A Textbook of Engineering Mathematics For UPTU (volume - II)

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A Textbook of Engineering Mathematics is a three-volume text catering to the requirements of the three-semester compulsory undergraduate course on Engineering Mathematics offered by the Uttar Pradesh Technical University. Adapted from Peter O' Neil's Advanced Engineering Mathematics, these semester-specific volumes cover all the topics delineated in the UPTU syllabus and make ideal textbooks for all undergraduate engineering students. A Textbook of Engineering Mathematics, Volume II serves as a textbook for Semester II of the course on Engineering Mathematics. Beginning with differential equations, their applications, and series solutions of differential equations, the book goes on to cover Legendre and Bessel functions and their applications, Laplace transforms and inverse Laplace transforms, and Fourier series and partial differential equations. The final two chapters of the book are devoted to the wave equation and the heat equation and their application to different branches of engineering and technology. The text is supplemented by pedagogical features such as illustrations, boxed material highlighting important theorems and definitions, solved examples including questions from previous UPTU examinations, and a large database of exercises. Lucid explanation of concepts and a simplistic approach to problem solving make for a complete undergraduate textbook. Key Features Conforms exactly to the pattern of the syllabus for the second semester Engineering Mathematics course offered by UPTU Incorporates a large number of solved and unsolved problems for each topic Elucidates all basic concepts with the aid of pedagogical features such as illustrations, definitions, and examples for easy and clear understanding Includes question papers from previous years examinations About The Author Peter V. O'Neil has more than 42 years ofexperience teaching mathematics to undergraduate and graduate students. For the last 30 years he has been Professor of Mathematics in the University of Alabama at Birmingham. A PhD in mathematics from Aligarh Muslim University, Santosh K. Sengar has been involved in teaching and research for over ten years. He is currently Assistant Professor in Indraprastha Engineering College, Ghaziabad (affiliated to UPTU). He has contributed several papers in national and international journals. His areas of research interest include non-linear analysis (metric fixed-point theory), differential equations, numerical analysis, and graph theory. Table Of Contents Unit I Differential Equations Chapter 1 First-Order Differential Equations Chapter 2 Linear Differential Equations (Nth-Order) With Constant Coefficients Chapter 3 Differential Equations Of Other Types Chapter 4 Applications Of Differential Equations Unit II Series Solutions And Special Functions Chapter 5 Series Solutions Of Differential Equations Chapter 6 Legendre Functions Chapter 7 Bessel Functions Unit III Laplace Transformation Chapter 8 Laplace Transforms And Inverse Laplace Transforms Unit IV Fourier Series And Partial Differential Equations Chapter 9 Fourier Series Chapter 10 Partial Differential Equation Unit V Applications Of Partial Differential Equations Chapter 11 Wave Equation Chapter 12 Heat Equation