Geometry, Analysis and Mechanics

By: John Michael Rassias (Editor)

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Hardcover | 1 December 1994

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388 Pages

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22.23 x 16.51 x 1.27

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This review volume consists of articles by outstanding scientists who explore Archimedes' influence on the development of mathematics, particularly on geometry, analysis and mechanics.

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Preface
Archimedes	p. 1
Towards the Ultimate Scheme for Numerical Integration in Multi-Dimensions	p. 5
Efficient Finite Difference Schemes for Multi-Dimensional Nonlinear Diffusion Equations	p. 21
On a Simplified Quasilinear Equation of Elasticity Theory	p. 43
Quantum Stochastic Integral Equations with Exponential Noise	p. 61
The Euler Formula for Polyhedra and Functional Equations	p. 77
Relative Homotopy Groups in Unirational Homotopy Theory	p. 85
Discrete and Non-Discrete Phenomena in the Mixed Problem	p. 101
A WZ Proof of Ramanujan's Formula for [pi]	p. 107
Problems on the n Dimensional Simplex	p. 109
On the Reason Why the Product of Two Negative Integers Must be Positive	p. 113
The Two Squares Theorem	p. 121
Free Surface Flows Induced by Submerged Sources	p. 125
Archimedes and the Invention of Burning Mirrors: An Investigation of Work by Buffon	p. 139
A Characterization of the [actual symbol not reproducible] Function from the Characteristic Polynomial	p. 149
Algorithms and Complexity for Continuous Problems	p. 157
The Well-Posed Tricomi Problem in the Euclidean Plane	p. 189
A New Computation Formula for the Inverse of a Matrix	p. 197
An Archimedes Solution to the Problem: Find the Volume Common to Two Intersecting Right Circular Cylinders of the Same Radius if the Axis of the First Forms an Non-Orthogonal Angle with that of the Second	p. 205
A Problem which Archimedes Would Probably Like	p. 215
Application of Expansion of Poisson Kernel to the Dirichlet Problem for a Degenerate Elliptic Equation in the Extended Space	p. 219
On the Non-Fredholm Oblique Derivative Problem	p. 227
Extreme Position Functionals of Involutive Algebras	p. 243
Fractional Linear Algebra	p. 251
The Global Cauchy Problem for Quasilinear Hyperbolic Equations [actual symbol not reproducible]	p. 269
On the Stability of the Multi-Dimensional Nonlinear Euler-Algebra Functional Equation	p. 275
Multi-Dimensional Landau Inequalities	p. 287
Open Problems in Analysis	p. 355
On the Stability of a Multi-Dimensional Cauchy Type Functional Equation	p. 365
Table of Contents provided by Blackwell. All Rights Reserved.

Geometry, Analysis and Mechanics

At a Glance

Hardcover

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How to return your order

Defective items

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