000			02978nam a22002177a 4500
003			IIITD
005			20240504141907.0
008			240410b xxu||||| |||| 00| 0 eng d
020			_a9789395654210
040			_aIIITD
082			_a517 _bKGS-I
100			_aK. G., Sreekumar
245			_aIntegral calculus : _bdifferential equations with geogebra _cby Sreekumar K. G.
260			_aNew Delhi : _bViva Books, _c©2023
300			_axxiii, 256 p. : _bill. ; _c23 cm.
505			_tChapter 1. Integration • Integration • Estimating with Finite Sums • Difference Between Displacement and Distance Travelled • Riemann Sums _tChapter 2. Methods of Integration • Integration by Substitution • Integration by Partial Fractions • Integration by Parts _tChapter 3. Applications of Integration • Area Under a Curve • Area between curves • Volume of a Solid • Solids of revolution • Solved examples _tChapter 4. Formation of Differential Equations and Their Solutions • Differential Equations • Formation of a Differential Equation • Differential Equations of First Order and First Degree • Solution, Slope Fields • Variable Separable Equations _tChapter 5. Solutions of Linear Differential Equations • Linear Differential Equations • Picard’s Theorem • Bernoulli’s Differential Equations • Applications _tChapter 6. Solutions of Exact Differential Equations • Homogeneous Differential Equations • Exact Differential Equations • Euler’s Method _tChapter 7. Orthogonal Trajectories of Curves • Orthogonal Trajectories • Cartesian Coordinates • Polar Coordinates
520			_aThe book begins with the fundamental terms needed to understand integral calculus and differential equations. To help students comprehend integration and its implications in their curriculum effectively, every attempt has been made to include the GeoGebra tool. Students can perform well in mathematics after they are comfortable using GeoGebra. The main idea of the book is that calculus is a subject that requires thought rather than memorization. The examples with worked-out solutions demonstrate how to do this. For readers’ ease of application, some equations have been repeated across the chapters. Both integration techniques and applications are covered in the book. The formation of differential equations is described next and this is followed by solutions to many varieties of differential equations. The orthogonal trajectories are explained in the final chapter. Numerous techniques have been included so that students can test out various techniques during exams to ensure the accuracy of the calculations or solutions. The book differs greatly from the many calculus textbooks available since the information is kept as basic as possible. The book is intended for graduate students and researchers enrolled in engineering and mathematics courses.
650			_aMathematics
650			_aCalculus
942			_2ddc _cBK
999			_c172536 _d172536