George Boole, an English mathematician, in 1854 has written a monumental work entitled An investigation of the Laws of Thought. In 1938, Claude E. Shannon (MIT, USA), in his classical paper entitled" A symbolic analysis of relay and switching circuits" in the Truncations of AIEE, has developed the algebra of switching functions and showed how its structure is related to the ideas established by Boole. This is a classical example of how an abstract mathematics in the 19th century became an applied mathematical discipline in the 20th century. Such is the power of mathematics , the queen of sciences. In my view the aim of Engineering Mathematics is to make the student think mathematically and develop mathematical maturity. The need for a good text book on Engineering Mathematics for students of engineering and technology in India can be easily understood. Although several books are available, almost none of them have the right combination , simplicity , rig our, pedagogy and syllabus compatibility , dealing with all aspects of the course. I am confident that this present book will be able fill this void. It gives me great pleasure to introduce HIGHER ENEINGEERING MATHEAMTICS by B.V.RAMANA the publication of which heralds the completion of book that caters completely and effectively from a modern point view of the students of Engineering mathematics and physics and computer science. This book has been organized and executed with lot of care, dedication and passion for lucidity. The author has been an outstanding teacher and has vast and varied experience in India and abroad in the field of mathematics. A conscious attempt has been made to simplify the concepts to facilitate better understanding of the subject. This book is self -contained, presentation is detailed, examples are simple, notations are modern and standard and finally the chapters are largely independent. The contents of the book are exhaustive containing Differential & integral calculus, Ordinary differential equations, Linear algebra, vector calculus, Fourier analysis, partial differential equations, complex function theory, probability & statistics, Numerical analysis and finally special topics Linear programming and calculus of variations. Dr. Ramana, a senior most professor of Jawaharlal Nehru Technological University, Hyderabad deserves our praise and thanks