Differential Equations With Applications and Historical Notes 2nd Edition

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9780070530713: Differential Equations With Applications and Historical Notes 2nd Edition

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Simmons
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ISBN 10 : 0070530718 ISBN 13 : 9780070530713
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Simmons
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Description du livre Mc Graw Hill India, 2004. Soft cover. État : New. International Edition. Territorial restriction maybe printed on the book. International Edition. Different ISBN and Cover image but contents are same as US edition. N° de réf. du libraire 341008

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Simmons
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George Simmons
Edité par Tata McGraw-Hill Education Pvt. Ltd. (2016)
ISBN 10 : 0070530718 ISBN 13 : 9780070530713
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Description du livre Tata McGraw-Hill Education Pvt. Ltd., 2016. Softcover. État : New. 2nd edition. 15 x 22 cm. A revision of a much-admired text distinguished by the exceptional prose and historical/mathematical context that have made Simmons` books classics. The Second Edition includes expanded coverage of Laplace transforms and partial differential equations as well as a new chapter on numerical methods. Table of contents Preface to the Second Edition Preface to the First Edition Suggestions for the Instructor PART 1 THE NATURE OF DIFFERENTIAL EQUATIONS. SEPARABLE EQUATIONS Chapter 1. Introduction Chapter 2. Gemeral Remarks on Solutions Chapter 3. Families of Curves. Orthogonal Trajectories Chapter 4. Growth, Decay, Chemical Reactions, and Mixing Chapter 5. Falling Bodies and Other Motion Problems Chapter 6. The Brachistochrone. Fermat and the Bernoullis PART 2 FIRST ORDER EQUATIONS Chapter 7. Homogeneous Equations Chapter 8. Exact Equations Chapter 9. Integrating Factors Chapter 10. Linear Equations Chapter 11. Reduction of Order Chapter 12. The Hanging Chain. Pursuit Curves Chapter 13. Simple Electric Circuits PART 3 SECOND ORDER LINEAR EQUATIONS Chapter 14. Introduction Chapter 15. The General Solution of the Homogeneous Equation Chapter 16. The Use of a Known Solution to Find Another Chapter 17. The Homogeneous Equation with Constant Coefficients Chapter 18. The Method of Undetermined Coefficients Chapter 19. The Method of Variation and Parameters Chapter 20. Vibrations in Mechanical and Electrical Systems Chapter 21. Newton`s Law of Gravitation and the Motions of the Planets Chapter 22. Higher Order Linear Equations. Coupled Harmonic Oscillators Chapter 23. Operator Methods for Finding Particular Solutions Appendix A. Euler Appendix B. Newton PART 4 QUALITATIVE PROPERTIES OF SOLUTIONS Chapter 24. Oscillations and the Sturm Separation Theorem Chapter 25. The Sturm Comparison Theorem PART 5 POWER SERIES SOLUTIONS AND SPECIAL FUNCTIONS Chapter 26. Introduction. A Review of Power Series Chapter 27. Series Solutions of First Order Equations Chapter 28. Second Order Linear Equations. Ordinary Points Chapter 29. Regular Singular Points Chapter 30. Regular Singular Points (Continued) Chapter 31. Gauss`s Hypergeometric Equation Chapter 32. The Point at Infinity Appendix A. Two Convergence Proofs Appendix B. Hermite Polynomials and Quantum Mechanics Appendix C. Gauss Appendix D. Chebyshev Polynomials and the Minimax Property Appendix E. Riemann`s Equation PART 6 FOURIER SERIES AND ORTHOGONAL FUNCTIONS Chapter 33. The Fourier Coefficients Chapter 34. The Problem of Convergence Chapter 35. Even and Odd Functions. Cosine and Sine Series Chapter 36. Extension to Arbitrary Intervals Chapter 37. Orthogonal Functions Chapter 38. The Mean Convergence of Fourier Series Appendix A. A Pointwise Convergence Theorem PART 7 PARTIAL DIFFERENTIAL EQUATIONS AND BOUNDARY VALUE PROBLEMS Chapter 39. Introduction. Historical Remarks Chapter 40. Eigenvalues, Eigenfunctions, and the Vibrating String Chapter 41. The Heat Equation Chapter 42. The Dirichlet Problem for a Circle. Poisson`s Integral Chapter 43. Sturm-Liouville Problems Appendix A. The Existence of Eigenvalues and Eigenfunctions PART 8 SOME SPECIAL FUNCTIONS OF MATHEMATICAL PHYSICS Chapter 44. Legendre Polynomials Chapter 45. Properties of Legendre Polynomials Chapter 46. Bessel Functions. The Gamma Function Chapter 47. Properties of Bessel functions Appendix A. Legendre Polynomials and Potential Theory Appendix B. Bessel Functions and the Vibrating Membrane Appendix C. Additional Properties of Bessel Functions PART 9 LAPLACE TRANSFORMS Chapter 48. Introduction Chapter 49. A Few Remarks on the Theory Chapter 50. Applications to Differential Equations Chapter 51. Derivatives and Integrals of Laplace Transforms Chapter 52. Convolutions and Abel`s Mechanical Problem Chapter 53. More about Convolutions. The Unit Step and Impulse Functions Appendix A. L Printed Pages: 649. N° de réf. du libraire 24203

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George F. Simmons
ISBN 10 : 0070530718 ISBN 13 : 9780070530713
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Description du livre Softcover. État : New. 2nd edition. Brand New; Paperback; Black & White or Color International Edition. ISBN and Cover page may differ but similar contents as US edition. GET IT FAST in 3-5 business days by DHL/FEDEX with tracking number. Books printed in English. No shipping to PO Box/APO/FPO address. In some instances, the international textbooks may have different end chapter case studies and exercises. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" and "Content may different from U.S. Edition" - printed only to discourage U.S. students from obtaining an affordable copy. The U.S. Supreme Court has asserted your right to purchase international editions, and ruled on this issue. Access code or CD is not provided with these editions, unless specified. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. Customer satisfaction guaranteed. N° de réf. du libraire INAB113235

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George F. Simmons
ISBN 10 : 0070530718 ISBN 13 : 9780070530713
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Description du livre Softcover. État : New. 2nd edition. Brand New; Paperback; Black & White Edition. GET IT FAST in 3-5 business days by DHL/FEDEX with tracking number. Books printed in English. No shipping to PO Box/APO/FPO address. In some instances, the international textbooks may have different end chapter case studies and exercises. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" and "Content may different from U.S. Edition" - printed only to discourage U.S. students from obtaining an affordable copy. The U.S. Supreme Court has asserted your right to purchase international editions, and ruled on this issue. Access code or CD is not provided with these editions, unless specified. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. Customer satisfaction guaranteed. N° de réf. du libraire INABINIS113235

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7.

George Simmons
Edité par Tata McGraw-Hill Education Pvt. Ltd. (2016)
ISBN 10 : 0070530718 ISBN 13 : 9780070530713
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Description du livre Tata McGraw-Hill Education Pvt. Ltd., 2016. Softcover. État : New. 2nd edition. 15 x 22 cm. A revision of a much-admired text distinguished by the exceptional prose and historical/mathematical context that have made Simmons` books classics. The Second Edition includes expanded coverage of Laplace transforms and partial differential equations as well as a new chapter on numerical methods. Table of contents Preface to the Second Edition Preface to the First Edition Suggestions for the Instructor PART 1 THE NATURE OF DIFFERENTIAL EQUATIONS. SEPARABLE EQUATIONS Chapter 1. Introduction Chapter 2. Gemeral Remarks on Solutions Chapter 3. Families of Curves. Orthogonal Trajectories Chapter 4. Growth, Decay, Chemical Reactions, and Mixing Chapter 5. Falling Bodies and Other Motion Problems Chapter 6. The Brachistochrone. Fermat and the Bernoullis PART 2 FIRST ORDER EQUATIONS Chapter 7. Homogeneous Equations Chapter 8. Exact Equations Chapter 9. Integrating Factors Chapter 10. Linear Equations Chapter 11. Reduction of Order Chapter 12. The Hanging Chain. Pursuit Curves Chapter 13. Simple Electric Circuits PART 3 SECOND ORDER LINEAR EQUATIONS Chapter 14. Introduction Chapter 15. The General Solution of the Homogeneous Equation Chapter 16. The Use of a Known Solution to Find Another Chapter 17. The Homogeneous Equation with Constant Coefficients Chapter 18. The Method of Undetermined Coefficients Chapter 19. The Method of Variation and Parameters Chapter 20. Vibrations in Mechanical and Electrical Systems Chapter 21. Newton`s Law of Gravitation and the Motions of the Planets Chapter 22. Higher Order Linear Equations. Coupled Harmonic Oscillators Chapter 23. Operator Methods for Finding Particular Solutions Appendix A. Euler Appendix B. Newton PART 4 QUALITATIVE PROPERTIES OF SOLUTIONS Chapter 24. Oscillations and the Sturm Separation Theorem Chapter 25. The Sturm Comparison Theorem PART 5 POWER SERIES SOLUTIONS AND SPECIAL FUNCTIONS Chapter 26. Introduction. A Review of Power Series Chapter 27. Series Solutions of First Order Equations Chapter 28. Second Order Linear Equations. Ordinary Points Chapter 29. Regular Singular Points Chapter 30. Regular Singular Points (Continued) Chapter 31. Gauss`s Hypergeometric Equation Chapter 32. The Point at Infinity Appendix A. Two Convergence Proofs Appendix B. Hermite Polynomials and Quantum Mechanics Appendix C. Gauss Appendix D. Chebyshev Polynomials and the Minimax Property Appendix E. Riemann`s Equation PART 6 FOURIER SERIES AND ORTHOGONAL FUNCTIONS Chapter 33. The Fourier Coefficients Chapter 34. The Problem of Convergence Chapter 35. Even and Odd Functions. Cosine and Sine Series Chapter 36. Extension to Arbitrary Intervals Chapter 37. Orthogonal Functions Chapter 38. The Mean Convergence of Fourier Series Appendix A. A Pointwise Convergence Theorem PART 7 PARTIAL DIFFERENTIAL EQUATIONS AND BOUNDARY VALUE PROBLEMS Chapter 39. Introduction. Historical Remarks Chapter 40. Eigenvalues, Eigenfunctions, and the Vibrating String Chapter 41. The Heat Equation Chapter 42. The Dirichlet Problem for a Circle. Poisson`s Integral Chapter 43. Sturm-Liouville Problems Appendix A. The Existence of Eigenvalues and Eigenfunctions PART 8 SOME SPECIAL FUNCTIONS OF MATHEMATICAL PHYSICS Chapter 44. Legendre Polynomials Chapter 45. Properties of Legendre Polynomials Chapter 46. Bessel Functions. The Gamma Function Chapter 47. Properties of Bessel functions Appendix A. Legendre Polynomials and Potential Theory Appendix B. Bessel Functions and the Vibrating Membrane Appendix C. Additional Properties of Bessel Functions PART 9 LAPLACE TRANSFORMS Chapter 48. Introduction Chapter 49. A Few Remarks on the Theory Chapter 50. Applications to Differential Equations Chapter 51. Derivatives and Integrals of Laplace Transforms Chapter 52. Convolutions and Abel`s Mechanical Problem Chapter 53. More about Convolutions. The Unit Step and Impulse Functions Appendix A. L Printed Pages: 649. N° de réf. du libraire 24203

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SIMMONS
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Description du livre Paperback. État : New. This is an International Edition Brand New Paperback Same Title Author and Edition as listed. ISBN and Cover design differs. Similar Contents as U.S Edition. Standard Delivery within 6-14 business days ACROSS THE GLOBE. We can ship to PO Box address in US. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" or "For sale in Asia only" or similar restrictions- printed only to discourage students from obtaining an affordable copy. US Court has asserted your right to buy and use International edition. Access code/CD may not provided with these editions. We may ship the books from multiple warehouses across the globe including Asia depending upon the availability of inventory. Printed in English. Customer satisfaction guaranteed. N° de réf. du libraire IS9780070530713

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SIMMONS
ISBN 10 : 0070530718 ISBN 13 : 9780070530713
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Description du livre Paperback. État : New. This is an International Edition Brand New Paperback Same Title Author and Edition as listed. ISBN and Cover design differs. Similar Contents as U.S Edition. Standard Delivery within 6-14 business days ACROSS THE GLOBE. We can ship to PO Box address in US. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" or "For sale in Asia only" or similar restrictions- printed only to discourage students from obtaining an affordable copy. US Court has asserted your right to buy and use International edition. Access code/CD may not provided with these editions. We may ship the books from multiple warehouses across the globe including Asia depending upon the availability of inventory. Printed in English. Customer satisfaction guaranteed. N° de réf. du libraire US9780070530713

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Description du livre État : New. Unused New Copy in Very Good Condition International Edition Ships from India Year of Publication 0070530718. N° de réf. du libraire 191794

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