Rakesh Kumar is Reader in the Department of Mathematics Hindu College Moradabad. He did his PhD from Jamia Millia Islamia New Deihi. He is author of numerous research papers on wavelets and differential equations which have been published in various national and international journals. He has successfully organized a national conference in 2012. He is author of many text books and editor of the proceedings of the national conference. Nagendra Kumar is Reader in the Department of Mathematics MMH College Ghaziabad. He obtained his doctoral degree from Roorkee University (presently known as Indian Institute of Technology Roorkee). He worked as British Council Fellow to pursue postdoctoral studies at St. Andrews University Scotland for a year was awarded visiting associateship by Inter University Center for Astronomy and Astrophysics (IUCAA) Pune and a research award by UGC. He has published several research papers in the different fields of plasma physics solar physics and magneto hydrodynamics. He has also written many text books for undergraduate and postgraduate students.
<p><span style="color: rgb(33, 37, 41); font-family: system-ui, -apple-system, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; letter-spacing: 0.7px; text-align: justify;">Differential equations and calculus of variations arise on formulating various physical problems in applied mathematics physics and engineering in terms of mathematical equations. This book comprises two major parts: The first part on differential equations deals with the study of solutions of differential equations and partial differential equations by various methods such as series solutions laplace transform method Charpits method and Monges method.</span></p><p><span style="color: rgb(33, 37, 41); font-family: system-ui, -apple-system, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; letter-spacing: 0.7px; text-align: justify;">The second part on calculus of variation is devoted to the study of the integral problems to determine the functions such that a certain definite integral involving that function and its derivatives has maximum or minimum value. Some methods namely Eulers method Rayleigh- Ritz method Kantorovich method etc. have been described. The book covers all the contents of the course of differential equations and calculus of variations prescribed by UGC to implement it for undergraduate students studying at Indian universities. Numerous solved examples for better understanding of the subject. Applications of differential equations and calculus of variations described in separate chapters. Multiple choice questions after each section.</span><span style="color: rgb(33, 37, 41); font-family: system-ui, -apple-system, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", "Liberation Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; letter-spacing: 0.7px; text-align: justify;"><br></span><br></p>
