Essential Mathematics for Engineers

Content

1. Arithmetic 
   
2. Algebra 
   
3. Geometry 
   
4. Trigonometry 
   
5. Co-ordinate Geometry 
   
6. Logorithms 
   
7. Permutations and Combinations 
   
8. Matrices and Determinants 
   
9. Series 
   
10. Calculus 
    
11. Numerical Solution of Equation 
    
12. Expansion into a Series 
    
13. Hyperbolic Functions 
    
14. Methods for Integration 
    
15. Functions of Time and Other Variables 
    
16. Areas and Volumes 
    
17. Maxima and Minima 
    
18. Graphs 
    
19. Vectors 
    
20. Argand Diagram 
    
21. Differential Equations 
    
22. Bessell’s and Legendre’s Equations 
    
23. Laplace Transform 
    
24. Fourier Series 
    
25. Mechanics’ Elementary Principles 
    
26. Rotational Motion 
    
27. Forces Acting on a Body 
    
28. Simple Harmonic Motion (or SHM) 
    
29. Structures 
    
30. Hanging Chains 
    
31. Gyroscopes 
    

Description

Elementary Mathematics for Engineers explains mathematical jargon and develops the formulae used by engineers from first principles. The first chapter is a summary so the reader can quickly see where further study is needed. The book is in two parts, pure and applied. Pure mathematics covers the following subjects;

• positive, negative, and fractional indices
  
• logarithms
  
• partial fractions
  
• irrational and complex functions
  
• trigonometrical and hyperbolic functions
  
• properties of triangles and polygons
  
• areas and volumes 
  
• rules for differentiation
  
• methods for integration
  
• differential equations
  
• Fourier analysis 
  
• Applied mathematics covers the following subjects;
  
• forces in equilibrium 
  
• equations of motion and Newton’s laws
  
• potential and kinetic energy
  
• conservation of energy
  
• momentum and angular momentum
  
• simple harmonic motion
  
• hanging chains
  
• gyroscopes
  

About the author

W. J. R. H. Pooler

ONC, MA (Cantab) class 1, CENG, MIEE, MIMechE

I studied for and obtained Ordinary National Certificate while working as an apprentice at the English Electric Co, Stafford. This included time in their high voltage laboratory. I then went to Cambridge University and passed the Mechanical Sciences Tripos after two years with First Class Honours. For the third year, I carried out further studies on heavy electrical power machines. After graduating, I joined the Iraq Petroleum Company in Kirkuk, Iraq and was later appointed Protection Engineer and System Control Engineer responsible for the operation of the high voltage network and for the hands on commissioning of all new electrical plant including 66kv and 11kv cables and lines and transformers up to 5MVA and motors up to 2000 hp.

I was then appointed Head of Electrical Engineering at Basrah Petroleum Co responsible for four power stations, 33kv and 11kv transformers, cables and lines and motors up to 1500 hp. The operation of all Instrumentation in the Production Plants and all Telecommunications in the Company was later added to my responsibilities.

This book is based on experiences gained during this period.

You can contact me on john.pooler@tiscali.co.uk