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1. ### Other Utility of a general math book introducing subjects not in historical order?

Related: ..maxim of Niels Henrik Abel, “I learned from the masters and not from the pupils” .. (Extracted from Alexander Ostermann • Gerhard Wanner, Geometry by Its History )
2. ### Other Utility of a general math book introducing subjects not in historical order?

Related: . . . our students of mathematics would profit much more from a study of Euler’s Introductio in Analysin Infinitorum, rather than of the available modern textbooks. (Andr´e Weil 1979, quoted by J.D.Blanton 1988, p. xii)
3. ### I Topology Words: Reasons for the particular names

From Munkres, Topology: "A topology on a set X is a collection T of subsets of X having the following properties: (1) ∅ and X are in T . (2) The union of the elements of any subcollection of T is in T . (3) The intersection of the elements of any finite subcollection of T is in T . A set X for...
4. ### I Existence of experience related to i

Of irrational number? Though yet not clear to me, it seems that we can give physical quantity of irrational length.
5. ### I Existence of experience related to i

If we have solution of an equation as x=1, it may be expressing, depending on context, 1 apple, 1 excess certain thing, etc. And, if we have solution of an equation as x=-1, it may be expressing, depending on context, 1 deficient apple, 1 deficient certain thing, etc. Is there any experience...
6. ### Artistic sense-ualisation of elementary origins of the Universe

@DaveC426913: Yeah, a more detailed diagram or video. I will see that wiki page, and am also now seeing books on such descriptions. @Drakkith : I had before read few pages of that book (Hawking's), 3 years ago :) I will read it now again. I might have to extract data from different sources, and...
7. ### Artistic sense-ualisation of elementary origins of the Universe

Thank you for the time. I am in India, I may not be able to use the words in common usage. Yeah, I want to know construction of universe from the elements, i.e. visualisation of universe's evolution from its elementary origins to the compound present day. As visualisation will be expressing...
8. ### Artistic sense-ualisation of elementary origins of the Universe

As said to Drakkith, from all the clarifications I had, it seems optimal to search individual documentaries (as it may be difficult to find a source which would give all the data mentioned ahead), which visualize the complete elementary nature (properties which express the complete working) of...
9. ### Artistic sense-ualisation of elementary origins of the Universe

Sorry, for not being clear. I was trying to express on getting data on the origins of the universe (and even that of evolution to the present), as it really happened before. Different senses seem to give different data; I was expressing on getting data on the origins of universe, as sensed from...
10. ### Artistic sense-ualisation of elementary origins of the Universe

Thank you for the reply. That poster is near to the data I needed (for my other conformations) to know. I needed to know nature of space, time, elementary particles, and other elementary conformations as dark matter, etc. in the order of their emergence, along with the emergence of present...
11. ### Artistic sense-ualisation of elementary origins of the Universe

I am watching documentaries, as Cosmos (2014), and Fabric of Cosmos. I have seen on the surface, cosmology books as: Ulrich Ellwanger, From the Universe to the Elementary Particles: A First Introduction to Cosmology and the Fundamental Interactions Cosimo Bambi, Alexandre D. Dolgov, Introduction...
12. ### Artistic sense-ualisation of elementary origins of the Universe

I am searching sources, which would express purely (without any other expression on how the data was obtained, etc.) elementary origins of the universe. As we would have certain artistic visualisation on how our Mars rover would operate on landing on mars, are there sources which give data on...
13. ### I Was there any need or utility or aim, for Cantor's theory?

What theoretical misconceptions were cleared? Or can you give any source where I can know more on this? Thank you :smile:
14. ### I Was there any need or utility or aim, for Cantor's theory?

His theory of defining infinite set, and distinguishing sets as countable, uncountable, etc.
15. ### I Was there any need or utility or aim, for Cantor's theory?

Was there any need or utility or aim, for which Cantor created his theory? Did Cantor's theory clear any of the problems which existed before? (Though my user name is Cantor, I don't know lot about him or his theory :biggrin:) Reddit...
16. ### Other Utility of a general math book introducing subjects not in historical order?

I have Abstract Algebra Course, and my teacher is using the book, "Abstract Algebra" of David S. Dummit, and Richard M.Foote. This book, and other books which my teachers are using for the courses, seem to give definitions, theorems, and problems, in no historical order or are not mentioning the...
17. ### Practices, Laws, or Principles of living longer

I am starting to search data on what actions are to be made for living longer. I might have to know the working of human body, but it might take lot of time. Within the time I know the working of human body, and have custom actions for me to live longer, to eliminate me not do any of the random...
18. ### Calculus Which self-contained calculus book explains the math in order....

Thank you very much StoneTemplePython and Stephen Tashi; I am thinking on what you all have said. I will report back later again.
19. ### Calculus Which self-contained calculus book explains the math in order....

Sorry, for being late in replying here, and thank you very much for helping. I am studying MSc Mathematics, in India. I am in the first semester of the first year of my two year 4 semester MSc. Here in India, syllabus will be decided by the college; we will have to study only those topics in...
20. ### Calculus Which self-contained calculus book explains the math in order....

Which calculus book self contains experiences in order, and is stable to the max, for all the problems known in the subject? --------------------------------------------------------- I have got confused now. Math history seems to allow knowing all the data on how math formed, for any of a...