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Architecture of mathematics / Simon Serovajsky.

By: Serovajsky, Simon [author.]Material type: Text

TextPublisher: Boca Raton, FL : CRC Press, Taylor & Francis Group, 2021Edition: First editionDescription: 1 online resource (xviii, 376 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9780429470370; 0429470371; 9780429893544; 042989354X; 9780429893537; 0429893531; 9780429893520; 0429893523Subject(s): MATHEMATICS / General | MATHEMATICS / Set Theory | MATHEMATICS / Functional Analysis | Logic, Symbolic and mathematical | Arithmetic -- Foundations | Mathematics -- PhilosophyDDC classification: 511.3 LOC classification: QA9Online resources: Taylor & Francis | OCLC metadata license agreement

Contents:

1. Language. 2. Sets. 3. Numbers. 4. Objects. 5. Composites. 6. Synthesis. Index

Summary: Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications. It describes the many interweaving relationships between different areas of mathematics and its practical applications, and as such provides unique reading for professional mathematicians and nonmathematicians alike. This book can be a very important resource both for the teaching of mathematics and as a means to outline the research links between different subjects within and beyond the subject. Features All notions and properties are introduced logically and sequentially, to help the reader gradually build understanding. Focusses on illustrative examples that explain the meaning of mathematical objects and their properties. Suitable as a supplementary resource for teaching undergraduate mathematics, and as an aid to interdisciplinary research. Forming the reader's understanding of Mathematics as a unified science, the book helps to increase his general mathematical culture.

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"A Chapman & Hall Book".

1. Language. 2. Sets. 3. Numbers. 4. Objects. 5. Composites. 6. Synthesis. Index

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications. It describes the many interweaving relationships between different areas of mathematics and its practical applications, and as such provides unique reading for professional mathematicians and nonmathematicians alike. This book can be a very important resource both for the teaching of mathematics and as a means to outline the research links between different subjects within and beyond the subject. Features All notions and properties are introduced logically and sequentially, to help the reader gradually build understanding. Focusses on illustrative examples that explain the meaning of mathematical objects and their properties. Suitable as a supplementary resource for teaching undergraduate mathematics, and as an aid to interdisciplinary research. Forming the reader's understanding of Mathematics as a unified science, the book helps to increase his general mathematical culture.

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