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Nonlinear Functional Analysis and Its Applications

I: Fixed-Point Theorems

Eberhard Zeidler
Livre relié | Anglais
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Description

The greatest mathematicians, such as Archimedes, Newton, and Gauss, always united theory and applications in equal measure. Felix Klein There exists the remarkable possibility that one can master a subject mathemati- cally, without really understanding its essence. Albert Einstein Don't give us numbers: give us insight! A contemporary natural scientist to a mathematician Numerous questions in physics, chemistry, biology, and economics lead to nonlinear problems; for example, deformation of rods, plates, and shells; behavior of plastic materials; surface waves of fluids; flows around objects in fluids or gases; shock waves in gases; movement of viscous fluids; equilibrium forms of rotating fluids in astrophysics; determination of the shape of the earth through gravitational measu- ments; behavior of magnetic fields of astrophysical objects; melting processes; chemical reactions; heat radiation; processes in nuclear reactors; nonlinear oscillation in physics, chemistry, and biology; 2 Introduction existence and stability of periodic and quasiperiodic orbits in celestial mechanics; stability of physical, chemical, biological, ecological, and economic processes; diffusion processes in physics, chemistry, and biology; processes with entropy production, and self-organization of systems in physics, chemistry, and biology; study of the electrical potential variation in the heart through measure- ments on the body surface to prevent heart attacks; determining material constants or material laws (e. g.

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Contenu

Nombre de pages :
909
Langue:
Anglais

Caractéristiques

EAN:
9780387909141
Date de parution :
13-12-85
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
165 mm x 236 mm
Poids :
1406 g

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