TOPOLOGY UNVEILED: UNDERSTANDING CONTINUOUS FUNCTIONS AND THEIR ROLE IN COMPUTATIONAL MATHEMATICS

Main Article Content

Dr. M. NALINI

Abstract

The field of computational mathematics relies heavily on the principles of topology, especially the concept of continuous functions. This research article delves into the fundamentals of topology and explores the crucial role that continuous functions play in computational mathematics. By unraveling the theoretical foundations and practical applications, we aim to provide a comprehensive understanding of how topology contributes to the advancement of computational methods.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Article Details

How to Cite
NALINI, D. M. . (2017). TOPOLOGY UNVEILED: UNDERSTANDING CONTINUOUS FUNCTIONS AND THEIR ROLE IN COMPUTATIONAL MATHEMATICS. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 8(2), 398–399. https://doi.org/10.61841/turcomat.v8i2.14337
Section
Research Articles

References

Munkres, J. R. (2000). Topology (2nd ed.). Prentice Hall.

Lee, J. M. (2011). Introduction to Topological Manifolds. Springer.

Rudin, W. (1976). Principles of Mathematical Analysis. McGraw-Hill.

Kelley, J. L. (1955). General Topology. Springer.

Hatcher, A. (2002). Algebraic Topology. Cambridge University Press.

Dieudonné, J. (1960). A History of Algebraic and Differential Topology, 1900-1960. Birkhäuser.

Engelking, R. (1989). General Topology. Heldermann Verlag.

Milnor, J. (1965). Topology from the Differentiable Viewpoint. Princeton University Press.

Bott, R., & Tu, L. W. (1982). Differential Forms in Algebraic Topology. Springer.

Gamelin, T. W., & Greene, R. E. (1999). Introduction to Topology. Dover Publications.