Calculus: A New Approach For Schools That Starts With Simple Algebra
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A01=R Michael Range
Acceleration
Algebraic Numbers
Antiderivatives
Approximation
Archimedean Property
Author_R Michael Range
Average Rate of Change
Average Velocity
Calculus
Category=PBF
Category=PBKA
Chain Rule
Completeness
Complex Numbers
Compound Interest
Continuity
Coordinate System
Countable and Uncountable
Derivatives
Differentiable Functions
Double Points
Double Zeroes
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exponential Functions
Functions
Graphs
Growth and Decay Models
Initial Value Problems
Instanteneous Velocity
Integers
Inverse Function Rule
Inverse Functions
Limits
Local Linear Approximation
Logarithm
Mean Value Inequality
Monotone Limit Theorem
Motion of Spring
Natural Exponential Function
Natural Logarithm
Natural Numbers
Parabola
Pendulum
Periodic Functions
Polynomials
Product Rule
Quadratic Equation
Quotient Rule
Rational Functions
Rational Numbers
Real Numbers
Tangents
Trigonometric Functions
Product details
- ISBN 9789819805440
- Publication Date: 25 Jul 2025
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
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Unlock the mysteries of Calculus with a fresh approach rooted in simplicity and historical insight. This book reintroduces a nearly forgotten idea from René Descartes (1596-1650), showing how the fundamental concepts of Calculus can be understood using just basic algebra. Starting with rational functions — the core of early Calculus — this method allows the reader to grasp the rules for derivatives without the intimidating concepts of limits or real numbers, making the subject more accessible than ever.But the journey doesn't stop there. While attempting to apply this algebraic approach to exponential functions, the reader will encounter the limitations of simple methods, revealing the necessity for more advanced mathematical tools. This natural progression leads to the discovery of continuity, the approximation process, and ultimately, the introduction of real numbers and limits. These deeper concepts pave the way for understanding differentiable functions, seamlessly bridging the gap between elementary algebra and the profound ideas that underpin Calculus.Whether you're a student, educator, or math enthusiast, this book offers a unique pathway to mastering Calculus. By connecting historical context with modern mathematical practice, it provides a richer, more motivating learning experience. For those looking to dive even deeper, the author's 2015 book, What is Calculus? From Simple Algebra to Deep Analysis, is the perfect next step.
