History of mathematics Definition and 16 Threads

I will have to teach a first course in differential equations. A good motivator might be to promulgate modelling with differential equations but I have seen some teachers have made polemic against modelling. Are there any really good resources on modelling with differential equations? I want...

I will have to teach a first course in differential equations. What should I cover in this module? For example, in most books they have Laplace Transforms which is fine but I would not use LT to solve differential equations. I want to write a course that it motivates students and has an impact...

TL;DR Summary: education, history I need to devise a module for next academic year which is an introduction to pure mathematics. They need to use this module as a stepping stone module such as number theory, group theory, combinatorics, real analysis. What should I cover to make this an...

I will basically focus on 18th and 19th century, I got to know from the biographies of Max Planck and few other that there were no organized syllabus in Universities for studying. Students had to take classes that they could understand and it was less like a lecture and more like a private...

Since this is on the history of philosophy linked to set theory, rather than set theory itself, I presume I can't put it into the Set Theory rubrik. First, for those who are unfamiliar with the Reflection Principles of Set Theory (or more properly model theory),there are several versions, but...

This thread is a shootoff from this post in the thread Summary of Frauchiger-Renner. The topics are related, but this thread offers a new perspective that diverges from the main subject of that thread. In QM foundations, the sheer amount of interpretations, disagreement among experts about what...

I have received (unasked) a digital edition of "Laws of Form" (1969) by G. Spencer-Brown; I have glanced at it, and also at the Wikipedia article https://en.wikipedia.org/wiki/Laws_of_Form. OK, another logical system; logical journals (e.g. by ASL) are full of them, and I am not sure whether...

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...

Does anyone know of any resources on questions on primitive roots and order of a modulo n? They need to be suitable for elementary number theory course. (These could be interesting results and challenging ones).

I am teaching elementary number theory to first year undergraduate students. How do introduce the order of an integer modulo n and primitive roots? How do I make this a motivating topic and are there any applications of this area? I am looking at something which will have an impact.

There are certain explanations on how integers might have evolved, like for example "the wings of a bird to symbolize the number two, clover--leaves three, the legs of an animal four, the fingers on his own hand five."1 Seeing all these, and making experience short--abstract, can be said to have...

The history of mathematics...help with resources Hey guys I need help finding good resources to help me understand basic to advance math from a developmental point of view, the applied necessities of the inventors of math operations and concepts. For example the addition operation was...

Hey I am looking for a book talking about history of mathematics Steven Krantz has one here Amazon Amazon.com: Customer Reviews: An Episodic History of Mathematics: Mathematical Culture through Problem Solving (Maa Textbook) (Mathematical Association of America Textbooks) who know this book...

Hi all, Can anyone recommend a good book on the history of mathematics in very recent times (i.e. since the 20th century, specifically including the mathematical beginnings of computer science, game theory, chaos theory, complex systems, recent developments in stochastics etc.etc.)? Most...

I was wanting to learn about the development of mathematics and the mathematicians who helped with it. I was wondering if anyone knew of any book that was particularly well written and included a lot of information. Also, if it could go into detail about the mathematicians responsible for the...

- http://aleph0.clarku.edu/~djoyce/mathhist/ Pick a region - http://aleph0.clarku.edu/~djoyce/mathhist/earth.html Maintained by David E. Joyce Department of Mathematics and Computer Science Clark University I picked up a thick paperback book on the history of mathematics...