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Author
Language
English
Description
This clear and well-developed approach to axiomatic set theory is geared toward upper-level undergraduates and graduate students. It examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, finite sets and cardinal numbers, rational and real numbers, and other subjects. 1960 edition.
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English
Description
This classic by one of the twentieth century's most prominent mathematicians offers a concise introduction to set theory. Suitable for advanced undergraduates and graduate students in mathematics, it employs the language and notation of informal mathematics. There are very few displayed theorems; most of the facts are stated in simple terms, followed by a sketch of the proof. Only a few exercises are designated as such since the book itself is an...
Author
Language
English
Description
Suitable for upper-level undergraduates, this accessible approach to set theory poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. Starting with a repetition of the familiar arguments of elementary set theory, the level of abstract thinking gradually rises for a progressive increase in complexity. A historical introduction presents a brief account of the growth of set theory,...
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English
Description
This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. Beginning with a discussion of the rudiments of set theory, authors Norman T. Hamilton and Joseph Landin lead readers through a construction of the natural number system, discussing the integers and the rational numbers, and concluding with an in-depth examination of the real numbers. Drawn from lecture...
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English
Description
The primary mechanism for ideological and theoretical unification in modern mathematics, set theory forms an essential element of any comprehensive treatment of the philosophy of mathematics. This unique approach to set theory offers a technically informed discussion that covers a variety of philosophical issues. Rather than focusing on intuitionist and constructive alternatives to the Cantorian/Zermelian tradition, the author examines the two most...
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English
Description
This volume offers a guided tour of modern mathematics' Garden of Eden, beginning with perspectives on the finite universe and classes and Aristotelian logic. Author Mary Tiles further examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. Includes 32 figures.
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English
Description
This text unites the logical and philosophical aspects of set theory in a manner intelligible both to mathematicians without training in formal logic and to logicians without a mathematical background. It combines an elementary level of treatment with the highest possible degree of logical rigor and precision. Starting with an explanation of all the basic logical terms and related operations, the text progresses through a stage-by-stage elaboration...
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Language
Français
Description
Dans ce livre, les hypothèses théoriques des sujets mathématiques suivants sont présentées :
logique mathématique
théorie des ensembles
théorie des fonctions
calcul littéral
propriétés des puissances et des radicaux
calcul des monmes et des polynmes
Chaque sujet est traité en mettant en évidence les applications pratiques et en résolvant quelques exercices significatifs.
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English
Description
Set theory permeates much of contemporary mathematical thought. This text for undergraduates offers a natural introduction, developing the subject through observations of the physical world. Its progressive development leads from concrete finite sets to cardinal numbers, infinite cardinals, and ordinals. Although set theory begins in the intuitive and the concrete, it ascends to a very high degree of abstraction. All that is necessary to its grasp,...
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Español
Description
En este libro se presentan los supuestos teóricos de los siguientes temas matemáticos:
lógica matemática
teoría de conjuntos
teoría de funciones
cálculo literal
propiedades de potencias y radicales
calculo de monomios y polinomios
Cada tema se trata destacando las aplicaciones prácticas y resolviendo algunos ejercicios significativos.
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English
Description
This outstanding text offers undergraduate students of physics, chemistry, and engineering a concise, readable introduction to matrices, sets, and groups. Concentrating mainly on matrix theory, the book is virtually self-contained, requiring a minimum of mathematical knowledge and providing all the background necessary to develop a thorough comprehension of the subject. Beginning with a chapter on sets, mappings, and transformations, the treatment...
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Swedish
Description
Först och främst är detta en vacker berättelse om en flicka som lär sig att räkna. Det visar sig dock vara så att de flesta av oss har glömt hur vi blev skickliga räknare. Få vet om att vi då också lär oss koncept från högre matematik. Om ni är nyfikna på varför ni kan räkna eller om ni vill göra några övningar tillsammans med barn för att hjälpa dem på vägen mot att räkna, då är det här en bok för er. Det finns något...
16) Seaweed soup
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Series
Physical Desc
31 pages : color illustrations ; 21 x 26 cm.
Language
English
Description
As he asks more and more friends to join him for lunch, Turtle must make up sets of dishes to accommodate them.
17) Null Set
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Language
English
Description
Null Set collects the slightly obsessive possibilities that rise when we give them the space-odd jobs, trouble-making, and farm boy rambling, all in dialogue with mathematics, or William Faulkner, or other poets. From "Hypotenuse": HYPOTENUSE I write three, erase it, blow rubber shavings from the desk. Write its notation, erase it, blow shavings. Then three 3s erased, shavings blown, persist for the nonce, three of nothing, nowhere attending to discrete...
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English
Description
The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are (reserved power clause) reserved to the States respectively, or to the people. Constitution Universal set Bill of Rights and Amendments Subset of Universal set 10th Amendment Subset of Bill of Rights Delegated Clause and Reserved power clause Subset of 10th amendment Power of representation subsists at quasi equal populated districts. Reserved...
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