北京大学：《数学物理方法》课程教学资源（讲义）参考书目

参考书目 基本参考书目 1.郭敦仁,《数学物理方法》(第二版),高等教育出版社,1991年 2.梁昆淼,《数学物理方法》(第三版),高等教育出版社,1998年 3.《数学物理方法解题指导》,胡嗣柱编,高等教育出版社1997年 4.《数学物理方法学习指导》,姚端正编,科学出版社2001年 5.《复变函数引论》,普里瓦洛夫,北京大学数学力学系数学分析教研组译,商务印书馆,1953 年 6.沙巴特,拉甫伦捷夫,《复变函数论方法》,施祥林,夏定中译,人民教育出版社,1956年 7.《数学物理方程》,吉洪诺夫,萨马尔斯基,黄克欧等译人民教育出版社,1961年 8. A Course of Modern Analysis, E. T. Whittaker and G. N. Watson, Cambridge Univ. Press, Cambridge, 1927 9. An Introduction to the Theory of Infnite Series T. J. I'A. Bromwich, Macmillan, London, 1931 10. Functions of a Complex Variable, T. M. Macrobert Macmillan, London, 1954 11. Basic Complex Analysis, Freeman, J. E. Marsden, San Fransisco, 1973 12. Advanced Calculus for Applications, F. B. Hildebrand, Prentice-Hall (Englewood Cliffs, New Jersey, USA), 1976 13. C. J. Tranter, Integral Transforms in Mathematical Physics (3rd ed.), C. J. Tranter, Wiley, New York, 1966 《数学物理中的积分变换》,特兰台尔,潘德惠译,高等教育出版社,1959年 专著和工具书 14.《特殊函数概论》,王竹溪,郭敦仁,科学出版社,1965年 15. Higher Transcendental Functions, A. Erdelyi et al., McGraw-Hill, New York, 1953 《高级超越函数》,爱尔台里主编,张致中译,科学技术出版社,1957年 16. The Theory of Spherical and Ellipsoidal Harmonics E. W. Hobson, Cambridge Univ. Press, Cambridge,1931 17. A Treatise on the Theory of Bessel Functions, G. N. Watson, Cambridge Univ. Press, Cam- bridge,1944 18. Handbook of Mathematical Functions with Formulas Graphs, and Mathematical Tables, M Abramowitz and I. A. Ategun, U. S. National Bureau of Standards, Washington, D. C., 1965 19. Table of Integrals, Series, and Products(corrected and enlarged edition),. S. Gradshteyn and I. M. Ryzhik, Academic, New York, 1980

￾ ✁ ✂ ✄ ☎ ✆ ✝ ✞ ✟ ✠ 1. ✡☛☞✌ ✍ ✎✏✑✒✓✔✕ (✖✗✘) ✌✙✚✛✜✢✘✣✌ 1991 ✤ 2. ✥✦✧✌ ✍ ✎✏✑✒✓✔✕ (✖★✘) ✌✙✚✛✜✢✘✣✌ 1998 ✤ 3. ✍ ✎✏✑✒✓✔✩✪✫✬✕✌✭✮✯✰✌✙✚✛✜✢✘✣ 1997 ✤ 4. ✍ ✎✏✑✒✓✔✏✱✫✬✕✌✲✳✴✰✌✵✏ ✢✘✣ 2001 ✤ 5. ✍ ✶✷✸✎✹✺✕✌ ✻✼✽✾✿✌ ❀❁❂✏✎✏❃✏❄✎✏❅❆✛❇❈❉✌❊❋●❍■✌1953 ✤ 6. ❏❑▲ ✌ ▼◆❖P✿✌ ✍ ✶✷✸✎✺✓✔✕✌ ◗❘❙✌ ❚❯❱❉✌❲❳✛✜✢✘✣✌ 1956 ✤ 7. ✍ ✎✏✑✒✓❨✕✌❩❬❭✿ ✌❪❫❴❵❛✌❜❝❞✚❉✌❲❳✛✜✢✘✣✌ 1961 ✤ 8. A Course of Modern Analysis, E. T. Whittaker and G. N. Watson, Cambridge Univ. Press, Cambridge, 1927 9. An Introduction to the Theory of Infnite Series, T. J. I’A. Bromwich, Macmillan, London, 1931 10. Functions of a Complex Variable, T. M. Macrobert, Macmillan, London, 1954 11. Basic Complex Analysis, Freeman, J. E. Marsden, San Fransisco, 1973 12. Advanced Calculus for Applications, F. B. Hildebrand, Prentice-Hall (Englewood Cliffs, New Jersey, USA), 1976 13. C. J. Tranter, Integral Transforms in Mathematical Physics (3rd ed.), C. J. Tranter, Wiley, New York, 1966 ✍ ✎✏✑✒❱❡❢❅✷❣✕✌ ▲❤✐❴✌❥❦❧❉✌✙✚✛✜✢✘✣✌ 1959 ✤ ♠♥♦♣q✟ 14. ✍ ▲r✸✎s✺✕✌t✉✈✌✡☛☞✌✵✏ ✢✘✣✌ 1965 ✤ 15. Higher Transcendental Functions, A. Erd´elyi et al., McGraw-Hill, New York, 1953 ✍✙✇①②✸✎✕✌③❴✐✼④✰✌⑤⑥❱ ❉✌✵✏⑦⑧✢✘✣✌ 1957 ✤ 16. The Theory of Spherical and Ellipsoidal Harmonics, E. W. Hobson, Cambridge Univ. Press, Cambridge, 1931 17. A Treatise on the Theory of Bessel Functions, G. N. Watson, Cambridge Univ. Press, Cam￾bridge, 1944 18. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, M. Abramowitz and I. A. Ategun, U. S. National Bureau of Standards, Washington, D. C., 1965 19. Table of Integrals, Series, and Products (corrected and enlarged edition), I. S. Gradshteyn and I. M. Ryzhik, Academic, New York, 1980

20. Tables of Integral Transforms, A. Erdelyi, McGraw-Hill, New York, 1954 进一步的参考书目 21. Methods of Methematical Physics, R. Courant and D. Hilbert, Interscience Publishers, New York. 1962 《数学物理方法》,柯朗,希尔伯特,第一卷,钱敏,郭敦仁译,科学出版社,1958年;第 二卷,熊振翔,杨应辰译,科学出版社,1977年 22. Theory of Cpmpler Functions, R. Remmert, Springer-Verlag, New York, 1991 23. The Theory of Functions, E C. Titchmarsh, Oxford Univ Press, Oxford, 1962(corrected) 《函数论》,梯其玛希,吴锦译,科学出版社,1964年 24. Theory and Application of Infinite Series, K. Knopp, Dover, New York, 1989 25. Operational Mathematics, R. V. Churchill, McGraw-Hill, New York, 1958 26. Methods of Theoretical Physics, P. M. Morse and H. Feshbach, McGraw-Hill, New York, 195. 27. Fourier Series and Boundary value Problems, R. V. Churchill, Mc Graw-Hill, New York, 1941 28. Differential Equations of Mathematical Physics, N. S. Koshlyakov, M. M. Smirnov, and E. B. Gliner, North-Holland Publishing Co, Amsterdam, 1964 Mathematical Methods with Applications to Problems in the Physical Sciences, T. C. Brad- bury, Wiley, New York, 1984 30. Mathematical Methods of Physics, J. Mathews and R. L. Walker, Benjamin, New York, 1970 31. Mathematical Methods in the Physical Sciences, M. L. Boas, Wiey, New York, 1983 32. Introductory Eigenphysics, C. A. Croxton, Wiley, New York, 1974 《数学物理方程导论》,克罗克斯顿,戴安英,钱伯初译,高等教育出版社,1982年 3. Special Functions, E. D. Rainville, Macmillan, New York, 1960 34.《勒襄特函数论》,莫叶,山东大学出版社,1988年 35. Applied Analytical Mathematics for Physical Scientists, J. T Cushing, wiley, New York, 1975 6. Calculus od variations, G. A. Bliss, Open Court, La Salle, Illinois, 1925 37. Dictionary of Conformal Representations, H. Kober, Dover, 195 8. Differentialgleichungen, LOsungsmethoden und Losungen, E. Kamke, Band 1, Gewohnliche Differentialgleichungen, Akademische Verlagsgesellschaft, Leipizig, 1944

⑨ ⑩ ❶ ❷ 2 20. Tables of Integral Transforms, A. Erd´elyi, McGraw-Hill, New York, 1954 ❸❹❺❻✝✞✟ ✠ 21. Methods of Methematical Physics, R. Courant and D. Hilbert, Interscience Publishers, New York, 1962 ✍ ✎✏✑✒✓✔✕✌ ❼❽✌ ❾ ❴❿▲ ✌✖➀➁✌➂➃✌✡☛☞❉✌✵ ✏ ✢✘✣✌ 1958 ✤➄✖ ✗➁✌➅➆➇✌➈➉➊❉✌✵✏ ✢✘✣✌ 1977 ✤ 22. Theory of Cpmplex Functions, R. Remmert, Springer-Verlag, New York, 1991 23. The Theory of Functions, E. C. Titchmarsh, Oxford Univ. Press, Oxford, 1962 (corrected) ✍ ✸✎✺✕✌➋➌➍❾ ✌➎➏❉✌✵✏ ✢✘✣✌ 1964 ✤➐ 24. Theory and Application of Infinite Series, K. Knopp, Dover, New York, 1989 25. Operational Mathematics, R. V. Churchill, McGraw-Hill, New York, 1958 26. Methods of Theoretical Physics, P. M. Morse and H. Feshbach, McGraw-Hill, New York, 1953 27. Fourier Series and Boundary Value Problems, R. V. Churchill, McGraw-Hill, New York, 1941 28. Differential Equations of Mathematical Physics, N. S. Koshlyakov, M. M. Smirnov, and E. B. Gliner, North-Holland Publishing Co., Amsterdam, 1964 29. Mathematical Methods with Applications to Problems in the Physical Sciences, T. C. Brad￾bury, Wiley, New York, 1984 30. Mathematical Methods of Physics, J. Mathews and R. L. Walker, Benjamin, New York, 1970 31. Mathematical Methods in the Physical Sciences, M. L. Boas, Wiey, New York, 1983 32. Introductory Eigenphysics, C. A. Croxton, Wiley, New York, 1974 ✍ ✎✏✑✒✓❨✬✺✕✌❝➑❝❵➒✌➓➔→✌➂ ❿➣❉✌✙✚✛✜✢✘✣✌ 1982 ✤ 33. Special Functions, E. D. Rainville, Macmillan, New York, 1960 34. ✍ ↔↕▲✸✎✺✕✌➙➛✌➜➝❂✏ ✢✘✣✌ 1988 ✤ 35. Applied Analytical Mathematics for Physical Scientists, J. T. Cushing, Wiley, New York, 1975 36. Calculus od Variations, G. A. Bliss, Open Court, La Salle, Illinois, 1925 37. Dictionary of Conformal Representations, H. Kober, Dover, 1957 38. Differentialgleichungen, L¨osungsmethoden und L¨osungen, E. Kamke, Band 1, Gew¨ohnliche Differentialgleichungen, Akademische Verlagsgesellschaft, Leipizig, 1944