Mathematical Physics: The Basics is the first of the two-volume set on Mathematical Physics written for the postgraduate students (M.Sc/Ph.D.) of Physics and Chemistry. Engineering students (BE/ME) will also find the book useful. This book covers the basic topics such as vectors and Cartesian tensors, vector calculus, Lorents tensors, Curvilinera Coordinates, linear vector space and linear operators, eignevalues and eigenvectors, matrix representations and diagonilization of matrices, complex varibales, analytic functions, Taylor and Laurent series, contour integrals,residue theorem and applications, and the method of steepest descent. The highlights of the book are Many Solved problems A large number of exercises in each chapter. Connection with Physics emphasised. Concepts introduced and results elaborated intuitively, at the same time maintaining rigour. About Author : S D Joglekar is a Professor of Physics at the Indian Institute of Technology Kanpur, with over 20 years of teaching experience at the postgraduate level and over 25 years of research experience in High Energy Physics. He received his Ph.D. in 1975 from the State University of New York at Stony Brook for theoretical investigations in gauge theories. he has done post-doctoral work at FErmilab, Institute of advanced Study, Princeton and University of California, Berkeley. He received the Institute Medal of IIT Bombay in 1971 for obtaining the highest marks in all branches of M.Sc. He Is a fellow of the Indian National Academy of Sciences, Allahabad and Maharashtra Academy of Sciences. he has received highest recognitions both from Amercan Biographical Institute, USA and International Biographical Centre, UK. Contents : Preface Coordinate Transforamtions, Vector and Cartesian Tensors Lorents Transforamtion, 4-Vectors and 4-Tensors Curvilinear Coordinates Linear