The Music of Reason: Experience the Beauty of Mathematics by Theoni Pappas

By Theoni Pappas

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The first 1/2 the booklet contains an easy-to-use tabular technique for comparing a boat's suitability for cruising; rules for practicable deck and inside lay-outs and association; the way to pick out and configure appropriate boat structures for cruising; and the way to put in apparatus for difficulty unfastened operation.

The book's moment part teaches you boat dealing with talents; middle navigational services; anchoring suggestions; climate knowing; heavy climate services; and particular abilities for long term and long-distance cruising.

CONTENTS

Preface
Acknowledgments
Introduction
PART ONE: THE BOAT
CHAPTER 1. a ship FOR CRUISING

Basic layout Parameters

Length–Beam Ratio
Keel Types
Displacement Calculations
Ballast Ratio
Displacement–Length Ratio
Overhangs
Waterplanes and Immersion
Comfort Factor
Sail Area–Displacement Ratio
Stability Curves and Ratio
Capsize Screening price and STIX Number
Maintaining Control
Speed–Length Ratio
Buttocks, Diagonals, and Aft Sections
Speed as opposed to Comfort
Getting all the way down to Details

Construction Materials
Cored Hulls and Decks
Hull-to-Deck Joints
Structural Reinforcements
Keels
Rudders and Skegs
Skegs and Propellers
Bilge Water and Tankage
Conclusion

CHAPTER 2. ON DECK

Rigs and Rigging

Rig Options
Masts, Spreaders, and Shroud Angles
Holding up the Mast
Roller-Reefing Foresails
Mainsail
Odds and Ends
Cockpits and Deck Layout

Center or Aft Cockpit
Basic Parameters and the relaxation Factor
Steering
Dodgers and Biminis
Cockpit Flooding
Deck layout and Layout
Stowage
Dealing with flooring Tackle

Bow Platform
Deck Layout
Anchor Wells
Chain Locker
Windlasses
Addendum: Carbon Fiber Masts

Lightning and different Survival Issues
CHAPTER three. CRUISING lodgings: FUSING performance AT SEA WITH convenience at the HOOK

General Considerations

Minimizing Motion
Keeping issues in Place
Insulation
Ventilation
Air Conditioning and Heating
Specific Spaces

Navigation Station
Wet Locker
Galley
Saloon
Forecabins, sector Berths, and Aft Cabins
Head Compartment
Conclusion

Addendum: Carbon Monoxide Poisoning

Carbon Monoxide Alarms
CHAPTER four. electric SYSTEMS

A Balanced System

Keeping the burden Down
The provide Side
Supplementary resources of Power
Defining the Limits
Miscellaneous DC structures Issues
DC to AC Inverters

Sizing an Inverter
DC and AC Installations
Over-Current security and High-Current Circuits

What dimension Fuse or Circuit Breaker?
High-Current Circuits
Check your individual Boat
Low-Energy Refrigeration

Efficiency
Versatility
Insulate, Insulate, Insulate
Enhancing Performance
Effective Refrigeration
Low-Energy Lighting

Fluorescent Lights
LED Lighting
Halogen Lights
AC Systems

Safety
Corrosion
Miscellaneous AC structures Comments
Bonding, Zinc Anodes, and Lightning Protection

Stray-Current Corrosion and Bonding
Lightning Protection
Conclusion

CHAPTER five. the remainder of THE SYSTEMS

Engine and Propeller

How great an Engine?
Propeller Sizing
Propeller Matters
Peripheral Systems
Living with an Engine
Fuel and Water Tanks

Metal Tanks
Plastic Tanks
Freshwater Systems
Watermakers
Bilge Pumps

Flooding premiums and Pumping Capacities
Improving functionality: Hoses and payment Valves
Improving functionality: electric Considerations
Float Switches
Keeping Dry under Decks
Through-Hulls, Seacocks, and Hoses

Quality Through-Hulls and Seacocks
Hoses
Propane Installations

The challenge of Refills whilst Cruising
Making gear Choices

What Spares to Carry?
CHAPTER 6. ACQUISITION STRATEGIES

Defining Priorities

What measurement Boat?
To construct or to not Build
Commissioning Costs
Used-Boat Market

Refurbishing an Older Sailboat
Old Racing Boats
A Survey
Go crusing once Possible!
Cruising-Boat Questionnaire and list of fascinating Features

PART : CRUISING SKILLS
CHAPTER 7. BOAT dealing with lower than energy AND SAIL

Maneuvering below Power

Close Quarters Maneuvering less than Power
Docking (Mooring) Lines
Docking Situations
Mediterranean Moor
Getting out and in of Slips
Picking up and Leaving a Mooring
Sailing Skills

A Little conception (of varieties! )
Going to Windward
Using Telltales
Adjusting Draft
Tacking
Reaching
Running prior to the Wind
Double Headsails
Spinnakers
Cruising Spinnakers
Weather Helm and Lee Helm
Motor Sailing
Tuning a Rig

Preparatory Measurements
Static Tuning
Dynamic Tuning at Sea
CHAPTER eight. PILOTING, NAVIGATION, AND the foundations OF THE ROAD

Paper Charts

Chart Construction
Chart Terminology and Symbols
Chart Corrections
Other Nautical Publications
Buoyage platforms and Lighthouses

Lateral and Cardinal Marks
Lighthouses
Picking out Navigation Marks
Compasses and Plotting

Compass Basics
Compass deploy and Adjustment
Transferring Bearings to and from a Chart
Plotting Positions
Basic Piloting

Dead Reckoning
Estimated Positions, and Set and Drift
Fixes
Plotting Conventions
Tides, Tidal Currents, and Currents
Keeping a Logbook
Expanding the Piloting Repertoire
Complex occasions, Fog, and Coral
Electronic Navigation

Chart and GPS Datums
Electronic Charting
Radar Navigation
Rules of the Road

Basic Rules
Sound (and gentle) Signals
Navigation Lights
In Perspective

Addendum: One Person’s Ellipsoid Is one other Person’s Shipwreck

Newton as opposed to the Cassini Family
From Sphere to Ellipsoid
From Ellipsoid to Geoid
A New Age
Nautical Peculiarities
Avoiding Reefs
CHAPTER nine. ANCHORING, working AGROUND, AND KEDGING OFF

Ground Tackle

Calculating the Load
Matching the Components
Chain Rodes
Rope Rodes
How a lot Rode?
Anchor Choices
Anchoring

Anchoring Routine
Setting and Retrieving an Anchor less than Sail
Setting multiple Anchor
Retrieving (Weighing) an Anchor
Running Aground and Kedging Off

Running Aground lower than Sail
Running Aground on a emerging Tide
Running Aground on a Falling Tide
Running Aground in Tideless Waters
Towing and Salvage
CHAPTER 10. THE DITTY BAG

Modern Ropes

A examine Construction
Caring for Ropes
Marlinespike Seamanship

Knots
Eye Splices
Seizings and Whippings
Ratlines
Sails

Materials and Construction
Maintenance and Repairs
Dinghies

Hard as opposed to Inflatable
Inflatable Options
Getting a Dinghy off and on a Boat
Miscellaneous Dinghy Thoughts
Foul-Weather Gear

Features
Layering and the Extremities
Safety-Related Equipment

Life Jackets and Harnesses
Crew Overboard Maneuvers
Fire Extinguishers
CHAPTER eleven. climate PREDICTIONS AND HEAVY-WEATHER SAILING

Basic Theory

Adding Wind and placing a Spin on those Processes
Pressure adjustments, Isobars, and Wind Direction
Relative Humidity, Air lots, balance, and Instability
Frontal Systems
The Jet circulation and the 500-Millibar Chart
The tremendous Picture
Coastal Cruising: placing thought to Use

Onshore and Offshore Winds
Thunderstorms
Fog
Offshore Cruising: placing concept to Use

Things to Monitor
Signs of Change
Ocean Currents
Extreme climate Situations

Hurricanes and Typhoons
Rapidly Intensifying Lows (Meteorological Bombs)
Microbursts
Heavy-Weather Sailing

Being Prepared
Heaving-To
Lying Ahull
Running Off
Sea Anchors
Dealing with Flooding
Abandoning Ship
Conclusion

CHAPTER 12. prolonged CRUISING AND STAYING IN TOUCH

Logistical Considerations

Provisioning
Ensuring secure Water
Environmental Issues
Finding Crew
Financial issues and Insurance
Bureaucracy
Children Onboard
Staying Healthy

Seasickness
Good healthiness in Tropical Climates
Diarrhea
Childhood Infections and Infestations
Avoiding Mosquito-Borne and different Transmittable Diseases
Cuts, Scratches, Insect Bites, and Marine Hazards
Staying in Touch

Big send Developments
VHF Radio
Marine SSB and Ham SSB Radio
Inmarsat
Satellite and mobile (Mobile) Phones
E-Mail
Making Decisions
Snail Mail
Postscript
Bibliography
Metric Conversions and Trademarks
Index

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Denotational Semantics: Scott-Strachey Approach to Programming Language Theory

"First book-length exposition of the denotational (or `mathematical' or `functional') method of the formal semantics of programming languages (in distinction to `operational' and `axiomatic' approaches). Treats several types of languages, starting with the pure-lambda-calculus and progressing via languages with states, instructions, jumps, and assignments.

Extra resources for The Music of Reason: Experience the Beauty of Mathematics Through Quotations

Example text

James Joseph Sylvester (1814-1897) ratios - exponential curves . periodic functions - computers Music is the pleasure the human soul experiences from counting without being aware it is counting. -Gottfried Leibniz (1646-1716) 41 f Drawing 1y Leonardo da Vincl. Mathematics rightly viewed possesses not only truth, but supreme beauty-a beauty cold and austere, like that of sculpture. yet sublimely pure, and capableof a stern perfection such as only the greatest art can show. - Bertrand Russell (1872-1970) 42 There is music even in the beauty, and the silent note which Cupid strikes,far sweeter than the sound of an instrument;forthere is music wherever there is harmony, order, or proportion;and thus far we may maintain the music of the spheres.

One proof of the, Pythagorean theorem would suffice for most people, but not the mathematician. One geometry is enough for most of us to study, but not for mathematicians. Give them a problem to solve, and they are in heaven. Mathematicians rise to the challenge of mental marathons. What other group would one find spending centuries trying to prove Fermat's Last Theorem, let alone all the other impossiblel" problems that have been solved or are awaiting a new mathematician to tackle. Who looks for ever larger prime numbers?

Here an impossible or insignificant concept blossoms into an essential mathematical force Eratosthenes' ancient method for sifting out prime numbers evolved to electronic locks and keys used in cryptography. One thing always leads to the next in the endless evolution of the mysterious sequence of mathematical ideas. And 5o it is futile to compartmentalize mathematics by such designations as arithmetic, algebra, geometry, trigonometry, topology, calculus- each area relies on the legacies of the past and should be considered the world mathematics.

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