Bibliography for Green's Theorem - unabridged

 

  1. Polyunsaturated posets and graphs and the Greene-Kleitman theorem
    Chappell, Glenn G.
    Discrete Mathematics, v 257, n 2-3, Nov 28, 2002, p 329-340, Compendex.
  2. A rectangular bend of two waveguides with a 2d inclusion in the interaction region analyzed using the Green theorem
    Shul'ga, S.N.; Bagatskaya, O.V.; Vasil'eva, T.I.; Zhuk, N.P.
    Radiotekhnika i Elektronika, v 47, n 11, 2002, p 1335-1338, Compendex.
  3. Another Proof of a Theorem of J. A. Green
    Yamauchi K.
    Journal of Algebra, January 2001, vol. 235, no. 2, pp. 829-832(4), Ingenta.       
  4. On the accuracy of the addition theorem for a scalar Green's function used in the FMM
    Li, J.-Y.; Li, L.-W.; Ooi, B.-L.; Kooi, P.-S.; Leong, M.-S.
    Microwave and Optical Technology Letters, v 31, n 6, Dec 20, 2001, p 439-442, Compendex.
  5. Calculating BPM coefficients with green's reciprocation theorem
    Kim, S.H.
    Proceedings of the IEEE Particle Accelerator Conference, v 2, 2001, p 1348-1350, Compendex.
  6. Interaction surfaces of reinforced concrete sections in biaxial bending by Green's theorem
    Fafitis, A.
    Computing in Civil and Building Engineering, v 1, 2000, p 90-97, Compendex.
  7. A variant of the complex Liouville-Green approximation theorem.
    Spigler, Renato; Vianello, Marco
    Arch. Math. (Brno) 36 (2000), no. 3, 213--218, MathSciNet.  
  8. The Green-residue theorem and the Nevanlinna's second theorem on small functions in Banach spaces.
    Hu, Chuan-Gan; Ye, Xiu-Fang
    Proceedings of the Second ISAAC Congress, Vol. 1 (Fukuoka, 1999), 299--310, Int. Soc. Anal. Appl. Comput., 7, Kluwer Acad. Publ., Dordrecht, 2000, MathSciNet.  
  9. The Applicability of Green's Theorem to Computation of Rate of Approach
    Duric Z.; Rosenfeld A.; Duncan J.
    International Journal of Computer Vision, February 1999, vol. 31, no. 1, pp. 83-98(16), Ingenta.  
  10. A theoretical method of electrical field analysis for dielectrophoretic electrode arrays using Green's theorem
    Wang X.; Wang X-B.; Becker F.F.; Gascoyne P.R.C.
    Journal of Physics D: Applied Physics, 1996, vol. 29, no. 6, pp. 1649-1660(12), Ingenta.  
  11. Approximate evaluation of capacitances by means of Green's reciprocal theorem
    Donolato, C.
    American Journal of Physics, v 64, n 8, 1996, p 1049, Compendex.
  12. Fast and exact computation of Cartesian geometric moments using discrete Green's theorem
    Yang, Luren; Albregtsen, Fritz
    Pattern Recognition, v 29, n 7, Jul, 1996, p 1061-1073, Compendex.
  13. Minimum-fuel transfer between coplanar elliptic orbits-global results using green's theorem
    Mease, Kenneth D.; Rao, Anil V.
    Proc 5 Workshop Control Mech, 1994, p 113, Compendex.
  14. Second-order long period wave forces on an offshore structures in shallow water by the method of green's theorem
    Yoshida, Hisafumi; Saito, Kimio
    Proceedings of the International Offshore and Polar Engineering Conference, v 3, 1994, p 399-405, Compendex.
  15. Supersymmetry and the Atiyah-Singer index theorem. I. Peierls brackets, Green's functions, and a proof of the index theorem via Gaussian superdeterminants.
    Mostafazadeh, Ali
    J. Math. Phys. 35 (1994), no. 3, 1095--1124, MathSciNet.  
  16. Application of Green's theorem approach to symmetrical right-angled H-plane rectangular metallic waveguide bend
    Leong, M.S.; Kooi, P.S.; Yeo, T.S.
    Microwave and Optical Technology Letters, v 6, n 6, May, 1993, p 363-370, Compendex.
  17. An extension of a theorem of D. Khavinson: "The Cauchy-Green formula and rational approximation on the sets with a finite perimeter in the complex plane" [J. Funct. Anal. 64 (1985), no. 1, 112--123; MR 87a:30062].
    Ferry, John
    Proc. Amer. Math. Soc. 114 (1992), no. 3, 741--742, MathSciNet.  
  18. The General Form of Green's Theorem  
    W. B. Jurkat; D. J. F. Nonnenmacher  
    Proceedings of the American Mathematical Society, Vol. 109, No. 4. (Aug., 1990), pp. 1003-1009, Jstor.  
  19. New cable model formulation based on Green's theorem
    Leon, L.J.; Roberge, F.A.
    Annals of Biomedical Engineering, v 18, n 1, 1990, p 1-17, Compendex.
  20. Physically interpretable alternative to Green's dyadics, resulting representation theorems, and integral equations
    Sancer, Maurice I.
    IEEE Transactions on Antennas and Propagation, v 38, n 4, Apr, 1990, p 564-568, Compendex.
  21. Green's theorem on a foliated Riemannian manifold and its applications.
    Yorozu, S.; Tanemura, T.
    Acta Math. Hungar. 56 (1990), no. 3-4, 239--245, MathSciNet.  
  22. Nonrenormalization theorem for the Green-Schwarz counterterm and the low-energy effective action.
    Yasuda, Osamu
    Phys. Lett. B 218 (1989), no. 4, 455--460, MathSciNet.  
  23. A new form of Green's theorem in the plane.
    London, R. R.
    J. Math. Anal. Appl. 126 (1987), no. 2, 424--436, MathSciNet.  
  24. The Parametric Gauss-Green Theorem  
    M. Ortel; W. Schneider  
    Proceedings of the American Mathematical Society, Vol. 98, No. 4. (Dec., 1986), pp. 615-618, Jstor.  
  25. Zur Theorie der Integralsätze von Gauß und Green. (German) [On the theory of the integral theorems of Gauss and Green]
    Nöbeling, Georg
    Bayer. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. 1981, 27--35 (1982), MathSciNet.  
  26. The Planimeter as an Example of Green's Theorem (in Classroom Notes)  
    Ronald W. Gatterdam  
    The American Mathematical Monthly, Vol. 88, No. 9. (Nov., 1981), pp. 701-704, Jstor.  
  27. The alternative theorem and the nonselfadjoint generalized Green's function.
    Machover, Maurice
    J. Differential Equations 35 (1980), no. 2, 266--274, MathSciNet.  
  28. On the theorems of Brody and Green on conditions for complete hyperbolicity of complex manifolds. (Russian)
    Zai denberg, M. G.
    Funktsional. Anal. i Prilozhen. 14 (1980), no. 4, 77--78, MathSciNet.  
  29. Uniqueness theorem for symmetrization of integral means of Green functions. (Russian) Questions in the metric theory of mappings and its application
    Chernykh, Yu. V.
    Proc. Fifth Colloq. Quasiconformal Mappings, Generalizations Appl., Donetsk, 1976 (Russian), pp. 142--146, 186, "Naukova Dumka", Kiev, 1978, MathSciNet.  
  30. The Gauss-Green and Cauchy Integral Theorems (in Mathematical Notes)  
    W. F. Eberlein  
    The American Mathematical Monthly, Vol. 82, No. 6. (Jun. - Jul., 1975), pp. 625-629, Jstor.  
  31. Green's formula and a theorem on homeomorphisms for elliptic systems with boundary conditions that are not normal. (Russian)
    Roi tberg, Ja. A.;  Seftel , Z. G.
    Mat. Issled. 7 (1972), no. 2(24), 143--157, 289, MathSciNet.  
  32. Green's theorem in paracompact manifolds modelled on Hilbert space.
    Prakash, Nirmala
    Proc. Indian Acad. Sci. Sect. A 67 1968 215--218, MathSciNet.  
  33. Browne Distortion theorems for lemniscates and level loci of Green's functions.
    Shaffer, Dorothy
    J. Analyse Math. 17 1966 59--70, MathSciNet.  
  34. On a compactification of Green spaces. Dirichlet problem and theorems of Riesz type.
    Kusunoki, Yukio
    J. Math. Kyoto Univ. 1 1961/1962 385--402, MathSciNet.  
  35. On Green's Theorem  
    Paul J. Cohen  
    Proceedings of the American Mathematical Society, Vol. 10, No. 1. (Feb., 1959), pp. 109-112, Jstor.  
  36. A Note on the Gauss-Green Theorem  
    Herbert Federer  
    Proceedings of the American Mathematical Society, Vol. 9, No. 3. (Jun., 1958), pp. 447-451, Jstor.  
  37. Green-Goursat theorem.
    Bochner, S.
    Math. Z. 63 (1955), 230--242, MathSciNet.  
  38. A Theorem of Green's Type for Functions of Two Complex Variables  
    Stefan Bergman  
    Proceedings of the American Mathematical Society, Vol. 4, No. 1. (Feb., 1953), pp. 102-109, Jstor.  
  39. Errata: Multiply Valued Harmonic Functions. Green's Theorem  
    G. C. Evans  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 34, No. 7. (Jul. 15, 1948), p. 347, Jstor.  
  40. Multiply Valued Harmonic Functions. Green's Theorem  
    G. C. Evans  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 33, No. 9. (Sep. 15, 1947), pp. 270-275, Jstor.  
  41. The Gauss-Green Theorem  
    Herbert Federer  
    Transactions of the American Mathematical Society, Vol. 58, No. 1. (Jul., 1945), pp. 44-76, Jstor.  
  42. Caratheodory Measure and a Generalization of the Gauss-Green Lemma  
    John F. Randolph  
    Transactions of the American Mathematical Society, Vol. 38, No. 3. (Nov., 1935), pp. 531-548, Jstor.  
  43. On the Theorems of Gauss and Green  
    Vincent C. Poor  
    American Journal of Mathematics, Vol. 44, No. 1. (Jan., 1922), pp. 20-24, Jstor.  
  44. A Green's Theorem in Terms of Lebesgue Integrals  
    H. E. Bray  
    The Annals of Mathematics, 2nd Ser., Vol. 21, No. 3. (Mar., 1920), pp. 141-156, Jstor.  
  45. An Extension of Green's Theorem  
    Ida Barney  
    American Journal of Mathematics, Vol. 36, No. 2. (Apr., 1914), pp. 137-150, Jstor.  
  46. Concerning Green's Theorem and the Cauchy-Riemann Differential Equations  
    M. B. Porter  
    The Annals of Mathematics, 2nd Ser., Vol. 7, No. 1. (Oct., 1905), pp. 1-2, Jstor.  
  47. Green's Theorem and Green's Functions for Certain Systems of Differential Equations  
    Max Mason  
    Transactions of the American Mathematical Society, Vol. 5, No. 2. (Apr., 1904), pp. 220-225, Jstor.  

 

 

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