Calculus Simplified

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A01=Oscar E. Fernandez
A01=Oscar Fernandez
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Algebraic equation
Antiderivative
Asymptote
Author_Oscar E. Fernandez
Author_Oscar Fernandez
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Binary logarithm
Calculation
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Change of variables
Continuous function
Continuous function (set theory)
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Derivative
Diagram (category theory)
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Equation
Exponential function
Extreme value theorem
Fermat's theorem (stationary points)
Function composition
Fundamental theorem of calculus
Geometry
Implicit function
Inflection point
Integration by parts
Integration by substitution
Intermediate value theorem
Lambda calculus
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Leibniz's notation
Linear function
Linearization
Logarithm
Logistic function
Loss function
Mathematical optimization
Mathematics
Maxima and minima
Mean value theorem
Natural logarithm
Natural number
One-sided limit
Optimization problem
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Percentage
Periodic function
Polynomial
Power function
Power law
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Precalculus
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Quadratic equation
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Product details

  • ISBN 9780691175393
  • Weight: 635g
  • Dimensions: 203 x 254mm
  • Publication Date: 11 Jun 2019
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
  • Language: English
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An accessible, streamlined, and user-friendly approach to calculus

Calculus is a beautiful subject that most of us learn from professors, textbooks, or supplementary texts. Each of these resources has strengths but also weaknesses. In Calculus Simplified, Oscar Fernandez combines the strengths and omits the weaknesses, resulting in a “Goldilocks approach” to learning calculus: just the right level of detail, the right depth of insights, and the flexibility to customize your calculus adventure.

Fernandez begins by offering an intuitive introduction to the three key ideas in calculus—limits, derivatives, and integrals. The mathematical details of each of these pillars of calculus are then covered in subsequent chapters, which are organized into mini-lessons on topics found in a college-level calculus course. Each mini-lesson focuses first on developing the intuition behind calculus and then on conceptual and computational mastery. Nearly 200 solved examples and more than 300 exercises allow for ample opportunities to practice calculus. And additional resources—including video tutorials and interactive graphs—are available on the book’s website.

Calculus Simplified also gives you the option of personalizing your calculus journey. For example, you can learn all of calculus with zero knowledge of exponential, logarithmic, and trigonometric functions—these are discussed at the end of each mini-lesson. You can also opt for a more in-depth understanding of topics—chapter appendices provide additional insights and detail. Finally, an additional appendix explores more in-depth real-world applications of calculus.

Learning calculus should be an exciting voyage, not a daunting task. Calculus Simplified gives you the freedom to choose your calculus experience, and the right support to help you conquer the subject with confidence.

  • An accessible, intuitive introduction to first-semester calculus
  • Nearly 200 solved problems and more than 300 exercises (all with answers)
  • No prior knowledge of exponential, logarithmic, or trigonometric functions required
  • Additional online resources—video tutorials and supplementary exercises—provided
Oscar E. Fernandez is associate professor of mathematics at Wellesley College. He is the author of Everyday Calculus and The Calculus of Happiness (both Princeton).

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