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    <description>Recent updates to Open Free Books pages and live chapters.</description>
    <lastBuildDate>Thu, 21 May 2026 07:32:39 GMT</lastBuildDate>
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      <title>Linear programming</title>
      <link>https://openfreebooks.org/math/linear-programming/</link>
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      <pubDate>Thu, 21 May 2026 07:32:39 GMT</pubDate>
      <description>Graph linear inequalities, identify feasible regions, and optimise objective functions in two variables.</description>
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      <title>Factor &amp; remainder theorems</title>
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      <pubDate>Thu, 21 May 2026 07:32:39 GMT</pubDate>
      <description>Use the factor and remainder theorems to factorise higher-degree polynomials and solve related equations.</description>
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      <title>Exponential &amp; logarithmic functions</title>
      <link>https://openfreebooks.org/math/exponential-logarithmic/</link>
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      <pubDate>Thu, 21 May 2026 07:32:39 GMT</pubDate>
      <description>Use exponential and logarithmic models, apply log laws, and solve growth and decay equations.</description>
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      <title>Complex numbers</title>
      <link>https://openfreebooks.org/math/complex-numbers/</link>
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      <pubDate>Thu, 21 May 2026 07:32:39 GMT</pubDate>
      <description>Represent complex numbers in Cartesian form and perform operations including conjugates and division.</description>
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      <title>Functions &amp; graphs</title>
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      <pubDate>Thu, 21 May 2026 07:32:39 GMT</pubDate>
      <description>Model input-output rules, work with domain and range, and sketch key function graphs and transformations.</description>
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      <title>Sequences &amp; series</title>
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      <pubDate>Thu, 21 May 2026 07:32:39 GMT</pubDate>
      <description>Work with arithmetic and geometric sequences, sigma notation, and finite summation formulas.</description>
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      <title>Variations</title>
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      <pubDate>Thu, 21 May 2026 07:32:39 GMT</pubDate>
      <description>Model direct, inverse, joint, and partial variation and solve combined variation problems.</description>
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      <title>Laws of indices</title>
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      <pubDate>Thu, 21 May 2026 06:54:57 GMT</pubDate>
      <description>Apply index laws to simplify expressions with integer and rational exponents.</description>
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      <title>Linear inequalities in one unknown</title>
      <link>https://openfreebooks.org/math/linear-inequalities-one-unknown/</link>
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      <pubDate>Thu, 21 May 2026 06:54:57 GMT</pubDate>
      <description>Solve, represent, and apply linear inequalities in one unknown using number lines and interval notation.</description>
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      <title>Counting and numbers</title>
      <link>https://openfreebooks.org/math/counting-and-numbers/</link>
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      <pubDate>Thu, 21 May 2026 05:05:38 GMT</pubDate>
      <description>Count objects, spot patterns, add, multiply, and divide; then meet place value and big numbers from hundreds to billions.</description>
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      <title>Linear equations in two unknowns</title>
      <link>https://openfreebooks.org/math/linear-equations-two-unknowns/</link>
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      <pubDate>Thu, 21 May 2026 05:05:38 GMT</pubDate>
      <description>Solve pairs of linear equations by substitution, elimination, and graphs; classify unique, parallel, and coincident cases.</description>
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      <title>Written calculation</title>
      <link>https://openfreebooks.org/math/written-calculation/</link>
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      <pubDate>Thu, 21 May 2026 05:05:38 GMT</pubDate>
      <description>Add, subtract, multiply, and divide whole numbers using vertical written form: align columns, regroup, and read the result.</description>
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      <title>English</title>
      <link>https://openfreebooks.org/english/</link>
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      <pubDate>Thu, 21 May 2026 02:10:55 GMT</pubDate>
      <description>Browse English chapters in the curriculum catalog.</description>
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      <title>Reading comprehension foundations</title>
      <link>https://openfreebooks.org/english/reading-comprehension-foundations/</link>
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      <pubDate>Thu, 21 May 2026 02:10:55 GMT</pubDate>
      <description>Find the main idea, key details, and evidence in short texts.</description>
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    <item>
      <title>FAQ</title>
      <link>https://openfreebooks.org/faq/</link>
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      <pubDate>Thu, 21 May 2026 02:10:55 GMT</pubDate>
      <description>FAQ</description>
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      <title>Physics</title>
      <link>https://openfreebooks.org/physics/</link>
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      <pubDate>Thu, 21 May 2026 02:10:55 GMT</pubDate>
      <description>Browse physics chapters in the curriculum catalog.</description>
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      <title>Force and Newton&apos;s laws</title>
      <link>https://openfreebooks.org/physics/force-newtons-laws/</link>
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      <pubDate>Thu, 21 May 2026 02:10:55 GMT</pubDate>
      <description>Use free-body diagrams, F = ma, and motion graphs to predict how objects move.</description>
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      <title>Basic math notation</title>
      <link>https://openfreebooks.org/math/basic-math-notation/</link>
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      <pubDate>Thu, 21 May 2026 01:07:39 GMT</pubDate>
      <description>Learn the names and meanings of plus, minus, times, divide, equals, brackets, and other signs used in number sentences.</description>
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    <item>
      <title>Zero and one</title>
      <link>https://openfreebooks.org/math/zero-and-one/</link>
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      <pubDate>Thu, 21 May 2026 01:07:39 GMT</pubDate>
      <description>0 is nothing; 1 is one. Learn to tell them apart — the same skill as telling false from true — before counting larger amounts.</description>
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    <item>
      <title>Algebraic fractions &amp; formulas</title>
      <link>https://openfreebooks.org/math/algebraic-fractions-formulas/</link>
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      <pubDate>Wed, 20 May 2026 20:17:25 GMT</pubDate>
      <description>Simplify and combine algebraic fractions; rearrange formulas in science contexts.</description>
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    <item>
      <title>Directed numbers, rates &amp; ratios</title>
      <link>https://openfreebooks.org/math/directed-numbers-rates/</link>
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      <pubDate>Wed, 20 May 2026 20:17:25 GMT</pubDate>
      <description>Operate with negative numbers and solve ratio, rate, and proportion problems in context.</description>
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    <item>
      <title>Polynomials: expansion &amp; factorisation</title>
      <link>https://openfreebooks.org/math/polynomials-expansion-factorisation/</link>
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      <pubDate>Wed, 20 May 2026 20:17:25 GMT</pubDate>
      <description>Expand products, collect like terms, and factorise expressions using common factors and identities.</description>
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    <item>
      <title>Properties of operations</title>
      <link>https://openfreebooks.org/math/properties-of-operations/</link>
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      <pubDate>Wed, 20 May 2026 20:17:25 GMT</pubDate>
      <description>See why order, grouping, and distribution can change how you write a sum or product without changing the result — with interactive area and dot models.</description>
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    <item>
      <title>Quadratic equations</title>
      <link>https://openfreebooks.org/math/quadratic-equations/</link>
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      <pubDate>Wed, 20 May 2026 20:17:25 GMT</pubDate>
      <description>The discriminant, nature of roots, and the graph of y = ax² + bx + c.</description>
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    <item>
      <title>Search</title>
      <link>https://openfreebooks.org/search/</link>
      <guid isPermaLink="true">https://openfreebooks.org/search/</guid>
      <pubDate>Tue, 19 May 2026 19:29:49 GMT</pubDate>
      <description>Search</description>
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    <item>
      <title>Contribute</title>
      <link>https://openfreebooks.org/contributing/</link>
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      <pubDate>Tue, 19 May 2026 12:34:25 GMT</pubDate>
      <description>Contribute</description>
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      <title>Mathematics</title>
      <link>https://openfreebooks.org/math/</link>
      <guid isPermaLink="true">https://openfreebooks.org/math/</guid>
      <pubDate>Tue, 19 May 2026 10:55:50 GMT</pubDate>
      <description>Browse mathematics chapters in the curriculum catalog.</description>
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    <item>
      <title>Catalog</title>
      <link>https://openfreebooks.org/catalog/</link>
      <guid isPermaLink="true">https://openfreebooks.org/catalog/</guid>
      <pubDate>Tue, 19 May 2026 10:40:53 GMT</pubDate>
      <description>Catalog</description>
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      <title>Manifesto</title>
      <link>https://openfreebooks.org/about/</link>
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      <pubDate>Tue, 19 May 2026 06:35:42 GMT</pubDate>
      <description>Manifesto</description>
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      <title>Credits</title>
      <link>https://openfreebooks.org/credits/</link>
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      <pubDate>Tue, 19 May 2026 05:33:20 GMT</pubDate>
      <description>Credits</description>
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      <title>Open Free Books</title>
      <link>https://openfreebooks.org/</link>
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      <pubDate>Tue, 19 May 2026 04:06:12 GMT</pubDate>
      <description>Free, open-source textbooks for every learner — elementary through university. Read the full book online at no cost, or contribute on GitHub.</description>
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