DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTE (Record no. 45393)

MARC details
000 -LEADER
fixed length control field 05539nam a22001697a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780070530713
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.35 SIM-D
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Simmons, George F
245 ## - TITLE STATEMENT
Title DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTE
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New Delhi
Name of publisher, distributor, etc Tata Mcgraw Hill
Date of publication, distribution, etc 2019
300 ## - PHYSICAL DESCRIPTION
Extent 629p.
500 ## - GENERAL NOTE
General note PART 1 THE NATURE OF DIFFERENTIAL EQUATIONS. SEPARABLE EQUATIONS<br/><br/>Chapter 1. Introduction<br/>Chapter 2. Gemeral Remarks on Solutions<br/>Chapter 3. Families of Curves. Orthogonal Trajectories<br/>Chapter 4. Growth, Decay, Chemical Reactions, and Mixing<br/>Chapter 5. Falling Bodies and Other Motion Problems<br/>Chapter 6. The Brachistochrone. Fermat and the Bernoullis<br/><br/><br/>PART 2 FIRST ORDER EQUATIONS<br/><br/>Chapter 7. Homogeneous Equations<br/>Chapter 8. Exact Equations<br/>Chapter 9. Integrating Factors<br/>Chapter 10. Linear Equations<br/>Chapter 11. Reduction of Order<br/>Chapter 12. The Hanging Chain. Pursuit Curves<br/>Chapter 13. Simple Electric Circuits<br/><br/><br/>PART 3 SECOND ORDER LINEAR EQUATIONS<br/><br/>Chapter 14. Introduction<br/>Chapter 15. The General Solution of the Homogeneous Equation<br/>Chapter 16. The Use of a Known Solution to Find Another<br/>Chapter 17. The Homogeneous Equation with Constant Coefficients<br/>Chapter 18. The Method of Undetermined Coefficients<br/>Chapter 19. The Method of Variation and Parameters<br/>Chapter 20. Vibrations in Mechanical and Electrical Systems<br/>Chapter 21. Newton's Law of Gravitation and the Motions of the Planets<br/>Chapter 22. Higher Order Linear Equations. Coupled Harmonic Oscillators<br/>Chapter 23. Operator Methods for Finding Particular Solutions<br/>Appendix A. Euler<br/>Appendix B. Newton<br/><br/><br/>PART 4 QUALITATIVE PROPERTIES OF SOLUTIONS<br/><br/>Chapter 24. Oscillations and the Sturm Separation Theorem<br/>Chapter 25. The Sturm Comparison Theorem<br/><br/><br/>PART 5 POWER SERIES SOLUTIONS AND SPECIAL FUNCTIONS<br/><br/>Chapter 26. Introduction. A Review of Power Series<br/>Chapter 27. Series Solutions of First Order Equations<br/>Chapter 28. Second Order Linear Equations. Ordinary Points<br/>Chapter 29. Regular Singular Points<br/>Chapter 30. Regular Singular Points (Continued)<br/>Chapter 31. Gauss's Hypergeometric Equation<br/>Chapter 32. The Point at Infinity<br/>Appendix A. Two Convergence Proofs<br/>Appendix B. Hermite Polynomials and Quantum Mechanics<br/>Appendix C. Gauss<br/>Appendix D. Chebyshev Polynomials and the Minimax Property<br/>Appendix E. Riemann's Equation<br/><br/><br/>PART 6 FOURIER SERIES AND ORTHOGONAL FUNCTIONS<br/><br/>Chapter 33. The Fourier Coefficients<br/>Chapter 34. The Problem of Convergence<br/>Chapter 35. Even and Odd Functions. Cosine and Sine Series<br/>Chapter 36. Extension to Arbitrary Intervals<br/>Chapter 37. Orthogonal Functions<br/>Chapter 38. The Mean Convergence of Fourier Series<br/>Appendix A. A Pointwise Convergence Theorem<br/><br/><br/>PART 7 PARTIAL DIFFERENTIAL EQUATIONS AND BOUNDARY VALUE PROBLEMS<br/><br/>Chapter 39. Introduction. Historical Remarks<br/>Chapter 40. Eigenvalues, Eigenfunctions, and the Vibrating String<br/>Chapter 41. The Heat Equation<br/>Chapter 42. The Dirichlet Problem for a Circle. Poisson's Integral<br/>Chapter 43. Sturm-Liouville Problems<br/>Appendix A. The Existence of Eigenvalues and Eigenfunctions<br/><br/>PART 8 SOME SPECIAL FUNCTIONS OF MATHEMATICAL PHYSICS<br/><br/>Chapter 44. Legendre Polynomials<br/>Chapter 45. Properties of Legendre Polynomials<br/>Chapter 46. Bessel Functions. The Gamma Function<br/>Chapter 47. Properties of Bessel functions<br/>Appendix A. Legendre Polynomials and Potential Theory<br/>Appendix B. Bessel Functions and the Vibrating Membrane<br/>Appendix C. Additional Properties of Bessel Functions<br/><br/><br/>PART 9 LAPLACE TRANSFORMS<br/><br/>Chapter 48. Introduction<br/>Chapter 49. A Few Remarks on the Theory<br/>Chapter 50. Applications to Differential Equations<br/>Chapter 51. Derivatives and Integrals of Laplace Transforms<br/>Chapter 52. Convolutions and Abel's Mechanical Problem<br/>Chapter 53. More about Convolutions. The Unit Step and Impulse Functions<br/>Appendix A. Laplace<br/>Appendix B. Abel<br/><br/><br/>PART 10 SYSTEMS OF FIRST ORDER EQUATIONS<br/><br/>Chapter 54. General Remarks on Systems<br/>Chapter 55. Linear Systems<br/>Chapter 56. Homogeneous Linear Systems with Constant Coefficients<br/>Chapter 57. Nonlinear Systems. Volterra's Prey-Predator Equations<br/><br/><br/>PART 11 NONLINEAR EQUATIONS<br/><br/>Chapter 58. Autonomous Systems. The Phase Plane and Its Phenomena<br/>Chapter 59. Types of Critical Points. Stability<br/>Chapter 60. Critical Points and Stability for Linear Systems<br/>Chapter 61. Stability by Liapunov's Direct Method<br/>Chapter 62. Simple Critical Points of Nonlinear Systems<br/>Chapter 63. Nonlinear Mechanics. Conservative Systems<br/>Chapter 64. Periodic Solutions. The Poincaré-Bendixson Theorem<br/>Appendix A. Poincare<br/>Appendix B. Proof of Lienard’s Theorem<br/><br/><br/>PART 12 THE CALCULUS OF VARIATIONS<br/><br/>Chapter 65. Introduction. Some Typical Problems of the Subject<br/>Chapter 66. Euler's Differential Equation for an Extremal<br/>Chapter 67. Isoperimetric problems<br/>Appendix A. Lagrange<br/>Appendix B. Hamilton's Principle and Its Implications<br/><br/><br/>PART 13 THE EXISTENCE AND UNIQUENESS OF SOLUTIONS<br/><br/>Chapter 68. The Method of Successive Approximations<br/>Chapter 69. Picard's Theorem<br/>Chapter 70. Systems. The Second Order Linear Equation<br/><br/><br/>PART 14 NUMERICAL METHODS<br/><br/>Chapter 71. Introduction<br/>Chapter 72. The Method of Euler<br/>Chapter 73. Errors<br/>Chapter 74. An Improvement to Euler<br/>Chapter 75. Higher-Order Methods<br/>Chapter 76. Systems
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://www.google.co.in/books/edition/Diffl_Eqns_Wth_Applns_Histri/4DNQIFguPt8C?hl=en&gbpv=1&dq=9780070530713&printsec=frontcover">https://www.google.co.in/books/edition/Diffl_Eqns_Wth_Applns_Histri/4DNQIFguPt8C?hl=en&gbpv=1&dq=9780070530713&printsec=frontcover</a>
901 ## - LOCAL DATA ELEMENT A, LDA (RLIN)
Acc. No. 30166
942 ## - ADDED ENTRY ELEMENTS (KOHA)
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Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Inventory number Total Checkouts Full call number Barcode Date last seen Uniform Resource Identifier Price effective from Koha item type
    Dewey Decimal Classification   Not For Loan Reference Amity Central Library Amity Central Library Applied Math 25/01/2021 SBA 975.00 SBA / 002/16/01/2021   515.35 SIM-D 30166 25/01/2021 http://epgp.inflibnet.ac.in/ 25/01/2021 Reference Book
    Dewey Decimal Classification     Text Book Amity Central Library Amity Central Library Applied Math 25/01/2021 SBA 975.00 SBA / 002/16/01/2021   515.35 SIM-D 30167 25/01/2021 http://epgp.inflibnet.ac.in/ 25/01/2021 Books
    Dewey Decimal Classification     Text Book Amity Central Library Amity Central Library Applied Math 25/01/2021 SBA 975.00 SBA / 002/16/01/2021   515.35 SIM-D 30168 25/01/2021 http://epgp.inflibnet.ac.in/ 25/01/2021 Books
    Dewey Decimal Classification     Text Book Amity Central Library Amity Central Library Applied Math 25/01/2021 SBA 975.00 SBA / 002/16/01/2021   515.35 SIM-D 30169 25/01/2021 http://epgp.inflibnet.ac.in/ 25/01/2021 Books
    Dewey Decimal Classification     Text Book Amity Central Library Amity Central Library Applied Math 25/01/2021 SBA 975.00 SBA / 002/16/01/2021   515.35 SIM-D 30170 25/01/2021 http://epgp.inflibnet.ac.in/ 25/01/2021 Books
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