Topics In Mathematics Iv (bangalore University, Karnatka)

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

It exacts covers the prescribed syllabus. Nothing undesirable has been included and nothing essential has been escaped.
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 students to create confidence and independence in them regarding the understanding of the subject.
Daily life problems and practical applications have been incorporated in the body of the text.
All the answers have been checked and verified.

Unit I (Group Theory)
1. Normal Subgroups, 2. Quotient Groups, 3. Homomorphism and Isomorphism of Groups, 4. Permutation Group, Transformation Group and Cayley Theorem

Unit II (Differential Calculus)
1. Functions of Two Variables: Limits and Continuity, 2. Functions of Two Variables: Differentiability, 3. Taylor Theorem and Expansion of Functions of Two Variables, 4. Maxima and Minima of Functions of Two Variables, 5. Method of Lagrange Multipliers.

Unit III (Beta and Gamma Functions)
1. Beta and Gamma Functions

Unit IV (Differential Equations)
1. Linear Differential Equations and Constant Coefficients, 2. Cauchy-Euler Differential Equation, 3. Simultaneous Linear Differential Equations (Two Variables) with Constant Coefficients, 4. Ordinary Linear Differential Equaions with Variable Coefficients, 5. Simultaneous Equations of the form dx/P=dy/Q=dz/R, 6. Exact Differential Equations 7. Total Differential equations.

Unit V (Laplace Transforms)
1. Laplace Transforms, 2. Inverse Laplace Transforms, 3. Applications to Differential Equations.

Unit VI (Linear Programming)
1. Preliminaries, 2. Linear Programming Problems (Formulation and Graphic Method), 3. Linear Programming Problems (Simplex Method)

Model Test Papers (Solved)

N. P. Bali

N. P. Bali is a prolific author
of over 100 books for degree and engineering students.  He has been writing books for nearly 40 years.

His books on the following topics are well known for their easy comprehension and lucid presentation: Algebra, Trigonometry, Differential Calculus, Integral Calculus, Real Analysis, Co-ordinate Geometry, Statics, Dynamics, etc.

Manish Goyal

Manish Goyal is equipped with an extraordinary caliber and appreciable academic potency. He has always been
synonymous with the word merit and excellence right from his student career. he brought name for himself when he topped the University in M.Sc. His Mathematical genius is what he received in legacy from his father, also a renowned mathematician.
With his six years of teaching career as a lecturer in G.L.A. Institute of Technology and Management, Mathura; he has made a subject, which horrifies many, into a simple one.
He has authored more than three dozen books during such a short span. Out of these, he has written fifteen books on Engineering mathematics for Engineering Colleges of Various Universities, the prominent among them are U.P. Technical University, Lucknow, R.G.P.V, Bhopal, Anna University, Chennai and Punjab Technical University, Jallandhar. His book on C.B.N.S.T. (Computer Based Numerical and Statistical Techniques) has widely been acclaimed. He is a very successful teacher. The welfare of students is reflected in his works. He has high hopes to be fulfilled in the near future.