Algebra & Trigonometry by A.R. Vasishtha
Requirements: .PDF reader, 5 MB
Overview: SYLLABUS- ALGEBRA & TRIGONOMETRY, Section A
Group Theory: Algebraic Structure, Definition of Group with examples and simple
properties. Order of a group. Subgroups and its properties. Transformation,
Permutation, Symmetric Set, Permutation Group, Cyclic Permutation,
Transposition, Even and odd permutations, The alternating group An, Cyclic Group
and Order of an element of a group, Torsion free group, Torsion group or periodic
group, Mixed group. Homomorphism, Isomorphism, Transference of group
structure theorem. Cayley’s theorem. Kernel of Homomorphism, Cosets,
Lagrange’s Deduction of Lagrange’s theorem. Normal subgroups, Simple Group,
Quotient groups. The fundamental theorem of homomorphism.
Algebraic Equations: Transformation of equations. Descarte’s rule of signs.
Solution of cubic equations by Cardan’s method. Solution of biquadratic equations
Summation of trigonometrical series by C+ iS and Difference method, Sum of
Series of Hyperbolic Function.
Genre: Non-Fiction > Educational
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