Engineering↗
Group Isomorphism Theorems and Correspondence
Handbook guide to group isomorphism theorems and correspondence 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.
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Group Presentations: Generators and Relations
Handbook guide to group presentations: generators and relations with core definitions, structural results, reasoning methods and verification checks.
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Group Structure: Composition Series, Simple Groups and Solvable Groups
Group structure is analysed by breaking a group into normal layers. Composition series, Jordan–Hölder invariance, simple groups and solvability provide a hierarchy of complex…
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Group Theory Problem-Solving Handbook
Problem-solving handbook synthesising the source's group exercises into reusable methods for proof, computation and structural recognition.
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Group, Module and Sheaf Cohomology
Cohomology extends beyond topological spaces to modules, groups and sheaves. Derived constructions measure obstructions to solving algebraic problems and assemble local data int…
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Groups Acting on Sets
Handbook guide to Groups Acting on Sets, covering core definitions, key results, formulas, reasoning methods and worked examples in graduate abstract algebra.
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Groups and Subgroups
Handbook guide to Groups and Subgroups, covering core definitions, key results, formulas, reasoning methods and worked examples in graduate abstract algebra.
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Groups, Subgroups, Cyclic Groups and Orders
Handbook guide to groups, subgroups, cyclic groups and orders with core definitions, structural results, reasoning methods and verification checks.
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Groups: Transformations, Subgroups, Quotients and Extensions
Groups formalise reversible transformations and symmetries. Subgroups, normal subgroups, quotient groups, direct products and extensions reveal how complex symmetry systems are …
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Hardfacing, Thermal Spraying and Surface Rebuilding: Cutting Stainless Steel
Engineering handbook for hardfacing, thermal spraying and surface rebuilding, covering cutting stainless steel: the flux-injection solution, cutting cast iron:...
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Hardfacing, Thermal Spraying and Surface Rebuilding: The Worn-Out Valve That Changed Everything
Engineering handbook for hardfacing, thermal spraying and surface rebuilding, covering the worn-out valve that changed everything, what is metal surfacing — and...
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Hardfacing, Thermal Spraying and Surface Rebuilding: Transferred Arc Process
Engineering handbook for hardfacing, thermal spraying and surface rebuilding, covering transferred arc process, non-transferred arc process (metal spraying),...
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Heating Systems, Burners and Automatic Controls: Gas and Oil Controls
Engineering handbook for heating systems, burners and automatic controls, covering gas and oil controls — the safety net between you and disaster, the gas...
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Heating Systems, Burners and Automatic Controls: Hot-Water Circulators
Engineering handbook for heating systems, burners and automatic controls, covering hot-water circulators: the heart of hydronic systems, circulator selection:...
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Heating Systems, Burners and Automatic Controls: Oil Burners
Engineering handbook for heating systems, burners and automatic controls, covering how one technician's worst nightmare became the foundation for an unstoppable...
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Hilbert Basis Theorem
Handbook guide to Hilbert Basis Theorem, covering core definitions, key results, formulas, reasoning methods and worked examples in graduate abstract algebra.
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Holonomic Linear Systems and Topological Obstruction
Advanced guide to finite-dimensional linear differential systems in several variables, monodromy, regularity and strict non-solvability for non-triangular small-coefficient syst…
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Homological Algebra: Chain Complexes, Homology and de Rham Theory
Homological algebra converts geometric and algebraic structures into chain complexes. Homology measures the gap between cycles and boundaries, while cohomology and differential …
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Homology, Chain Complexes and Derived Functors
Handbook guide to homology, chain complexes and derived functors, covering definitions, key results, methods, verification checks and worked examples.
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Homomorphisms and Matrices
Handbook guide to Homomorphisms and Matrices, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
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HVAC Design for Education Buildings: The Engine Room of School HVAC
Engineering handbook for hvac design for education buildings, covering the engine room of school hvac, the outdoor air psychrometrics problem, the nominal...
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HVAC Design for Education Buildings: Understanding the Battlefield
Engineering handbook for hvac design for education buildings, covering context and scope, understanding the battlefield: what makes school hvac different, the...
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HVAC Engineering Fundamentals, Loads and Distribution: Resistance of Fittings
Engineering handbook for hvac engineering fundamentals, loads and distribution, covering resistance of fittings: the data that sizes your pipes, steam systems —...
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HVAC Engineering Fundamentals, Loads and Distribution: The Language of the Trade
Engineering handbook for hvac engineering fundamentals, loads and distribution, covering context and scope, the language of the trade — symbols, units, and the...
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HVAC Field Design: Fans, Ducts, Piping and Controls: Fan Basics
Engineering handbook for hvac field design: fans, ducts, piping and controls, covering context and scope, technical challenge, fan basics — the heartbeat of...
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HVAC Field Design: Fans, Ducts, Piping and Controls: Pump Construction Types
Engineering handbook for hvac field design: fans, ducts, piping and controls, covering pump construction types, pump impeller types, pump body types.
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HVAC Field Design: Fans, Ducts, Piping and Controls: Voltage and Frequency Effects on Motor Performance
Engineering handbook for hvac field design: fans, ducts, piping and controls, covering voltage and frequency effects on motor performance, belt drives — the...
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Ideals, Homomorphisms and Quotient Rings
Handbook guide to Ideals, Homomorphisms and Quotient Rings, with key definitions, results, formulas, reasoning methods and worked examples for abstract algebra.
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Ideals, Prime Ideals, Maximal Ideals and Principal Ideal Domains
Ideals control quotients, divisibility and algebraic geometry. This page develops generated and principal ideals, ideal products, prime and maximal ideals, and the special role …
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Ideals, Ring Homomorphisms and Quotient Rings
Handbook guide to ideals, ring homomorphisms and quotient rings with core definitions, structural results, reasoning methods and verification checks.
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Inch-Series Bolts, Screws, Nuts and Clearances: Round Head Square Neck Bolts (Carriage Bolts)
Engineering handbook for inch-series bolts, screws, nuts and clearances, covering round head square neck bolts (carriage bolts) — ansi/asme b18.5-1990, round...
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Inch-Series Bolts, Screws, Nuts and Clearances: The Critical Distinction
Engineering handbook for inch-series bolts, screws, nuts and clearances, covering context and scope, the critical distinction: bolt vs. screw — and why it's not...
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Inch-Series Bolts, Screws, Nuts and Clearances: What You Will Master in This Guide
Engineering handbook for inch-series bolts, screws, nuts and clearances, covering what you will master in this guide, the foundation: understanding nut standards...
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Inch-Series Bolts, Screws, Nuts and Clearances: Wrench Opening Formula
Engineering handbook for inch-series bolts, screws, nuts and clearances, covering wrench opening formula, wrench clearance dimensions — the space you must design...
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Industrial Adhesives and Sealants for Engineered Joints: Improvement method and result
Engineering handbook for industrial adhesives and sealants for engineered joints, covering improvement method and result, your adhesive and sealant decision...
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Industrial Adhesives and Sealants for Engineered Joints: The Assembly That Almost Destroyed a Production Line
Engineering handbook for industrial adhesives and sealants for engineered joints, covering the assembly that almost destroyed a production line, what you need to...
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Industrial Chain Drives: Sizing, Selection and Maintenance: Quick-Reference Formula Sheet
Engineering handbook for industrial chain drives: sizing, selection and maintenance, covering quick-reference formula sheet, what's your next chain drive...
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Industrial Chain Drives: Sizing, Selection and Maintenance: Taper Lock Bushes
Engineering handbook for industrial chain drives: sizing, selection and maintenance, covering taper lock bushes, chain drives — introduction, types of roller chain.
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Industrial Chain Drives: Sizing, Selection and Maintenance: The Power Rating Formula
Engineering handbook for industrial chain drives: sizing, selection and maintenance, covering the power rating formula, roller chain drive service factors,...
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Industrial Chain Drives: Sizing, Selection and Maintenance: Types of Transmission Chains
Engineering handbook for industrial chain drives: sizing, selection and maintenance, covering the complete engineering guide to roller chain drives, sprockets,...
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Industrial Chain Drives: Sizing, Selection and Maintenance: What Actually Is a Precision Roller Chain?
Engineering handbook for industrial chain drives: sizing, selection and maintenance, covering what actually is a precision roller chain?, the two global...
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Industrial Laser Processing for Cutting, Welding and Treatment: A Focused Beam Changed Everything She Knew...
Engineering handbook for industrial laser processing for cutting, welding and treatment, covering a focused beam changed everything she knew about precision,...
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Industrial Laser Processing for Cutting, Welding and Treatment: Microstructure Effects on Hardening Depth
Engineering handbook for industrial laser processing for cutting, welding and treatment, covering microstructure effects on hardening depth, hardening rates,...
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Infinite Discrete Groups, Presentations, Fundamental Groups and Braid Groups
Infinite discrete groups are described through geometric actions, generators and relations. Crystallographic, hyperbolic, modular, free, knot and braid groups link algebra with …
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Infinitesimals, Tangent Spaces, Derivations and Jets
Infinitesimal geometry can be encoded algebraically through functions modulo higher-order vanishing, derivations, jets and differential operators.
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Injection Mould Flow Analysis and Result Interpretation
Engineering handbook for injection mould flow analysis and result interpretation, covering fill time, injection location, air traps.
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Injective Modules
Handbook guide to Injective Modules, covering core definitions, key results, formulas, reasoning methods and worked examples in graduate abstract algebra.
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Injective Modules, Injective Embeddings and Divisible Groups
Injective Modules, Injective Embeddings and Divisible Groups: core definitions, structural results and verification methods in abstract algebra.