Alan Durrant

Vectors in Physics and Engineering (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This text is an introduction to the use of vectors in a wide range of undergraduate disciplines. It is written specifically to match the level of experience and mathematical qualifications of students entering undergraduate and Higher National programmes and it assumes only a minimum of mathematical background on the part of the reader. Basic mathematics underlying the use of vectors is covered, and the text goes from fundamental concepts up to the level of first-year examination questions in engineering and physics. The material treated includes electromagnetic waves, alternating current, rotating fields, mechanisms, simple harmonic motion and vibrating systems. There are examples and exercises and the book contains many clear diagrams to complement the text. The provision of examples allows the student to become proficient in problem solving and the application of the material to a range of applications from science and engineering demonstrates the versatility of vector algebra as an analytical tool.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 298
• Erscheinungstermin: 25. Februar 2019
• Englisch
• ISBN-13: 9781351405553
• Artikelnr.: 55439529

Autorenporträt

Alan Durrant

Inhaltsangabe

Preface
1 Vector algebra I: Scaling and adding vectors
INTRODUCTION TO SCALARS
NUMBERS AND VECTORS
Scalars and numbers
Introducing vectors
Displacements and arrows
Vector notation; SCALING VECTORS AND UNIT VECTORS
Scaling a vector or multiplication of a vector by a number
Unit Vectors; VECTOR ADDITION-THE TRIANGLE ADDITION RULE
LINEAR COMBINATIONS OF VECTORS
CARTESIAN VECTORS
Cartesian coordinates of a point-a review
Cartesian unit vectors and cartesian components of a vector
 MAGNITUDES AND DIRECTIONS OF CARTESIAN VECTORS
SCALING AND ADDING CARTESIAN VECTORS
VECTORS IN SCIENCE AND ENGINEERING
Definition of a vector and evidence for vector behavior
Vector problems in science and engineering
Vector algebra II: Scalar products and vector products
THE SCALAR PRODUCT
Definition of the scalar product and projections
The scalar product in vector algebra
CARTESIAN FORM OF THE SCALAR PRODUCT
THE ANGLE BETWEEN TWO VECTORS
THE VECTOR PRODUCT
Definition of the vector product
The vector product in vector algebra
CARTESIAN FORM OF THE VECTOR PRODUCT
TRIPLE PRODUCTS OF VECTORS
The scalar triple product
The vector triple product.