Mathematics for marine engineers / Leslie Jackson, William Embleton OBE.

Format:

Book

Author/Creator:

Corner, Kevin, author.

Jackson, Leslie, 1929- author.

Contributor:

Embleton, William.

Series:

Reeds marine engineering and technology ; 1.

Reeds marine engineering and technology ; 1

Language:

English

Subjects (All):

Marine engineering--Mathematics--Textbooks.

Marine engineering.

Marine engineering--Mathematics--Examinations, questions, etc.

Marine engineers--Examinations--Study guides.

Marine engineers.

Marine Engineering.

Local Subjects:

Marine Engineering.

Physical Description:

1 online resource (657 p.)

Edition:

Eighth edition / revised by Kevin Corner.

Place of Publication:

London : Bloomsbury Publishing, 2020.

Language Note:

English

System Details:

text file

HTML

Summary:

"This indispensible guide to ship stability covers topics such as flotation and buoyancy, small angle, large angle and longitudinal stability, water density effects, bilging, ship resistance, and advanced hydrostatics. Each chapter has a comprehensive list of aims and objectives at the start of the topic, followed by a check-list at the end of the topic for students to ensure that they have developed all the relevant skills before moving onto the next topic area. The book features over 170 worked examples with fully explained solutions, enabling students to work through the examples to build up their knowledge and develop the necessary key skills. The worked examples, which range in difficulty from very simple one-step solutions to SQA standard exam questions and above, are predominantly based on a hypothetical ship, with the reader supplied with extracts from a typical data book for the ship which replicates those found on real ships, enabling the reader to develop and practise real-life skills"--Abstract.

Contents:

Cover; Copyright; Contents; PREFACE; 1 INDICES AND LOGARITHMS; Indices; Behaviour of Indices; Logarithms; Test Examples 1; 2 ALGEBRA; Simplification of Algebraic Expressions; Highest Common Factor (HCF) and Lowest Common Multiple (LCM); Algebraic Fractions; Expansions and Factors; Polynomial Division; Factorisation; Evaluation; Test Examples 2; 3 SIMPLE EQUATIONS; Further Examples on Simple Equations; Summary of the Important Points; Practical Problems Involving Simple Equations; Further Problems; Problems Involving Simple Equations; Transposition of Formulae; Partial Fractions

Logarithmic or Indicial EquationsTest Examples 3; 4 SIMULTANEOUS EQUATIONS; Two Unknowns Where the Coefficients Are Whole Numbers; Two Unknowns Where the Coefficients Are Fractions; Two Unknowns Where the Coefficients Are Decimals; Two Unknowns Involving Reciprocals; Practical Problems: Simultaneous Equations in Two Unknowns; A More Complicated Situation; Test Examples 4; 5 QUADRATIC EQUATIONS; Solution by Factorisation; Solution by 'Completing the Square'; Solution of Quadratic Equations by Formula; Simultaneous Equations - One Linear and One Quadratic; Recap: Polynomial Division

Function NotationCubic Equations; The Factor Theorem; Test Examples 5; 6 GRAPHS; Plotting of Straight-Line Graphs; Determining the Equation to a Straight-Line Graph; Graphical Solution of Simultaneous Linear Equations; Graphical Solution of Quadratic Equations; Graphical Solution of Simultaneous Quadratic and Linear Equations; Determination of laws; Curve Sketching; Test Examples 6; 7 TRIGONOMETRY AND GEOMETRY; Measurement of Angles; Trigonometric Ratios; Alternative Notation for the Right-Angled Triangle, ABC; Properties of Angles and Straight Lines; Theorem of Pythagoras

Examples Where Trigonometry can be UsedBearings; Coordinate Systems; The Equation of a Sine Wave; Sinusoidal Waveforms; Addition of Sine Waves of Equal Frequency; Theory; Relationships Between Sine, Cosine and Tangents of Angles; Identities; Introduction to Hyperbolic Functions; Hyperbolic Identities; Solving Equations Using Hyperbolic Functions; Addition of sinh(ax) and cosh(ax); Basic Hyperbolic Trigonometric Identities; Latitude and Longitude; Longitude and Time; Test Examples 7; Circle Theorems; Definition; 8 SOLUTION OF TRIANGLES; Inverse Trigonometric Functions

Cosine Rule and the Sine Rule for Non-Right-Angled TrianglesPlane Trigonometry - Sine and Cosine Rules; Application of Trigonometry; Areas of Triangles; Double Angles; Test Examples 8; 9 MENSURATION OF AREAS; Units; Sector of a Circle; Segment of a Circle; Ellipse; Surface of a Cylinder; Surface of a Sphere; Test Examples 9; 10 VOLUME - MASS, CENTRE OF GRAVITY, MOMENT; Prisms; Pyramids; Oblique Prisms and Pyramids; Frustums; Test Examples 10; 11 DIFFERENTIAL CALCULUS (DIFFERENTIATION); Gradient of a Straight Line; Infinitesimally Small Changes 'd'; Zero Gradient; Gradient of a Curve

Differentiation from First Principles

Notes:

"This new edition is a major update in the subject and learning methods, and brings the material for study completely up to date"--Preface.

Previous edition published as: Reed's mathematics for engineers / William Embleton ; revised by Leslie Jackson. East Molesey : Thomas Reed, 1997.

Original edition published as: Reed's mathematics for marine engineers / William Embleton. 1961.

Includes index.

Related Work:

Embleton, William. Reed's mathematics for engineers.

Embleton, William. Reed's mathematics for marine engineers.

ISBN:

9781472974037

1472974034

9781472987518

1472987519

9781523104086

1523104082

9781408175569

1408175568

OCLC:

854973587