Professor Malvina Baica Ph.D. Homepage

 

Research Overview:

Professor Baica's published contributions span Algebraic Number Theory, Universal Algebra, and Paratrigonometry, utilizing the Baica's Generalized Euclidean Algorithm (BGEA) as an Euler system for algebraic number theory.

Featured Monographs & Manuscripts:

• Fermat's Last Theorem
  Baica, Malvina. An algebraic number theory approach utilizing the Baica Generalized Euclidean Algorithm (BGEA).
• The Binary Goldbach Problem
  Baica, Malvina, and Aldo Peretti. Analytic and algebraic explorations on the representation of even integers as sums of two primes.
• The Paratrigonometry and Its Applications
  Baica, Malvina, and Mircea Cârdu. Formulation of non-standard and generalized trigonometric metrics where Euclidean trigonometry is realized as a special case.
• Baica's Generalized Euclidean Algorithm (BGEA) and Euler Systems
  Baica, Malvina. Investigations in algebraic units, periodic algorithms, and algebraic number fields.

Journal Papers & Proceedings:

• Baica, M. Trigonometric Identities and Algorithm Development, Abstracts of the American Mathematical Society.
• Baica, M. Diophantine Equations and Generalized Continued Fractions, Bulletin of Mathematical and Physical Sciences.
• Baica, M. Periodic Complex Algorithms and Number Field Units, International Journal of Mathematics and Mathematical Sciences.