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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Nonlinear Functional Analysis and its Applications
• Subtitle: I: Fixed-Point Theorems
• Author: Eberhard Zeidler
• Language: English
• Binding: Hardback
• Number of pages: 909
• EAN: 9780387909141
• ISBN: 9780387909141
• ID: 07184217
• Publisher: Springer-Verlag New York Inc.
• Weight: 1556 g
• Dimensions: 168 × 241 × 62 mm
• Date of publishing: 06. November 1998

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