Precalculus for Everybody
ISBN: 978-61-248-5162-9
Format: 15.2x22.9cm
Liczba stron: 342
Oprawa: Miękka
Wydanie: 2023 r.
Język: angielski
Dostępność: dostępny
<p class="ql-align-center"><strong>The Most Effective Introduction To Calculus</strong></p><p>A self-teaching guide for anyone who wants to learn the concepts that precede Calculus in a clear and concise way. It employs a friendly writing tone, many solved and proposed exercises, stories and even jokes; standing apart from the classic academic book.</p><p><br></p><p>This book covers all the essential topics of Precalculus, including:</p><ul><li>Arithmetic</li><li>Algebra</li><li>Polynomials</li><li>Analytic Geometry</li><li>Functions</li></ul><p><br></p><p>This title is the result of several decades of the author's experience teaching Calculus at university education level. </p><p><br></p><p class="ql-align-center"><strong>Most important features</strong></p><p class="ql-align-center"><br></p><ul><li>Suitable for students or applicants for Science and Engineering careers.</li><li>Suitable for self-learners and Science and Technology enthusiasts.</li><li>Good balance of theory and practice.</li><li>Theory is assisted by many examples and solved exercises.</li><li>More than 750 proposed exercises with their respective answers.</li><li>Passages of mathematical history and references to contemporary cases.</li><li>Modern mathematical jokes.</li><li>Assisted by QR codes that link to complementary information on our social media.</li></ul><p><br></p><p class="ql-align-center"><strong>Book content</strong></p><p><strong>Chapter 1. Preliminaries:</strong></p><ol><li>An Overview of Logic and Set Theory</li><li>The Real Number System</li><li> Radicals and Rational Exponents</li><li>Some Topics of Algebra</li><li>Polynomial Equations</li><li>Order Axioms and Inequations</li><li>Absolute Value</li></ol><p><strong>Chapter<span></span>2. The Cartesian Plane and The Line:</strong></p><ol><li>The Cartesian Plane</li><li>Equation Graphs. Symmetry and Translations</li><li>Lines and Linear Equations</li></ol><p><strong>Chapter 3. The Conics:</strong></p><ol><li><span></span> Introduction</li><li>The Parabola</li><li>The Ellipse</li><li>The Hyperbola</li><li>General 2nd Degree Equation. Rotations</li></ol><p><strong>Chapter 4. Real Functions:</strong></p><ol><li><span></span>Real Functions and their Graphs</li><li>Trigonometric Functions</li><li>New Functions from Old Functions</li><li>Inverse Functions </li><li>Inverse Trigonometric Functions</li><li>Exponential Functions</li><li>Logarithmic Functions</li><li>Function Applications</li></ol>