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 Haberman, Richard, 1945
 5th ed.  Boston : Pearson, c2013.
 Description
 Book — xix, 756 p. : ill. ; 24 cm.
 Summary

This book emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.
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CME20401, ME300B01
 Course
 CME20401  Partial Differential Equations in Engineering
 Instructor(s)
 Lele, Sanjiva K
 Course
 ME300B01  Partial Differential Equations in Engineering
 Instructor(s)
 Lele, Sanjiva K
 Boyce, William E.
 Tenth edition.  Hoboken, NJ : Wiley, [2012]
 Description
 Book — xix, 809 pages : illustrations ; 27 cm
 Summary

 Chapter 1 Introduction 1 1.1 Some Basic Mathematical Models Direction Fields 1 1.2 Solutions of Some Differential Equations 10 1.3 Classification of Differential Equations 19 1.4 Historical Remarks 26
 Chapter 2 First Order Differential Equations 31 2.1 Linear Equations Method of Integrating Factors 31 2.2 Separable Equations 42 2.3 Modeling with First Order Equations 51 2.4 Differences Between Linear and Nonlinear Equations 68 2.5 Autonomous Equations and Population Dynamics 78 2.6 Exact Equations and Integrating Factors 95 2.7 Numerical Approximations: Euler's Method 102 2.8 The Existence and Uniqueness Theorem 112 2.9 First Order Difference Equations 122
 Chapter 3 Second Order Linear Equations 137 3.1 Homogeneous Equations with Constant Coefficients 137 3.2 Solutions of Linear Homogeneous Equations the Wronskian 145 3.3 Complex Roots of the Characteristic Equation 158 3.4 Repeated Roots Reduction of Order 167 3.5 Nonhomogeneous Equations Method of Undetermined Coefficients 175 3.6 Variation of Parameters 186 3.7 Mechanical and Electrical Vibrations 192 3.8 Forced Vibrations 207
 Chapter 4 Higher Order Linear Equations 221 4.1 General Theory of nth Order Linear Equations 221 4.2 Homogeneous Equations with Constant Coefficients 228 4.3 The Method of Undetermined Coefficients 236 4.4 The Method of Variation of Parameters 241
 Chapter 5 Series Solutions of Second Order Linear Equations 247 5.1 Review of Power Series 247 5.2 Series Solutions Near an Ordinary Point, Part I 254 5.3 Series Solutions Near an Ordinary Point, Part II 265 5.4 Euler Equations Regular Singular Points 272 5.5 Series Solutions Near a Regular Singular Point, Part I 282 5.6 Series Solutions Near a Regular Singular Point, Part II 288 5.7 Bessel's Equation 296
 Chapter 6 The Laplace Transform 309 6.1 Definition of the Laplace Transform 309 6.2 Solution of Initial Value Problems 317 6.3 Step Functions 327 6.4 Differential Equations with Discontinuous Forcing Functions 336 6.5 Impulse Functions 343 6.6 The Convolution Integral 350
 Chapter 7 Systems of First Order Linear Equations 359 7.1 Introduction 359 7.2 Review of Matrices 368 7.3 Systems of Linear Algebraic Equations Linear Independence, Eigenvalues, Eigenvectors 378 7.4 Basic Theory of Systems of First Order Linear Equations 390 7.5 Homogeneous Linear Systems with Constant Coefficients 396 7.6 Complex Eigenvalues 408 7.7 Fundamental Matrices 421 7.8 Repeated Eigenvalues 429 7.9 Nonhomogeneous Linear Systems 440
 Chapter 8 Numerical Methods 451 8.1 The Euler or Tangent Line Method 451 8.2 Improvements on the Euler Method 462 8.3 The RungeKutta Method 468 8.4 Multistep Methods 472 8.5 Systems of First Order Equations 478 8.6 More on Errors Stability 482
 Chapter 9 Nonlinear Differential Equations and Stability 495 9.1 The Phase Plane: Linear Systems 495 9.2 Autonomous Systems and Stability 508 9.3 Locally Linear Systems 519 9.4 Competing Species 531 9.5 PredatorPrey Equations 544 9.6 Liapunov's Second Method 554 9.7 Periodic Solutions and Limit Cycles 565 9.8 Chaos and Strange Attractors: The Lorenz Equations 577
 Chapter 10 Partial Differential Equations and Fourier Series 589 10.1 TwoPoint Boundary Value Problems 589 10.2 Fourier Series 596 10.3 The Fourier Convergence Theorem 607 10.4 Even and Odd Functions 614 10.5 Separation of Variables Heat Conduction in a Rod 623 10.6 Other Heat Conduction Problems 632 10.7 TheWave Equation: Vibrations of an Elastic String 643 10.8 Laplace's Equation 658 AppendixA Derivation of the Heat Conduction Equation 669 Appendix B Derivation of theWave Equation 673
 Chapter 11 Boundary Value Problems and SturmLiouville Theory 677 11.1 The Occurrence of TwoPoint Boundary Value Problems 677 11.2 SturmLiouville Boundary Value Problems 685 11.3 Nonhomogeneous Boundary Value Problems 699 11.4 Singular SturmLiouville Problems 714 11.5 Further Remarks on the Method of Separation of Variables: A Bessel Series Expansion 721 11.6 Series of Orthogonal Functions: Mean Convergence 728 Answers to Problems 739 Index 799.
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 CME20401  Partial Differential Equations in Engineering
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 ME300B01  Partial Differential Equations in Engineering
 Instructor(s)
 Lele, Sanjiva K
3. Advanced engineering mathematics [2011]
 Kreyszig, Erwin.
 10th ed.  Hoboken, N.J. : Wiley, c2011.
 Description
 Book — xxi, 1113, 109, 130 p. : col. ill. ; 26 cm.
 Summary

The tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis, and linear algebra/differential equations.
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 ME300B01  Partial Differential Equations in Engineering
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 Lele, Sanjiva K
4. Advanced engineering mathematics [2006]
 Kreyszig, Erwin.
 9th ed.  Hoboken, NJ : John Wiley, c2006.
 Description
 Book — 1 v. (various pagings) : ill. ; 27 cm.
 Summary

 PART A: ORDINARY DIFFERENTIAL EQUATIONS (ODE'S).
 Chapter 1. FirstOrder ODE's.
 Chapter 2. Second Order Linear ODE's.
 Chapter 3. Higher Order Linear ODE's.
 Chapter 4. Systems of ODE's Phase Plane, Qualitative Methods.
 Chapter 5. Series Solutions of ODE's Special Functions.
 Chapter 6. Laplace Transforms. PART B: LINEAR ALGEBRA, VECTOR CALCULUS.
 Chapter 7. Linear Algebra: Matrices, Vectors, Determinants: Linear Systems.
 Chapter 8. Linear Algebra: Matrix Eigenvalue Problems.
 Chapter 9. Vector Differential Calculus: Grad, Div, Curl.
 Chapter 10. Vector Integral Calculus: Integral Theorems. PART C: FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS.
 Chapter 11. Fourier Series, Integrals, and Transforms.
 Chapter 12. Partial Differential Equations (PDE's).
 Chapter 13. Complex Numbers and Functions.
 Chapter 14. Complex Integration.
 Chapter 15. Power Series, Taylor Series.
 Chapter 16. Laurent Series: Residue Integration.
 Chapter 17. Conformal Mapping.
 Chapter 18. Complex Analysis and Potential Theory. PART E: NUMERICAL ANALYSIS SOFTWARE.
 Chapter 19. Numerics in General.
 Chapter 20. Numerical Linear Algebra.
 Chapter 21. Numerics for ODE's and PDE's. PART F: OPTIMIZATION, GRAPHS.
 Chapter 22. Unconstrained Optimization: Linear Programming.
 Chapter 23. Graphs, Combinatorial Optimization. PART G: PROBABILITY STATISTICS.
 Chapter 24. Data Analysis: Probability Theory.
 Chapter 25. Mathematical Statistics.
 Appendix 1: References.
 Appendix 2: Answers to OddNumbered Problems.
 Appendix 3: Auxiliary Material.
 Appendix 4: Additional Proofs.
 Appendix 5: Tables. Index.
 (source: Nielsen Book Data)
 How to Use this Student Solutions Manual and Study Guide.PART A: ORDINARY DIFERENTIAL EQUATIONS (ODEs).
 Chapter 1. FirstOrder ODEs.
 Chapter 2. SecondOrder Linear ODEs.
 Chapter 3. Higher Order Linear ODEs.
 Chapter 4. Systems of ODEs. Phase Plane. Qualitative Methods.
 Chapter 5. Series Solutions of ODEs. Special Functions.
 Chapter 6. Laplace Transforms.PART B: LINEAR ALGEBRA, VECTOR CALCULUS.
 Chapter 7. Matrices, Vectors, Determinants. Linear Systems.
 Chapter 8. Linear Algebra: Matrix Eigenvalue Problems.
 Chapter 9. Vector Differential Calculus. Grad, Div, Curl.
 Chapter 10. Vector Integral Calculus. Integral Theorems.PART C: FOURIER ANALYSIS. PARTIAL DIFFERENTIAL EQUATIONS.
 Chapter 11. Fourier Series, Integrals, and Transforms.
 Chapter 12. Partial Differential Equations (PDEs).PART D: COMPLEX ANALYSIS.
 Chapter 13. Complex Numbers and Functions.
 Chapter 14. Complex Integration.
 Chapter 15. Power Series, Taylor Series.
 Chapter 16. Laurent Series. Residue Integration.
 Chapter 17. Conformal Mapping.
 Chapter 18. Complex Analysis and Potential theory.PART E: NUMERIC ANALYSIS.
 Chapter 19. Numerics in General.
 Chapter 20. Numeric Linear Algebra.
 Chapter 21. Numerics for ODEs and PDEs.PART F: OPTIMIZATION, GRAPHS.
 Chapter 22. Unconstrained Optimization. Linear Programming.
 Chapter 23. Graphs and Combinatorial Optimization.PART G: PROBABILITY, STATISTICS.
 Chapter 24. Data Analysis. Probability Theory.
 Chapter 25. Mathematical Statistics.Photo Credits P1.
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 Introduction, General Commands.PART A. ORDINARY DIFFERENTAIL EQUATIONS (ODEs).
 Chapter 1. FirstOrder ODEs.
 Chapter 2 and
 3. Linear ODEs of Second and Higher Order.
 Chapter 4. Systems of ODEs. Phase Plane, Qualitative Methods.
 Chapter 5. Series Solution of ODEs.
 Chapter 6. Laplace Transform Method for Solving ODEs.PART B. LINEAR ALGEBRA, VECTOR CALCULUS.
 Chapter 7. Matrices, Vectors, Determinants. Linear Systems of Equations.
 Chapter 8. Matrix Eigenvalue Problems.
 Chapter 9. Vector Differential Calculus Grad, Div, Curl.
 Chapter 10. Vector Integral Calculus. Integral Theorems.PART C. FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS (PDEs).
 Chapter 11. Fourier Series, Integrals, and Transforms.
 Chapter 12. Partial Differential Equations (PDEs).PART D. COMPLEX ANALYSIS.
 CHAPTER 13. AND
 17. Complex Numbers and Functions. Conformal Mapping.
 Chapter 14. Complex Integration.
 Chapter 15. Power Series, Taylor Series.
 Chapter 16. Laurent Series. Residue Integration.
 Chapter 17. See before.
 Chapter 18. Complex Analysis in Potential Theory.PART E. NUMERIC ANALYSIS.
 Chapter 19. Numerics in General.
 Chapter 20. Numeric Linear Algebra.
 Chapter 21. Numerics for ODEs and PDEs.PART F. OPTIMIZATION GRAPHS.
 Chapter 22. Unconstrained Optimization, Linear Programming.
 Chapter 23. No examples, no problems.PART G. PROBABILITY AND STATISTICS.
 Chapter 24. Data Analysis. Probability Theory.
 Chapter 25. Mathematical Statistics.
 Appendix 1. References.
 Appendix 2. Answers to OddNumbered Problems.Index.
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CME20401, ME300B01
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 Course
 ME300B01  Partial Differential Equations in Engineering
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 Lele, Sanjiva K
 Haberman, Richard, 1945
 4th ed.  Upper Saddle River, N.J. : Pearson/Prentice Hall, c2004.
 Description
 Book — xviii, 769 p. : ill. ; 24 cm.
 Summary

 1. Heat Equation.
 2. Method of Separation of Variables.
 3. Fourier Series.
 4. Vibrating Strings and Membranes.
 5. SturmLiouville Eigenvalue Problems.
 6. Finite Difference Numerical Methods for Partial Differential Equations.
 7. Partial Differential Equations with at Least Three Independent Variables.
 8. Nonhomogeneous Problems.
 9. Green's Functions for TimeIndependent Problems.
 10. Infinite Domain ProblemsFourier Transform Solutions of Partial Differential Equations.
 11. Green's Functions for Wave and Heat Equations.
 12. The Method of Characteristics for Linear and QuasiLinear Wave Equations.
 13. A Brief Introduction to Laplace Transform Solution of Partial Differential Equations.
 14. Topics: Dispersive Waves, Stability, Nonlinearity, and Perturbation Methods. Bibliography. Selected Answers to Starred Exercises. Index.
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 ME300B01  Partial Differential Equations in Engineering
 Instructor(s)
 Lele, Sanjiva K
 Boyce, William E.
 7th ed.  New York : Wiley, 2001.
 Description
 Book — xvi, 745 p. : ill. (some col.) ; 26 cm.
 Summary

 First Order Differential Equations Second Order Linear Equations Higher Order Linear Equations Series Solutions of Second Order Linear Equations The Laplace Transform Systems of First Order Linear Equations Numerical Methods Nonlinear Differential Equations and Stability Partial Differential Equations and Fourier Series Boundary Value Problems and SturmLiouville Theory Answers to Problems Index.
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 ME300B01  Partial Differential Equations in Engineering
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 Lele, Sanjiva K
 Lamb, G. L. (George L.), 1931
 New York : Wiley & Sons, c1995.
 Description
 Book — xii, 471 p. : ill. ; 25 cm.
 Summary

 OneDimensional ProblemsSeparation of Variables. Laplace Transform Method. Two and Three Dimensions. Green's Functions. Spherical Geometry. Fourier Transform Methods. Perturbation Methods. Generalizations and First Order Equations. Selected Topics. Appendices. References. Index.
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 Course
 ME300B01  Partial Differential Equations in Engineering
 Instructor(s)
 Lele, Sanjiva K
 Strauss, Walter A., 1937
 New York : Wiley, c1992.
 Description
 Book — ix, 425 p. : ill. ; 25 cm.
 Summary

 Where PDE's come from waves and diffusions reflections and sources boundary problems Fourier series harmonic functions Green's identities and Green's functions computation of solutions threedimensional waves.
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CME20401, ME300B01
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 Lele, Sanjiva K
 Course
 ME300B01  Partial Differential Equations in Engineering
 Instructor(s)
 Lele, Sanjiva K
9. Advanced calculus for applications [1976]
 Hildebrand, Francis Begnaud.
 2d ed.  Englewood Cliffs, N.J. : PrenticeHall, c1976.
 Description
 Book — xiii, 733 p. : ill. ; 24 cm.
 Summary

 1. Ordinary Differential Equations.
 2. The Laplace Transform.
 3. Numerical Methods for Solving Ordinary Differential Equations.
 4. Series Solutions of Differential Equations Special Functions. BoundaryValue Problems and CharacteristicFunction Representations.
 5. Vector Analysis.
 6. Topics in HigherDimensional Calculus.
 7. Partial Differential Equations.
 8. Solutions of Partial Differential Equations.
 9. Solutions of Partial Differential Equations of Mathematical Physics.
 10. Functions of a Complex Variable.
 11. Applications of Analytic Function Theory.
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 ME300B01  Partial Differential Equations in Engineering
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 Street, Robert L.
 Monterey, Calif., Brooks/Cole Pub. Co. [1973]
 Description
 Book — xi, 458 p. illus. 27 cm.
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11. A first course in partial differential equations with complex variables and transform methods [1965]
 Weinberger, Hans F.
 [1st ed.].  New York, Blaisdell Pub. Co. [1965]
 Description
 Book — ix, 446 p. 26 cm.
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12. A first course in partial differential equations : with complex variables and transform methods [1965]
 Weinberger, Hans F.
 New York : Wiley, c1965.
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 Book — ix, 446 p. ; 27 cm.
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