Abstract Algebra by MAT211 PDF free download

Topics: Abstract Algebra, intergers, functions, groups, polynomials, commutative rings, fields, Congruences, intergers modulo, equivalence relations, permutations, subgroups, isomorphisms, cyclic groups, permutation groups, homomorphism, cosets, factor groups, Ring Homomorphism, quotient fields, Algebraic Elements, geometric constructions

Topics: abstract Algebra, linear Algebra, Sets, Cartesian products, Hausdorff maximality principle, groups, Homomorphisms, permutations, rings, domains, fields, Polynomial rings, Chinese remainder theorem, Boolean rings, matrices, matrix rings, Systems of equations, Determinants, Summands, transpose principle, Nilpotent homomorphisms, Jordan canonical form, Eigenvalues, Euclidean domains, jordan blocks, Jordan canonical form

Topics: Digital Logic Circuit Analysis, Digital Logic Circuit Design, computing, digital systems, number systems, positional notation, arithmetic, binary arithmetic, octal arithmetic, hexadecimal arithmetic, base conversions, signed number representation, computer codes, numeric codes, error detection codes, correction codes, Boolean algebra, Venn diagram, Duality, switching functions, truth tables, switching circuits, electronic logic gates, combinational circuits, algebraic methods, combinational logic circuits, computer aided design, design cycle, digital circuit modelling, design synthesis, logic simulation, Karnaugh maps, Quine-McCluskey tabular minimization method, Petrick's algorithm, computer aided minimization of switching functions. Modular combinational logic, Decodes, encoders, decoder circuit structures, encoders, multiplexers, demultiplexers, data distributors, adder circuits, comparators, semi custom logic devices, logic array circuits, field-programmable logic arrays, programmable read-only memory, programmable array logic, sequential devices, sequential circuits, memory devices, latches, flip-flops, timing circuits, modular sequential logic shift registers, counters, serial adder unit, serial accumulators, parallel accumulators, multiple-sequence counters, digital fractional rate multipliers, synchronous sequential circuit models, synchronous sequential circuits, registered programmable logic device, programmable gate arrays, sequential circuit design, logic circuit testing, digital logic circuit testing, combinational logic circuit testing, sequential logic circuit testing, electronic slot machine, keyless auto entry system

Topics: Digital Logic Design, Kirchhoff's law, Thevenin's theorem, Norton's theorem, circuit theory, semiconductors, transistors, digital logic, integrated circuits, digital logic gates, logic gates, combinational logic design, logic circuit diagram, truth table, Boolean expression, Boolean Algebra, Karnaugh Maps, Quine-McCluckskey, standard combinational logic circuits, ombinational logic circuits, combinational logic, binary adder, binary subtractor, digital comparator, multiplexer, digital encoder, binary decoder, sequential logic circuit, Flip-Flop, S-R Flip-Flop, JK Flip-Flop, T Flip-Flop, D-type Flip-Flop, registers, counters, computer codes, binary codes, binary-coded decimal, excess-3 code, gray code, error detection, error correction, digital error, parity bit, Hamming codes, Cyclic redundancy check

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

Topics: Abstract Algebra, Binary Operations, groups, Symmetric Groups, subgroups, Isomorphism, Cosets, Lagrange's Theorem, Ring Theory, Quaternions, Circle Group, logic, Elementary Number Theory, partitions, Equivalence Relations, functions, Elementary Number Theory, Partitions, Equivalence Relations

Topics: relations, set, set operation, integer, modular arithmetic, groups, factor groups, homomorphism, direct products, finite abelian groups, automorphism, morphism, symmetric group, alternating group, sylow theorem, rings, factor rings, isomorphism, domains, Irreducible Polynomials, vector spaces, field extensions, public key cryptography, straightedge, compass constructions

Topics: digital design, binary numbers, digital system, number-base conversions, octal numbers, hexadecimal numbers, signed binary numbers, binary codes, binary storage, binary logic, Boolean Algebra, logic gates, Boolean functions, logic operations, digital logic gates, integrated circuits, gate level minimization, truth table, combinational logic, decoders, encoders, multiplexers, behavioral modeling, logic simulation, Synchronous Sequential Logic, sequential circuits, flip flops, registers, counters, shift registers, ripple counters, Synchronous Counters, memory, programmable logic, random access memory, memory decoding, error detection, error correction, read only memory, programmable array logic, Sequential Programmable Devices, Algorithmic State Machines, sequential binary multiplier, control logic

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

Topics: Modern Algebra, rational numbers, fields, polynomials, real numbers, complex numbers, groups, vectors, vector spaces, algebra of matrices, linear groups, determinants, canonical forms, Boolean Algebre, Lattice, Transfinite arithemetic, rings, ideal, Algrbraic Number fields, Galois theory

Topics: Polynomials, rational functions, linear equations, simultaenous equation, quadratic equations, remainder theorem, factor theorem, inequalities, domain range, partial fractions, curve sketching, mathematical induction, permutations, combinations, binomial theorem, sequence, series, telescoping series, limits, sums to infinity, complex numbers, Aragand diagram, De Moivre's theorem, matrices, determinants, rank of a matrix, Cramer's rule, sets, vennn diagram, binary operations, real number systems

Topics: number system, binary number system, octal number system, hexadecimal number system, binary addition, binary subtraction, signed numbers, complement representation, binary multiplication, floating point representation, binary codes, binary coded decimal numbers, weighted codes, self implementing codes, cyclic codes, gray code, error detecting codes, error correcting code, Hamming code, BCD addition, alphanumeric codes, Boolean algebra, logic gates, duality principle, Venn diagram, truth table, Karnaugh map, Quine – McCluskey Method, combinational switching circuits, combinational circuits, half adder, full adder, parallel binary adder, 8421 adder, BCD adder, subtractor, multiplexers, demultiplexers, code converter, encoders, priority encoder, magnitude comparator, parity generator, parity checker, programmable logic devices, Field Programmable Logic Array, Programmable Array Logic, Programmable Read Only Memory, Direct Coupled Transistor Logic, Integrated Injection Logic, transistor transistor logic, CMOS Logic, Flip flop, shift registers, counter, Asynchronous Counters, counter ICs, Digital to Analog Converter, Analog to Digital Converter, digital memory, semiconductor memory, read only memory, random access memory, magnetic memory, magnetic bubble memories, charged coupled devices, compact disk read only memory

Topics: Group, function, permutation, isomorphism, group element, subgroup, function, cyclic group, partition, equivalence relation, counting coset, homomorphism, quotient group, homomorphism theorem, ring, quotient ring, integral domain, polynomial, factoring polynomial, extension of fields, vector space, field extension, ruler, compass, Galois theory, set theory

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

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Topics: Polynomials, polynomial addition, polynomial subtraction, product of polynomials, polynomials division, factor theorem, remainder theorem, quadratic equations theory, discriminant, cubic equations roots

Topics: Logic, philosophy, argument, deduction, induction, deductive argument forms, truth, validity, sentential logic, atomic sentences, compound sentences, truth tables, Logical Form, Tautologies, Contradictions, Contingent Sentences, Logical Equivalences, Argument forms, Disjunctive Syllogism, Hypothetical Syllogism, Simplification, Conjunction, Constructive Dilemma, proofs, Sentential Logic Truth Trees, Sentential Logic Truth Tree Method, predicate logic, Predicate Logic Symbolization, Predicate Logic Semantics, Proving Invalidity, Predicate Logic Proofs, Relational Predicate Logic, Predicate Logic Truth Trees, modal logic, Modal Logic Semantics, Syllogistic Logic

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

Topics: Algorithm Design, Algorithm Analysis, Algorithm, Problem Solving Techniques, Recursion, Recursive Fibonacci Series, Sorting Techniques, Sorting Techniques, Searching Techniques, Linear Search, Sequential Search, Runtime Analysis, Big ‘O’ Notation, O-Notation, Insertion Sort, Divide and Conquer Algorithm, Merge Sort Algorithm, Quicksort Algorithm, Partitioning, Recursion-Tree Method, Master Theorem, Master method