Textbook in PDF format

The emphasis of the book is the application of numerical methods for the solution of equation(s) - linear, non-linear (algebraic), differential equations (ordinary and partial) - that occur in most engineering disciplines. There is a common theme running through all these topics and hence the book has been arranged in a particular way, the chapters being grouped into four Modules. The authors recommend that the reader go through Modules I and II serially and then take up Modules III and IV in any order. The reader is encouraged to do the worked examples on his/her own using any accessible computer resource so as to get a feel for the numerical methods discussed in the text. The reader may also go beyond the book and perform grid sensitivity, parametric study, stability analysis using the worked examples given in the book. The reader may also try different algorithms and study their relative merits and demerits. Spreadsheet programs such as EXCEL (part of Microsoft Office suite) operating under Windows or free software LibreOfficeCalc working on Linux platform, may be used for simple problems. More complex problems may be approached better by MATLAB about which an introduction has been provided in the book. Several MATLAB programs have also been given in the book. The reader may use these and also develop his/her own MATLAB codes.
This book is definitely not for the mathematician but targets the users of mathematics, specifically from engineering disciplines. The emphasis is not on mathematical rigor (even though it is very important) but utility in the context of engineering (applied mathematics). Important principles of computational methods are brought out via worked examples with obvious connection to real life engineering applications