Textbooks with a focus on how things were discovered?

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The discussion centers on the challenge of finding in-depth resources for self-study in mathematics, physics, chemistry, and molecular biology. The individual seeks detailed explanations of experiments, methodologies, and the reasoning behind fundamental concepts, rather than just overviews typically found in textbooks. Recommendations include reading original research papers for accurate insights and exploring specific books that intertwine history with scientific concepts. Notable suggested titles include "Mathematics and Its History" by John Stillwell, "The Dreams That Stuff Is Made Of" by Stephen Hawking, and "The Road to Reality" by Roger Penrose, which provide rigorous definitions, proofs, and practical applications while also referencing landmark research. The conversation highlights the importance of understanding the historical context of scientific discoveries to grasp the evolution of concepts.
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maybe I'm looking in all the wrong places or its too much detail for one text. all the books i find just give an overview of this without going into detail. I'm teaching myself maths, physics, chemistry and molecular biology, and I'm trying to understand the fundamental concepts (ive learned them before but i didnt bother trying to understand why they are true, i just accepted it, because i don't think they really taught us this in school). I want to find detailed descriptions of what experiments were done, how they were done and the reasoning behind them; and for maths i want rigorous definitions and proofs and what practical applications there are. it would really help if they make it easy to understand too. are there any good books or textbooks from any of these areas that have this? if not, any tips for researching this stuff? thanks for your help :-)
 
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I think you would be better off just reading the actual paper published by the discoverer of whatever you wish to learn about. What you want is not something that a textbook is intended to offer.
 
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kirsty said:
maybe I'm looking in all the wrong places or its too much detail for one text. all the books i find just give an overview of this without going into detail. I'm teaching myself maths, physics, chemistry and molecular biology, and I'm trying to understand the fundamental concepts (ive learned them before but i didnt bother trying to understand why they are true, i just accepted it, because i don't think they really taught us this in school). I want to find detailed descriptions of what experiments were done, how they were done and the reasoning behind them; and for maths i want rigorous definitions and proofs and what practical applications there are. it would really help if they make it easy to understand too. are there any good books or textbooks from any of these areas that have this? if not, any tips for researching this stuff? thanks for your help :)
The history is usually separate because it is unfortunately convoluted: ideas were gained, lost, misdirected, and rediscovered in seemingly unrelated fields over and over again. In many cases, the order in which topics are introduced today are not the order in which they were discovered: the original discoveries remained vague or ungrounded until decades or centuries later. So I understand why the most efficient methods of presenting new concepts are not usually aligned with presenting their history as well. However, I have also pursued the history of various concepts independently of learning the topics. I've found the following books to be excellent.
John Stillwell's Mathematics and Its History
Stephen Hawking's The Dreams That Stuff Is Made Of
Eli Maor's e: The Story of a Number
Paul Nahin's An Imaginary Tale: The Story of \sqrt{-1}
Roger Penrose's The Road to Reality
Taylor/Wheeler's Spacetime Physics
The latter does not teach special relativity historically, but its exercises are full of actual experiments and references to landmark research papers that will provide the realistic viewpoint of what specific empirical results we base our understanding of special relativity on.
 
For the following four books, has anyone used them in a course or for self study? Compiler Construction Principles and Practice 1st Edition by Kenneth C Louden Programming Languages Principles and Practices 3rd Edition by Kenneth C Louden, and Kenneth A Lambert Programming Languages 2nd Edition by Allen B Tucker, Robert E Noonan Concepts of Programming Languages 9th Edition by Robert W Sebesta If yes to either, can you share your opinions about your personal experience using them. I...
Hi, I have notice that Ashcroft, Mermin and Wei worked at a revised edition of the original solid state physics book (here). The book, however, seems to be never available. I have also read that the reason is related to some disputes related to copyright. Do you have any further information about it? Did you have the opportunity to get your hands on this revised edition? I am really curious about it, also considering that I am planning to buy the book in the near future... Thanks!
This is part 2 of my thread Collection of Free Online Math Books and Lecture Notes Here, we will consider physics and mathematical methods for physics resources. Now, this is a work in progress. Please feel free comment regarding items you want to be included, or if a link is broken etc. Note: I will not post links to other collections, each link will point you to a single item. :book:📚📒 [FONT=trebuchet ms]Introductory college/university physics College Physics, Openstax...

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