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@@ -12,6 +12,8 @@ Repository for mathematics learning notes, covering topics like trigonometry, pr
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-[Calculus](#calculus)
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-[Discrete Mathematics](#discrete-mathematics)
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-[Combinatorics](#combinatorics)
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-[Logic](#logic)
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-[Series and Sequences](#series-and-sequences)
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-[Fractals](#fractals)
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-[Trigonometry](#trigonometry)
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-[Translated Notebooks](#translated-notebooks)
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|[pascals-triangle.ipynb](discrete-mathematics/combinatorics/pascals-triangle.ipynb)| Pascal's triangle properties and applications |
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|[permutation-and-combination.ipynb](discrete-mathematics/combinatorics/permutation-and-combination.ipynb)| Permutation and combination concepts |
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#### Logic
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| Notebook | Description |
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|----------|-------------|
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|[if-p-then-q-explained.ipynb](discrete-mathematics/logic/if-p-then-q-explained.ipynb)| Explanation of conditional statements in logic |
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|[learnings-1st-april.ipynb](discrete-mathematics/logic/learnings-1st-april.ipynb)| Logic concepts learned on April 1st, 2025 |
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#### Series and Sequences
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| Notebook | Description |
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|----------|-------------|
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|[arithmetic-sum-generalisation.ipynb](discrete-mathematics/series-and-sequences/arithmetic-sum-generalisation.ipynb)| Generalizations of arithmetic sum formulas |
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|[arithmetic-sum.ipynb](discrete-mathematics/series-and-sequences/arithmetic-sum.ipynb)| Basic arithmetic sum concepts and formulas |
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|[cubes-as-sum-of-consecutive-odd-numbers.ipynb](discrete-mathematics/series-and-sequences/cubes-as-sum-of-consecutive-odd-numbers.ipynb)| Representing cubes as sums of consecutive odd numbers |
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|[geometric-sum.ipynb](discrete-mathematics/series-and-sequences/geometric-sum.ipynb)| Geometric series concepts and formulas |
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|[sharing-and-splitting.ipynb](discrete-mathematics/series-and-sequences/sharing-and-splitting.ipynb)| Problems involving sharing and splitting sequences |
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|[sum-of-consecutive-multiples.ipynb](discrete-mathematics/series-and-sequences/sum-of-consecutive-multiples.ipynb)| Sums of consecutive multiples |
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|[sum-of-cubes-with-arithmetic-sum-old.ipynb](discrete-mathematics/series-and-sequences/sum-of-cubes-with-arithmetic-sum-old.ipynb)| Old approach to sum of cubes using arithmetic sums |
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|[sum-of-cubes-with-arithmetic-sum.ipynb](discrete-mathematics/series-and-sequences/sum-of-cubes-with-arithmetic-sum.ipynb)| Sum of cubes using arithmetic sum formulas |
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|[sum-of-cubes-with-sum-of-squares.ipynb](discrete-mathematics/series-and-sequences/sum-of-cubes-with-sum-of-squares.ipynb)| Relationship between sum of cubes and sum of squares |
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|[sum-of-cubes-with-symmetric-sums.ipynb](discrete-mathematics/series-and-sequences/sum-of-cubes-with-symmetric-sums.ipynb)| Sum of cubes using symmetric sum approach |
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|[sum-of-even-numbers.ipynb](discrete-mathematics/series-and-sequences/sum-of-even-numbers.ipynb)| Formulas for sum of even numbers |
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|[sum-of-odd-numbers-is-square.ipynb](discrete-mathematics/series-and-sequences/sum-of-odd-numbers-is-square.ipynb)| Proof that sum of odd numbers equals perfect squares |
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|[sum-of-positive-integers-to-odd-or-even-integer.ipynb](discrete-mathematics/series-and-sequences/sum-of-positive-integers-to-odd-or-even-integer.ipynb)| Sum formulas for positive integers up to odd or even numbers |
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|[sum-of-reciprocal-consecutive-multiples.ipynb](discrete-mathematics/series-and-sequences/sum-of-reciprocal-consecutive-multiples.ipynb)| Sums of reciprocals of consecutive multiples |
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|[symmetric-sum-of-even-numbers.ipynb](discrete-mathematics/series-and-sequences/symmetric-sum-of-even-numbers.ipynb)| Symmetric approach to summing even numbers |
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|[symmetric-sum-of-odd-numbers.ipynb](discrete-mathematics/series-and-sequences/symmetric-sum-of-odd-numbers.ipynb)| Symmetric approach to summing odd numbers |
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