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  Book Details




Differential Calculus
Rao, S. Balachandra
Shantha, C.K.
PRINTED BOOK DETAILS:
ISBN : 978-81-224-0308-4
Publication Year : 1992
Edition : 2nd
Reprint : Feb, 2014
Pages : 528
Price : $ 15.00
Binding : Paperback
      
About the Book:

This book is designed to be used for class-room teaching for a course in Differential Calculus at the undergraduate level and also as a reference book for others who need the use of Differential Calculus. The book is designed in accordance with the syllabus in Differential Calculus prescribed in most of the Indian universities.

The following are some of the special features of this textbook:
  • In addition to the theoretical treatment of the topics in Differential Calculus, due respect is given to application-oriented approach through various illustrations and exercises drawn from practical sciences.
  • The graphical and numerical approach provided in the text enhances the appreciation and understanding of the concepts involved.
  • A large number of worked examples and exercises, with answers, drawn from various examination papers of Indian and foreign universities are included.
  • Biographical notes and historical snippets have been added with a view to motivating and inspiring the students. Brief life-sketches and contributions of great mathematicians like Sir Isaac Newton and Leibniz form part of the book.
  • The unique and pioneering aspect of the present book is that a large number of computer programs and graphic printouts for various topics inDifferential Calculus are included. The fascinating potential of graphics, for the understanding of calculus, on a computer is well brought out through computer programs which can be readily worked on an IBM-compatible PC. further, in order to make the programs useful to students and amateurs who have access only to the popular home-computers interesting programs which can be, run on the very popular BBC microcomputer and Sinclair Spectrum have also been provided.
Very interesting graphics of Evolutes of famous curves and Envelopes of families of curves along with their ready-to-work programs add to the value of the book.


Contents:

  • Preliminaries, Limits and Continuity
  • Differentiation
  • Tangents and Normals
  • Successive Differentiation
  • Mean Value Theorems
  • Indeterminate Forms
  • Curvature and Evolutes
  • Functions of Two Variables and Partial Differentiation
  • Concavity, Convexity and Inflexion, Maxima and Minima, Envelopes
  • Asymptotes
  • Singular Points
  • Curves and Curve-sketching.

Audience:
Mathematics

 

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