Sets Books
Introduction to the Theory of Sets
Author: Joseph Breuer, Howard Fehr
School: Modibbo Adama University of Technology
Department: Administration, Social and Management science
Course Code: CC205
Topics: Set, Element, Equality of Sets, Subset, Complementary Set, Union, Intersection, Equivalent Set, Cardinal Numbers, finite set, Denumerable Sets, Non-denumerable Sets, Equivalence Theorem, infinite set, Ordinal Numbers, ordered set, Continuous Sets, point set
Foundations of Mathematical Analysis
Author: CE Chidume, Chukwudi Chidume
School: Federal University of Technology, Owerri
Department: Science and Technology
Course Code: MTH301
Topics: real number system, order relation, natural numbers, countable sets, uncountable sets, bounded sets, limits, Monotone Sequences, Sandwich Theorem, limit theorems, Bolzano-Weierstrass Theorem, Limit Superior, Limit Inferior, Cauchy Sequences, continuity, topological notions, One-sided Continuity, Continuity Theorems, Uniform Continuity, Uniform Continuity Theorems, closed sets, compact sets, continuous maps, differentiability, derivative, Rolle’s Theorem, Mean Value Theorem, L’Hospital’s Rule, Nonnegative Real Numbers series, Integral Test, Comparison Test, Limit Comparison Test, Cauchy’s Root Test, D’Alembert’s Ratio Test, Alternating Series, Absolute Convergence, Conditional Convergence, Riemann Integral, Integration, Uniform convergence, Power Series, Equicontinuity, Arzela-Ascoli Theorem
Mathematical Logic On Numbers, Sets, Structures, and Symmetry
Author: Roman Kossak
School: University of Ilorin
Department: Science and Technology
Course Code: CSC408
Topics: first-order login, logical seeing, number, number structures, points, lines, structure of real numbers, set theory, relations, structures, geometry, definable elements, definable constants, minimal structure, order-minimal structures, definable sets, complex numbers, first-order properties, symmetries, logical visibility
Author: Mansur Babagana
School: Bayero University, Kano
Department: Science and Technology
Course Code: MTH1301
Topics: sets, roster form, set builder notation, set equality, null set, subsets, comparability. theorem, universal set, power set, disjoint sets, Venn-Euler diagrams, set operations, complement, comparable sets operation, principle of duality, finite sets, cardinality, inclusion-exclusion principle
Introduction to Real Analysis, 4th Edition
Author: Robert Bartle, Donald Sherbert
School: Nnamdi Azikiwe University
Department: Science and Technology
Course Code: MAT251
Topics: real analysis, sets, functions, mathematical induction, finite sets, infinite sets, real numbers, absolute value, real line, intervals, sequences, series, limit theorems, monotone sequences, Cauchy criterion, limits, limit theorems, continuous functions, uniform continuity, inverse function, monotone functions, derivative, mean value theorem, L' Hospital rule, Taylor's theorem, Riemann integral, Riemann integral functions, fundamental theorem, Darboux integral, approximate integrations, pointwise convergence, uniform convergence, exponential functions, logarithmic function, trigonometric functions, infinite series, absolute convergence, infinite integrals, convergence theorems, continuous functions, metric spaces
Answers Pamphlet for Mathematics for Economists
Author: Carl Simon, Lawrence Blume
School: University of Ibadan
Department: Administration, Social and Management science
Course Code: ECO302
Topics: One-Variable Calculus, Calculus, Exponents and Logarithms, Linear Algebra, Linear Equations, Matrix Algebra, Determinants, Euclidean Spaces, Linear Independence, Limits, Open Sets, Several Variables, Implicit Functions, Quadratic Forms, Definite Matrices, Unconstrained Optimization, Constrained Optimization, Homogeneous functions, Homothetic Functions, Concave Functions, Quasiconcave Functions, Eigenvalues, Eigenvectors, Ordinary Differential Equations, ODE, O.D.E, Subspaces, Matrix, Limits, Compact Sets, Sets, Numbers, Proofs, Trigonometric Functions, Complex Numbers, Integral Calculus, Probability
Author: Sufian Jelili Babatunde, Boro Irene
School: National Open University of Nigeria
Department: Administration, Social and Management science
Course Code: SMS102
Topics: Business Mathematics, sets, subsets, set operations, number sets, functions, annuity, cash flow, sinking fund, mathematical programming, linear programming, calculus, definite integral, indefinite integral, Transcendental functions integral, Simultaneous Equations, Linear Functions, Linear Inequalities, Probability, matrix algebra, Venn-Euler diagrams, Frequentist Probability, Relative Probability, Bayesian Probability, Subjective Probability, Axiomatic Probability, Conditional Probability, Matrix Addition, scalar application, matrix multiplication, Trigonometric Function
A First Course in Linear Algebra
Author: Robert Beezer
School: Edo University
Department: Science and Technology
Course Code: MTH214
Topics: Linear algebra, vector, Reduced Row-Echelon Form, vector operations, linear combinations, spanning sets, linear independence, orthogonality, matrices, matrix operation, matrix multiplication, matrix inverses, vector spaces, subspaces, matrix determinants, Eigenvalues, Eigen vectors, linear transformations, Injective Linear Transformations, Surjective Linear Transformations, Invertible Linear Transformations, vector representations, matrix representations, complex number operations, sets
Discrete mathematics and its applications ,8th edition
Author: Kenneth Rosen
School: University of Ibadan
Department: Science and Technology
Course Code: CSC242
Topics: Discrete mathematics, logic, sets, functions, sequences, matrices, algorithms, Number theory, cryptography, induction, recursion, counting, discrete probability, advanced counting techniques, counting techniques, Linear Recurrence Relations, modelling computation, Finite-State Machines, relations, graphs, trees, boolean algebra, modelling computation, Boolean Functions, Logic Gates, Minimization of Circuits.Tree Traversal, Spanning Trees, Minimum Spanning Trees, Graph Models, Graph Terminology, Graph Isomorphism, Connectivity, Euler path, Hamilton Path, Shortest-Path Problems, Planar Graphs, Graph Coloring, Representing Relations, Equivalence Relations, Probability Theory, Bayes Theorem, variance, Pigeonhole Principle, permutation combination, binomial coefficient, Recursive Algorithms, Program Correctness, Divisibility, Modular Arithmetic, Integer Representations, Set Operations, Cardinality of Sets
Author: Carl Simon, Lawrence Blume
School: University of Ibadan
Department: Administration, Social and Management science
Course Code: ECO341
Topics: ECONOMIC THEORY, CONSUMER CHOICE, One-Variable Calculus, LINEAR FUNCTIONS, NONLINEAR FUNCTIONS, COMPUTING DERIVATIVES, Calculus, DIFFERENTIABILITY, CONTINUITY, Chain Rule, Exponents, Logarithms, LINEAR SYSTEMS, Matrix, Matrices, Euclidean Spaces, VECTORS, PLANES, Linear Independence, Limits, Open Sets, Sets, Functions, DIRECTIONAL DERIVATIVES, GRADIENTS, LINEAR CONSTRAINTS, BORDERED MATRICES, Optimization, CONDITIONS, Homogeneous Functions, Homothetic Functions
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