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A Textbook of B.Sc. Mathematics Abstract Algebra
This book has been thoroughly revised according to the syllabus of Semester-IV (2nd year's 2nd semester) students of all universities of Andhra Pradesh. The revised syllabus is being adopted by all the universities in Andhra Pradesh, following Common Core Syllabus 2015-16 (revised in 2016) based on CBCS. This book strictly covers the new curriculum for 2nd year's 2nd semester of the theory as well as practical.
This "Textbook of B.Sc Mathematics" for the students studying third year first semester in all universities of Telangana state was first published in the year 1988 and has undergone several editions and many reprints.
"A Textbook of B.Sc. Mathematics [Real Analysis]" strictly covers the new curriculum for Course 4 (2nd year, 2nd semester) of universities in Andhra Pradesh. It covers Real Numbers, Sequences and Infinite Series with p-test, Cauchy's nth root test or Root Test, D'-Alembert's Test or Ratio Test, Alternating Series - Leibnitz Test.
"A Textbook of B.Sc. Mathematics [Linear Algebra]" strictly covers the new curriculum for Course 5 (2nd year, 2nd semester) of universities in Andhra Pradesh. It covers Vector Spaces, Basis and Dimension, Linear Transformation, Fundamentals of Matrices, Characteristic Values and Characteristic Vectors, Cayley-Hamilton Theorem and Orthogonality.
A Textbook of B.Sc. Mathematics Differential & Integral Calculus
This book has been written strictly according to new curriculum for First Year: Second Semester students at all Universities of Andhra Pradesh. It covers Equation of Plane in Terms of Its Intercepts on the Axis, Combined equation of Two Planes, Orthogonal Projection on a Plane, Equation of a line, Angle between a Line and a Plane, The condition that Two Given Lines are Coplanar, Length of the Perpendicular from a Given Point to a Given Line, Definition and Equation of the Sphere, Equation of a Circle, Power of a point, Plane of Contact, Polar Plane, Pole of a Plane, Angle of Intersection of Two Spheres, Coaxial system of spheres, Definitions of a Cone, Vertex, Guiding Curve, Generators, Enveloping Cone of a Sphere, Tangent Lines and Tangent Plane at a Point, Intersection of Two Cones with a Common Vertex etc. The book will guide the students in a proper way and inspire them to sure and brilliant success.
This book strictly covers the new curriculum for Course II (Semester II - 1st year, 2nd semester). In Co-Curricular Activities "Quiz, problems for Problem Solving Sessions and Three-dimensional analytical Solid geometry and its applications" are also included to make the book more comprehensive. Detailed solutions for all the problems in the various exercises of different chapters are given at the end.
"A Textbook of B.Sc. Mathematics [Abstract Algebra] Volume III (Andhra Pradesh)" strictly covers the new curriculum for Semester III (2nd year, 1st semester). It covers types of Groups, Sub-Groups, Homomorphism, Permutations, Cyclic groups, and basic properties of Rings with reference to the revised syllabus with Highlighted topics and theorems included for making the book more comprehensive and co-curricular activities are provided at the end of the book to supplement the curriculum.
Statistical inference carries great significance in model building from both the theoretical and the applications points of view. Its applications to engineering and economic systems, financial economics, and the biological and medical sciences have made statistical inference for stochastic processes a well-recognized and important branch of statistics and probability. The class of semimartingales includes a large class of stochastic processes, including diffusion type processes, point processes, and diffusion type processes with jumps, widely used for stochastic modeling. Until now, however, researchers have had no single reference that collected the research conducted on the asymptotic the...