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Junior Math

ESSAYS ON THEORY OF NUMBERS

ESSAYS ON THEORY OF NUMBERS

Author: DEDEKIND, RICHARD
$9.95
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Two most important essays by the famous German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. The other is an attempt to give logical basis for transfinite numbers and properties of the natural numbers.
JUNIOR MATH MANUAL 2018-2019 edition

JUNIOR MATH MANUAL 2018-2019 edition

Author: SJC
$22.00
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NEWTON'S PRINCIPIA 3RD ED. DENSMORE EDITION

NEWTON'S PRINCIPIA 3RD ED. DENSMORE EDITION

Author: NEWTON, ISAAC
$31.95
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Presents Newton's Principia not only to modern scholars of history of science, but also to nonspecialist undergraduate students of humanities. This title moves from Newton's definitions and axioms through the essential propositions, as Newton himself identified them, to the establishment of universal gravitation and elliptical orbits.
THEORY OF TRANSFINITE NUMBERS

THEORY OF TRANSFINITE NUMBERS

Author: CANTOR, GEORGE
$12.95
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One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs.
Cantor first develops the elementary definitions and operations of cardinal and ordinal numbers and analyzes the concepts of "canlinality" and "ordinality." He covers such topics as the addition, multiplication, and exponentiation of cardinal numbers, the smallest transfinite cardinal number, the ordinal types of simply ordered aggregates, operations on ordinal types, the ordinal type of the linear continuum, and others. He then develops a theory of well-ordered aggregates, and investigates the ordinal numbers of well-ordered aggregates and the properties and extent of the transfinite ordinal numbers.
An 82-page introduction by the eminent mathematical historian Philip E. B. Jourdain first sketches the background of Cantor's theory, discussing the contributions of such predecessors as Veicrstrass, Cauchy, Dedekind, Dirichlet, Riemann, Fourier, and Hankel; it then traces the development of the theory by summarizing and analyzing Cantor's earlier work. A bibliographical note provides information on further investigations in the theory of transfinite numbers by Frege, Peano, Whitehead, Russell, etc.
"Would serve as well as any modern textto initiate a student in this exciting branch of mathematics." -- Mathematical Gazette.