MATHEMATICS

ΒΙΒΛΙΟ: Θεμελιώδεις έννοιες των Μαθηματικών (pdf)

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Common proof techniques

For those learning proofs for the first time:

ΒΙΒΛΙΟ: A Source Book in Mathematics, 1200-1800 (pdf)

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Σαν σήμερα γεννήθηκε ο Γάλλος μαθηματικός Εβαρίστ Γκαλουά (1811 - 1832)

Ο Γάλλος μαθηματικός Εβαρίστ Γκαλουά (1811 - 1832) είχε μια σύντομη και τραγική ζωή, ωστόσο εφηύρε δύο εντελώς νέους τομείς των μαθηματικών: Τηθεωρία ομάδων και τη θεωρία Γκαλουά.

Ενώ ήταν ακόμη στην εφηβεία του, ο Γκαλουά απέδειξε ότι δεν υπάρχει γενική λύση για πολυωνυμικές εξισώσεις πέντε ή μεγαλύτερου βαθμού - ταυτόχρονα με τον Νιλς Άμπελ.

Αναζήτηση νοήματος

Υπό ποιες συνθήκες η παρακάτω εξίσωση έχει νόημα;

@Cliff Pickover

50 Mathematical Constants Exlained

Applications of Mathematics: Finance and Banking

In financial mathematics, traders can buy or sell stocks in a company commodities like oil and gold or derivatives which are “virtual” goods whose prices are derived from the change of other things. For example, you can buy options which could allow you to buy or sell a stock at a particular price at some point in the future – if you still want to at that time.

Financial analysts have many different mathematical tools to help them make better decisions for example statistical models to analyse historic economic data or probability and Stochastic calculus to predict the behaviour of financial markets. Particularly famous is the Black-Scholes equation a partial differential eqaution used to find the correct value of derivatives.

• www.bbc.com/news/magazine-17866646
• plus.maths.org/content/what-financial-mathematics

Applications of Mathematics: Construction

Construction requires teams of people to work together. From planning to construction to opening, people with many different skill sets ensure the success of the structure. One of the many professionals involved in construction is structural engineers.

Structural engineers turn architectural designs into reality. They use several areas of math to assess how structures react to forces in their environments. For example, structural engineers consider how the vibrations created changes in the structure.

Ιδιοφυΐα 2 ετών

Πράξεις με παρενθέσεις, προτεραιότητα πράξεων.

 

Ελληνικό αλφάβητο: Όσοι σπουδάζουν μαθηματικά και φυσική ανά τον κόσμο είναι εξοικειωμένοι με το αλφάβητο μας

Applications of Mathematics: Building Bridges

Suspension bridges are elegant bridges that span distances between $300$ and $2300$ meters. Their flexibility and low deadweight are great for engineering. 

These same qualities are also liabilities. Suspension bridges are actually quite flexible to prevent buckling. This flexibility causes also means these bridges are susceptible to resonance. Resonance is a phonomenon modelled using second-order differential equations.

• plus.maths.org/content/millennial-wobbles
• wikipedia.org/wiki/Tacoma_Narrows_Bridge_(1940)

MSC2020-Mathematics Subject Classification System

The current 2020 Mathematics Subject Classification (MSC2020) is a revision of the MSC2010 that has been used by MR and Zbl since 2010. MSC2020 is the result of a collaborative effort by the editors of MR and Zbl to update their shared classification. These editors acknowledge the many helpful suggestions from the mathematical community during the revision process over more than two years.

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Principles of Mathematics for Voting Systems

Introduction 

These short lecture notes intend to provide some notions on the problem of seat apportionment in voting systems, or electoral systems. I synthesized some of the main concepts of a theory which is definitely wider and more complex. 

Some related issues such as turnout, apportionment paradoxes and electoral systems which are not based on proportional representation have been left out of the picture for the sake of brevity. 

A Pentagon Cubed and other Polygonal Complex Graphs

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Ellipsoid

Ellipsoid

AI Math GPT Solver

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ΒΙΒΛΙΑ: Mathematical Gems - Vol. I,II and III

Mathematical Gems - Vol. I

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