Engineering↗
Quartic Galois Groups and Discriminants
Handbook guide to Quartic Galois Groups and Discriminants, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
Content type
Guides
Structured, multi-part guides that take a subject from first principles to applied practice. 3019 pages.
Engineering↗
Quartic Galois Groups and Resolvent Cubics
Handbook guide to quartic galois groups and resolvent cubics with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Quotient Rings and Finite Fields
Handbook guide to quotient rings and finite fields, covering definitions, key results, methods, verification checks and worked examples.
Engineering↗
Radians, Arc Length and Angular Speed
Handbook guide to radians, arc length and angular speed, with formulas, methods, worked examples, checks and engineering-oriented applications.
Engineering↗
Radical Notation and Rational Exponents
Handbook guide to radical notation and rational exponents, with formulas, methods, worked examples, checks and engineering-oriented applications.
Engineering↗
Radicals and Root Properties
Handbook guide to radicals and root properties, with rules, worked examples, verification, common errors and practical engineering applications.
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Ratio, Rate and Proportion in Engineering Calculations
Engineering handbook for ratio, rate and proportion in engineering calculations, covering the secret language of numbers, how a struggling baker, a broke...
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Rational Equations That Lead to Quadratics
Handbook guide to rational equations that lead to quadratics, with rules, worked examples, verification, common errors and practical engineering applications.
Engineering↗
Rational Equations That Reduce to Linear Equations
Handbook guide to rational equations that reduce to linear equations, with rules, worked examples, verification, common errors and practical engineering.
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Rational Expressions
Handbook guide to rational expressions, with formulas, methods, worked examples, checks and engineering-oriented applications.
Engineering↗
Rational Function Fields and Algebraic Curves
How rational functions form fields, how algebraic curves acquire function fields, and why the function-field viewpoint gives a coordinate-independent way to study curves.
Engineering↗
Rational Functions
Handbook guide to rational functions, with formulas, methods, worked examples, checks and engineering-oriented applications.
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Rational, Block and Diagonal Divisibility Canonical Forms
Handbook guide to rational, block, with definitions, key results, methods, verification checks and worked examples.
Engineering↗
Rational, Radical and Absolute-Value Equations
Handbook guide to rational, radical and absolute-value equations, with formulas, methods, worked examples, checks and engineering-oriented applications.
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Rearranging Formulas and Literal Equations
Rearrange formulas to isolate a chosen variable, substitute known values and preserve algebraic equivalence across practical calculations.
Engineering↗
Rearranging Formulas and Solving for a Variable
Handbook guide to rearranging formulas and solving for a variable, with rules, worked examples, verification, common errors and practical engineering.
Engineering↗
Reducing Fractions to Lowest Terms
Handbook guide to reducing fractions to lowest terms, with rules, worked examples, verification, common errors and practical engineering applications.
Engineering↗
Representations, Characters and Finite-Group Applications
Handbook guide to representations, characters, with definitions, key results, methods, verification checks and worked examples.
Engineering↗
Retaining Rings: Selection, Grooves and Installation: Metric E-Type External Retaining Rings
Engineering handbook for retaining rings: selection, grooves and installation, covering metric e-type external retaining rings — type 3cm1 (reduced...
Engineering↗
Retaining Rings: Selection, Grooves and Installation: Retaining Ring Standards
Engineering handbook for retaining rings: selection, grooves and installation, covering retaining ring standards — complete reference, military standards,...
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Retaining Rings: Selection, Grooves and Installation: The Invisible Shoulder
Engineering handbook for retaining rings: selection, grooves and installation, covering the invisible shoulder: how a tiny ring prevents catastrophic machine...
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Rigid Couplings, Knuckle Joints and Lever Design — Part 3
Engineering handbook for rigid couplings, knuckle joints and lever design, covering step 6: final verification — all components, lever design — the other half of...
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Rigid Couplings, Knuckle Joints and Lever Design: Example 2
Engineering handbook for rigid couplings, knuckle joints and lever design, covering example 2: power screw buckling check (connecting chapter 15 to chapter 16),...
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Rigid Couplings, Knuckle Joints and Lever Design: How Three "Simple" Components Brought a Crushing Plant to...
Engineering handbook for rigid couplings, knuckle joints and lever design, covering how three "simple" components brought a crushing plant to its knees — and the...
Engineering↗
Ring Homomorphisms, Ideals and Kernel Methods
Handbook guide to ring homomorphisms, ideals and kernel methods, covering definitions, key results, methods, verification checks and worked examples.
Engineering↗
Ring Homomorphisms, Kernels, Images and Quotient Rings
Homomorphisms preserve ring structure. Their kernels are ideals, their images are subrings, and quotient rings provide the universal mechanism for collapsing exactly the informa…
Engineering↗
Ring Isomorphism Theorems and Chinese Remainders
Handbook guide to ring isomorphism theorems and chinese remainders with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Rings of Fractions
Handbook guide to Rings of Fractions, covering core definitions, key results, formulas, reasoning methods and worked examples in graduate abstract algebra.
Engineering↗
Rings of Fractions and Localisation
Handbook guide to rings of fractions and localisation with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Rings, Domains, Fields, Units and Zero Divisors
Handbook guide to rings, domains, fields, units and zero divisors with core definitions, structural results, reasoning methods and verification checks.
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Rings: Basic Definitions and Properties
Handbook guide to Rings: Basic Definitions and Properties, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
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Rivets and Riveted Joint Design: Cone Head and Pan Head Impressions
Engineering handbook for rivets and riveted joint design, covering cone head and pan head impressions, ansi small solid rivets — ansi/asme b18.1.1-1972 (r1995),...
Engineering↗
Rivets and Riveted Joint Design: The Bridge That Refused to Fall
Engineering handbook for rivets and riveted joint design, covering the bridge that refused to fall, classes and types of riveted joints, the two fundamental...
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Rolled Steel Sections and Helical Springs: Key Design Consideration for Extension Springs
Engineering handbook for rolled steel sections and helical springs, covering key design consideration for extension springs, sample stock extension spring data,...
Engineering↗
Rolled Steel Sections and Helical Springs: The Anatomy of a Helical Spring
Engineering handbook for rolled steel sections and helical springs, covering current-state problem, the anatomy of a helical spring, the core parameters.
Engineering↗
Rolled Steel Sections and Helical Springs: The World of Springs
Engineering handbook for rolled steel sections and helical springs, covering the world of springs: classification in the supplied reference are classified by the...
Engineering↗
Rolling Thrust Bearings: Selection and Calculation: Life Adjustment Factors
Engineering handbook for rolling thrust bearings: selection and calculation, covering life adjustment factors: beyond the basic l₁₀, factor $a_1$ — reliability...
Engineering↗
Rolling Thrust Bearings: Selection and Calculation: What Thrust Bearings Actually Do (And Why You Can't...
Engineering handbook for rolling thrust bearings: selection and calculation, covering context and scope, what thrust bearings actually do (and why you can't...
Engineering↗
Rolling Thrust Bearings: Selection and Calculation: Worked Example
Engineering handbook for rolling thrust bearings: selection and calculation, covering worked example: tilting pad thrust bearing, the final verdict, tilting pad...
Engineering↗
Rolling-Element Bearings: Selection, Fits and Installation: Bearing Tolerance Classes
Engineering handbook for rolling-element bearings: selection, fits and installation, covering bearing tolerance classes — the precision hierarchy, ball bearing...
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Rolling-Element Bearings: Selection, Fits and Installation: Load Ratings and Fatigue Life
Engineering handbook for rolling-element bearings: selection, fits and installation, covering load ratings and fatigue life: the mathematics that save machines,...
Engineering↗
Rolling-Element Bearings: Selection, Fits and Installation: Radial and Axial Clearance Considerations
Engineering handbook for rolling-element bearings: selection, fits and installation, covering radial and axial clearance considerations, critical clearance...
Engineering↗
Rolling-Element Bearings: Selection, Fits and Installation: Shaft Raceway Tolerance Limits
Engineering handbook for rolling-element bearings: selection, fits and installation, covering shaft raceway tolerance limits — drawn cup needle bearings,...
Engineering↗
Rolling-Element Bearings: Selection, Fits and Installation: Soft Metal and Resilient Housings (Aluminum,...
Engineering handbook for rolling-element bearings: selection, fits and installation, covering soft metal and resilient housings (aluminum, magnesium, sheet...
Engineering↗
Rolling-Element Bearings: Selection, Fits and Installation: The Four Bearing Types You Actually Need to Know
Engineering handbook for rolling-element bearings: selection, fits and installation, covering the four bearing types you actually need to know, the core formula...
Engineering↗
Rolling-Element Bearings: Selection, Fits and Installation: What Roller Bearings Actually Are (And Why They...
Engineering handbook for rolling-element bearings: selection, fits and installation, covering the complete engineering guide to types, needle bearings, thrust...
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Rolling-Element Bearings: Selection, Fits and Installation: When Additives Change the Game
Engineering handbook for rolling-element bearings: selection, fits and installation, covering when additives change the game, common mistakes: the hall of shame,...
Engineering↗
Rotation of Axes
Handbook guide to rotation of axes, with formulas, methods, worked examples, checks and engineering-oriented applications.