000			03166nam a22002177a 4500
003			CUTN
005			20250117103048.0
008			250117b |||||||| |||| 00| 0 eng d
020			_a9789352836109
041			_aEnglish
082			_a515.35 _bRAI
100			_aRaisinghania, M.D.
245			_aOrdinary and Partial Differential Equations / _cDr. M.D. Raisinghania
260			_aNew Delhi : _bS. Chand Publishing, _c2020.
300			_a560 pages : _billustrations ; _c24 cm.
505			_tPART I: ELEMENTARY DIFFERENTIAL EQUATIONS 1. Differential Equations: Their Formation and Solutions 2. Equations of First Order and First Degree 3. Trajectories 4. Equations of the First Order but Not of the First Degree and Singular Solutions and Extraneous Loci 5. Linear Differential Equations with Constant Coefficients 6. Homogeneous Linear Equations or Cauchy-Euler Equations 7. Method of Variation of Parameters 8. Ordinary Simultaneous Differential Equations 9. Exact Differential Equations and Equations of Special Forms 10. Linear Equations of Second Order 11. Applications of Differential Equations 12. Miscellaneous Methods and Existence and Uniqueness Theorem for Solutions of First Order Initial Value Problems PART II: ADVANCED ORDINARY DIFFERENTIAL EQUATIONS, FOURIER SERIES AND SPECIAL FUNCTIONS 1. Picard's Iterative Method, Picard's Theorem and Existence and Uniqueness of Solutions to First Order Initial Value Problems 2. Simultaneous Equations of the Form (dx)/P =(dy)/Q =(dz)/R 3. Total (or Pfaffian) Differential Equations 4. Beta and Gamma Functions 5. Chebyshev Polynomials 6. Fourier Series 7. Power Series 8. Integration in Series 9. Legendre Polynomials 10. Legendre Functions of the Second Kind—Qn(x) 11. Bessel Functions 12. Orthogonal Sets of Functions and Strum Liouville Problem PART III: PARTIAL DIFFERENTIAL EQUATIONS 1. Origin of Partial Differential Equations 2. Linear Partial Differential Equations of Order One 3. Non-linear Partial Differential Equations of Order One 4. Homogeneous Linear Partial Differential Equations with Constant Coefficients 5. Non-homogeneous Linear Partial Differential Equations with Constant Coefficients 6. Partial Differential Equations Reducible to Equations with Constant Coefficients 7. Partial Differential Equations of Order Two with Variable Coefficients 8. Classification of P.D.E. Reduction to Canonical or Normal Forms Riemann Method 9. Monge's Methods 10. Transport Equation 11. Cauchy Initial Value Problem for Linear First Order Partial Differential Equations Miscellaneous problems based on Part III of the book
520			_aThis well-acclaimed book, now in its twentieth edition, continues to offer an in-depth presentation of the fundamental concepts and their applications of ordinary and partial differential equations providing systematic solution techniques. The book provides step-by-step proofs of theorems to enhance students' problem-solving skill and includes plenty of carefully chosen solved examples to illustrate the concepts discussed.
650			_aDifferential equations
690			_aMathematics
942			_2ddc _cBOOKS
999			_c43930 _d43930