Engineering↗
Derived Functors, Tor and Ext
Handbook guide to derived functors, tor and ext with core definitions, structural results, reasoning methods and verification checks.
Content type
Guides
Structured, multi-part guides that take a subject from first principles to applied practice. 2916 pages.
Engineering↗
Determinants and Cramer’s Rule
Handbook guide to determinants and cramer’s rule, with formulas, methods, worked examples, checks and engineering-oriented applications.
Engineering↗
Determinants, Differential Forms and Bracket Algebras
Handbook guide to determinants, differential forms and bracket algebras, covering definitions, key results, methods, verification checks and worked examples.
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Dimensioning, Gauging and Manufacturing Measurement: Electrical Measurement Relationships
Engineering handbook for dimensioning, gauging and manufacturing measurement, covering electrical measurement relationships, ohm's law — complete relationship...
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Dimensioning, Gauging and Manufacturing Measurement: Guide to Every System, Every Conversion, Every Tool You...
Engineering handbook for dimensioning, gauging and manufacturing measurement, covering guide to every system, every conversion, every tool you need, the two...
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Dimensioning, Gauging and Manufacturing Measurement: Laser Cutting Rates for Nonmetals
Engineering handbook for dimensioning, gauging and manufacturing measurement, covering laser cutting rates for nonmetals, injection molding of metal — extreme...
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Dimensioning, Gauging and Manufacturing Measurement: Temperature Conversion
Engineering handbook for dimensioning, gauging and manufacturing measurement, covering temperature conversion — the formulas you must know, the four temperature...
Engineering↗
Direct and Inverse Limits
Handbook guide to Direct and Inverse Limits, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
Engineering↗
Direct Products of Groups
Handbook guide to direct products of groups with core definitions, structural results, reasoning methods and verification checks.
Engineering↗
Direct Sums and Free Modules
Handbook guide to Direct Sums and Free Modules, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
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Direct Sums, Free Modules and Matrix Representations
Handbook guide to direct sums, free modules and matrix representations with core definitions, structural results, reasoning methods and verification checks.
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Discriminants in Number Fields
Handbook guide to Discriminants in Number Fields, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
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Distance–Rate–Time and Linear Geometry Applications
Handbook guide to distance–rate–time and linear geometry applications, with rules, worked examples, verification, common errors and practical engineering.
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Distributive Property and Combining Like Terms
Handbook guide to distributive property and combining like terms, with rules, worked examples, verification, common errors and practical engineering.
Engineering↗
Divisible Abelian Groups
Handbook guide to Divisible Abelian Groups, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
Engineering↗
Division Algebras and Central Simple Algebras
Handbook guide to division algebras and central simple algebras, covering definitions, key results, methods, verification checks and worked examples.
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Division Algebras of Finite Rank
Finite-dimensional division algebras sit between field theory and matrix algebra. Their structure depends strongly on the centre and on the arithmetic properties of the base field.
Engineering↗
Division-Norm Rings and Principal Ideal Methods
Handbook guide to division-norm rings and principal ideal methods, covering definitions, key results, methods, verification checks and worked examples.
Engineering↗
Double Inequalities and Bounded Ranges
Handbook guide to double inequalities and bounded ranges, with rules, worked examples, verification, common errors and practical engineering applications.
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Elasticity, Stress and Continuum Mechanics: /20 Summary
Engineering handbook for elasticity, stress and continuum mechanics, covering context and scope, /20 summary, elastostatics.
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Elasticity, Stress and Continuum Mechanics: Final Takeaways
Engineering handbook for elasticity, stress and continuum mechanics, covering glossary, final takeaways.
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Electric Motors: Types, Performance, Standards and Selection: Annual or Biannual Inspection
Engineering handbook for electric motors: types, performance, standards and selection, covering annual or biannual inspection, improvement method and result,...
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Electric Motors: Types, Performance, Standards and Selection: Locked-Rotor Current
Engineering handbook for electric motors: types, performance, standards and selection, covering locked-rotor current, nema standard pull-up torque requirements,...
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Electric Motors: Types, Performance, Standards and Selection: Protection Ratings
Engineering handbook for electric motors: types, performance, standards and selection, covering protection ratings — the detail that burned the practitioner's...
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Electric Motors: Types, Performance, Standards and Selection: Seal Group Designs
Engineering handbook for electric motors: types, performance, standards and selection, covering seal group designs, bore requirements, shaft requirements.
Engineering↗
Electric Motors: Types, Performance, Standards and Selection: Single-Phase Motors
Engineering handbook for electric motors: types, performance, standards and selection, covering single-phase motors: when three-phase supply isn't available, the...
Engineering↗
Electric Motors: Types, Performance, Standards and Selection: The Three Single-Phase Motor Designs
Engineering handbook for electric motors: types, performance, standards and selection, covering the three single-phase motor designs, single-phase motor...
Engineering↗
Electric Motors: Types, Performance, Standards and Selection: Three-Phase Motors
Engineering handbook for electric motors: types, performance, standards and selection, covering three-phase motors: the industrial standard, the four synchronous...
Engineering↗
Electric Motors: Types, Performance, Standards and Selection: Torque and Current Definitions
Engineering handbook for electric motors: types, performance, standards and selection, covering torque and current definitions: the language every engineer must...
Engineering↗
Electrical Discharge Machining: Process, Control and Quality: Drilling Holes for Wire EDM
Engineering handbook for electrical discharge machining: process, control and quality, covering drilling holes for wire edm, wire edm surface characteristics,...
Engineering↗
Electrical Discharge Machining: Process, Control and Quality: The Complete Guide to Cutting Metal Without...
Engineering handbook for electrical discharge machining: process, control and quality, covering the complete guide to cutting metal without ever touching it, how...
Engineering↗
Elementary Number Theory
Handbook guide to Elementary Number Theory, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
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Embedding into an Injective Module
Handbook guide to Embedding into an Injective Module, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
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Engineering Arithmetic and Sequence of Operations: A Journey Through Addition, Subtraction, Multiplication &...
Engineering handbook for engineering arithmetic and sequence of operations, covering a journey through addition, subtraction, multiplication & division, what are...
Engineering↗
Engineering Arithmetic and Sequence of Operations: Common Mistakes and How to Avoid Them
Engineering handbook for engineering arithmetic and sequence of operations, covering common mistakes and how to avoid them, the mistake hall of fame, addition...
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Engineering Drawings: Standards, Views and Production Documentation — Part 1
Engineering handbook for engineering drawings: standards, views and production documentation, covering part drawing checklist, material specification reference,...
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Engineering Drawings: Standards, Views and Production Documentation: Key Terms
Engineering handbook for engineering drawings: standards, views and production documentation, covering comparison table: view types, process: creating a complete...
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Engineering History: Bridges, Canals and Landmark Construction
Engineering handbook for engineering history: bridges, canals and landmark construction, covering zuiderzee works, eiffel tower, erie canal.
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Engineering History: Communication and Electric Power
Engineering handbook for engineering history: communication and electric power, covering power grid, telegraph system, telephone.
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Engineering History: Materials, Structures and Water Systems
Engineering handbook for engineering history: materials, structures and water systems, covering asphalt - 625 bce, leaning tower of pisa, roman aqueduct system -...
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Engineering History: Mechanisation and Industrial Power
Engineering handbook for engineering history: mechanisation and industrial power, covering high-pressure steam engine, steam turbine, two-stroke diesel engine.
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Engineering History: Modern Materials and Production Processes
Engineering handbook for engineering history: modern materials and production processes, covering hall-héroult process, carbon fiber.
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Engineering History: Navigation, Surveying and Maritime Systems
Engineering handbook for engineering history: navigation, surveying and maritime systems, covering compass, square-rigged wooden sailboats, gunter's chain.
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Engineering Origins: Tools, Mechanisms and Early Technology
Engineering handbook for engineering origins: tools, mechanisms and early technology, covering bow and arrow 30,000 bce, hunter & gatherer tools otzi 3300 bce,...
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Engineering Weights, Measures and Conversion Reference: How to Use Conversion Tables
Engineering handbook for engineering weights, measures and conversion reference, covering how to use conversion tables: worked examples, example 1: find the...
Engineering↗
Engineering Weights, Measures and Conversion Reference: The Two Worlds of Measurement
Engineering handbook for engineering weights, measures and conversion reference, covering the complete mathematics reference guide you'll use for the rest of...
Engineering↗
Equations of Lines and Linear Modeling
Handbook guide to equations of lines and linear modeling, with formulas, methods, worked examples, checks and engineering-oriented applications.
Engineering↗
Exact Functors
Handbook guide to Exact Functors, covering core definitions, key results, formulas, reasoning methods and worked examples in graduate abstract algebra.