A Comprehensive Study of Successive Differentiation and Its Applications in Mathematics and Science

Authors

  • Yashvanth N  Lecturer, Department of Science, Government Polytechnic, Kushalnagar, Karnataka, India
  • Nandeesha B R  Lecturer, Department of Science, Government Polytechnic, Holenarasipura, Karnataka, India

Keywords:

Successive Differentiation, Taylor Series, Higher-Order Derivatives, Differential Equations, Physics, Engineering, Optimization

Abstract

Successive differentiation, the process of taking higher-order derivatives of a function, plays a pivotal role in the analysis of complex systems and functions in mathematics. This article explores the concept of successive differentiation, its theoretical foundations, and its applications in physics, engineering, and optimization. The paper discusses methods of calculating higher-order derivatives, the significance of Taylor and Maclaurin series expansions, and how successive differentiation aids in solving differential equations, analyzing motion, and optimizing systems. Additionally, we present real-world applications where successive differentiation is crucial, including in the study of fluid dynamics, wave propagation, and quantum mechanics.

References

  1. Boyd, S., & Vandenberghe, L. (2004). Convex Optimization. Cambridge University Press.
  2. Evans, L. C. (2010). Partial Differential Equations (2nd ed.). American Mathematical Society.
  3. Griffiths, D. J. (2017). Introduction to Quantum Mechanics (2nd ed.). Pearson.
  4. Hildebrand, F. B. (2015). Introduction to Numerical Analysis (2nd ed.). Dover Publications.
  5. Stewart, J. (2015). Calculus: Early Transcendentals (8th ed.). Brooks/Cole.
  6. Boyce, W. E., & DiPrima, R. C. (2017). Elementary Differential Equations and Boundary Value Problems (10th ed.). Wiley.

International Journal of Scientific Research in Science and Technology

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Published

2017-02-25

Issue

Volume 3, Issue 1, January-February-2017

Section

Research Articles

License

Copyright (c) IJSRST

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Yashvanth N, Nandeesha B R "A Comprehensive Study of Successive Differentiation and Its Applications in Mathematics and Science " International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 3, Issue 1, pp.888-890, January-February-2017.