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Mathematical Physics (As per UGC CBCS) Eastern India Universities
Mathematical Physics is a branch of mathematical analysis that emphasizes on the tools and techniques of a particular use to physicists as well as engineers. It focuses on Vector Spaces, Matrix Algebra, Differential Equations, Integral Equations, Integral Transforms, Infinite Series and Complex Variables.
Calculus
Author: Dr. Pragati Gautam, Dr. Arvind & Saumya Agarwal
language: en
Publisher: K.K. Publications
Release Date: 2022-03-14
this book has especially been designed to cater to the needs of the students who study ‘Calculus’ in the first semester of B.Sc.( Hons), Mathematics in the University of Delhi and other Central Universities where the CBCS curriculum is being offered. The text introduces the fundamentals of Calculus to the readers in the easiest form and is supplemented with solved examples. The Content of the book is divided into Eleven Chapters. The first chapter introduces the students to the hyperbolic trigonometric functions. Becoming familiar with the circular trigonometric functions, a student will thus connect with the book through this chapter very easily. The second chapter is an introduction to higher-order derivatives followed by a chapter on applications of the derivative. The second and third chapters later connect with chapter seven on Reduction formulae, while the fourth chapter on L’Hopital rule, fifth on Parametric curves and the sixth one on Polar Coordinates may be studied independently. Chapters five and six together offer a good introduction to the methods of Tracing of curves and are further applied to the study of Conic sections in chapter nine. Chapters eight and eleven are applications of the derivative and integrals in computing Area and Volume and Modeling ballistic and Planetary motions respectively. These modeling methods would utilize almost everything the reader has studied from chapters one to nine, and hence offering a (viii) panoramic view of the concepts of calculus. The tenth chapter provides a quick introduction to the methods of calculus for Vector-Valued functions and gives a foundation for the study of multivariate calculus which they will study in the next semester.
Ordinary and Partial Differential Equations
This book has been designed for Undergraduate (Honours) and Postgraduate students of various Indian Universities.A set of objective problems has been provided at the end of each chapter which will be useful to the aspirants of competitve examinations