The Cartoon Guide to Calculus: How Larry Gonick Makes Calculus Simple and Enjoyable with Comics
The Cartoon Guide to Calculus: A Fun and Easy Way to Learn Math
Calculus is one of the most powerful and useful branches of mathematics, but it can also be intimidating and confusing for many students. If you want to learn calculus without getting bogged down by complicated formulas and symbols, you might want to check out The Cartoon Guide to Calculus, a book that uses humor and illustrations to explain the concepts and applications of calculus in a simple and engaging way.
What is calculus and why is it important?
Calculus is the study of change. It helps us understand how things vary over time, space, or other dimensions. For example, calculus can help us calculate the speed of a car, the area of a circle, the volume of a balloon, the growth rate of a population, or the slope of a curve.
Calculus is important because it has many applications in science, engineering, economics, medicine, and other fields. It can help us model natural phenomena, optimize systems, analyze data, and solve problems. Calculus also reveals some beautiful patterns and connections in mathematics that can enrich our appreciation of the subject.
What is The Cartoon Guide to Calculus and who is the author?
The Cartoon Guide to Calculus is a book that teaches calculus using cartoons. It covers the basic ideas behind the field, such as functions, limits, derivatives, integrals, and related topics. It also shows how calculus can be used to solve real-world problems in physics, biology, economics, and more.
The author of The Cartoon Guide to Calculus is Larry Gonick, a cartoonist and educator who has written several other books on science and history using comics. He has a degree in mathematics from Harvard University and has taught at various colleges. He has a knack for making complex topics accessible and fun for readers of all ages and backgrounds.
What are the main features and benefits of The Cartoon Guide to Calculus?
The Cartoon Guide to Calculus has several features and benefits that make it a great resource for learning calculus. Some of them are:
It uses clear and concise language that avoids jargon and technicalities.
It uses colorful and humorous cartoons that illustrate the concepts and examples in a vivid and memorable way.
It uses real-life scenarios and stories that show the relevance and usefulness of calculus in various situations.
It uses simple and intuitive explanations that build on the previous knowledge and intuition of the reader.
It uses exercises and quizzes that test the understanding and application of the concepts.
It uses references and suggestions that point the reader to more resources and topics for further exploration.
The Cartoon Guide to Calculus is a book that can help you learn calculus in a fun and easy way. It can also help you refresh your memory, review your skills, or prepare for exams. Whether you are a student, a teacher, a professional, or a curious learner, you will find something valuable and enjoyable in this book.
Initial conditions: The basics of calculus
Speed, velocity, change
The first chapter of The Cartoon Guide to Calculus introduces the concept of change and how to measure it. It explains the difference between speed and velocity, and how to calculate them using distance and time. It also introduces the idea of average and instantaneous rates of change, which are the foundations of calculus.
Meet the functions
The second chapter of The Cartoon Guide to Calculus introduces the concept of functions and how to represent them. It explains the difference between independent and dependent variables, and how to use graphs, tables, formulas, and words to describe functions. It also introduces some common types of functions, such as linear, quadratic, exponential, logarithmic, trigonometric, and inverse functions.
The third chapter of The Cartoon Guide to Calculus introduces the concept of limits and how to find them. It explains what limits are, why they are important, and how to use them to understand the behavior of functions near certain points. It also introduces some rules and techniques for finding limits, such as direct substitution, factoring, rationalizing, squeezing, and L'Hopital's rule.
The derivative: How to measure change
Chain, chain, chain
The fourth chapter of The Cartoon Guide to Calculus introduces the concept of derivatives and how to find them. It explains what derivatives are, how they measure the rate of change of a function at a point, and how they relate to slopes of tangent lines. It also introduces some rules and techniques for finding derivatives, such as power rule, product rule, quotient rule, chain rule, implicit differentiation, and logarithmic differentiation.
Using derivatives, part 1: Related rates
The fifth chapter of The Cartoon Guide to Calculus shows how to use derivatives to solve problems involving related rates. It explains what related rates are, how they describe the relationship between two or more changing quantities, and how to use them to find unknown rates or values. It also shows some examples of related rates problems in geometry, physics, biology, and economics.
Using derivatives, part 2: Optimization
The sixth chapter of The Cartoon Guide to Calculus shows how to use derivatives to solve problems involving optimization. It explains what optimization is, how it involves finding the maximum or minimum value of a functi