These are papers about individual pieces of scientific work that I have done and that are freely available for download, copy and distribution. Some of them are either motivated by the scientific books that I have written, or establish results used in them.

- Numerical Solution for the Mean-Field Critical Curves of the SO(N) Polynomial Models
- On the Convergence of a Certain Class of
Fourier Series

This one is in fact about the proposition and proof of a certain mathematical theorem. - On the Sums of Inverse Even Powers of Zeros
of Regular Bessel Functions

This one is also about the proposition and proof of a certain mathematical theorem. - Gaussian-Perturbative Calculations with a
Homogeneous External Source

This one is about calculations of observables on SO(N) Polynomial Models. - Fourier Theory on the Complex Plane

This one (five, actually) presents a new point of view regarding Fourier series and real functions. - Low-Pass Filters, Fourier Series and Partial
Differential Equations

This one introduces certain low-pass filters as tools for dealing with divergent

Fourier series, in the context of boundary value problems. - Numerical Tests of Center Series

This one presents numerical tests showing the high speed of convergence of some center series. - Real Functions for Physics

This one introduces a general classification of generalized real functions,

involving the concepts of combed functions and ragged functions. - Complex Analysis of Real Functions

This one (seven, actually, so far) presents a new point of view

regarding the use of complex analysis to study real functions. - Extension of the Schwarzschild Solution to
the Case of Localized Fluid Matter

This one presents a new class of solutions of the Einstein gravitational field equations

of General Relativity, and analyses some of their general properties. - Exact Solution of the Einstein Field
Equations for a Spherical Shell of Fluid Matter

This one presents a three-parameter family of exact solutions of the Einstein gravitational field

equations of General Relativity, some of which are presented explicitly and analytically, in terms

of elementary functions. - Complete Solution of the Einstein Field
Equations for a Spherical Distribution of Polytropic Matter

This one presents a three-parameter family of almost exact solutions of the Einstein gravitational

field equations of General Relativity, for a polytropic gaseous fluid; a single function, that has a very

simple behavior, has to be determined numerically, in terms of which everything else follows. - Place-Holder

These are older pieces of work, not published in the traditional media, and not yet present elsewhere in this site. In most cases they are waiting for time and oportunity for technical improvements and/or improvements in the conceptual explanations within the text.

- Quantum Field Theory and Space-Time Geometry

Thesis submitted to the Physics Institute of the University of São Paulo as part of the requirements for obtaining the title of ``Livre-Docente'' (Privatdocent). - Field Quantization and Metrical Geometry on a
Simplicial Lattice

A shorter, more concise paper about the work immediately above. It introduces the concept of the tangent lattice. - Place-Holder