Unlike other books on mathematical physics, this book is not only exhaustive but also unique in its presentation. This book contains a chapter on Linear response theory which is usually not discussed in books on mathematical physics. The language is clear and easy to understand. A few very interesting sections in the book include why the divergence, curl and del square appear so frequently, the significance of the Laplacian operator, properties of the harmonic functions and many more. On each chapter one can find something new. The physical application of most of the topics is taken from all over theoretical physics. The book discusses differential forms and topological ideas in bits and pieces. The chapter on 'operator algebra and identities' is extremely illuminating and useful. Looking for more and more books by Prof. V. Balakrishnan.