BrownBag Seminar talk by Professor B V Ramana on. â€œTHE ART OF TEXT BOOK WRITING â€. Who am I?. I am B V Ramana . Ph.D. from Indian Institute of Technology, (IIT) Bombay, India. Professor & Head of Mathematics for 20 years at JN Technological University, Hyderabad, India.
“THE ART OF TEXT BOOK WRITING”
(IIT) Bombay, India.
at JN Technological University, Hyderabad, India.
Professor Sang-Gu Lee have already started writing
a text book entitled “CALCULUS” in English for Korean students.
(face -to- face) whereas a text book is a lecturer in absence. Text book is neither an encyclopedia to be elaborate nor a research paper to be brief.
For example: Pierre Simon Marquis De Laplace
( 1749-1827), French mathematician, known as the Newton of France and teacher to the French emperor Napoleon Bonaparte.
William Sealy Gosset ( 1876-1937) English statistician, who published under the pseudonym “student” .
Wronski determinant or Wronskian:
I.M.Hone (1778-1853) Polish mathematician, who changed his name to Wronski.
( starting from the simple to moderate to difficult) , quiz, true-false questions, additional hard questions.
IBI = IBTI ,IA –λI I = I(A- λ I)T I = IAT – (λ I)T I = IAT – λ ITI = IAT – λ I I
IBI =IBTI,IA –λI I = I(A- λ I)T I ⇒IAT –(λ I)TI= IAT–λ ITI = IAT – λ I I
We know that IBI = IBTI .
In the above result with B = A –λI , we have
IA – λII = I(A- λI)T I
= IAT –(λI )TI applying transposition
= IAT – λITI since transpose of a scalar λ is λ itself
= IAT –λI I since transpose of I is I itself.
“ since”; “because” , “it follows”, etc.
cannot be stolen by anybody.
So go ahead.
The world is before you.
Get name, fame and money by becoming a good author and teacher.
. Define and describe adequately all terms or variables,
in units if any.
. Label all the diagrams, tables, graphs and other pictures.
. Once a variable has been assigned a meaning, do not re-use it with a different meaning in the same context.
. There is a distinction between the definite article ( "the" ) and the indefinite articles ( "a" and "an" ).
. Be sure that the use of a term agrees with the definition
of that term.
. State all your assumptions.
4. Application of differentiation
6. Applications of integration
8. Techniques of integration
9. Further applications of integration.
10. Differential Equations
12. Infinite sequences and series
13. Vector algebra
15. Multiple integrals
16. Vector Differential calculus
17 Vector Integral calculus
18. Ordinary Differential Equations of 2nd and higher order.