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Debnath, L. – International Journal of Mathematical Education in Science and Technology, 2013
This article deals with a short historical introduction to determinants with applications to the theory of equations, geometry, multiple integrals, differential equations and linear algebra. Included are some properties of determinants with proofs, eigenvalues, eigenvectors and characteristic equations with examples of applications to simple…
Descriptors: Equations (Mathematics), Geometry, Calculus, Algebra
Ho, Weng Kin; Ho, Foo Him; Lee, Tuo Yeong – International Journal of Mathematical Education in Science and Technology, 2012
This article gives an elementary proof of the famous identity [image omitted]. Using nothing more than freshman calculus, the present proof is far simpler than many existing ones. This result also leads directly to Euler's and Neville's identities, as well as the identity [image omitted].
Descriptors: Calculus, Mathematics Instruction, Mathematical Logic, Mathematical Concepts
Fay, Temple H. – International Journal of Mathematical Education in Science and Technology, 2002
This paper compliments two recent articles by the author in this journal concerning solving the forced harmonic oscillator equation when the forcing is periodic. The idea is to replace the forcing function by its Fourier series and solve the differential equation term-by-term. Herein the convergence of such series solutions is investigated when…
Descriptors: Calculus, Mathematical Concepts, Mathematics Education, Equations (Mathematics)
Martinez, F.; Vinuesa, C. – International Journal of Mathematical Education in Science and Technology, 2002
This note presents some simple examples illustrating the differences between the concepts of continuity, existence of partial derivatives and differentiability. (Contains 2 tables and 10 figures.)
Descriptors: Mathematics, Calculus, Mathematical Logic, Validity