In his first book, Philosophy of Arithmetic, Edmund Husserl provides a carefully worked out account of number as a categorial or formal feature of the objective world, and of arithmetic as a symbolic technique for mastering the infinite field of numbers for knowledge.
Ehrenfels states in the preface to Das Primzahlengesetz that, after a long depression following WWI, the contemplation of the "field of numbers and their eternal, necessary connections" soothed his agonized spirit ("Weltangst") (Ehrenfels 1922, III).
The International Mathematical Union cited his creativity and technical mastery and said he has had "a profound influence" on the field of number theory, the study of the properties of whole numbers.
Upper-level undergraduates, graduates and researchers in the field of number theory will find this book to be a valuable resource.
Lately, Carlitz's -Bernoulli numbers have been studied actively by many mathematicians in the field of number theory, discrete mathematics, analysis, mathematical physics, and so on (see [3 18]).
The Euler numbers and polynomials have been studied by researchers in the field of number theory, mathematical physics, and so on (cf. [1, 2, 9, 11, 13 16, 22, 23]).
In the field of number theory and mathematical physics, zeta functions and -functions interpolating these numbers in negative integers have been studied by Cenkci and Can [3], Kim [4 12], and Ozden et al. [16 18].
This approach, which is commonly used in neuroimaging (see e.g., [ 40- 42] for the case of emotion processing) has already been utilized in the field of number processing (e.g., [ 32]).
(41) In order to promote the functioning of the internal market and to support the development of cross-border services, the Commission should be given the power to adopt technical implementing measures in the field of numbering.
Or, if you are more comfortable with contained fields of numbers and data, use a data spreadsheet.
Recently, M. P. Soler has shown that if a generalized Hilbert space contains any infinite orthonormal set, it must in fact be a classical Hilbert space i.e., the division ring D must be the field of real numbers, the field of complex numbers, or the ring of quaternions.
