Differential Calculus

Front Cover
New Age International, 2007 - 416 pages
Differential Calculus, An Outgrowth Of The Problems Concerned With Slope Of Curved Lines And The Areas Enclosed By Them Has Developed So Much That Texts Are Required Which May Lead The Students Directly To The Heart Of The Subject And Prepare Them For Challenges Of The Field. The Present Book Is An Attempt In This Regard. An Excellent Book On Differential Calculus This Book Has Been Meticulously Planned And Numerous Solved Examples Have Been Selected To Make The Subject Interesting; Besides Problems Are Given At The End Of Each Main Theorem Which Supplement The Text And By Solving Them The Reader Can Judge His Level Of Understanding Of The Given Facts.Exercises Have Been Framed By Arranging Questions In Such A Manner That After Doing Illustrative Examples, One Should Not Feel Difficulty In Solving Any Problem. Considerable Material Has Been Included Here That Covers A Large Number Of Courses. This Has Been Done To Make The Book More Flexible, To Provide A Useful Book Of Reference And To Stimulate Further Interest In The Topics.
 

Contents

REAL NUMBERS
1
CONTINUITY 27
27
DIFFERENTIABILITY
48
4
56
ROLLES THEOREM MEAN VALUE
82
5
88
9
95
INDETERMINATE FORMS
106
8
152
13
167
TANGENTS AND NORMALS
175
5
185
9
193
CURVATURE
229
ENVELOPES AND EVOLUTES
265
ASYMPTOTES
286

4
119
7
125
2
140
5
148
MULTIPLE POINTS
321
CURVE TRACING
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