Alain M. Robert is Honorary Professor at
University of Neuchâtel
The University of Neuchâtel (UniNE) is a French-speaking university based in Neuchâtel, Switzerland. The university has four faculties (schools) and more than a dozen institutes, including arts and human sciences, natural sciences, law and eco ...
. Robert received his PhD from the University of Neuchâtel in 1967, where he studied under Roger Bader. His dissertation ''Quelques Questions d'Espaces Vectoriels Topologiques'' concerned
topological vector space
In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures investigated in functional analysis.
A topological vector space is a vector space that is als ...
s.
Selected publications
*Robert, Alain M.: A course in ''p''-adic analysis. Graduate Texts in Mathematics, 198. Springer-Verlag, New York, 2000.
::
MathSciNet
MathSciNet is a searchable online bibliographic database created by the American Mathematical Society in 1996. It contains all of the contents of the journal ''Mathematical Reviews'' (MR) since 1940 along with an extensive author database, links ...
reviewer
Daniel Barsky wrote: "Robert's book is aimed at an intermediate level between the very specialized monographs and the elementary texts. It has no equal in the marketplace, because it covers practically all of p-adic analysis of one variable (except the rationality of the zeta function of an algebraic variety over a finite field and the theory of p-adic differential equations) and contains numerous results that were accessible only in articles or even in preprints
here
::This book was cited over 300 times at
Google Scholar
Google Scholar is a freely accessible web search engine that indexes the full text or metadata of scholarly literature across an array of publishing formats and disciplines. Released in beta in November 2004, the Google Scholar index includes p ...
in 2012.
*Robert, Alain: Introduction to the representation theory of compact and locally compact groups. London Mathematical Society Lecture Note Series, 80. Cambridge University Press, Cambridge-New York, 1983.
*Robert, Alain: Elliptic curves. Notes from postgraduate lectures given in Lausanne 1971/72. Lecture Notes in Mathematics, Vol. 326. Springer-Verlag, Berlin-New York, 1973.
*Gertsch, Anne; Robert, Alain M.: Some congruences concerning the Bell numbers.
Simon Stevin
Simon Stevin (; 1548–1620), sometimes called Stevinus, was a Flemish mathematician, scientist and music theorist. He made various contributions in many areas of science and engineering, both theoretical and practical. He also translated vario ...
3 (1996), no. 4, 467–475.
*Robert, Alain:
Nonstandard analysis
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard way to resolve these debates is to define the operations of calculus using (ε, δ)-definitio ...
. Translated from the French by the author. A Wiley-Interscience Publication. John Wiley & Sons, Inc., New York, 1988.
::This book was cited 80 times at
Google Scholar
Google Scholar is a freely accessible web search engine that indexes the full text or metadata of scholarly literature across an array of publishing formats and disciplines. Released in beta in November 2004, the Google Scholar index includes p ...
in 2012.
*Robert, Alain M.: ''Linear Algebra: Examples and Applications.'' World Scientific Publishing Company, Singapore, 2005
See also
*
Influence of non-standard analysis Abraham Robinson's theory of nonstandard analysis has been applied in a number of fields.
Probability theory
"Radically elementary probability theory" of Edward Nelson combines the discrete and the continuous theory through the infinitesimal appro ...
References
External links
Listing at University of Neuchâtel's Institut de mathématiques
{{DEFAULTSORT:Robert, Alain M.
Swiss mathematicians
Year of birth missing (living people)
Living people
University of Neuchâtel alumni