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Book Details

Theory of Equations (Mathematics Paper-III)

Theory of Equations (Mathematics Paper-III)

Published by SIA Publishers and Distributors (P) Ltd.

Course Code : B.Sc III-Sem (O.U)
ISBN : 9700112234035
Author : SIA PUBLISHERS
University : Osmania University
Regulation : 2021
Categories : Arts and Science
Format : ico_bookPDF (DRM Protected)
Type :

eBook

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Description :

SYLLABUS

 Unit–I

General Properties of Polynomials Graphic representation of a polynomial – Maxima and minima values of polynomials – Theorems relating to the real roots of equations – Existence of a root in the general equation – Imaginary roots – Theorem determining the number of roots of an equation – Equal roots – Imaginary roots enter equations in pairs –Descartes’ rule of signs for positive roots – Descartes’ rule of signs for negative roots.

Unit–II

Roots and Coefficients of Equations Relations between the roots and coefficients – Theorem – Applications of the theorem – Depression of an equation when a relation exists between two of its roots – The cube roots of unity – Symmetric functions of the roots–examples.

Note : Theory of Equations (Mathematics Paper-III, SEC-1) B.Sc III-Sem (O.U) As per the CBCS 2019-20 Syllabus, Latest 2020-21 Edition

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