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How did Azumaya come up with the Nakayama lemma?

Thanks to Conifold and Chris Leary's comments, I learned that the Nakayama lemma was not first created by a mathematician named Nakayama, but that mathematicians named Azumaya and Krull first created ...
user1274233's user avatar
1 vote
2 answers
231 views

Motivation and history of singular homology

Among the many cohomology theory's branches I asked about last time, I was curious about $d^2=0$ because I know that it is the formula that is the basis of all cohomology. So this time, I would like ...
user1274233's user avatar
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3 answers
286 views

History of cohomology theory

I saw this post. And I already posted it on Math stack exchange, but since someone recommended this site, I'm refining it and posting it again. And I understand that the mathematical object called ...
user1274233's user avatar
8 votes
2 answers
987 views

What were the obstacles that made the discovery of calculus very late?

I wonder What were the obstacles that made the discovery of calculus very late ? Why the discovery of calculus took so long? I know that some of the ideas and techniques of calculus appeared in ...
pie's user avatar
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5 answers
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Why was the development of mathematics very slow between Ancient Greece and Descartes?

I asked this question on MSE here In my studies of mathematics (I am not very good at mathematics, I only studied real analysis, some linear algebra, geometry and calculus ), I noticed that ...
pie's user avatar
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4 votes
2 answers
466 views

Reference request: What were the problems of accepting zero, negative numbers, and complex numbers? And how were they solved?

I asked this question on MSE and comments suggested I should ask it here I am currently reading Baby Rudin as my second analysis book (after Introduction to Real Analysis by Robert G. Bartle and ...
pie's user avatar
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0 answers
49 views

Reference request: What were the problems of accepting zero, negative numbers, and complex numbers? And how were they solved? [duplicate]

I didn't know that can happen and since I already asked the question here I don't know what to do with this question should I delete it ? I am currently reading Baby Rudin as my second analysis book (...
pie's user avatar
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1 answer
273 views

Question about Felix Klein's "Development of Mathematics in the 19th Century" [closed]

The original version of these photos is Felix Klein's "Development of Mathematics in the 19th Century" In second photo In this book, it says class-field and decompose 2 into $(1+i)$ and $(1-...
pokssin's user avatar
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1 answer
165 views

Book suggestions on Lagrangian and Hamiltonian mechanics?

What are some books that talk about the origins of Lagrangian and Hamiltonian mechanics? I would like to dig deeper into the fundamental approach and the fundamentals of action and its principles.
Muneer Ahamad Shaik's user avatar
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97 views

Is there any book dealing with the history of both astronomy and geometry?

I am preparing an introductory course on the history of astronomy and geometry for intermediate students. The intention is to teach Copernican heliocentrism, Kepler's laws of planetary motion & ...
workingclass_science's user avatar
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1 answer
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Looking for a book about "mysteries of the universe"

I used to have a book that traced the history of books which had titles like "secrets of the universe explained", "secrets of chemistry exlained", or "secrets of magic ...
zeynel's user avatar
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1 vote
1 answer
138 views

Number theory: a quote

I remember reading a remark on number theory that went something like this: "there is plenty of material in this topic for an $n$ semester course without having to repeat oneself". Have you ...
José Hdz. Stgo.'s user avatar
1 vote
0 answers
142 views

Presocratics from the view of mathematicians and physicists

I am interested in a book that has all the fragments of pre-socratics but the notes etc. in the translation are from a mathematician or physicist relating with how each point affected the evolution of ...
Jim's user avatar
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0 votes
5 answers
440 views

Looking for math history but keep finding the same old stuff

I've browsed many math history books, but I've never read too deep into any single one. I always find myself reading the about the same facts and same people over and over -- the set of topics doesn't ...
Max's user avatar
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3 votes
1 answer
176 views

Are there any good books on the history of condensed matter?

Condensed matter is probably as impactful as quantum mechanics, but has less coverage in popular media than other branches like particle physics. Condensed matter experiments have led to many Nobel ...
Mauricio's user avatar
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3 votes
1 answer
236 views

Demystifying Nikola Tesla: Scientifically sound, historically accurate biography

As any physicist knows, a lot of amateur science afficionados out there bring up Nikola Tesla in rather fantastical ways. There are indeed a few reasons for his near mythical status in popular culture,...
Ben's user avatar
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1 vote
0 answers
139 views

Books on history of biochemistry

I am looking for books on the history of biochemistry. Searching online there are some short articles that can be found, which just mention a few highlights, but I haven't really found more ...
AlexM's user avatar
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2 votes
0 answers
77 views

Kurt Gödel: a biography

I'm looking for a well-written biographical book about Kurt Gödel. Any titles you'd recommend?
mrnld's user avatar
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1 vote
0 answers
103 views

What is the original source of the problem of finding equivalent resistance between two nodes in an infinite grid of resistors?

A famous problem in electronics or physics course,is the following--- Consider an infinite 2d grid of resistors having resistance of equal value.Find the resistance between any two nodes in the grid. ...
Manas Dogra's user avatar
2 votes
0 answers
100 views

Handbook of proofs

Do you know any handbook where original proofs of mathematicians' of the past theorems and facts are in modern notation? For example, for the Archimedean spiral etc
boris2018aa's user avatar
9 votes
8 answers
532 views

Women in mathematics

I'd like to read something about the history of women in mathematics. I'd love to have reading suggestions of books in English or Italian, of 3 kinds: 1) History of math books, academic style; 2) ...
Alberto Saracco's user avatar
5 votes
2 answers
525 views

I am searching for a book of this form and content, is there any?

I would like to know is there a book that is both a history of mathematics and a collection of open problems? I know that there exist many books that cover either larger or smaller periods of the ...
user avatar
2 votes
3 answers
378 views

Which book covers topology historically?

Is there a book, which expresses all the questions, or searches for attainment of certain utility/need, or thing, which gave the discovery or invention of all the components of Topology? I need book ...
Sensebe's user avatar
  • 675
6 votes
7 answers
387 views

Pop-sci books that were publicly influential but based on weak science

(I hope this is on-topic on this site) I am wondering what are some of the best examples of popular-science books that had large influence in public, but was based on weak science? By "large ...
Eff's user avatar
  • 162
0 votes
0 answers
129 views

Books on the history of influential Treatises on Calculus and Analysis

I'm interested in the history of calculus & analysis and looking for books that examine in some detail the history of writings on these subjects, mainly the history of the 17th-century "Treatise ...
exp8j's user avatar
  • 217
7 votes
4 answers
456 views

Textbook on the History of General Relativity

I have studied General Relativity from various textbooks already, and the subject fascinated me immensely. I was wandering if there is any textbook that deals with the chronological "steps" that ...
grimx's user avatar
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5 votes
3 answers
3k views

Looking for books on the history of chemistry?

I'm looking for good books on history of chemistry and chemical methodology. There appear to be surprisingly few available on the market based on my own 'research' (just googling and phrase-searching ...
user51309's user avatar
  • 205
2 votes
1 answer
368 views

Good book on history of mechanics

For absolute beginners in physics, what are some good books in the history of physics (especially mechanics) ? (But it should not be full of mathematical hand waving - actual historical development ...
Excel Hand's user avatar
3 votes
2 answers
152 views

Most known teachers of specific branch of Science

After acquainting myself with the works of Richard Feynman in Physics: " The Feynman Lectures on Physics" and partially with the works of Donald Knuth in Programming: "The Art of Computer Programming",...
Ziezi's user avatar
  • 365
8 votes
1 answer
582 views

History of complex analysis

Does anyone know of a good book on the history of imaginary numbers and complex analysis and its role in physics?
user3880994's user avatar
15 votes
4 answers
699 views

Historically accurate alternatives to "Men of Mathematics"?

I have heard that the book "Men of Mathematics" by E. Bell is a very entertaining text composed of several biographies of a number of influential mathematicians, and is in fact one of the most popular ...
Nethesis's user avatar
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0 votes
0 answers
65 views

Ludwig Boltzmann: life and work

Could you suggest a good biographic book about the life and work of the physicist Ludwig Boltzmann?
mrnld's user avatar
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8 votes
5 answers
364 views

Which book gives a thorough understanding on the scientific environment of antiquity?

I have started reading Rene Dugas' History of Mechanics book. I want to understand physics from the spectacle of seeing its intellectual evolution instead of directly jumping into its general theories/...
Sensebe's user avatar
  • 675
11 votes
5 answers
2k views

I'm looking for books of Muslim scholars/scientists who have had some influence in the development of modern science

In the Golden Age of Islam, Muslim scholars and scientists wrote a lot of books and manuscripts in many sciences such as medicine. My question is, are there any books which have had some longer (or ...
Medi1Saif's user avatar
  • 255