Topics In Mathematics I (bangalore University, Karnataka)

The underlying object of this book is to provide the reader with the thorough understanding of topics included in the syllabus of mathematics for B.A./B.Sc. students The salient features of the book are as follows :

• It exactly covers the prescribed syllabus. Nothing unnecessary has been included and nothing essential has been left.
• Its approach is explanatory and language is lucid and communicable.
• The exposition of the subject matter is systematic and the students are better prepared to prove the problems.
• All fundamentals of the included topics are explained with a micro-analysis.
• Sufficient number of solved examples have been given to let the students understand the various skills necessary to solve the problems. These examples are well-graded.
• Unsolved exercises of multi-varieties have been given in a well graded style. Attempting these on their own, will enable a student to create confidence and independence in him/her regarding the understanding of the subject.
• Daily life problems and practical applications have been incorporated in the body of the text.
• A large number of attractive and accurate figures have been drawn which enable a student to grasp the subject in an easier way.
• All the answers have been checked and verified.

Table Of Contents :
UNIT I
(Mathematical Logic)
1. Mathematical Logic

UNIT II
(Ralations and Functions)
1. Relations
2. Functions

UNIT III
(Differential Calculus)
1. Successive Differentiation
2. Partial Differentiation
3. Euler's Theorem on Homogeneous Function and Total Derivative
4. Jacobians

UNIT IV
(Integral Calculus)
1. Reduction Formulae
2. Differentiation Under the Integral Sign

UNIT V
(Analytical Geometry of Three-Dimensions)
1. Direction Cosines and Direction Ratios
2. Plane
3. The Straight Line
4. Sphere
5. Right Circular Cone
6. Conicoids

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About Author :
Manish Goyal is equipped with an extraordinary calibre and appreciable academic potency. He has always been a topper throughout his educational career. He secured fourteenth position in U.P. merit in Intermediate Examination, 1994. He topped the university in 1997 in B.Sc. and in 1999 in M.Sc. He started his teaching career in September, 1999 from GLAITM, Mathura and is enjoying as the senior most faculty in the department of Mathematics there at present. He has written more than a dozen books during such a short span of time. His book on CBNST has widely been acclaimed. A number of national works are in his hand at the moment. He has enrolled himself as a research scholar in the field of Fluid Dynamics.MTA-7104