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UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN MATHEMATICS
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)
SYLLABUS
Semester VI - Paper XIII - Algebraic Structures
Duration of Examination: 3 hrs
Maximum Marks: 100
Credits: 4
Vector Spaces:
Definition and examples, linear dependence and independence,dual spaces,inner product spaces
Linear Transformations:
Algebra of linear transformations, characteristic roots, matrices, canonical forms, triangular forms.
Treatment and content as in "Topics In Algebra"-l.N.Herstein-Wiley Eastern ltd.
chapter 4-sections 4.1, 4.2, 4.3, 4.4.
chapter 6-sections 6.1, 6.2, 6.3, 6.4.
Reference Books:
1. University Algebra-N.S.Gopalakrishnan-New age international publications,Wiley Eastern ltd.
2. First course in Algebra-John B. Fraleigh,Addison Weslej.
3. Text Book of Algebra-R.Balakrishnan and N.Ramabadran,Vikas publishing Co.
4. Algebra-S.Arumugam New gamma publishing house,PalayarnkottaL
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