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Nonlinear Functional Analysis and its Applications: I: Fixed-Point Theorems (Paperback)
  • Nonlinear Functional Analysis and its Applications: I: Fixed-Point Theorems (Paperback)

Nonlinear Functional Analysis and its Applications: I: Fixed-Point Theorems (Paperback)

(author), (translator)
Paperback 909 Pages / Published: 14/10/2011
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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.

Publisher: Springer-Verlag New York Inc.
ISBN: 9781461293231
Number of pages: 909
Weight: 1407 g
Dimensions: 235 x 155 x 47 mm
Edition: 1986 ed.

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