Monday, November 15, 2010

A Course In Pure Mathematics By Margaret Gow- Thoughts on the book

Basic product information from Amazon.com:

Product Description

For students reading Mathematics, either as part of a general degree or as an ancilliary course for an Honours degree, the subject should be presented in as straightforward a manners as is consistent with a moderate standard of rigour. This course in algebra, co-ordinate geometry and calculus is designed to fulfil these requirements for students at Universities, Polytechnics and Colleges of Technology.
The book contains 350 worked examples and 1550 practice examples selected mainly from university examination papers. The practice examples have been carefully graded and some hints are given with the answers so that the book may be used for private study as well as for class work.

From the Back Cover
For students reading Mathematics, either as part of a general degree or as an ancilliary course for an Honours degree, the subject should be presented in as straightforward a manners as is consistent with a moderate standard of rigour. This course in algebra, co-ordinate geometry and calculus is designed to fulfil these requirements for students at Universities, Polytechnics and Colleges of Technology.
The book contains 350 worked examples and 1550 practice examples selected mainly from university examination papers. The practice examples have been carefully graded and some hints are given with the answers so that the book may be used for private study as well as for class work.
Initial thoughts
My initial thoughts of the book "A Course in Pure Mathematics" by Margaret Gow are that is a decent book covering content in a logical order. It also has exercises after working through some examples with are always good. The exercises after the examples are not extremely hard (referring to the questions I have done so far) and there are answers present at the back.

There are 25 chapters in the book:
  • Polynomials; The remainder and factor theorems; undetermined coefficients; partial fractions
  • Theory of equations; Inequalities
  • Determinants
  • Limits and infinite series
  • Binomial, exponential and logarithmic series
  • Complex numbers
  • More complex numbers
  • Summation of series
  • Differentiation and applications
  • Integration
  • Expansions in series
  • Coordinate geometry of the straight line and circle
  • The parabola
  • The ellipse and the hyperbola
  • The straight line, curve and conic in polar coordinates
  • Coordinate geometry in three dimensions: The plane and the straight line
  • The sphere
  • The quadric
  • Partial differentiation
  • Application of integration- cartesian coordinates
  • Application of integration- polar coordinates
  • Curvature
  • Differential equations of the first order
  • Linear differentiation equations with constant coefficients
  • Spherical trigonometry
 **Note: This is an incomplete post. It will be updated as I use the book**

1 comment:

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