Schaum's Outline of Theory and problems of modern algebra by Frank ayres PDF free download

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: atomic structure, bonding, periodic table, ionic bond, covalent bond, metallic bond, coordination bond, hydrogen, hydride, alkali metal, alkaline earth metal, chalcogen, group 2 element, group 13 element, S-block element, P-block element, group 14 element, group 15 element, group 16 element, halogen, group 17 element, halogen oxide, noble gas, transition element, scandium group, titanium group, vanadium group, chromium group, manganese group, iron group, cobalt group, nickel group, copper group, zinc group, Bohr theory, Pauli exclusion principle, atomic spectra, Hund rule, solubility, conductivity, lattice energy, stochiometric defect, schottky defect, Lewis theory, octet rule, sidgwick-powell theory, VSEPR theory, isoelectronic principle, Heisenberg uncertainty principle, radial function, angular function

Topics: Set Theory, set equality, set equivalence, subset, empty set, null set, universal set, set operations

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: 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

Topics: Linear Algebra, Algebra of Matrices, matrix, Determinants, Matrix Inverse, Systems of Linear Equations, Vector Space, linear equation, Subspaces of Vector Spaces, Rank of a Matrix, Linear Transformations, Linear Transformation, Homogeneous Systems of Linear Equations, Non-Homogeneous Systems of Linear Equations, Eigenvalue, Eigenvector, Minimal Polynomial, Matrix Polynomial, Companion Matrix, Similar Matrix, Diagonal Matrix, Triangular Matrix

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

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

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

Topics: Real Numbers, Real Line, absolute value, indices, surds, Rationalization, logarithm, matices, matrix algebra, e Moivre’s theorem, complex numbers, Conjugate complex number, Argand Diagram, Roots of Complex Numbers, Roots of Unity, set theory, Binary Operations

Topics: Workgroup, Group Dynamics, Interpersonal Dynamics, Intergroup Composition, Intergroup roles, Group Formation, Group Building, Group Development, Group Cohesiveness, Intergroup Cohesiveness, Intergroup Decision, Intergroup Commitment, Managing Group Relationship, Group Productivity Meetings, Group Evaluation, group Improvement, Group Conflict Management, Group Benefits, group Contributions

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: 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

Topics: 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

Topics: Set theory, Venn-euler diagram, Set Operations, Algebra of Sets, venn diagram, surds, rationalization of surds, indices, logarithm, set theory

Topics: algebraic structures, matrix, echelon form, Gaussian elimination, linear system, vector space, linear map, linear form, bilinear form, Euclidean vector space, unitary vector space, eigenvalue, endomorphism, polynomials, theory of algebra, cyclic subspace, duality, Jordan canonical form, matrix function, singular value decomposition, Kronecker product, linear matrix

Topics: vector space, linear map, polynomial, Eigenvalues, Eigenvectors, Invariant Subspaces, inner product space, complex vector spaces, real vector space, trace, determinant

Topics: Group Theory, Group Skills, group dynamics, Group Goals, Social Interdependence, Trust, Experiential Learning, communication, leadership, power, decision making, controversy, creativity, conflict on interest, diversity, Cooperative Learning, Team Development, Team Training

Topics: Calculus, linear coordinate systems, absolute value, inequalities, rectangular coordinate systems, lines, circles, parabolas, ellipses, hyperbolas, conic sections, functions, limits, continuity, continuous function, derivative, delta notation, chain rule, inverse functions, implicit differentiation, tangent lines, normal lines, critical numbers, relative maximum relative minimum, cure sketching, concavity, symmetry, points of inflection, vertical asymptotes, trigonometry, trigonometric functions, inverse trigonometric functions, rectilinear motion, circular motion, differentials, Newton's method, antiderivatives, definite integral, sigma notation, natural logarithm, exponential functions, logarithmic functions, L'hopital's rule, exponential growth, decay, half-life, integration by parts, trigonometric integrands, trigonometric substitutions, improper integrals, parametric equations, curvature, plane vectors, curvilinear motion, polar coordinates, infinite sequences, infinite series, geometric series, power series, uniform convergence, Taylor's series, Maclaurin series, partial derivatives, total differential, differentiability, chain rules, space vectors, directional derivatives, vector differentiation, vector integration, double integrals, iterated integrals, centroids, triple integrals, Separable Differential Equations, Homogeneous Functions, Integrating Factors, Second-Order Equations

Topics: Set theory, venn diagram, Logarithm, surd, inequalities