Calculus textbook for A Level (PDF, 250 pages)
<p>Full calculus text book in PDF format. Sample chapters can be <a href="https://leanpub.com/calculus-book/" target="_blank" rel="nofollow">downloaded here</a>. Serves as an introduction to calculus, with clear explanations and plenty of illustrations. Covers functions, limits, differentiation, and integration, including theroems, examples, proofs, and advanced techniques. Suitable for A Level through to introductory undergraduate level.</p>
<p>This is exactly the same book that I am selling on Amazon and other places. I am offering it here at a reduced price for teachers.</p>
<p>The PDF file is 250 pages and can be read on screen, or printed out in full or in parts. It covers:</p>
<ul>
<li>Functions and limits, including domains and codomains, concepts of smoothness and continuity, tangents and slope, and squeeze theorem.</li>
<li>Differentiation, including rates of change, differentiation from first principles, standard derivatives, stationary points, and L’Hopital’s rule.</li>
<li>Integration, including indefinite and definite integrals, standard integrals, Riemann sums, the fundamental theorem of calculus, and improper integrals.</li>
<li>Differentiation techniques, including the product rule, chain rule, quotient rule, reciprocal rule, inverse function rule, implicit differentiation and logarithmic differentiation.</li>
<li>Integration techniques, including integration by substitution, integration by parts and the LIATE rule, trig identities, trig substitution, and partial fractions.</li>
</ul>
<p>The book takes the approach of providing intuitive explanations and examples followed by formal proofs that build on an intuitive understanding.</p>