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1. Axiomatic Theory of Distributions

Author

da Costa, Newton C. A. and Segundo, J. A. Baêta

Subjects
Mathematics - General Mathematics, 46Fxx
Abstract

In this monograph, very simple axiomatic definitions to the L. Schwartz' concepts of distribution and derivative of a distribution are formulated. Beyond this, a kind of generalization of that concepts is propose and corresponding axiomatic definitions are presented., Comment: 341 pages

Published
2021

2. Arnol’d’s 1974 Problems

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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3. Economics and Ecology

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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4. Fast-Growing Functions

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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5. Axiomatizations in ZFC

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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6. Hypercomputation

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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7. Forcing and Gravitation

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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8. From Classical to Quantum

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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9. Where the Action Is

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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10. Gauge Field Theories

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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11. Hamilton’s Equations

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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12. Classical Mechanics

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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13. Lagrangian Formulation

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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14. General Relativity

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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15. Electromagnetism

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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16. Preliminary

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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17. Variational Calculus

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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18. Hamilton–Jacobi Theory

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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19. Field Theory

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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20. Special Relativity

Author

da Costa, Newton C. A., Antonio Doria, Francisco, Bueno, Otávio, Editor-in-Chief, Brogaard, Berit, Editorial Board Member, Chakravartty, Anjan, Editorial Board Member, French, Steven, Editorial Board Member, Dutilh Novaes, Catarina, Editorial Board Member, Rowbottom, Darrell P., Editorial Board Member, Ruttkamp, Emma, Editorial Board Member, Miller, Kristie, Editorial Board Member, da Costa, Newton C. A., and Doria, Francisco Antonio

Published
2022
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21. Is God Paraconsistent?

Author

da Costa, Newton C. A., Beziau, Jean-Yves, Bilimoria, Purushottama, Editor-in-Chief, Coseru, Christian, Series Editor, Garfield, Jay, Associate Editor, Bloor, Sherah, Assistant Editor, Rayner, Amy, Assistant Editor, Wong, Peter Yih Jiun, Assistant Editor, Bhogal, Balbinder, Editorial Board Member, Chapple, Christopher, Editorial Board Member, Dalmiya, Vrinda, Editorial Board Member, Flood, Gavin, Editorial Board Member, Frazier, Jessica, Editorial Board Member, Higgins, Kathleen, Editorial Board Member, Hutchings, Patrick, Editorial Board Member, Joy, Morny, Editorial Board Member, Kersten, Carool, Editorial Board Member, King, Richard, Editorial Board Member, Maindair, Arvind-Pal, Editorial Board Member, Nath, Rekha, Editorial Board Member, Patil, Parimal, Editorial Board Member, Patton, Laurie, Editorial Board Member, Phillips, Stephen, Editorial Board Member, Prabhu, Joseph, Editorial Board Member, Rao, Annupama, Editorial Board Member, Vaidya, Anand J., Editorial Board Member, Silvestre, Ricardo Sousa, editor, Göcke, Benedikt Paul, editor, and Béziau, Jean-Yvez, editor

Published
2020
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24. Hierarchies

Author

da Costa, Newton C. A., primary and Antonio Doria, Francisco, additional

Published
2021
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25. Preliminary

Author

da Costa, Newton C. A., primary and Antonio Doria, Francisco, additional

Published
2021
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42. On the Stability of Our Universe

Author

Berman, Marcelo Samuel and da Costa, Newton C. A.

Subjects
Physics - General Physics
Abstract

We argue that the Robertson-Walker's Universe is a zero-energy stable one, even though it may possess a rotational state besides expansion., Comment: 10 pages. Submitted

Published
2010
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43. Time is dispensable in thermodynamics

Author

da Costa, Newton C. A. and Sant'Anna, Adonai S.

Subjects
Mathematical Physics
Abstract

We use Padoa's principle of independence of primitive symbols in axiomatic systems in order to show that time is dispensable in continuum thermodynamics, according to the axiomatic formulation of Gurtin and Williams. We also show how to define time by means of the remaining primitive concepts of Gurtin and Williams system. Finally, we introduce thermodynamics without any explicit reference to time and briefly discuss some physical and philosophical consequences of our main results., Comment: LaTeX, 11 pages, no figures. This is a preliminary version before we submit it for publication in a journal

Published
2001

44. The mathematical role of time and space-time in classical physics

Author

da Costa, Newton C. A. and Sant'Anna, Adonai S.

Subjects
General Relativity and Quantum Cosmology
Abstract

We use Padoa's principle of independence of primitive symbols in axiomatic systems in order to discuss the mathematical role of time and space-time in some classical physical theories. We show that time is eliminable in Newtonian mechanics and that space-time is also dispensable in Hamiltonian mechanics, Maxwell's electromagnetic theory, the Dirac electron, classical gauge fields, and general relativity., Comment: LaTeX, 12 pages, no figures. This is a new version

Published
2001

45. The Atiyah-Singer index theorem and the gauge field copy problem

Author

Sant'Anna, Adonai S., da Costa, Newton C. A., and Doria, Francisco A.

Subjects
Mathematical Physics, Mathematics - K-Theory and Homology
Abstract

K-theory allows us to define an analytical condition for the existence of `false' gauge field copies through the use of the Atiyah-Singer index theorem. After establishing that result we discuss a possible extension of the same result without the help of the index theorem and suggest possible related lines of work., Comment: LaTeX, 7 pages, no figures

Published
1999
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50. The Logic of Complementarity

Author

da Costa, Newton C. A., Krause, Décio, van Benthem, Johan, editor, Heinzmann, Gerhard, editor, Rebuschi, Manuel, editor, and Visser, Henk, editor

Published
2006
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