PDF Ebook Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics), by Morris Kline
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Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics), by Morris Kline
PDF Ebook Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics), by Morris Kline
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Product details
Series: Dover Books on Mathematics
Paperback: 960 pages
Publisher: Dover Publications; Second edition (June 19, 1998)
Language: English
ISBN-10: 9780486404530
ISBN-13: 978-0486404530
ASIN: 0486404536
Product Dimensions:
6.2 x 1.8 x 9.2 inches
Shipping Weight: 2.8 pounds (View shipping rates and policies)
Average Customer Review:
4.5 out of 5 stars
136 customer reviews
Amazon Best Sellers Rank:
#23,811 in Books (See Top 100 in Books)
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 CalculusI 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 exercisesI 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 authorand math took a new dimension, a dimension beyond the symbols and the equations, It became aliveas a language that was relating to me a story much clear and structured of the things around me, an ofthe different phenomena and of motion and of time and of constants and initial conditions, of relationsand of rates of change, and of limits and of most of all seeing how could I interpret the equations and how to relatetheorems 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 accomplishmentbeautiful in his derivation, Kepler in his wondering of celestial motions of planets, and of course the Newtonian achievementof Calculus from the secant to the tangent the vision of a limit concept expressing instantaneous change and the crowning conceptof anti differentiation from a sum again approaching a limit expressed by the integral it was especially satisfying to reach totriple 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 Magnetismon Chemistry and even my goal Quantum Mechanics, It seems like this book helped me to awaken in methe interest on observing and analyzing a set of conditions and correlate them to mathematical termshaving the confidence to try, to err and to try again, to play with the math, to have fun with the equations and to challengethe results, the approach, the concepts.After all mathematical constructs are just that, an expression of our perceived reality, and of our resourcesand of our limitations, It is a mind endeavor, even a mind game, if you will that comes alive in the equations and through theeffort and persistence of so many minds bent on pushing ahead the boundaries of math and science..It certainly was fun doing this Calculus bookThanks Mr Klinewhere ever you are Thank you very much.
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.
***On the BookI already have taken basic calculus courses not that long ago, so I used this book more for reviewing and "honing" purposes, and I couldn't be more pleased with it. The author details many derivations that were skipped in my calculus courses, for example the derivatives and integrals of inverse trig functions, the formulas of which us clueless students were forced to memorize. After reading this book, never again would I have to futilely batter my brain cells in the frantic search for a formula I was not able to retain - this is the best quality about the book. Ordinarily, students would be taught math (or any other subject) in a way that would induce them to score well on tests. This technique is shallow and often cuts corners, as some steps are left out for fear that it may confuse the test-taker, who inevitably takes his test unthinkingly.Kline's [the author] teaching philosophy is different. He sets out everything in detail and with clarity, so that the student may himself solve problems without resorting to formulas or hoping that test problems would not differ from the drills he has solved. Furthermore, the practice problems in this book are engaging, and Kline has take great pains to show how every mathematical technique can be used in real life. Some of his practice problems also asks that the student prove some thing or other (it is not all application), and this allows the principle to further sink in the brain.A solutions manual is not included in the book, but may be requested, for free, from Dover. The details of how to do this is described in one of the front pages where the copyright information is found. The solutions manual could also be found in Dover's website. It is in pdf form and is something like 250 pages.The solutions in the solution's manual do not merely list the correct answers. It also describes how to get to that answer. There are some typos, so there may be moments when no answer of yours would be correct now matter how and how many times you get at it. I do not believe the typos are anything major, since it can be obvious when something is a typo. Besides these atypical moments, the solutions manual could be regarded as having the infallibility of God, and with inducing the same soul-enriching effects.Some people may complain about the wordiness of this book, but the "wordiness," in my opinion, aids in the understanding: it is a blow-by-blow description of the proofs and model problems. It could be skipped; I mostly don't.I highly recommend this book.***On Amazon:I have already bought a book from Amazon before, purportedly new, but when I received it, its spine was wrinkled, a fabrication error I suppose. It was also evident from a number of other minor damages that Amazon does not take good care of the books in its store. The book was far worse-looking than many of the used books I bought from outside sellers. Now, I bought another book from Amazon, this one, and it was no surprise that it was worn-looking and evidently manhandled by whoever was in charge of Amazon storage. I was willing to overlook that, what I can't abide by is the stains I found on pages 347-351, and goodness knows how many more stains and surprises lie in wait. Is Amazon trying to pass off used books as new? I am sick of how Amazon handles its products.
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