Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT

Code	Subject	
MMH0001	The History of Mathematics	

Section	Semester	Hours: C+S+L	Category	Type	
Mathematics - in Romanian
Mathematics - in Hungarian	6	1+0+0	complementary	optional	
Computer Science - in Romanian
Computer Science - in Hungarian
Computer Science - in English	6	1+0+0	complementary	optional	
Mathematics-Computer Science - in Romanian
Mathematics-Computer Science - in Hungarian	6	1+0+0	complementary	optional	
Applied Mathematics	6	1+0+0	complementary	optional	
Information engineering - in English
Information engineering  - in Hungarian	8	1+0+0		optional	

Teaching Staff in Charge	Assoc.Prof. SZENKOVITS Ferenc, Ph.D., fszenko@math.ubbcluj.ro
Lect. MODOI Gheorghe Ciprian, Ph.D., cmodoi@math.ubbcluj.ro	
Aims	Pursueing of the evolution of sciences in general and mathematics in particular; basis of a historic-mathematical culture. Development of the critic spirit in the field and of the respect to the scientific thesaurus.	
Content	I. Introduction. Ancient Near East (Mesopotamia, Egypt). Ancient Indian mathematics. Greek and Hellenistic mathematics. Classical Chinese mathematics
II. Classical Indian mathematics. Islamic mathematics. Medieval European mathematics
III. The Renaissance in mathematics. The algebra of the cubic and quartic equations, the symbolic algebra
IV. The mathematics of the variable quantities (17th century). Logarithms, analytical geometry, differential and integral calculus
V. 18th century. General characteristics, Bernoulli-Euler, the mathematics of the French Revolution, science In the Romanian schools
VI. The modern mathematics. K. F. Gauss, non-Euclidean geometry, famous Romanian mathematicians, new contemporary mathematics, international trends in the developments of the mathematics (academies, journals, congresses), evolution of the computational techniques.
	
Bibliography	1. Both, Nicolae: Istoria matemaicii -- mini curs. Univ. "Babeş-Bolyai" Cluj-Napoca, Facultatea de Matematică şi Informatică, Cluj-Napoca, 1981.
2. Both, Nicolae: Istoria matemaicii. Editura ALC Media Group, Cluj-Napoca, 1999.
3. Filep László: A tudományok királynője (A matematika fejlődése). Typotex Kiadó, Budapest, 2001.
4. Gingyikin, Szemjon Grigorjevics: Történetek fizikusokról és matematikusokról. Typotex Kiadó, Budapest, 2004.
5. Mihăileanu, N.: Istoria matematicii - Antichitatea; Evul mediu; Renaşterea şi secolul al 17-lea. Editura Enciclopedică Română, Bucureşti, 1974.
6. Mihăileanu, N.: Istoria matematicii -- Secolul al 18-lea; Prima jumătate a secolului a 19-lea; Dezvoltarea ulterioară a matematicii. Editura Ştiinţifică şi Enciclopedică, Bucureşti, 1981.
7. Sain Márton: Matematikatörténeti ABC. Tankönyvkiadó, Budapest, 1978.
8. D. I. Struik: A matematika rövid története. Gondolat Kiadó, Budapest, 1958.
9. Toth Alexandru: Istoria matematicii, Univ. "Babeş-Bolyai" Cluj, Facultatea de Matematică şi Informatică, Cluj-Napoca, 1971.	
Assessment	colloquy