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Topics in Mathematics Algebra and Trigonometry
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ISBN
:
9788190856553
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Publisher
:
USP
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Subject
:
Mathematics
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Pages
:
458
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Year
:
2008
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325.0
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Description
Table Of Contents : PART A : ALGEBRASECTION I1*.Mapping, Equivalence Relations and Partitions2*.Congruence Moduloer n3 .Matrices4 .Rank, Row Rank and Column Rank of a Matrix and Linear Equations5 .Characteristics Roots and Characteristic VectorsSECTION II6 .Relations between the Roots and Co-efficient of an Equation7 .Transformations of Equations8 .Descarte's Rule of Signs9 .Solutions of General Cubic and Bi-quadratic EquationsSECTION III10 .Groups11 .Subgroups12 .Normal Subgroups13 .Cyclic Groups14 .Permutation Groups15 .RingsPART B : TRIGONOMETRYSECTION IV16 .DeMoivre's Theorem and its Applications17 .Expansion of Trigonometric Functions and Logarithms of a Complex Quantity18 .Direct Circular and Hyperbolic Functions19 .Inverse Circular and Inverse Hyperbolic Functions and Gragory Series20 .Summation of Series Examination Papers*Chapters 1 and 2 are included in section III instead of section I for MDU students.
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