Engineering Mathematics: A Series of Lectures Delivered at Union College Reader Guide

Engineering Mathematics: A Series of Lectures Delivered at Union College

Year: 1911. Start with the source text, then branch into diagrams, formulas, and verification material only when you need them.

Read source textStart with strongest sectionView source visualsView formula mapOriginal source

Start Reading

Read the source textOpen the book’s processed source-text reader and move section by section.Begin with: Chapter 1: The General NumberA high-signal section chosen from concept, equation, figure, and quote density.Use the curated guideRead the human-facing overview before entering the research workbench.Find a guided routeEnter by purpose: source-only reading, AC math, transients, field language, diagrams, apparatus, or patents.

Best Doorways Into This Source

Best First Reads

Start here when you want the strongest section-level doorway into this source.

• Chapter 1: The General NumberComplex quantities, Ether references, Impedance / reactance, Alternating current - 8 eq.; 4 fig. - research review
• Chapter 3: Trigonometric SeriesWaves / transmission lines, Impedance / reactance, Magnetism, Ether references - 5 fig. - research review
• Chapter 6: Empirical CurvesMagnetism, Waves / transmission lines, Radiation / light, Ether references - 7,171 words - research review
• Chapter 7: Numerical CalculationsComplex quantities, Field language, Transients / damping, Ether references - 7,123 words - research review
• Chapter 2: Potential Series And Exponential FunctionField language, Dielectricity / capacity, Complex quantities, Magnetism - 7,738 words - research review

Mathematics To Inspect

Use these sections to promote equations, notation, derivations, and worked examples.

• Chapter 1: The General NumberComplex quantities, Ether references, Impedance / reactance, Alternating current - 8 eq.; 4 fig. - research review

Visual Material To Crop Or Annotate

Use these sections to locate figure references, scan crops, diagrams, and redraw targets.

• Chapter 3: Trigonometric SeriesWaves / transmission lines, Impedance / reactance, Magnetism, Ether references - 5 fig. - research review
• Chapter 1: The General NumberComplex quantities, Ether references, Impedance / reactance, Alternating current - 8 eq.; 4 fig. - research review

Field And Language Trail

Use these sections for field, ether, dielectric, magnetic, force, and terminology review.

• Chapter 1: The General NumberComplex quantities, Ether references, Impedance / reactance, Alternating current - 8 eq.; 4 fig. - research review
• Chapter 3: Trigonometric SeriesWaves / transmission lines, Impedance / reactance, Magnetism, Ether references - 5 fig. - research review
• Chapter 6: Empirical CurvesMagnetism, Waves / transmission lines, Radiation / light, Ether references - 7,171 words - research review
• Chapter 7: Numerical CalculationsComplex quantities, Field language, Transients / damping, Ether references - 7,123 words - research review
• Chapter 2: Potential Series And Exponential FunctionField language, Dielectricity / capacity, Complex quantities, Magnetism - 7,738 words - research review

Research metadata and full section map

This layer preserves the rigorous candidate data behind the public reader. Counts and tags are routing aids for researchers, not final scan verification and not the recommended first path for casual reading.

Coverage Summary

6

processed sections

all linked to source text and research review

54,448

processed words

candidate reader text

8

equation candidates

OCR/PDF-derived review seeds

9

figure candidates

figure references and crops

0

quote candidates

hidden-gem candidates

Theme Trails

Waves / transmission lines 114Complex quantities 99Impedance / reactance 75Magnetism 75Field language 57Ether references 52Dielectricity / capacity 50Radiation / light 47Alternating current 20Transients / damping 18Lightning / surges 14Hysteresis 4

Concept Trails

Ether 52Frequency 24Light 13Magnetic permeability 7Illumination 5Radiation 5Arc lamp 2

Glossary Trails

ether 52electrostatic capacity 1effective resistance 1

Priority Promotion Sections

These sections are useful candidates for deeper narrative pages because they combine large text spans with dense concept, equation, figure, or quote signals.

Section	Themes	Why Promote	Workbench
Chapter 1: The General Number	Complex quantities, Ether references, Impedance / reactance, Alternating current	8 equation candidates; 4 figure candidates; dense concept hits	Research review
Chapter 3: Trigonometric Series	Waves / transmission lines, Impedance / reactance, Magnetism, Ether references	5 figure candidates; dense concept hits	Research review
Chapter 6: Empirical Curves	Magnetism, Waves / transmission lines, Radiation / light, Ether references	dense concept hits	Research review
Chapter 7: Numerical Calculations	Complex quantities, Field language, Transients / damping, Ether references	dense concept hits	Research review
Chapter 2: Potential Series And Exponential Function	Field language, Dielectricity / capacity, Complex quantities, Magnetism	dense concept hits	Research review
Chapter 5: Methods Of Approximation	Impedance / reactance, Complex quantities, Radiation / light, Field language	dense concept hits	Research review

Complete Section Map

Section	Words	Themes	Concepts	Eq.	Fig.	Quotes	Location
Chapter 1: The General Number research review	10,319	Complex quantities, Ether references, Impedance / reactance, Alternating current	Ether (12), Illumination (5), Frequency (2)	8	4	0	lines 915-3491
Chapter 2: Potential Series And Exponential Function research review	7,738	Field language, Dielectricity / capacity, Complex quantities, Magnetism	Ether (5), Light (2), Frequency (1)	0	0	0	lines 3492-6063
Chapter 3: Trigonometric Series research review	18,269	Waves / transmission lines, Impedance / reactance, Magnetism, Ether references	Ether (18), Magnetic permeability (7), Frequency (5), Light (4)	0	5	0	lines 6064-15155
Chapter 5: Methods Of Approximation research review	3,828	Impedance / reactance, Complex quantities, Radiation / light, Field language	Frequency (4), Light (2)	0	0	0	lines 15156-16482
Chapter 6: Empirical Curves research review	7,171	Magnetism, Waves / transmission lines, Radiation / light, Ether references	Ether (10), Frequency (10), Radiation (4), Light (1)	0	0	0	lines 16483-21988
Chapter 7: Numerical Calculations research review	7,123	Complex quantities, Field language, Transients / damping, Ether references	Ether (7), Light (4), Arc lamp (2), Frequency (2)	0	0	0	lines 21989-25587

Review Rules For This Source

Source text

Use the source-text link for broad reading and keyword research. Exact quotation still needs scan or source-PDF verification.

Modern explanation

Modern translations should preserve Steinmetz’s original notation and terminology before translating it into present-day engineering language.

Interpretive readings

Ether-field, Tesla-era, and philosophical readings belong in labeled interpretive sections, never in the source-fact layer.