Mathematics-The Music of Reason (Record no. 13299)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03058nam a2200217 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160616s1992 000 0 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 354053346X |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 51 |
| Item number | DIE |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Dieudonne, Jean |
| 245 ## - TITLE STATEMENT | |
| Title | Mathematics-The Music of Reason |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Berlin |
| Name of publisher | Springer Verlag |
| Year of publication | 1992 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | x,287 p. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | mathematics and Mathematicians. 1. The Concept of Mathematics. 2. A Mathematician's Life. 3. The Work of Mathematicians and the Mathematical Community. 4. Masters and Schools<br/>II. The Nature of Mathematical Problems. 1. "Pure" Mathematics and "Applied" Mathematics. 2. Theoretical Physics and Mathematics. 3. Applications of Mathematics in the Classical Era. 4. The Utilitarian Attacks. 5. Fashionable Dogmas. 6. Conclusions<br/>III. Objects and Methods in Classical Mathematics. 1. The Birth of Pre-Mathematical Ideas. 2. The Idea of Proof. 3. Axioms and Definitions. 4. Geometry, from Euclid to Hilbert. 5. Numbers and Magnitudes. 6. The Idea of Approximation. 7. The Evolution of Algebra. 8. The Method of Coordinates. 9. The Concept of Limit and the Infinitesimal Calculus<br/>App. 1. Calculation of Ratios in Euclid's Book V<br/>App. 2. The Axiomatic Theory of Real Numbers<br/>App. 3. Approximation of the Real Roots of a Polynomial<br/>App. 4. Arguments by "Exhaustion"<br/>App. 5. Applications of Elementary Algorithms of the Integral Calculus<br/>IV. Some Problems of Classical Mathematics. 1. Intractable Problems and Sterile Problems. 2. Prolific Problems<br/>App. 1. Prime Numbers of the Form 4k-1 or 6k-1. App. 2. The Decomposition of [actual symbol not reproducible](s) as a Eulerian Product<br/>App. 3. Lagrange's Method for the Solution of ax[superscript 2] + bxy + cy[superscript 2] = n in Integers<br/>App. 4. Bernoulli Numbers and the Zeta Function<br/>V. New Objects and New Methods. 1. New Calculations. 2. The First Structures. 3. The Language of Sets and General Structures. 4. Isomorphisms and Classifications. 5. Mathematics of Our Day. 6. Intuition and Structures<br/>App. 1 The Resolution of Quartic Equations<br/>App. 2 Additional Remarks on Groups and on the Resolution of Algebraic Equations<br/>App. 3 Additional Remarks on Rings and Fields<br/>App. 4. Examples of Distances<br/>App. 5. Fourier Series<br/>VI. Problems and Pseudo-Problems about "Foundations" 1. Non-Eueclidean Geometries. 2. The Deepening of the Concept of Number. 3. Infinite Sets. 4. "Paradoxes" and their Consequences. 5. The Rise of Mathematical Logic. 6. The Concept of "Rigorous Proof"<br/>App. 1. Geometry on a Surface<br/>App. 2. Models of the Real Numbers<br/>App. 3. Theorems of Cantor and of his School |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book is of interest for students of mathematics or of neighboring subjects like physics, engineering, computer science, and also for people who have at least school level mathematics and have kept some interest in it. Also good for younger readers just reaching their final school year of mathematics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics Philosophy |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Dales, J C (Translater) |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | First Floor, Rack No: 26, Shelf No: 15 | 51 DIE | 33132 | BOOKS |