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008 150109s1976 nyua ob 001 0 eng d
040 |a OCLCE  |b eng  |e pn  |c OCLCE  |d OPELS  |d N$T  |d E7B  |d YDXCP  |d OCLCQ  |d VLY  |d LUN  |d OCLCQ  |d OCLCO  |d OCLCQ  |d S2H  |d OCLCO  |d COM  |d OCLCO  |d OCLCQ 
019 |a 892068780  |a 1162048914 
020 |a 9781483259161 
020 |a 1483259161 
020 |z 0121604500 
020 |z 9780121604509 
035 |a (OCoLC)899750045  |z (OCoLC)892068780  |z (OCoLC)1162048914 
042 |a dlr 
050 4 |a QA374 
072 7 |a MAT  |x 005000  |2 bisacsh 
072 7 |a MAT  |x 034000  |2 bisacsh 
082 0 4 |a 515.3/53  |2 19 
084 |a 31.45  |2 bcl 
088 |a 75013107 
100 1 |a Carrier, George F. 
245 1 0 |a Partial differential equations :  |b theory and technique /  |c George F. Carrier, Carl E. Pearson. 
260 |a New York :  |b Academic Press,  |c 1976. 
300 |a 1 online resource (xi, 320 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references (pages 309-311) and index. 
588 0 |a Print version record. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2015.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2015  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
505 0 |a Front Cover; Partial Differential Equations: Theory and Technique; Copyright Page; Table of Contents; PREFACE; INTRODUCTION; I.1 DEFINITIONS AND EXAMPLES; CHAPTER 1. THE DIFFUSION EQUATION; 1.1 DERIVATION; 1.2 PROBLEMS; 1.3 SIMPLE SOLUTIONS; 1.4 PROBLEMS; 1.5 SERIES SOLUTIONS; 1.6 PROBLEMS; 1.7 NONHOMOGENEOUS END CONDITIONS; 1.8 PROBLEMS; 1.9 THE MAXIMUM PRINCIPLE; 1.10 PROBLEMS; CHAPTER 2. LAPLACE TRANSFORM METHODS; 2.1 INTRODUCTORY EXAMPLE; 2.2 PROBLEMS; 2.3 A FINITE INTERVAL PROBLEM; 2.4 PROBLEMS; 2.5 DELTA FUNCTION; 2.6 PROBLEMS; 2.7 SUPPLEMENTARY PROBLEMS; CHAPTER 3. THE WAVE EQUATION 
505 8 |a 3.1 DERIVATION3.2 PROBLEMS; 3.3 AN INFINITE-INTERVAL PROBLEM; 3.4 PROBLEMS; 3.5 SERIES SOLUTIONS; 3.6 PROBLEMS; 3.7 A PROBLEM WITH RADIAL SYMMETRY; 3.8 PROBLEMS; 3.9 TRANSFORMS; 3.10 PROBLEMS; 3.11 UNIQUENESS; 3.12 SUPPLEMENTARY PROBLEMS; CHAPTER 4. THE POTENTIAL EQUATION; 4.1 LAPLACE'S AND POISSON 'S EQUATIONS; 4.2 PROBLEMS; 4.3 SIMPLE PROPERTIES OF HARMONIC FUNCTIONS; 4.4 SOME SPECIAL SOLUTIONS-SERIES; 4.5 PROBLEMS; 4.6 DISCONTINUOUS BOUNDARY DATA; 4.7 COMPLEX VARIABLES AND CON FORMAL MAPPING; 4.8 PROBLEMS; CHAPTER 5. CLASSIFICATION OF SECOND-ORDER EQUATIONS; 5.1 CAUCHY DATA ON y-AXIS 
505 8 |a 5.2 CAUCHY DATA ON ARBITRARY CURVE5.3 PROBLEMS; 5.4 CASE I: B2 -- AC> 0; 5.5 CASE II: B2 -- AC = 0; 5.6 CASE III: B2 -- AC <0; 5.7 PROBLEMS; 5.8 DISCONTINUITIES; SIGNAL PROPAGATION; 5.9 PROBLEMS; 5.10 SOME REMARKS; CHAPTER 6. FIRST-ORDER EQUATIONS; 6.1 LINEAR EQUATION EXAMPLES; 6.2 PROBLEMS; 6.3 QUASI-LINEAR CASE; 6.4 PROBLEMS; 6.5 FURTHER PROPERTIES OF CHARACTERISTICS; 6.6 PROBLEMS; 6.7 MORE VARIABLES; CHAPTER 7. EXTENSIONS; 7.1 MORE VARIABLES; 7.2 PROBLEMS; 7.3 SERIES AND TRANSFORMS; 7.4 PROBLEMS; 7.5 LEGENDRE FUNCTIONS; 7.6 PROBLEMS; 7.7 SPHERICAL HARMONICS; 7.8 PROBLEMS 
505 8 |a CHAPTER 8. PERTURBATIONS8.1 A NONLINEAR PROBLEM; 8.2 PROBLEMS; 8.3 TWO EXAMPLES FROM FLUID MECHANICS; 8.4 BOUNDARY PERTURBATIONS; 8.5 PROBLEMS; CHAPTER 9. GREEN'S FUNCTIONS; 9.1 SOME CONSEQUENCES OF THE DIVERGENCE THEOREM; 9.2 THE LAPLACIAN OPERATOR; 9.3 PROBLEMS; 9.4 POTENTIALS OF VOLUME AND SURFACE DISTRIBUTIONS; 9.5 PROBLEMS; 9.6 MODIFIED LAPLACIAN; 9.7 PROBLEMS; 9.8 WAVE EQUATION; 9.9 PROBLEMS; CHAPTER 10. VARIATIONAL METHODS; 10.1 A MINIMIZATION PROBLEM; 10.2 PROBLEMS; 10.3 NATURAL BOUNDARY CONDITIONS; 10.4 SUBSIDIARY CONDITIONS; 10.5 PROBLEMS; 10.6 APPROXIMATE METHODS; 10.7 PROBLEMS 
505 8 |a 10.8 FINITE-ELEMENT METHOD10.9 SUPPLEMENTARY PROBLEMS; CHAPTER 11. EIGENVALUE PROBLEMS; 11.1 A PROTOTYPE PROBLEM; 11.2 SOME EIGENVALUE PROPERTIES; 11.3 PROBLEMS; 11.4 PERTURBATIONS; 11.5 APPROXIMATIONS; 11.6 PROBLEMS; CHAPTER 12. MORE ON FIRST-ORDER EQUATIONS; 12.1 ENVELOPES; 12.2 CHARACTERISTIC STRIPS; 12.3 COMPLETE INTEGRAL; 12.4 PROBLEMS; 12.5 LEGENDRE TRANSFORMATION; 12.6 PROBLEMS; 12.7 PROPAGATION OF A DISTURBANCE; 12.8 COMPLETE INTEGRAL AND EIKONAL FUNCTION; 12.9 HAMILTON-JACOBI EQUATION; 12.10 PROBLEMS; CHAPTER 13. MORE ON CHARACTERISTICS; 13.1 DISCONTINUITIES-A PRELIMINARY EXAMPLE 
546 |a English. 
650 0 |a Differential equations, Partial  |x Numerical solutions. 
650 6 |a &#xFFFD;Equations aux d&#xFFFD;eriv&#xFFFD;ees partielles  |x Solutions num&#xFFFD;eriques.  |0 (CaQQLa)201-0041240 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Differential equations, Partial  |x Numerical solutions.  |2 fast  |0 (OCoLC)fst00893488 
650 7 |a Partielle Differentialgleichung  |2 gnd  |0 (DE-588)4044779-0 
650 1 7 |a Parti&#xFFFD;ele differentiaalvergelijkingen.  |2 gtt 
650 7 |a &#xFFFD;Equations diff&#xFFFD;erentielles.  |2 ram 
653 0 |a Differential equations, Partial  |a Numerical solutions 
700 1 |a Pearson, Carl E.,  |e author. 
776 0 8 |i Print version:  |a Carrier, George F.  |t Partial differential equations.  |d New York : Academic Press, 1976  |w (DLC) 75013107  |w (OCoLC)1733351 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780121604509  |z Texto completo