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Let’s start with the question, how does one become an intellectual? Well, it often involves a lot of dedication to studying and research.

From Erdos to Kiev - Problems of Olympiad Caliber

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The Contest Problem Book IX - American Mathematics Competitions (AMC 12) 2001 - 2007

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Calculus & Precalculus, Metodología Problem Solving

 

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ΒΙΒΛΙΟ: The Formal Semantics of Programming Languages (pdf)

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ΒΙΒΛΙΟ: Elementary Calculus: An Infinitesimal Approach (pdf)

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Junior Balkan Mathematical Olympiad Compendium (2003 - 2024)

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ΒΙΒΛΙΟ: An Introduction to Gödel’s Theorems (pdf)

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ΒΙΒΛΙΟ: Μια εισαγωγή στην Αλγεβρική Θεωρία Κωδίκων (pdf)

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Θεματολογία του βιβλίου: 

Η Θεωρία Κωδίκων αποτελεί έναν σχετικά πρόσφατο κλάδο των Εφαρμόσιμων Μαθηματικών με ισχυρό όμως Θεωρητικό υπόβαθρο. Το πρόβλημα που έπρεπε να αντιμετωπισθεί ήταν η εξασφάλιση αξιόπιστης επικοινωνίας. 

COMPENDIUM KANGAROO | Math Kangaroo Competition 2003 - 2023

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ΒΙΒΛΙΟ: Problem Book In High School Mathematics With Solution

The Balkan Mathematical Olympiad Compendium (1984 - 2024)

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ΒΙΒΛΙΟ: Introduction to Linear Algebra, Sixth Edition (2023)

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ΒΙΒΛΙΟ: Mathematical Logic (pdf)

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ΒΙΒΛΙΟ: The Irish Mathematical Olympiads Compendium (1988 – 2024)

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ΒΙΒΛΙΟ: Complex Numbers from A to ... Z (pdf)

Solving algebraic equations has been historically one of the favorite topics of mathematicians. While linear equations are always solvable in real numbers, not all quadratic equations have this property. The simplest such equation is $x^2 + 1 = 0$. 

 

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Until the 18th century, mathematicians avoided quadratic equations that were not solvable over R. Leonhard Euler broke the ice introducing the “number”  $\sqrt{-1}$  in his famous book Elements of Algebra as “ ... neither nothing, nor greater than nothing, nor less than nothing ... ” and observed “ ...

ΒΙΒΛΙΟ: TEORÍA DE OLIMPIADAS MATEMÁTICAS (pdf)

ΒΙΒΛΙΟ: Euler, The Master of Us All

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ΒΙΒΛΙΟ: Algebraic Topology (pdf)

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ΒΙΒΛΙΟ: Graph Theory and Additive Combinatorics (pdf)

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