Cambridge IGCSE and O Level Additional Mathematics Coursebook 3rd Ed
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Description
Title: Cambridge IGCSE and O Level Additional Mathematics Coursebook with Digital Version (2 Years' Access) 3rd Edition
ISBN: 9781009341837
2. Synopsis
The Cambridge IGCSE and O Level Additional Mathematics Coursebook 3rd Edition provides full, comprehensive guidance for the updated Cambridge IGCSE and O Level Additional Mathematics syllabuses (0606/4037) for examination from 2025. Optimized for advanced learners under the International Upper Secondary Curriculum, this textbook stretches mathematical capability through deep theoretical frameworks, challenging mathematical projects, and non-calculator reasoning exercises. It builds a robust analytical foundation, facilitating a smooth transition directly into Cambridge International AS & A Level Mathematics.
3. Table of Contents / Chapters
Chapter 1: Functions (Mappings, Modulus, Inverse)
Chapter 2: Quadratic functions (Maximum/Minimum Values, Inequalities, Roots)
Chapter 3: Factors and polynomials (Cubic Equations, Remainder Theorem)
Chapter 4: Equations, inequalities and graphs (Modulus Equations)
Chapter 5: Logarithms and exponential functions (Laws, Equations, Graphs)
Chapter 6: Straight-line graphs (Linear Form Conversion, Length, Midpoint)
Chapter 7: Coordinate geometry of the circle (Equations, Intersections)
Chapter 8: Circular measure (Arc Length, Sector Area)
Chapter 9: Trigonometry (Ratios, Graphs, Equations, Identities)
Chapter 10: Permutations and combinations (Factorial Notation, Arrangements)
Chapter 11: Series (Binomial Theorem, Arithmetic & Geometric Progressions)
Chapter 12: Calculus – Differentiation 1 (Chain/Product/Quotient Rules, Rates of Change)
Chapter 13: Vectors (Magnitude, Scalar Products, Problem Solving)
Chapter 14: Calculus – Differentiation 2 (Exponentials, Logs, Trig Derivatives)
Chapter 15: Calculus – Integration (Definite/Indefinite, Area Under Curve)
Chapter 16: Kinematics (Displacement, Velocity, Acceleration via Calculus)
4. Learning Outcomes
✔️ Advanced Algebraic Fluency: Solve complex mathematical functions, manipulate factorials, and successfully analyze permutations, combinations, and polynomial factor theorems.
✔️ Calculus Foundations: Master the core rules of differentiation and integration, applying them directly to real-world geometric tangent profiles and kinematics acceleration models.
✔️ Logarithmic Competence: Intuitively apply the laws of logarithms to solve complex non-linear mathematical modeling data variables.
✔️ Mathematical Reasoning: Develop high-level problem-solving workflows, abstract reasoning, and structured mathematical communication tools required for university-track academic subjects.
5. About the Author/Writer
Authored by the highly celebrated mathematics educator and textbook specialist Sue Pemberton. Her practice-based pedagogical approach combines clear conceptual breakdowns with rigorous, progressive exercise banks, making abstract algebraic frameworks accessible to upper-secondary students worldwide.
6. About the Publisher
Publisher: Cambridge University Press
History & Profile: Founded in 1534 under a royal charter granted by King Henry VIII, Cambridge University Press is the world's oldest publishing house. It is globally famous for setting rigorous academic standards and providing world-class educational pathways like IGCSE, O Levels, and A Levels.
Global Location: University Printing House, Shaftesbury Road, Cambridge, United Kingdom.