Course

MA605 - Topology I

Course No: 
MA605
Credit: 
8
Approval: 
2018
PG-Core
Syllabus: 

Topological spaces, Continuous maps between topological spaces, product topology,Quotient spaces, Connectedness, Compactness, Path connected spaces, separation axioms,Tychono spaces, Urysohn's lemma and metrization theoremDierentiable functions on Rn, Jacobian criteria, Taylor's theorem, Inverse function theorem,Implicit function theorem, Maxima-minima, Lagrange multiplier

Reference Books: 
  1. Armstrong, Basic Topology, Springer, 1983
  2. Munkres, Topology, Pearson Education, 2005.
  3.  J. Dugundji, Topology
  4. J. J. Duistermaat, J. A. C. Kolk: Multidimensional Real Analysis I: Dierentiation
  5. K. Janich, Topology, Springer
  6. John L Kelley: General Topology (free download: https://archiveorg/details/GeneralTopology)
  7.  F. Simmons: Introduction to Topology and Modern Analysis
  8. S.Kumaresan: A Course in Dierential Geometry and Lie Groups,TRIM series
  9.  T. M. Apostol: Calculus: Multi-Variable Calculus and Linear Algebra With Applications to DierentialEquations And Probability- Vol 2.

Contact us

School of Mathematical Sciences

NISERPO- Bhimpur-PadanpurVia- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

Corporate Site - This is a contributing Drupal Theme
Design by WeebPal.