. - The Basel problem: A healthy dose of serious numerical computing on the way to a zeta(2). - The polyhedron formula: Tracing the polyhedron formula from Stockholm to the Berne mountains.

**Thursday, 17:00 - 17:25 h, H 1012**

Juergen Sprekels

**Karl Weierstrass and optimization** [...]

Chair: Richard Warren Cottle

**Abstract:**

The work of Karl Weierstrass, the outstanding Berlin mathematician who was one of leading mathematical researchers of the second half of the nineteenth century, had a deep impact on the theory of optimization and on variational calculus. In this talk, we review some aspects of his contributions to the field.

**Thursday, 17:30 - 17:55 h, H 1012**

Martin Grötschel

**Hermann Minkowski and convexity** [...]

Chair: Richard Warren Cottle

**Abstract:**

Convexity of a set or function is a property that plays an important role in optimization. In this lecture a brief survey of the history of the notion of convexity and, in particular, the role Hermann Minkowski played in it, will be given.