The subject matter of this book is an amalgamation of linear algebra and functional analysis.The main purpose of this  book is to familiarise the student with the theory of functional analysis as it synthesises  the concepts of topology, analysis and linear algebra. The book can be read with considerable ease if the reader has a sound background in the fundamentals of linear algebra. A course in linear and functional analysis takes off from where the theory of linear transformations on finite dimensional vector spaces ends and the journey into the infinite dimensional function linear spaces begins. The structure of a norm or distance is imposed on linear spaces which facilitates the introduction of topological concepts of convergence, continuity and completeness. On the other hand, imposing an inner product on a  linear space, a new geometric structure is added which gives rise to Hilbert spaces which are enriched with bounded linear operators  and functionals with their spectral properties. 

This book will thus be useful for all those who are interested in learning about the transition from elementary linear algebra to rudiments of Hilbert space theory. It will also help the student to develop a basic understanding to delve into the plethora of applications offered by functional analysis in modern mathematics, especially in the areas of differential equations, optimisation, probability theory, medical imaging, engineering and last but not least, quantum physics.