Engineering↗
Chain Complexes
Handbook guide to Chain Complexes, covering core definitions, key results, formulas, reasoning methods and worked examples in graduate abstract algebra.
Content type
Guides
Structured, multi-part guides that take a subject from first principles to applied practice. 2916 pages.
Engineering↗
Chain Complexes, Chain Maps and the Snake Lemma
Handbook guide to chain complexes, chain maps and the snake lemma with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Chain Conditions and the Generator Lemma
Handbook guide to Chain Conditions and the Generator Lemma, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
Engineering↗
Choice Principles and Maximality Methods
Handbook guide to choice principles and maximality methods, covering definitions, key results, methods, verification checks and worked examples.
Engineering↗
Circular Functions: Graphs and Properties
Handbook guide to circular functions: graphs and properties, with formulas, methods, worked examples, checks and engineering-oriented applications.
Engineering↗
Classical Physics Foundations: Geometry, Tensors and Dynamics
Engineering handbook for classical physics foundations: geometry, tensors and dynamics, covering geometric viewpoint of classical physics, /20 summary, newtonian...
Engineering↗
Cofunction, Double-Angle and Half-Angle Identities
Handbook guide to cofunction, double-angle and half-angle identities, with formulas, methods, worked examples, checks and engineering-oriented applications.
Engineering↗
Combinatorics: Combinations
Handbook guide to combinatorics: combinations, with formulas, methods, worked examples, checks and engineering-oriented applications.
Engineering↗
Combinatorics: Permutations
Handbook guide to combinatorics: permutations, with formulas, methods, worked examples, checks and engineering-oriented applications.
Engineering↗
Combining Like Terms and the Distributive Property
Identify terms and coefficients, combine like terms, distribute factors across grouped expressions and simplify algebraic expressions.
Engineering↗
Commutative Rings and Polynomial Rings
Rings retain addition, multiplication and distributivity while dropping the requirement that every nonzero element have a multiplicative inverse. Polynomial rings provide the ce…
Engineering↗
Commutative Rings, Domains, Units and Subrings
Handbook guide to commutative rings, domains, units and subrings, covering definitions, key results, methods, verification checks and worked examples.
Engineering↗
Commutators, Homomorphisms, Kernels and Structure Maps
Handbook guide to measuring non-commutativity, structure-preserving maps, kernels, images and quotient-factorisation.
Engineering↗
Compact and Lie Group Representations
Representation theory extends from finite groups to compact and classical Lie groups by replacing finite sums with invariant integration and exploiting geometry, characters and …
Engineering↗
Comparison and One-Variable Relationship Models
Handbook guide to comparison and one-variable relationship models, with rules, worked examples, verification, common errors and practical engineering.
Engineering↗
Completions, Valuations and p-Adic Numbers
Completions turn sequences of increasingly accurate approximations into new algebraic objects. Valuations measure order or size and lead naturally to formal series and p-adic nu…
Engineering↗
Complex Branching and Monodromy Problem-Solving Handbook
Problem-solving handbook for complex numbers, curves, winding, branch surfaces, radical expressions and monodromy, synthesised from the source exercises and visual branch diagrams.
Engineering↗
Complex Fillets and Blends in 3D CAD
Engineering handbook for complex fillets and blends in 3d cad, covering corner management and setbacks, advanced fillet overflows and behaviors, variable radius...
Engineering↗
Complex Numbers
Handbook guide to complex numbers, with formulas, methods, worked examples, checks and engineering-oriented applications.
Engineering↗
Complex Numbers in Trigonometric Form
Handbook guide to complex numbers in trigonometric form, with formulas, methods, worked examples, checks and engineering-oriented applications.
Engineering↗
Complex Numbers, Roots of Unity and Cyclotomic Polynomials
Handbook guide to complex numbers, roots of unity, with definitions, key results, methods, verification checks and worked examples.
Engineering↗
Complex Numbers: Algebraic Construction and Conjugation
Handbook guide to constructing complex numbers from ordered pairs of real numbers, proving the field rules, algebraic form, division and conjugation.
Engineering↗
Complex Plane, Polar Form and Root Extraction
Guide to geometric complex-number representation, modulus, argument, polar form, multiplication, powers and all nth roots.
Engineering↗
Component Patterns and Mirroring in Assemblies
Engineering handbook for component patterns and mirroring in assemblies, covering mirroring components, linear patterns, circular patterns.
Engineering↗
Composition Series
Handbook guide to Composition Series, covering core definitions, key results, formulas, reasoning methods and worked examples in graduate abstract algebra.
Engineering↗
Composition Series, Solvable Groups and Nilpotent Groups
Composition Series, Solvable Groups and Nilpotent Groups: core definitions, structural results and verification methods in abstract algebra.
Engineering↗
Computing Ext, Tor and Base Change
Handbook guide to computing ext, tor and base change with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Computing Galois Groups and Finite Fields
Handbook guide to computing galois groups and finite fields with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Computing Galois Groups Directly
Handbook guide to Computing Galois Groups Directly, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
Engineering↗
Conjugation, Normal Subgroups and Quotient Groups
Guide to internal conjugation, invariant subgroups, equality of left and right cosets, and construction of quotient groups.
Engineering↗
Consecutive Integer and Number-Relationship Problems
Handbook guide to consecutive integer and number-relationship problems, with rules, worked examples, verification, common errors and practical engineering.
Engineering↗
Continuity and Parametric Curves in the Complex Plane
Guide to continuity for real and complex functions, closure under arithmetic and composition, parametric curves, images and continuous continuation.
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Coordinate Plane and Plotting Ordered Pairs
Understand axes, origin, quadrants, ordered pairs and the coordinate-plane skills needed before graphing linear equations.
Engineering↗
Cosets, Normal Subgroups and Homomorphisms
Handbook guide to Cosets, Normal Subgroups and Homomorphisms, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
Engineering↗
Cosets, Normal Subgroups, Quotient Groups and Homomorphisms
Cosets, Normal Subgroups, Quotient Groups and Homomorphisms: core definitions, structural results and verification methods in abstract algebra.
Engineering↗
Cosets, Subgroup Index and Finite-Group Divisibility
Handbook guide to cosets, subgroup index and finite-group divisibility, covering definitions, key results, methods, verification checks and worked examples.
Engineering↗
Crossed Product Algebras and Spectral Sequences
Handbook guide to crossed product algebras and spectral sequences, covering definitions, key results, methods, verification checks and worked examples.
Engineering↗
Cyclic and Kummer Extensions
Handbook guide to Cyclic and Kummer Extensions, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
Engineering↗
Cyclic Extensions, Kummer Extensions and Solvability by Radicals
Cyclic Extensions, Kummer Extensions and Solvability by Radicals: core definitions, structural results and verification methods in abstract algebra.
Engineering↗
Cyclic Groups, Modular Arithmetic and Isomorphism
Guide to element order, cyclic groups, modular addition, generators and structural equivalence between groups.
Engineering↗
Cyclotomic Fields
Handbook guide to Cyclotomic Fields, covering core definitions, key results, formulas, reasoning methods and worked examples in graduate abstract algebra.
Engineering↗
Cyclotomic Fields and Cubic Galois Groups
Handbook guide to cyclotomic fields and cubic galois groups with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Decimal Arithmetic: Addition, Subtraction and Multiplication
Handbook guide to decimal arithmetic: addition, subtraction and multiplication, with rules, worked examples, verification, common errors and practical.
Engineering↗
Decimal Fractions and Decimal Division
Handbook guide to decimal fractions and decimal division, with rules, worked examples, verification, common errors and practical engineering applications.
Engineering↗
Decimals as Fractions and Place Value
Handbook guide to decimals as fractions and place value, with rules, worked examples, verification, common errors and practical engineering applications.
Engineering↗
Dedekind Domains: Ideal Factorisation and Arithmetic
Handbook guide to dedekind domains: ideal factorisation and arithmetic with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Demand Segmentation, Inventory and Production Planning
Engineering handbook for demand segmentation, inventory and production planning, covering the silent killer in your operations, the framework that changed...
Engineering↗
Derived Functors
Handbook guide to Derived Functors, covering core definitions, key results, formulas, reasoning methods and worked examples in graduate abstract algebra.