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The Calculus Direct by John Weiss (2010) [pdf]

The Calculus Direct: An Intuitively Obvious Approach to a Basic Knowledge of the Calculus for the Casual Observer by John Weiss

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About this book :-
The Calculus Direct: An Intuitively Obvious Approach to a Basic Knowledge of the Calculus for the Casual Observer written by John Weiss. In this book, John Weiss takes you from number lines to derivatives and integrals in under one hundred pages - wow! There is no table of contents and the chapters seem to just merge one into the other.
He starts off covering addition, subtraction, multiplication, and division. He then goes into factorials, fractions, and exponents before getting into some algebraic concepts such as polynomials and composite functions. We are then introduced to Riemann and binomial sums and then a brief discussion on rate equations. All of this prepares you for your introduction to derivatives, where the power rule, law of superposition, higher orders derivatives, and the derivative of product and quotient functions is discussed. Finally, you delve into integration for an entire eleven pages. There are a few solved problems at the end of each section as well. He concludes with some practical applications.
This book takes no prior knowledge of mathematics for granted as it takes the student slowly and surely from addition all the way to a basic understanding of the calculus in the least painful and most efficient path possible. The calculus is not a hard subject, and this book proves this through an easy to read, obvious approach spanning only 100 pages. This book is written with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.

Book Detail :-
Title: The Calculus Direct: An Intuitively Obvious Approach to a Basic Knowledge of the Calculus for the Casual Observer
Edition:
Author(s): John Weiss
Publisher: Unknown
Series:
Year: 2010
Pages: 109
Type: PDF
Language: English
ISBN: 1452854912,9781452854915
Country: USA
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About Author :-
The author John Weiss , San Antonio, Texas. John Weiss says that this book is not the end all of mathematical education, it is a starting point. The author has left certain recommendations open and in fact explicitly state topics for further reading. He hope the student finds this book illuminating and proceeds to further exploration of the natural world and the seemingly magical connection with mathematics. It fills him with wonder that mere thought (mathematics) could actually mirror and even predict this ether surrounding us that we refer to as reality. Maybe, hopefully, this will pique your interest as well.
The intended audience for this book is the non-traditional student who is entering college without a firm understanding in mathematics and wishes for supplemental material. It is also intended for the uninformed yet curious souls tinkering in their garage and trying to make sense of a world that has left them behind technically. It is my sincerest belief that these types of people have been and always will be the backbone of American technological innovations

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Book Contents :-
The Calculus Direct: An Intuitively Obvious Approach to a Basic Knowledge of the Calculus for the Casual Observer written by John Weiss cover the following topics.
1.1 Addition
1.2 Multiplication and division
1.3 Fractions and prime factorization
1.4 Simplifying Exponential expressions
1.5 Polynomial Terms
2.1 Equations in one variable
2.2 Functions in one variable
2.3 Graphing:
2.4 Riemann sums:
3.1 Rate equations
3.2 The Derivative
3.3 The study of derivatives
3.4 Advanced Derivatives
3.4 Advanced Derivatives
4.1 Integration
4.2 Advanced Integration
5. Application of the Calculus
5.1 Position, velocity, acceleration
5.2 Newton’s Second Law
5.3 1st law of Thermodynamics
5.4 mass of a conglomerate
5.5 Fluid Dynamics
5.6 Heat Transfer
5.7 Marginal Cost


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