000 02203nam a22003377a 4500
001 22415675
003 IIITD
005 20250306020003.0
008 220208s2022 nju 000 0 eng
010 _a 2022932472
020 _a9780691234366
_q(hardback)
020 _z9780691234373
_q(ebook)
040 _aDLC
_beng
_erda
_cDLC
042 _apcc
082 _a510.9
_bSTI-S
100 1 _aStillwell, John
245 1 4 _aThe story of proof :
_blogic and the history of mathematics
_cby John Stillwell
260 _aNew Jersey :
_bPrinceton University Press,
_c©2022
263 _a2211
300 _ax, 441 p. :
_bill. ;
_c24 cm.
500 _aThis book includes bibliographical references and index.
520 _a"The proof is one of the most significant and defining features of mathematical thought. Many of the most significant advances in mathematics have been advances in the concept of proof, and in many ways, the history of mathematics can be viewed as a history of the proof. Yet proof itself is not considered an interesting topic by many mathematicians. In the United States, proof is not deemed an essential part of mathematics education until the upper-undergraduate level. In The Story of Proof, John Stillwell argues that the proof is an important object of study in itself. He provides insight into the history, theory, and practice of proof in order to shed light on the way that mathematics works at its most fundamental levels. The book begins with the proof of one of mathematics' most foundational theorems, the Pythagorean Theorem. The book then proceeds to look at the role of proof in the various fields of mathematics, including geometry and number theory, algebra, algebraic geometry, and calculus. By examining the history of the proof, Stillwell sheds new light on age-old questions in mathematics, including how logic, computation, and abstraction are connected with one another and with the rest of mathematics"--
650 _aPythagorean Theorem
650 _aEuclid
650 _aAlgebra
650 _aNumber theory
650 _aTopology
906 _a0
_bibc
_corignew
_d2
_eepcn
_f20
_gy-gencatlg
942 _2ddc
_cBK
_01
999 _c170783
_d170783