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This Textbook of B.Sc. Mathematics is written for the students studying Third year Andhra
Pradesh. The revised syllabus is being adopted by all universities in Andhra Pradesh,
following Common Core Model Curriculum from the academic year 2015-2016(revised
in 2016). The book strictly covers the new Curriculum for Semester V (3rd Year, 5th
• The book is based as per pattern CBCS.
• Objective type questions covering multiple choice type and fill in the blanks type
questions useful for M.Sc. entrance tests are given with answers at the end of each
• Detailed solution for all problems in the various exercises of different chapters are
given at the end.
1. Vector Spaces, 2. Basis and Dimension, 3. Linear Transformation, 4. Vector Space
Isomorphism, 5. Problems for Practical's, 6. Fundamentals of Matrices, 7. Characteristics
Values and Characteristics Vectors, 8. Cayley-Hamilton Theorem, 9. Inner Product
Spaces, 10. Orthogonality, 11. Problem for Practical's & Objective Questions, Key to "A
Textbook of B.Sc. Mathematics - Vol. - III"
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