| 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 |
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