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DISCRETE MATHEMATICS
RAM PRASAD, RP UNIFIED, RPP, GANIT, THAKUR KISHAN
MATHEMATICS
MATHEMATICS, GANIT, RAM PRASAD, RPP UNIFIED, RP GANIT, THAKUR KISHAN
ABSTARCT ALGEBRA & LINEAR ALGEBRA
Unit-I 0. Historical Background .... 1-4 1. Groups and Their Basic Properties .... 1-65 2. Subgroups .... 66-80 3. Cyclic Groups .... 81-93 4. Coset Decomposition, Lagrange’s and Fermat’s Theorem .... 94-113 5. Normal Subgroups .... 114-125 6. Quotient Groups .... 126-131 Unit-II 7. Homomorphism and Isomorphism of Groups, Fundamental Theorem of Homomorphism .... 132-151 8. Transformation and Permutation Group Sn (n < 5), Cayley’s Theorem .... 152-186 9. Group Automorphism, Inner Automorphism, Group of Automorphisms .... 187-206 Unit-III 10. Definition and Basic Properties of Rings, Subrings .... 207-232 11. Ring Homomorphism, Ideals, Quotient Ring .... 233-259 12. Polynomial Ringh .......
UNIFIED MATHEMATICS ADVANCED CALCULUS
MATHEMATICS, GANIT, RAM PRASAD, RPP UNFIED RP HARI KISHAN, THAKUR
MATHEMATICS - CALCULUS AND DIFFERENTIAL EQUATIONS
MATHEMATICS, GANIT, RP UNIFIED, RAM PRASAD RPP
ELEMENTS OF DISCRETE MATHEMATICS
1. Indian Logic 1-5 2. Relations, Equivalence Classes and Partition of a set 6-25 3. Partial Order Relation and Lattices 26-48 4. Boolean Algebra and Boolean Function 49-89 5. Graphs and Sub-graphs 90-111 6. Walk, Paths, Circuits, Weighted Graphs and Shortest Path 112-150 7. Trees and its Simple Properties 151-189 8. Matrix Representation of a Graph, Cut Sets and Planar Graph 190-216
UNIFIED MATHEMATICS ABSTRACT ALGEBRA
MATHEMATICS, GANIT, RAM PRASAD, RP UNIFIED, RPP
INTEGRAL TRANSFORM
Unit-I Laplace Transform : 1.1 Linearity property 1.2 Existence theorem 1.3 Shifting theorem 1.4 Change of scale property 1.5 Laplace transforms of derivatives and integrals 1.6 Differentiation and integration of the Laplace transforms 1.7 Multiplication and division by 't' 1.8 Periodic function Unit-II Inverse Laplace Transform : 2.1 Linearity property 2.2 Shifting theorem 3.3 Change of scale property 2.4 Inverse Laplace transforms of derivatives and integrals 2.5 Multiplication and division by powers of p 2.6 Convolution theorem 2.7 Heaviside expansion theorem Unit-III Application of Laplace Transform : 3.1 Solution of ordinary differential equations with constant coefficients 3.2 Solution of ordinary differential equations with variable coefficients Unit-IV Fourier Transform : 4.1 Linearity property 4.2 Shifting theorem 4.3 Change of scale property 4.4 Modulation 4.5 Convolution theorem 4.6 Fourier transform of derivatives 4.7 Relations between Fourier transform and Laplace transform 4.8 Parseval's identity for Fourier transform 4.9 Solution of differential equations using Fourier transform
Thakur - Sri Ramakrishna
The story of Sri Ramakrishna, one of the most beloved Hindu spiritual leaders. All religions are true. The important thing is to reach the roof. You can reach it by stone stairs or by wooden stairs or by bamboo steps or by a rope. One should not think, ‘My religion alone is the right path and other religions are false.’ I had to practice each religion for a time – Hinduism, Islam, Christianity. Infinite are the paths and infinite are opinions. - Sri Ramakrishna. In Thakur - Sri Ramakrishna: A Biography, Rajiv Mehrotra explores the ‘challenge and the riddle’ presented by the great mystic who, more than a century after his death, continues to dominate secular Hindu consciousness. Sri...
Sree Sree Thakur
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