Differential Equations and Complex Analysis

₹950.00

Author / Editor

Sri P. Eswara Satyanarayana

Sri P. Eswara Satyanarayana was awarded a Master of Science in Mathematics at Andhra University, Visakhapatnam, in the year 2007. B.Sc. at Andhra University, Visakhapatnam, in the year 2004. He also completed a Bachelor of Education (B.Ed.) from Andhra University, Visakhapatnam, in the year 2011. He is now pursuing a PhD at GITAM (Deemed to be University), Visakhapatnam. Currently working as an Assistant Professor in Mathematics at Aditya Institute of Technology and Management, Tekkali-532201. He has 17 years of teaching experience. He published seven research papers in national and international journals. Received the best faculty award a couple of times for achieving 100% pass percentage of concerned courses handled for UG courses. He also successfully completed 4 NPTEL courses. He attended 50 FDPs and presented eight research papers at national and international conferences. He published 3 patents. He attended many national and international conferences and workshops.

Author / Editor

Sri K. Seetharam

Sri K. Seetharam was awarded a Master of Science in Mathematics at Andhra University, Visakhapatnam, in the year 2006. B.Sc. at Andhra University, Visakhapatnam, in the year 2004. He also completed a Bachelor of Education (B.Ed.) from Andhra University, Visakhapatnam, in the year 2007. He is now pursuing a PhD at Jawaharlal Nehru Technological University, Kakinada. Additionally, he qualified for the SET-TS&AP in 2015. Currently working as an Assistant Professor in Mathematics at Aditya Institute of Technology and Management, Tekkali-532201. He has 18 years of teaching experience. He published five research papers in national and international journals. Received the best faculty award a couple of times for achieving 100% pass percentage of concerned courses handled for UG courses. He also successfully completed 5 NPTEL courses. He attended 40 FDPs and presented 2 research papers in national and international conferences. He published 3 patents. He attended many national and international conferences and workshops.

Author / Editor

Sri TS Viswanadham

Sri TS Viswanadham was awarded a Master of Science in Mathematics at Dr. B.R. Ambedkar University, Srikakulam, in the year 2012. B.Sc. at Andhra University, Visakhapatnam, in the year 2010. He also completed a Bachelor degree in Special Education (Visual Impairment) from Andhra University, Visakhapatnam, in the year 2014. He is now pursuing a PhD at Andhra University, Visakhapatnam. Currently working as an Assistant Professor in Mathematics at Aditya Institute of Technology and Management, Tekkali-532201. He has 11 years of teaching experience. He published two research papers in national and international journals. Received the best faculty award a couple of times for achieving 100% pass percentage of concerned courses handled for UG courses. He also successfully completed 4 NPTEL courses. He attended 30 FDPs and presented 2 research papers in national and international conferences. He published 3 patents. He attended many national and international conferences and workshops.

Author / Editor

Sri Arun Kumar S

Sri Arun Kumar S was awarded a Master of Science in Statistics and Mathematics at Andhra University, Visakhapatnam, in the years 2010 and 2020, respectively. B.Sc. at Andhra University, Visakhapatnam, in the year 2008. He also completed a Bachelor of Education (B.Ed.) from Andhra University, Visakhapatnam, in the year 2014. He is now pursuing a PhD at GITAM (Deemed to be University), Visakhapatnam. Currently working as an Assistant Professor in Mathematics at Aditya Institute of Technology and Management, Tekkali-532201. He has 14 years of teaching experience. He published five research papers in national and international journals. Received the best faculty award a couple of times for achieving 100% pass percentage of concerned courses handled for UG courses. He also successfully completed 5 NPTEL courses. He attended 40 FDPs and presented 5 research papers in national and international conferences. He published 2 patents. He attended many national and international conferences and workshops.

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Description

Description

Book details

The book provides a clear exposition of essential tools of mathematics from a modem point of view and meets complete requirements of engineering students. Every effort has been made to keep the presentation at once simple and lucid. It is written with the firm conviction that a good book is one that can be read with minimum guidance from the instructor. To achieve this, more than the usual number of solved examples, followed by properly graded problems have been given. Many of the examples and problems have been selected from recent papers of various university and other engineering examinations. Basic concepts and useful Information has been given in an Appendix. However, the subject matter has been set In six main units: UNIT – I : Differential Equations of First Order and First Degree: Linear-Bernoulli-Exact-Reducible to exact. Applications: Newton’s Law of cooling- Law of natural growth and decay-Orthogonal trajectories-Electrical circuits – Chemical reactions. UNIT-II: Linear Differential Equations of Higher Order Non-homogeneous equations of higher order with constant coefficients with RHS term of the type eax, sinax, cosax, polynomials in – Method of Variation of parameters. Unit-III: Numerical Solutions of Ordinary Differential Equations: Numerical methods. Finite differences and Interpolation, Difference equations, Numerical solution of Ordinary differential equations. Unit -IV: Sequences and series Infinite series and their applications. Unit -V: Functions of Complex Variables Complex numbers and functions, Calculus of complex functions. Unit- VI: Residues Radius of convergence – Expansion in Taylor’s series, Maclaurin’s series and Laurent series. Types of Singularities: Isolated Essential-pole of order m – Residues – Residue theorem (without proof) – Evaluation of real integral of the types. An exhaustive list of Descriptive Type of Questions has been given at the end of each chapter.