附註:Includes bibliographical references (pages 221-223).
""The Mathematical Sciences: A Report""; ""Copyright""; ""Foreword""; ""Contents""; ""I Summary ""; ""1 Mathematics and Society ""; ""THE MATHEMATIZATION OF CULTURE""; ""THE NEED FOR MATHEMATICALLY TRAINED PEOPLE""; ""APPLIED MATHEMATICAL SCIENCES""; ""CORE MATHEMATICS""; ""THE POSITION OF THE UNITED STATES IN MATHEMATICS""; ""2 Recommendations ""; ""RESEARCH""; ""Growth and Level""; ""The Special Situation of Computer Science""; ""Basic Research in Applied Mathematics""; ""Sources of Support""; ""Forms of Support""; ""Peer Evaluation""; ""EDUCATION""; ""Research Apprenticeship""
""Early Graduate Education""""Faculty Improvement""; ""Undergraduate Education in Applied Mathematical Sciences""; ""SURVEYS AND STUDIES""; ""Continuing Survey Activities in the Mathematical Sciences""; ""Mathematical Sciences in Government Research and Development Establishments""; ""New National Goals""; ""IMPLICATIONS FOR PROGRAM AND RESOURCES PLANNING""; ""The Staffing of the Colleges; Research and Research Education""; ""Undergraduate and Early Graduate Education""; ""Applied Research""; ""Sources and Forms""; ""Cautionary Remarks""; ""II The State of the Mathematical Sciences""
""3 The Community of Mathematics """"HISTORICAL PERSPECTIVES""; ""THE NATURE OF MATHEMATICS""; ""CORE AND APPLICATIONS""; ""CRITICISMS AND TENSIONS""; ""IMPROVING COMMUNICATIONS""; ""4 Core Mathematics""; ""MATHEMATICAL LOGIC""; ""NUMBER THEORY""; ""COMBINATORIAL ANALYSIS""; ""ALGEBRA""; ""Field Theory""; ""Ring Theory""; ""Linear Algebra""; ""Algebras""; ""Group Theory""; ""Homological Algebra and Category Theory""; ""ANALYSIS""; ""Functions of Complex Variables""; ""Harmonic Analysis""; ""Functional Analysis""; ""Differential Equations""; ""Probability Theory""; ""GEOMETRY""
""Algebraic Geometry""""Differential Geometry""; ""Point Set Topology""; ""Algebraic Topology""; ""Differential Topology""; ""Lie Groups""; ""5 Applied Mathematical Sciences""; ""FLUID DYNAMICS: AN EXAMPLE OF PHYSICAL MATHEMATICS""; ""STATISTICS""; ""COMPUTER SCIENCE""; ""OPTIMIZED ALLOCATION, CONTROL, AND DECISIONS""; ""OTHER AREAS""; ""6 Examples of Mathematics in Use""; ""MATHEMATICS AND PHYSICS""; ""MATHEMATICAL SCIENCES IN ENGINEERING""; ""AN EXAMPLE FROM THE ENVIRONMENTAL SCIENCES: NUMERICAL WEATHER PREDICTION""; ""MATHEMATICAL SCIENCES IN ECONOMICS""
""MATHEMATICS IN FINANCE AND INSURANCE""""MATHEMATICS IN MANAGEMENT AND OPERATIONS""; ""CONCLUDING REMARKS""; ""III The Mathematical Sciences in Education ""; ""7 Undergraduate Education""; ""THE INCREASE IN MATHEMATICS MAJORS""; ""TOTAL ENROLLMENTS IN THE MATHEMATICAL SCIENCES""; ""QUALITY AND DISTRIBUTION OF MATHEMATICAL-SCIENCE FACULTY""; ""THE JUNIOR COLLEGES""; ""THE MATHEMATICS FACULTY IN JUNIOR COLLEGES""; ""8 Graduate Education ""; ""THE MASTER'S DEGREE""; ""THE DOCTORATE IN THE MATHEMATICAL SCIENCES""; ""THE DOCTORATE OF PHILOSOPHY AND INTERMEDIATE DEGREES""
