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राष्ट्रीय विज्ञान शिक्षा एवंअनुसंधान संस्थान
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  2. MA605 - Topology I

MA605 - Topology I

By admin_sms on Thu, 05/01/2017 - 22:58
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.

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