Mathematics From the Birth of Numbers

Front Cover
W. W. Norton & Company, Jan 7, 1997 - Mathematics - 1093 pages
A gently guided, profusely illustrated Grand Tour of the world of mathematics.

This extraordinary work takes the reader on a long and fascinating journey--from the dual invention of numbers and language, through the major realms of arithmetic, algebra, geometry, trigonometry, and calculus, to the final destination of differential equations, with excursions into mathematical logic, set theory, topology, fractals, probability, and assorted other mathematical byways. The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology.

Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.
 

Contents

I
1
III
3
IV
5
V
7
VI
26
VII
29
VIII
31
IX
32
CXXXI
572
CXXXII
582
CXXXIII
595
CXXXVI
596
CXXXVII
598
CXXXVIII
603
CXXXIX
610
CXL
621

X
34
XI
44
XII
46
XIII
48
XIV
56
XV
58
XVI
61
XVII
62
XVIII
66
XIX
69
XX
70
XXI
72
XXII
77
XXIII
82
XXIV
84
XXV
87
XXVI
89
XXVII
97
XXVIII
98
XXIX
101
XXX
113
XXXI
132
XXXII
134
XXXIII
150
XXXIV
157
XXXV
161
XXXVI
168
XXXVII
183
XXXIX
184
XL
186
XLI
188
XLII
196
XLIII
199
XLIV
201
XLV
205
XLVI
215
XLIX
216
L
219
LI
220
LII
225
LIII
227
LIV
229
LV
231
LVI
232
LVII
233
LVIII
242
LIX
249
LX
252
LXI
257
LXII
263
LXV
264
LXVI
266
LXVII
270
LXVIII
285
LXIX
286
LXX
289
LXXI
295
LXXII
297
LXXIII
302
LXXIV
307
LXXV
308
LXXVI
309
LXXVII
312
LXXVIII
316
LXXIX
321
LXXX
326
LXXXI
331
LXXXIV
332
LXXXVI
344
LXXXVII
351
LXXXVIII
359
XCI
360
XCII
366
XCIII
368
XCIV
372
XCV
373
XCVI
374
XCVII
377
XCVIII
381
CI
382
CIII
401
CIV
405
CV
419
CVI
451
CIX
452
CX
464
CXI
471
CXII
472
CXIII
496
CXIV
501
CXV
510
CXVI
522
CXVII
527
CXX
528
CXXI
530
CXXII
533
CXXIII
535
CXXIV
543
CXXVII
544
CXXVIII
545
CXXIX
555
CXXX
568
CXLII
622
CXLIII
623
CXLIV
625
CXLV
626
CXLVI
627
CXLVII
629
CXLVIII
631
CXLIX
633
CLII
634
CLIII
636
CLIV
638
CLV
642
CLVI
650
CLVII
655
CLVIII
657
CLIX
667
CLXII
669
CLXIII
670
CLXIV
679
CLXVIII
681
CLXIX
685
CLXX
691
CLXXI
701
CLXXII
706
CLXXIII
712
CLXXIV
717
CLXXVIII
718
CLXXIX
719
CLXXX
749
CLXXXI
752
CLXXXII
761
CLXXXV
762
CLXXXVI
763
CLXXXVII
767
CLXXXVIII
771
CLXXXIX
774
CXC
775
CXCIII
777
CXCIV
778
CXCV
783
CXCVIII
784
CXCIX
785
CC
786
CCI
787
CCII
789
CCIII
790
CCIV
793
CCVII
794
CCVIII
811
CCIX
818
CCX
823
CCXIII
825
CCXIV
827
CCXV
828
CCXVI
831
CCXVII
833
CCXX
834
CCXXI
838
CCXXII
843
CCXXIII
847
CCXXV
848
CCXXVI
856
CCXXVII
863
CCXXVIII
867
CCXXXI
869
CCXXXIII
873
CCXXXIV
876
CCXXXV
878
CCXXXVI
880
CCXXXVII
881
CCXXXVIII
883
CCXXXIX
887
CCXLII
889
CCXLIII
892
CCXLIV
896
CCXLV
897
CCXLVI
900
CCXLVII
903
CCL
905
CCLI
906
CCLII
911
CCLIII
914
CCLIV
919
CCLVII
921
CCLVIII
922
CCLIX
927
CCLX
943
CCLXI
957
CCLXIV
958
CCLXV
959
CCLXVI
962
CCLXVII
967
CCLXVIII
970
CCLXIX
972
CCLXX
975
CCLXXI
985
CCLXXII
987
CCLXXIII
990
CCLXXIV
996
CCLXXV
1011
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About the author (1997)

Jan Gullberg (1936—1998) was a practicing general surgeon. A native of Sweden, he was well known there for his writings on various scientific and medical topics. Peter Hilton was a British mathematician, noted for his contributions to homotopy theory and for code-breaking during the Second World War.

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