Introduction to Modern Mathematics
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ELEMENTARY CONCEPTS OF ABSTRACT ALGEBRAS1)1)An exposition of abstract algebra may be found in P. M. Cohn, Universal algebra, New York 1965, or in G. Grätzer, Universal Algebra, D. Van Nostrand, Princeton 1968. See also Moderne algebra by B. L. van der Waerden, 2 vols., Berlin 1930, 1931, and A survey of modern algebra by G. Birkhoff and S. Mac Lane, New York 1953.

Introduction to Modern Mathematics ◽

10.1016/b978-0-7204-2067-8.50018-0 ◽

1973 ◽

pp. 287-326

Author(s):

HELENA RASIOWA

Keyword(s):

New York ◽

Universal Algebra ◽

Abstract Algebra ◽

Modern Algebra ◽

Moderne Algebra ◽

Mac Lane

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ORDERED SETS

Introduction to Modern Mathematics ◽

10.1016/b978-0-7204-2067-8.50013-1 ◽

1973 ◽

pp. 121-137

Author(s):

HELENA RASIOWA

Keyword(s):

Ordered Sets

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LIST OF IMPORTANT SYMBOLS

Introduction to Modern Mathematics ◽

10.1016/b978-0-7204-2067-8.50019-2 ◽

1973 ◽

pp. 327-328

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POWERS OF SETS

Introduction to Modern Mathematics ◽

10.1016/b978-0-7204-2067-8.50012-x ◽

1973 ◽

pp. 99-120

Author(s):

HELENA RASIOWA

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EQUIVALENCE RELATIONS1)1)The great importance of these relations in the various branches of mathematics was first indicated by G. Frege (1884).

Introduction to Modern Mathematics ◽

10.1016/b978-0-7204-2067-8.50011-8 ◽

1973 ◽

pp. 90-98

Author(s):

HELENA RASIOWA

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GENERALIZED UNIONS AND INTERSECTIONS OF SETS

Introduction to Modern Mathematics ◽

10.1016/b978-0-7204-2067-8.50008-8 ◽

1973 ◽

pp. 50-59

Author(s):

HELENA RASIOWA

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THE FUNCTIONAL CALCULUS AND ITS APPLICATIONS IN MATHEMATICAL PROOFS1)1)The beginnings of the functional calculus (called also predicate calculus) can be found in the 19th century, mainly in the works of C. S. Peirce (1839–1914), E. Schroder (1841–1902), and G. Frege (1848–1925). Its modern form emerged only in the early 20th century in the Principia mathematica (1910) by A. N. Whitehead and B. Russell.

Introduction to Modern Mathematics ◽

10.1016/b978-0-7204-2067-8.50017-9 ◽

1973 ◽

pp. 234-286

Author(s):

HELENA RASIOWA

Keyword(s):

20Th Century ◽

19Th Century ◽

Functional Calculus ◽

Predicate Calculus ◽

Early 20Th Century ◽

The 19Th Century ◽

Modern Form

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WELL-ORDERED SETS

Introduction to Modern Mathematics ◽

10.1016/b978-0-7204-2067-8.50015-5 ◽

1973 ◽

pp. 152-176

Author(s):

HELENA RASIOWA

Keyword(s):

Ordered Sets

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GENERALIZED PRODUCTS. m-ARY RELATIONS. FUNCTIONS OF SEVERAL VARIABLES. IMAGES AND INVERSE IMAGES UNDER A FUNCTION

Introduction to Modern Mathematics ◽

10.1016/b978-0-7204-2067-8.50010-6 ◽

1973 ◽

pp. 72-89

Author(s):

HELENA RASIOWA

Keyword(s):

Several Variables

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Errata

Introduction to Modern Mathematics ◽

10.1016/b978-0-7204-2067-8.50004-0 ◽

1973 ◽

pp. xiii

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