On the Shape of Mathematical Arguments (Record no. 35287)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03574nam a22005295i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783540471660 |
| -- | 978-3-540-47166-0 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 005.1015113 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Gasteren, Antonetta J. M. |
| 245 10 - TITLE STATEMENT | |
| Title | On the Shape of Mathematical Arguments |
| Statement of responsibility, etc | by Antonetta J. M. Gasteren. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Berlin, Heidelberg : |
| Name of publisher | Springer Berlin Heidelberg, |
| Year of publication | 1990. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XII, 184 p. |
| Other physical details | online resource. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Computer Science, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | A termination argument -- A problem on bichrome 6-graphs -- Proving the existence of the Euler line -- In adherence to symmetry -- On a proof by Arbib, Kfoury, and Moll -- Not about open and closed sets -- A monotonicity argument -- On the inverse of a function -- A calculational proof of Helly's theorem on convex figures -- The formal derivation of a proof of the invariance theorem -- Proving theorems with Euclid's algorithm -- On the deisng of an in-situ permutation algorithm -- Shiloach's algorithm -- Clarity of exposition -- On naming -- On the ue of formalism -- Epilogue -- Proof rules for guarded-command programs -- Notational conventions. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book deals with the presentation and systematic design of mathematical proofs, including correctness proofs of algorithms. Its purpose is to show how completeness of argument, an important constraint especially for the correctness of algorithms, can be combined with brevity. The author stresses that the use of formalism is indispensible for achieving this. A second purpose of the book is to discuss matters of design. Rather than addressing psychological questions, the author deals with more technical questions like how analysis of the shape of the demonstrandum can guide the design of a proof. This technical rather than psychological view of heuristics together with the stress on exploiting formalism effectively are two key features of the book. The book consists of two independently readable parts. One part includes a number of general chapters discussing techniques for clear exposition, the use of formalism, the choice of notations, the choice of what to name and how to name it, and so on. The other part consists of a series of expositional essays, each dealing with a proof or an algorithm and illustrating the use of techniques discussed in the more general chapters. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Computer science. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Software engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Logic design. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Computer Science. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Logics and Meanings of Programs. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Software Engineering. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/BFb0020908 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg, |
| -- | 1990. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 0302-9743 ; |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK5993 | http://dx.doi.org/10.1007/BFb0020908 | E-BOOKS |