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。     

辫子monoidal范畴上MH的相关Hopf模

设(H,σ)是余拟三角Hopf代数,则MH是辫子monoidal范畴MH上的相关Hopf模的基本结构定理是MH上的Hopf模的基本结构定理的推广。     

Weierstrass逼近定理的应用

应用Weierstrass逼近定理对于连续奇函数和连续偶函数的性质做了进一步的刻划.     

例谈微分中值定理的应用

本文讨论了微分中值定理的内在联系及其在解题中的应用。如：利用几何意义思考解题、讨论函数零点的存在性、研究函数的单调性、证明不等式、证明恒等式、求函数的极限等等。     

泰勒公式的应用

泰勒公式是数学分析这门课中的一个重要公式,它被广泛地应用于一些重要问题的计算及证明上。本文扼要地介绍了泰勒公式在极限、不等式、中值公式、函数方程以及在中学解析几何中的具体应用。     

一类广义多值向量变分不等式问题

本文在Hauscloff拓扑向量空间中引入和研究了一类广义多值向量变分不等式问题,通过运用删定理证明了解的一些存在性定理,推广和改进了文献[3][5]的相关研究成果．