对"交换物质影响平衡移动教材稿"的几点补充

着重介绍了"两步法"阐明外物干扰下平衡移动的必要性,讨论了论题关系式推演过程中化归原理的使用步骤等数学技巧问题。     

KKM定理的某些新进展(二)

本文是文章〔1〕的继续,在文中继续介绍KKM定理的某些新进展,并给出其对向量平衡问题、不动点问题的应用。     

关于Gelfer函数

我们称单位圆盘中的解析函数f(z)=1+(sum from n=1 to ∞)a_nZ~n为Gelfer函数,如果对一切Z,∈△,都有f(z)+f(C)≠0。文〔1〕中关于Gelfer函数提出了若干问题,我们解决了其中的两个。     

中值定理的推广

本文中的结论可同时作为Cauchy中值定理和Lagrange中值定理的一种推广。     

从“Lagrange中值定理的逆命题”谈起

本文指出“Lagrange 中值定理的逆命题”一文的错误,给出反例说明“Lagrange 中值定理的逆定理”不成立,然后给出一个新的命题,建立了可微函数与其导数之间的一种联系。     

一类改进的Ross血吸虫病动力学模型的定性分析

建立了一类考虑钉螺总数变化的血吸虫病动力学模型,利用谱半径的方法计算得到基本再生数R0,证明了当R0<1时无病平衡点全局渐近稳定,当R0>1时地方病平衡点全局渐近稳定.     

中值定理在复函数中的应用

中值定理在复函数的理论和研究中起着至关重要的作用,研究其形式对于数学学习具有极为重要的意义,本文现就复函数中值定理的形式做如下探讨。     

Editorial

THE INDEPENDENT STUDY PROGRAM IN THE UNITED STATES, A REPORT ON AN UNDERGRADUATE INSTRUCTIONAL METHOD. By Robert Bonthius, F. James Davis, J. Garber Drushal, in Collaboration with Frances V. Guille and Warren P. Spencer. New York: Columbia University Press, 1957; pp. xxi+259. $4–50.

THE CHALLENGE OF SOVIET EDUCATION. By George S. Counts. New York: McGraw‐Hill, 1957; pp. xii+330. $6.00.

A FOURTH OF A NATION. By Paul Woodring. New York: McGraw‐Hill, 1957; pp. vii+255. $4.50.

A DICTIONARY OF CONTEMPORARY AMERICAN USAGE. By Bergen Evans and Cornelia Evans. New York: Random House, 1957; pp. viii+567. $5.95.

JOSEPH GLANVILL, ANGLICAN APOLOGIST. By Jackson I. Cope. St. Louis: Washington University Studies, 1956; pp. 179. $3.75.

GRIECHISCH‐RÖMISCHE RHETORIK 1915–1925. By Georg Lehnert. Jahresbericht über die Fortschritte der klassischen Altertums‐wissenschaft, Vol. 285 (1944–1955), pp. 5–198. Göttingen: Vandenhoeck &; Ruprecht, 1956. [$10.72.]

PATRICK HENRY, PATRIOT IN THE MAKING. By Robert D. Meade. (Virginia Edition.) Philadelphia: J. B. Lippincott, 1957; pp. x+431. Illustrated. $7.50.

WOODROW WILSON AND THE WORLD TODAY. Edited by Arthur P. Dudden. Philadelphia: University of Pennsylvania Press, 1957; pp. x+96. $3.75.

WILSON'S FOREIGN POLICY IN PERSPECTIVE. Edited by Edward H. Buehrig. Bloomington: Indiana University Press, 1957; pp. 176. $4.50.

WOODROW WILSON. By Silas Bent McKinley. New York: Frederick A. Praeger, 1957; pp. 284. $4.50.

THE DEMOCRATIC ROOSEVELT: A BIOGRAPHY OF FRANKLIN D. ROOSEVELT. By Rexford G. Tugwell. New York: Double‐day, 1957; pp. 712. $8.50.

GROUP DISCUSSION PROCESSES. By John W. Keltner. New York: Longmans, Green, 1957; pp. x+373. 14.50.

THE AGE OF TELEVISION. By Leo Bogart. New York: Ungar, 1956; pp. xii+348. $6.50.

BRITISH RADIO DRAMA 1922–56. A Survey by Val Gielgud with a Foreword by Sir William Haley, K.C.M.G. London: Harrap, 1957; pp. 207, 15/.

TRAGEDY. By William G. McCollom. New York: Macmillan, 1957; pp. ix+254. $5.00.

ON THE DESIGN OF SHAKESPEARIAN TRAGEDY. By Harold S. Wilson. Toronto: University of Toronto Press, 1957; pp. 256. $5.00.

ENGLISH SENTIMENTAL DRAMA. By Arthur Sherbo. East Lansing, Michigan: Michigan State University Press, 1957; pp. viii+181. $4.50.

THE IRRESISTIBLE THEATRE. By W. Bridges‐Adams. Cleveland and New York: World, 1957; pp. xiv+446. $6.00.

THE VARIORUM EDITION OF THE POEMS OF W. B. YEATS. Edited by Peter Allt and Russell K. Alspach. New York: Macmillan, 1957; pp. xxxvi+884. $18.50.     

柯西中值定理的复合证法

本文从柯西中值定理证明的基本思想出发,给出了引入辅助函数的六种思考方法。     

孙子定理探源

本文企图通过一种自然的逻辑思路去探索孙子定理发现的思维 轨道,并把临界诱导原理渗透到探索进程与教学实践中去。