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Functional Anlaysis (MATH- 308)

Functional Anlaysis (MATH- 308)

Functional Analysis is an abstrat Branch of Mathematics That originated from Classical analysis.This course enable students to learn concept of  Metric space  and different spaces and their completeness .Moreover Concept of  Noram space and Banch space Hilbert Space . Fixed point  and Banch Fixed pint Theorem.

Recommended Books:

1) kreysizg E. Intriduction Functional Analysia with application ( Ed.NY: John wiley,1989)

2) Friedman.A Foundation of Modern Analysis. ( Ed First Dover, 1982)

3) Rudin E. Functional Analysis.( Ed First.NY: McGraw Hill,1973)

Course Material

01 Week 1: Introduction to Metric Space
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02 Week 2: Inqeualitiesc in Metric space
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03 Week 3: open set ,close set,Neighbourhood
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04 Week 4: convergence ,Cauchy sequence,completeness.
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05 Week 5: Completeness Proofs
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06 Week 6: completeness proofs
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07 Week 7: Vector space and Sub space.
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08 Week 8: Mid Term
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09 Week 9: Norm Space,Banach Space.
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10 Week 10:Finite Dimensional Normed space and Subspace.
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11 Week 11: Linear operator
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12 Week 12:Bounded and Continuous Linear operator.
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13 Week 13: Linear Functionals And Normed Space of operator.Dual space.
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14 Week 14:Inner Product Space And Hilbert Space
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15 Week 15: GramSchmidth Process
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16 Week: 16 Orthogonal Complement
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17 Week 17 Banch Fixed point Theorem:
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18 Week 18:
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  • Total Lessons 18
  • Department Mathematics(SCB)
  • About Visit Profile
  • Teacher Baqir Hussain
Other Courses by Baqir Hussain
  • Introduction to Mathematics(URCM-5101)
  • Calculus-II(MATH 5103)
  • Algebra-II(MATH-309)
  • Number Theory(MATH-403)
  • Calculus-1(MATH -5101)
  • Calculus-1(MATH -6161)
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