Approximation Books
Author: Konstantin Zuev
School: Federal University of Technology, Owerri
Department: Science and Technology
Course Code: STA221
Topics: Statistical Inference, summarizing data, simple random sampling, population variance, normal approximation, confidence intervals, inference, Maximum Likelihood, Hypothesis Testing, Wald test, t-test, Permutation Test, Likelihood Ratio Test, Testing Mendel’s Theory, Multiple Testing, Regression Function, Regression Model, Scatter Plots, Simple Linear Regression Model, Ordinary Least Squares, Interval Estimation, Prediction, Graphic Residual Analysis
Author: SRK Iyengar, RK Jain
School: Nnamdi Azikiwe University
Department: Engineering
Course Code: IPE803
Topics: Numerical Methods, Eigen value problems, Newton-Raphson Method, General Iteration Method, Convergence of Iteration Methods, Gauss Elimination Method, Gauss-Jordan Method, interpolation, approximation, Lagrange Interpolation, Newton’s Divided Difference Interpolation, Spline Interpolation, Cubic Splines, numerical differentiation, integration, Trapezium Rule, initial value problem, Romberg Method, Taylor Series Method, Adams-Moulton Methods, Predictor-Corrector Methods, boundary value problems
Probability and Statistics, The Science of Uncertainty, 2nd Edition
Author: Michael Evans, Jeffrey Rosenthal
School: Federal University of Technology, Owerri
Department: Science and Technology
Course Code: STA301
Topics: probability models, Conditional Probability, Venn diagram, Random Variables, Discrete Distributions, Continuous Distributions, Cumulative Distribution Functions, Joint Distributions, Simulating Probability Distributions, expectation, Inequalities, Jensen’s Inequality, Sampling Distributions, Limits, Central Limit Theorem, Monte Carlo Approximations, Normal Distribution Theory, Chi-Squared Distribution, Statistical Inference, statistical model, Data Collection, Finite Populations, Simple Random Sampling, Histograms, Survey Sampling, Descriptive Statistics, Plotting Data, Likelihood Inference, Maximum Likelihood Estimation, Distribution-Free Methods, Bayesian Inference, Bayesian Computations, Optimal Inferences, Optimal Unbiased Estimation, Optimal Hypothesis Testing, quantitative response, Simple Linear Regression Model, Bayesian Simple Linear Model, Multiple Linear Regression Model, Markov Chains, Gambler’s Ruin Problem, Markov Chain Monte Carlo, Martingales, Brownian Motion, Poisson Processes
Introduction to Algorithms, 3rd Edition
Author: Thomas Cormen, Charles Leiserson, Ronald Rivest, Clifford Stein
School: University of Ibadan
Department: Science and Technology
Course Code: CSC242
Topics: Algorithms, Insertion sort, analyzing Algorithms, designing Algorithms, growth of functions, asymptotic notation, maximum-subarray problem, Strassen’s algorithm, Probabilistic Analysis, Randomized Algorithms, hiring problem, Indicator random variables, Heapsort, heaps, heapsort algorithm, Priority queues, quicksort, Radix sort, Counting sort, Bucket sort, Data Structures, Hash Tables, has function, open addressing, Perfect hashing, Data Structures, sorting order statistics, Binary Search Trees, Red-Black Trees, Augmenting Data Structures, Dynamic Programming, Greedy Algorithms, Amortized Analysis, B-Trees, Fibonacci Heaps, van Emde Boas Trees, Graph Algorithms, Minimum Spanning Trees, Single-Source Shortest Paths, All-Pairs Shortest Path, maximum flow, Multithreaded Algorithms, Matrix Operations, linear programming, polynomials, Number-Theoretic Algorithms, String Matching, Computational Geometry, NP-Completeness, Polynomial time, Approximation Algorithms
Introduction to the design and analysis of algorithms ,3rd edition
Author: Anany Levitin, Soumen Mukherjee, Arup Kumar Bhattacharjee
School: University of Ibadan
Department: Science and Technology
Course Code: CSC242
Topics: algorithm design, algorithm analysis, Algorithm Efficiency, Algorithm Efficiency analysis, Brute Force, Exhaustive Search, Decrease-and-Conquer, Divide-and-Conquer, Transform-and-Conquer, Space and Time Trade-Offs, Dynamic Programming, Greedy Technique, Iterative Improvement, Algorithm Power, Algorithmic Problem Solving, Nonrecursive Algorithms mathematical analysis, recursive Algorithms mathematical analysis, Selection Sort, Bubble Sort, Sequential Search, Brute-Force String Matching, Closest-Pair Problems, Convex-Hull Problems, depth-First Search, Breadth-First Search, Insertion Sort, Topological Sorting, Variable-Size-Decrease Algorithms, Decrease-by-a-Constant-Factor Algorithms, binary search, Mergesort, quicksort, Binary Tree Traversals, Strassen’s Matrix Multiplication, Gaussian Elimination, presorting, Balanced Search Trees, Heaps, Heapsort, Horner’s Rule, Binary Exponentiation, Problem Reduction, B-Trees, hashing, Knapsack Problem, Optimal Binary Search Trees, Warshall’s Algorithm, Floyd’s Algorithm, Prim’s Algorithm, Kruskal’s Algorithm, Dijkstra’s Algorithm, Huffman Trees, huffman Codes, Simplex Method, Maximum-Flow Problem, Stable Marriage Problem, Lower-Bound Arguments, Decision Trees, Numerical Algorithms, Backtracking, Approximation Algorithms
Author: Ogunfolu Bamidele
School: University of Ibadan
Department: Science and Technology
Course Code: MAT101
Topics: Differentiation, Rules of differentiation, standard derivatives, limiting values, implicit functions differentiation, higher derivatives, approximation principle, rate of change
Introduction to the mathematics of population
Author: Nathan Keyfitz
School: University of Ibadan
Department: Science and Technology
Course Code: STA342
Topics: population, stationary population model, recurrence equations, population projection, projection matrix, life tables, continous analysis, renewal equation, laplace transform, demographic variables, population time series, interpolation, graduation, finite approximation, population explosion, marriage model, probability models, life table functions, fertility functions, birth process, death process, sex ratio, population distribution, individual behavior, branching theory, population model, mathematical demography, future population, life table
Intuitive Probability and Random Processes Using MATLAB
Author: Steven Kay
School: University of Ilorin
Department: Science and Technology
Course Code: MAT214, MAT335, PHY416, ELE576
Topics: computer simulation, probability, conditional probability, discrete random variables, conditional probability, mass functions, Discrete N-Dimensional Random Variables, Conditional Probability Density Functions, Continuous N-Dimensional Random Variables, Moment Approximations, limit theorem, MATLAB, random process, Wide Sense Stationary Random Process, linear system, Gaussian Random Process, Poisson Random Process, markov chains
The Feynman Lectures on Physics, Vol. III The New Millennium Edition Quantum Mechanics
Author: Richard Feynman, Robert Leighton, Matthew Sands, Michael Gottlieb, Rudolf Pfeiffer
School: University of Ilorin
Department: Science and Technology
Course Code: PHY461, PHY462
Topics: Quantum Behavior, Particle Viewpoints, Probability Amplitudes, Identical Particles, Spin One, Spin One-Half, Hamiltonian Matrix, Ammonia Maser, Two-State Systems, Hyperfine Splitting, Crystal Lattice, Semiconductors, Independent Particle Approximation, Symmetry, Conservation Laws, Angular Momentum, Hydrogen Atom, Periodic Table, Operators, Schrodinger Equation, Superconductivity
Exercises for the Feynman Lectures on Physics
Author: Richard Feynman, Robert Leighton, Matthew Sands, Michael Gottlieb, Rudolf Pfeiffer
School: University of Ilorin
Department: Science and Technology
Course Code: PHY115, PHY214, PHY243, PHY314, PHY152, PHY252, PHY353, PHY354, PHY461, PHY462
Topics: Motion, Probability, Gravitation, Dynamics, Momentum, Vector, force, work, Electromagnetism, Differential Calculus, Vector Fields, Vector Integral Calculus, Electrostatics, Gauss Law, Electric Field, Electrostatic Energy, Dielectrics, Electrostatic Analogs, Magnetostatics, Magnetic Field, Vector Potential, Induced Current, motor, generator, transformer, inductance, induction, maxwell equation, Principle of Least Action, AC Circuit, Cavity Resonator, Waveguide, Electrodynamics, Lorentz Transformation, Field Energy, Field Momentum, Electromagnetic Mass, Tensors, Refractive Index, Magnetism, Ferromagnetism, Magnetic Materials, Elasticity, Elastic Materials, Curved Space, Quantum Behavior, Particle Viewpoints, Probability Amplitudes, Identical Particles, Spin One, Spin One-Half, Hamiltonian Matrix, Ammonia Maser, Two-State Systems, Hyperfine Splitting, Crystal Lattice, Semiconductors, Independent Particle Approximation, Symmetry, Conservation Laws, Angular Momentum, Hydrogen Atom, Periodic Table, Operators, Schrodinger Equation, Superconductivity
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