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1650 BCE
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The Rhind papyrus, dated from around 1650 BCE, is the oldest known mathematics textbook, providing valuable insights into ancient mathematical practices.
Image source: Rhind Mathematical Papyrus
600 BC - 599 BC
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Greek mathematics began to emerge as a distinct discipline, with achievements in conic sections, trigonometry, and the beginnings of algebra.
Image source: Greek mathematics
200 - 299
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Diophantus and al-Khwarizmi made significant contributions to the development of algebra, laying the groundwork for future advancements in the field.
Image source: Diophantus
1600 - 1699
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Combinatorics, a branch of mathematics, was studied for much of recorded history before becoming a separate area in the seventeenth century.
1500 - 1599
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Girard Desargues introduced projective geometry, expanding upon Euclidean geometry and adding points at infinity, leading to new insights and applications in mathematics.
Image source: Projective geometry
1500 - 1599
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Algebra became a distinct area with François Viète's introduction of variables for representing unknown or unspecified numbers.
Image source: History of algebra
1600 - 1699
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René Descartes introduced Cartesian coordinates, revolutionizing the field of geometry and paving the way for modern algebraic methods.
Image source: Cartesian coordinate system
1600 - 1699
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The introduction of infinitesimal calculus by Newton and Leibniz marked a major breakthrough in mathematics, leading to revolutionary developments in various scientific disciplines.
1600 - 1699
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The introduction of calculus by Newton and Leibniz revolutionized mathematical analysis and provided powerful tools for solving a wide range of scientific problems.
1742
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The Goldbach Conjecture, stated in 1742 by Christian Goldbach, remains unproven despite extensive efforts by mathematicians.
Image source: Goldbach's conjecture
1800 - 1899
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Mathematicians discovered non-Euclidean geometries, challenging the traditional Euclidean framework and leading to new insights into the nature of space and geometry.
Image source: Non-Euclidean geometry
1800 - 1899
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Mathematical curriculum flourished in France and Germany in the 19th century, leading to the development of modern pedagogical methods in mathematics.
Image source: Mathematics education
1800 - 1899
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Nicolas-Remi Brück and Charles Henri Lagrange extended mathematical analysis into geopolitics, demonstrating the broad applicability of mathematical concepts in diverse fields.
1900 - 1999
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Mathematical logic emerged as a distinct field, challenging traditional approaches and leading to the development of new foundational concepts in mathematics.
1900 - 1999
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Mathematicians began to explore mathematical abstraction from reality, leading to the development of formalism and new philosophical perspectives on the nature of mathematical objects.
1900 - 1999
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Mathematicians led by Brouwer challenged the foundations of mathematics, promoting intuitionistic logic and questioning the law of excluded middle.
1900
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The famous list of 23 open problems, known as Hilbert's problems, was compiled by David Hilbert in 1900, with several of the problems being solved by 2022.
Image source: Hilbert's problems
1900 - 1999
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Mathematics has played a crucial role in chemistry and computing, with applications in modeling molecules and historical movements using formulas.
Image source: Computational chemistry
1910
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David Hilbert founded the modern philosophy of formalism, which emphasized rigorous proof and abstraction from the philosophical nature of mathematical objects.
1922
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Nikolai Kondratiev discerned the ~50-year-long Kondratiev cycle, explaining phases of economic growth or crisis, highlighting the intersection of mathematics and economics.
Image source: Kondratiev wave
1936
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The Fields Medal, established in 1936, is the most prestigious award in mathematics, recognizing outstanding achievements in the field.
Image source: Fields Medal
1940
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The number of papers and books included in the Mathematical Reviews database has surpassed 1.9 million, with over 75 thousand items added annually since 1940.
1994
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Andrew Wiles proved Fermat's Last Theorem, a conjecture stated by Pierre de Fermat in 1637, using advanced mathematical tools and theories.
Image source: Andrew Wiles
1997
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The controversial book 'Fashionable Nonsense' denounced the unfounded use of scientific terminology from mathematics and physics in the social sciences, sparking debates about the misuse of mathematical concepts.
Image source: Fashionable Nonsense
2000
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A new list of seven important problems, titled the 'Millennium Prize Problems', was published in 2000, presenting significant challenges in contemporary mathematics.
2015
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An international team completed and verified a formal proof of the Kepler conjecture in 2015, showcasing the importance of rigorous mathematical verification using technology.
Image source: Kepler conjecture
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