PDF Ebook Calculus: An Intuitive and Physical Approach, by Morris Kline
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Calculus: An Intuitive and Physical Approach, by Morris Kline
PDF Ebook Calculus: An Intuitive and Physical Approach, by Morris Kline
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Application-oriented introduction relates the subject as closely as possible to science. In-depth explorations of the derivative, the differentiation and integration of the powers of x, and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Clear-cut explanations, numerous drills, illustrative examples. 1967 edition. Solution guide available upon request.
- Sales Rank: #3429157 in Books
- Published on: 1977-01-19
- Original language: English
- Number of items: 1
- Binding: Hardcover
- 943 pages
Most helpful customer reviews
22 of 23 people found the following review helpful.
AN ENJOYABLE INTRO TO CALCULUS
By Jorge Vega
I started reading this book around February and I was done by the middle of July.
It certainly got me engaged in the subject to a point that, the highlight of my week was doing Calculus
I began with doing some sparse notes on the first chapters and progressively I improved and structured
my notes to even doing the graphs and summarizing the concepts on my on words with a full sequence
of the derivations and equations to solve the exercises
I did it as a way to explain to my self the concepts the author was sharing since I am doing it on my own.
and on my own pace, with no regard or consideration about tests or examinations. It was purely for myself.
To my surprise I discovered that I was enjoying this book. very much.
It was very satisfying to share on the vision, on the thoughts and on the conclusions from the author
and math took a new dimension, a dimension beyond the symbols and the equations, It became alive
as a language that was relating to me a story much clear and structured of the things around me, an of
the different phenomena and of motion and of time and of constants and initial conditions, of relations
and of rates of change, and of limits and of most of all seeing how could I interpret the equations and how to relate
theorems and concepts,
It was talking of intuition and of rigor on math, of geometric constructs and derivations, and of how could I play
with the equations and discern the meaning of the results, and how can I go from generalities and simple conditions
on to more complex problems in a progressive escalation on the restrictions, and elements at play, around a set
of conditions relating to a problem.
I could picture Fermat working in his light theory of least time, hundred years earlier and admired his accomplishment
beautiful in his derivation, Kepler in his wondering of celestial motions of planets, and of course the Newtonian achievement
of Calculus from the secant to the tangent the vision of a limit concept expressing instantaneous change and the crowning concept
of anti differentiation from a sum again approaching a limit expressed by the integral it was especially satisfying to reach to
triple integration and see how the geometry scaffold and the calculus make such great team on illuminating over the varied
physical phenomena that different sciences work on.
Now am eager to continue the discoveries on some other books on Mathematics, on Physics, on Electricity and Magnetism
on Chemistry and even my goal Quantum Mechanics, It seems like this book helped me to awaken in me
the interest on observing and analyzing a set of conditions and correlate them to mathematical terms
having the confidence to try, to err and to try again, to play with the math, to have fun with the equations and to challenge
the results, the approach, the concepts.
After all mathematical constructs are just that, an expression of our perceived reality, and of our resources
and of our limitations, It is a mind endeavor, even a mind game, if you will that comes alive in the equations and through the
effort and persistence of so many minds bent on pushing ahead the boundaries of math and science..
It certainly was fun doing this Calculus book
Thanks Mr Kline
where ever you are Thank you very much.
13 of 13 people found the following review helpful.
I always want to understand lots of mathematics better, especially on Calculus
By Seong Kook Shin
Having inferiority complexity, I always want to understand lots of mathematics better, especially on Calculus. I bought several books on this topic, but because of short of my free time to study, I couldn't advanced in my calculus skill. In my country, basic calculus is for high-school students. It has some merits compared to other countries whose students learn the calculus on their college life, but has a serious defect; making the student lose the interest to mathematics due to the scoring policy. Thus, I know how to solve/simplify complex equation, how to solve differentiation, and so on, but never fully understood the meaning of them.
Reading this book (I admit, that I just finished to read Chapter 7), brought me the enlightenment of the differentiation and integration, especially the concept of calculus, not just how to solve them. I know other great books on calculus especially for the students. However, being a person who has limited time to study, this book shines above all. (Even for non-English speakers like me.)
There is one minor defect I think, like many mathematics books, it refers to other section and figures in a different pages a lot. Thus it prevent me from reading smoothly sometimes. Most of equations are rendered as images with reasonable size and resolution, so it does not cause problems, although they look somewhat ugly.
8 of 8 people found the following review helpful.
Solutions manual available -- great book!
By Max K
Very accessible. So far I prefer it very much to my other calculus text. Note that the solutions manual is not included in this tome but is available for download for free from Dover Publications. Googling "Calculus: An Intuitive and Physical Approach Solutions Manual" should do the trick.
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