MARC details
| 000 -LEADER |
|---|
| fixed length control field |
09601nam a2202329 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
DE-B1597 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20260416115149.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
260303s2022 nju fo d z eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9780691234373 |
| 041 0# - LANGUAGE CODE |
|---|
| Language |
|
| 044 ## - COUNTRY OF PUBLISHING/PRODUCING ENTITY CODE |
|---|
| MARC country code |
nju |
| ISO country code |
US-NJ |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
SCI |
| Subject category code subdivision |
034000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT |
| Subject category code subdivision |
015000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT |
| Subject category code subdivision |
018000 |
| Source |
bisacsh |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Stillwell, John, |
| 245 00 - TITLE STATEMENT |
|---|
| Title |
The Story of Proof : |
| Remainder of title |
Logic and the History of Mathematics / |
| Statement of responsibility, etc |
John Stillwell, John Stillwell. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Title |
Frontmatter -- |
| -- |
Contents -- |
| -- |
Preface -- |
| -- |
CHAPTER 1 Before Euclid -- |
| -- |
CHAPTER 2 Euclid -- |
| -- |
CHAPTER 3 After Euclid -- |
| -- |
CHAPTER 4 Algebra -- |
| -- |
CHAPTER 5 Algebraic Geometry -- |
| -- |
CHAPTER 6 Calculus -- |
| -- |
CHAPTER 7 Number Theory -- |
| -- |
CHAPTER 8 The Fundamental Theorem of Algebra -- |
| -- |
CHAPTER 9 Non-Euclidean Geometry -- |
| -- |
CHAPTER 10 Topology -- |
| -- |
CHAPTER 11 Arithmetization -- |
| -- |
CHAPTER 12 Set Theory -- |
| -- |
CHAPTER 13 Axioms for Numbers, Geometry, and Sets -- |
| -- |
CHAPTER 14 The Axiom of Choice -- |
| -- |
CHAPTER 15 Logic and Computation -- |
| -- |
CHAPTER 16 Incompleteness -- |
| -- |
Bibliography -- |
| -- |
Index |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
How the concept of proof has enabled the creation of mathematical knowledgeThe Story of Proof investigates the evolution of the concept of proof-one of the most significant and defining features of mathematical thought-through critical episodes in its history. From the Pythagorean theorem to modern times, and across all major mathematical disciplines, John Stillwell demonstrates that proof is a mathematically vital concept, inspiring innovation and playing a critical role in generating knowledge.Stillwell begins with Euclid and his influence on the development of geometry and its methods of proof, followed by algebra, which began as a self-contained discipline but later came to rival geometry in its mathematical impact. In particular, the infinite processes of calculus were at first viewed as "infinitesimal algebra," and calculus became an arena for algebraic, computational proofs rather than axiomatic proofs in the style of Euclid. Stillwell proceeds to the areas of number theory, non-Euclidean geometry, topology, and logic, and peers into the deep chasm between natural number arithmetic and the real numbers. In its depths, Cantor, Gödel, Turing, and others found that the concept of proof is ultimately part of arithmetic. This startling fact imposes fundamental limits on what theorems can be proved and what problems can be solved.Shedding light on the workings of mathematics at its most fundamental levels, The Story of Proof offers a compelling new perspective on the field's power and progress. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
SCIENCE / History. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS / History & Philosophy. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS / Logic. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Stillwell, John, |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://www.degruyterbrill.com/isbn/9780691234373">https://www.degruyterbrill.com/isbn/9780691234373</a> |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://www.degruyterbrill.com/document/cover/isbn/9780691234373/original">https://www.degruyterbrill.com/document/cover/isbn/9780691234373/original</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Electronic Books |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Relator term |
author. |
| Relator code |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 264 #1 - |
|---|
| -- |
Princeton, NJ |
| -- |
Princeton University Press, |
| -- |
[2022] |
| 264 #4 - |
|---|
| -- |
©2022 |
| 336 ## - |
|---|
| -- |
text |
| -- |
txt |
| -- |
rdacontent |
| 337 ## - |
|---|
| -- |
computer |
| -- |
c |
| -- |
rdamedia |
| 338 ## - |
|---|
| -- |
online resource |
| -- |
cr |
| -- |
rdacarrier |
| 347 ## - |
|---|
| -- |
text file |
| -- |
PDF |
| -- |
rda |
| 506 0# - RESTRICTIONS ON ACCESS NOTE |
|---|
| Terms governing access |
restricted access |
| Uniform Resource Identifier |
<a href="http://purl.org/coar/access_right/c_16ec">http://purl.org/coar/access_right/c_16ec</a> |
| Standardized terminology for access restriction |
online access with authorization |
| Source of term |
star |
| 538 ## - SYSTEM DETAILS NOTE |
|---|
| System details note |
Mode of access: Internet via World Wide Web. |
| 545 ## - BIOGRAPHICAL OR HISTORICAL DATA |
|---|
| Biographical or historical note |
John Stillwell is emeritus professor of mathematics at the University of San Francisco. His many books include Elements of Mathematics and Reverse Mathematics (both Princeton). |
| 546 ## - LANGUAGE NOTE |
|---|
| Language note |
In English. |
| 588 0# - |
|---|
| -- |
Description based on online resource; title from PDF title page (publisher's Web site, viewed March 03 2026) |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Source of heading or term |
bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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bisacsh |
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bisacsh |
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Mathematics |
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Pythagorean theorem |
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Proof theory |
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Subset |
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Zorn's lemma |
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Truth value |
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Direct proof |
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Algorithm |
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Axiom of choice |
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Set theory |
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Turing machine |
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Determinant |
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Mathematical induction |
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Prime number |
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Special case |
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Countable set |
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Extreme value theorem |
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Rational number |
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Credential |
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Addition |
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Mathematician |
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Fundamental theorem |
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Permutation |
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Number theory |
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Commutative property |
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Intuitionism |
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Inference |
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Calculation |
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Analogy |
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Analysis |
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Associative property |
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Dedekind cut |
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Proof by infinite descent |
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Computation |
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Geometry |
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Real number |
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Mathematics |
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Peano axioms |
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Predicate logic |
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Summation |
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Equation |
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Rule of inference |
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| Uncontrolled term |
Well-order |
| 653 #0 - INDEX TERM--UNCONTROLLED |
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Pythagorean theorem |
| 653 #0 - INDEX TERM--UNCONTROLLED |
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Proof theory |
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Subset |
| 653 #0 - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Continuous function (set theory) |
| 653 #0 - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Gentzen's consistency proof |
| 653 #0 - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Zorn's lemma |
| 653 #0 - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Truth value |
| 653 #0 - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Computable function |
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Direct proof |
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Algorithm |
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Mathematical induction |
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Prime number |
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Special case |
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Mathematician |
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Fundamental theorem |
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Commutative property |
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Intuitionism |
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Reason |
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| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Relator term |
author. |
| Relator code |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 773 08 - HOST ITEM ENTRY |
|---|
| Display text |
Title is part of eBook package: |
| Place, publisher, and date of publication |
De Gruyter |
| Title |
eBook Package Mathematics 2022 English / eBook-Paket Mathematik 2022 Englisch |
| International Standard Book Number |
9783110993868 |
| Other item identifier |
978-3-11-099386-8 EBOOK PACKAGE Mathematics 2022 English |
| 773 08 - HOST ITEM ENTRY |
|---|
| Display text |
Title is part of eBook package: |
| Place, publisher, and date of publication |
De Gruyter |
| Title |
eBook Package Mathematics 2022 / eBook-Paket Mathematik 2022 |
| International Standard Book Number |
9783110770445 |
| Other item identifier |
ZDB-23-DMA |
| 773 08 - HOST ITEM ENTRY |
|---|
| Display text |
Title is part of eBook package: |
| Place, publisher, and date of publication |
De Gruyter |
| Title |
Princeton University Press Complete eBook-Package 2022 |
| International Standard Book Number |
9783110749731 |
| Other item identifier |
ZDB-23-9 |
| 773 08 - HOST ITEM ENTRY |
|---|
| Display text |
Title is part of eBook package: |
| Place, publisher, and date of publication |
De Gruyter |
| Title |
eBook Package Complete 2022 / eBook-Paket Gesamt 2022 |
| International Standard Book Number |
9783110994810 |
| Other item identifier |
ZDB-23-DGG |
| 773 08 - HOST ITEM ENTRY |
|---|
| Display text |
Title is part of eBook package: |
| Place, publisher, and date of publication |
De Gruyter |
| Title |
eBook Package Complete 2022 English / eBook-Paket Gesamt 2022 Englisch |
| International Standard Book Number |
9783110993899 |
| Other item identifier |
978-3-11-099389-9 EBOOK PACKAGE COMPLETE 2022 English |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Cover |
| 912 ## - |
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| -- |
978-3-11-099386-8 EBOOK PACKAGE Mathematics 2022 English |
| -- |
2022 |
| 912 ## - |
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| -- |
ZDB-23-DMA |
| -- |
2022 |
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| -- |
ZDB-23-9 |
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2022 |
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| -- |
ZDB-23-DGG |
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2022 |
| 912 ## - |
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978-3-11-099389-9 EBOOK PACKAGE COMPLETE 2022 English |
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2022 |
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EBA_PPALL |
| 912 ## - |
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GBV-deGruyter-alles |
