MARC Record from Library of Congress

LEADER: 06001cam a2200397 a 4500
001 2007039327
003 DLC
005 20110601082701.0
008 070921s2008 njua b 001 0 eng
010 $a 2007039327
015 $aGBA813232$2bnb
016 7 $a014507961$2Uk
020 $a9780470133903 (hbk.)
020 $a0470133902 (hbk.)
035 $a(OCoLC)ocn173368446
040 $aDLC$beng$cDLC$dBTCTA$dBAKER$dUKM$dYDXCP$dC#P$dNLGGC$dSINIE$dHEBIS$dCDN$dDEBBG$dOCL$dDLC
050 00 $aQA377$b.O54 2008
082 00 $a515/.353$222
084 $a31.44$2bcl
084 $aSK 540$2rvk
100 1 $aO'Neil, Peter V.
245 10 $aBeginning partial differential equations /$cPeter V. O'Neil.
250 $a2nd ed.
260 $aHoboken, N.J. :$bWiley-Interscience,$cc2008.
300 $aix, 477 p. :$bill. ;$c25 cm.
490 1 $aPure and applied mathematics
500 $aIncludes index.
504 $aIncludes bibliographical references and index.
505 0 $a1. First Order Equations. Notation and Terminology. The Linear First Order Equation. The Significance of Characteristics. The Quasi-Linear Equation. 2. Linear Second Order Equations. Classification. The Hyperbolic Canonical Form. The Parabolic Canonical Form. The Elliptic Canonical Form. Some Equations of Mathematical Physics. The Second Order Cauchy Problem. Characteristics and the Cauchy Problem. Characteristics As Carriers of Discontinuities. 3. Elements of Fourier Analysis. Why Fourier Series?The Fourier Series of a Function. Convergence of Fourier Series. Sine and Cosine Expansions. The Fourier Integral. The Fourier Transform. Convolution. Fourier Sine and Cosine Transforms. 4. The Wave Equation. The Cauchy Problem and d'Alembert's Solution.d'Alembert's Solution As a Sum of Waves. The Characteristic Triangle. The Wave Equation on a Half-Line. A Problem on a Half-Line With Moving End. A Nonhomogeneous Problem on the Real Line. A General Problem on a Closed Interval. Fourier Series Solutions on a Closed Interval. A Nonhomogeneous Problem on a Closed Interval. The Cauchy Problem by Fourier Integral. A Wave Equation in Two Space Dimensions. The Kirchhoff/Poisson Solution. Hadamard's Method of Descent. 5. The Heat Equation. The Cauchy Problem and Initial Conditions. The Weak Maximum Principle. Solutions on Bounded Intervals. The Heat Equation on the Real Line. The Heat Equation on the Half-Line. The Debate Over the Age of the Earth. The Nonhomogeneous Heat Equation. The Heat Equation In Several Space Variables. 6. Dirichlet and Neumann Problems. The Setting of the Problems. Some Harmonic Functions. Representation Theorems. Two Properties of Harmonic Functions. Is the Dirichlet Problem Well-Posed?Dirichlet Problem for a Rectangle. 7. Existence Theorems. A Classical Existence Theorem. A Hilbert Space Approach. Distributions and an Existence Theorem. 8. Additional Topics. Solutions by Eigenfunction Expansions. Numerical Approximations of Solutions. Burger's Equation. The Telegraph Equation. Poisson's Equation. 9. End Materials. Historical Notes. Glossary. Answers to Selected Exercises. 1. First Order Equations. Notation and Terminology. The Linear First Order Equation. The Significance of Characteristics. The Quasi-Linear Equation. 2. Linear Second Order Equations. Classification. The Hyperbolic Canonical Form. The Parabolic Canonical Form. The Elliptic Canonical Form. Some Equations of Mathematical Physics. The Second Order Cauchy Problem. Characteristics and the Cauchy Problem. Characteristics As Carriers of Discontinuities. 3. Elements of Fourier Analysis. Why Fourier Series?The Fourier Series of a Function. Convergence of Fourier Series. Sine and Cosine Expansions. The Fourier Integral. The Fourier Transform. Convolution. Fourier Sine and Cosine Transforms. 4. The Wave Equation. The Cauchy Problem and d'Alembert's Solution.d'Alembert's Solution As a Sum of Waves. The Characteristic Triangle. The Wave Equation on a Half-Line. A Problem on a Half-Line With Moving End. A Nonhomogeneous Problem on the Real Line. A General Problem on a Closed Interval. Fourier Series Solutions on a Closed Interval. A Nonhomogeneous Problem on a Closed Interval. The Cauchy Problem by Fourier Integral. A Wave Equation in Two Space Dimensions. The Kirchhoff/Poisson Solution. Hadamard's Method of Descent. 5. The Heat Equation. The Cauchy Problem and Initial Conditions. The Weak Maximum Principle. Solutions on Bounded Intervals. The Heat Equation on the Real Line. The Heat Equation on the Half-Line. The Debate Over the Age of the Earth. The Nonhomogeneous Heat Equation. The Heat Equation In Several Space Variables. 6. Dirichlet and Neumann Problems. The Setting of the Problems. Some Harmonic Functions. Representation Theorems. Two Properties of Harmonic Functions. Is the Dirichlet Problem Well-Posed?Dirichlet Problem for a Rectangle. 7. Existence Theorems. A Classical Existence Theorem. A Hilbert Space Approach. Distributions and an Existence Theorem. 8. Additional Topics. Solutions by Eigenfunction Expansions. Numerical Approximations of Solutions. Burger's Equation. The Telegraph Equation. Poisson's Equation. 9. End Materials. Historical Notes. Glossary. Answers to Selected Exercises.
650 0 $aDifferential equations, Partial.
776 08 $iOnline version:$aO'Neil, Peter V.$tBeginning partial differential equations.$b2nd ed.$dHoboken, N.J. : Wiley-Interscience, c2008$w(OCoLC)682187315
830 0 $aPure and applied mathematics (John Wiley & Sons : Unnumbered)
856 42 $3Contributor biographical information$uhttp://catdir.loc.gov/catdir/enhancements/fy0814/2007039327-b.html
856 42 $3Publisher description$uhttp://catdir.loc.gov/catdir/enhancements/fy0814/2007039327-d.html
856 41 $3Table of contents only$uhttp://catdir.loc.gov/catdir/enhancements/fy0814/2007039327-t.html
856 41 $3Table of contents$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=016445669&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA