Did You Say Mathematics?

Did You Say Mathematics?
Tác giả:	Ya. Khurgin
Ký hiệu tác giả:	KH-Y
Dịch giả:	George Yankovsky
DDC:	510 - Toán học
Ngôn ngữ:	Anh
Số cuốn:	1

Hiện trạng các bản sách

Mã số:	258SB0010519
Nhà xuất bản:	Mir Publishers, Moscow
Năm xuất bản:	1974
Khổ sách:	17
Số trang:	359
Kho sách:	Thư viện Sao Biển
Tình trạng:	Hiện có

A FEW WORDS WITH THE READER	9
Mathematician and physiologist get together in September	12
Mathematician and physiologist get together in Decembers	20
A radio engineer needs math	25
One last word to the reader	31
WHAT DO YOU THINK ABOUT MATHE- MATICS?	33
What is mathematics all about?	35
A little historical background	36
RUBBER-SHEET MATHEMATICS	41
Mathematics and art	47
Continuous transformations	47
A remarkable surface	55
Graphs	58
NUMBERS AND POINTS	71
THE MATHEMATICS OF A SADDLE	88
Extrema	96
Extremal curves	106
The epoch of Euler	108
Soap bubbles	110
MATHEMATICIANS ARE NOT ALL ALIKE	114
Where do axioms come from?	116
Two ways of reasoning	117
Induction and mathematical induction	125
The drama of equation solving-an historical sketch	129
ENGINEER CONSULTS MATHEMATICIAN	136
What is better?	141
Criteria	147
Optimization	150
How close?	152
Mary and Maude	155
Integrals-not so terrible after all	157
Space, distance, norm	162
Terms and where they come from	169
The problems of an oil engineer	172
Choosing a job	174
Model building	184
Mathematical models	187
Events and their models	191
Does one really need a mathematical model?	197
Modelling the oil-refining process	206
YOU PROBABLY LIKE THIS BOOK	209
Probability theory. Some background	212
Random events	213
Probability	214
An experiment and what came of it	216
Engineer consults mathematician	222
Experimenter and statistician	227
Decision making	231
Intuition and birthdays	234
Intuition and luck	239
Random walks	246
The drunkard's walk	258
The random-walk student	260
INFORMATION	268
Memory and codes	271
Information and what it's all about	278
Quantitative measures	282
The capacity of a communication channel	288
Coding	290
A language model and the transmission of information	295
Basic principle of the theory of the trans- mission of information	297
What about the content?	300
MATHEMATICAL MACHINES AND WHAT THEY CAN DO	303
The psychiatrist drops in for a talk	310
Pattern recognition	318
Technical diagnostics	327
Medical diagnostics	338
Replacing doc with a diagnostic machine	347
What is our life? A game...	349
One final word to the reader	360

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