



  Logic and Philosophy of Mathematics in the Early Husserl (Synthese Library)Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl’s work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics....   Subsystems of Second Order Arithmetic (Perspectives in Logic)
Foundations of mathematics is the study of the most basic concepts and
logical structure ofmathematics, with an eye to the unity of human knowl
edge. Among the most basic mathematical concepts are: number, shape,
set, function, algorithm, mathematical axiom, mathematical definition,
and mathematical proof. Typical questions in... 

Euclidean & NonEuclidean Geometries: Development and HistoryThis is the definitive presentation of the history, development and philosophical significance of nonEuclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high...   Finite Frames: Theory and Applications (Applied and Numerical Harmonic Analysis)
Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad...   E: The Story of a NumberMaor attempts to give the irrational number e its rightful standing alongside pi as a fundamental constant in science and nature; he succeeds very well.... Maor writes so that both mathematical newcomers and longtime professionals alike can thoroughly enjoy his book, learn something new, and witness the ubiquity of mathematical ideas in... 




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