My first review in English and I m sure it s full of errors There are two main flaws in this book History of mathematics and philosophy of mathematics Other reviewers have correctly mentioned Kline s unfair views on history Throughout the book it was clear that Kline considers mathematics merely a mental construction Although I don t find it plausible, but it s acceptable that a mathematician have such approach towards ontological issue since at least as far as I understand the topic is very well open So far I was OK, but in last chapter while discussing the structure of mathematics he limits realism in ontology to ancient Greeks and only adds This view of mathematics was undoubtedly the dominant one until well into the eighteenth century and is held by some even today Then he starts defending his view that mathematics is entirely We are in 1967, Kline is trying to thrill us, nonmathematicians, with mathematics Bravo He dares to go through the centuries explaining how the foundations of mathematics have been evolving Of course, his accounts on history and philosophy throughout this book are naturally biased because he is madly in love with mathematics However, he makes mathematics very interesting By showing it as a growing body of knowledge defining, in precise terms, the chain of ideas that have been pushing civilization forward Incredible Here goes my favorite example Non Euclidean geometry set mathematicians FREER because it showed that mathematics is NOT a body of truths It is a body of consistent reasoning being slowly developed within the rise and fall of civilizations And the main source of mathematical ideas is nature herself.
Mr Kline and his book are a remnant of a happily bygone era I can only assume that the good people at Dover books who consent to repackage and sell this chauvinistic relic from 1967 must be equally unenlightened, and greedy into the mix I gave up on this thing after the historical overview bit chapters 1 4 I m just not content with a history of numbers that spends 20 pages on the drama of the Pythagoreans and irrational numbers, and then gives us this on the invention of negative numbers Perhaps because the Hindus were in debtoften than not, it occurred to them that it would also be useful to have numbers which represent the amount of money one owes I mean, come on Up yours, Morris.
Someone asked me to compile a list of the 10 most influential books I had ever read This ranked near the top I read it for the first time in my early twenties and it among other things began the process of turning my life around after half a decade of stupid choices.
Stated quickly There isto mathematics than the memorization of arithmetic and the mechanical transformations of algebra They are to real math what pronunciation and grammar are to rhetoric, composition, and poetry That is critical prerequisites, but beside the point.
Scientific, Philosophical, And Artistic Problems Have Caused Men To Investigate Mathematics But There Is One Other Motive Which Is As Strong As Any Of These The Search For Beauty Mathematics Is An Art, And As Such Affords The Pleasures Which All The Arts Afford In This Erudite, Entertaining College Level Text, Morris Kline, Professor Emeritus Of Mathematics At New York University, Provides The Liberal Arts Student With A Detailed Treatment Of Mathematics In A Cultural And Historical Context The Book Can Also Act As A Self Study Vehicle [ Pdf Mathematics for Liberal Arts ↠´ back-to-school PDF ] by Morris Kline ð For Advanced High School Students And Laymen Professor Kline Begins With An Overview, Tracing The Development Of Mathematics To The Ancient Greeks, And Following Its Evolution Through The Middle Ages And The Renaissance To The Present Day Subsequent Chapters Focus On Specific Subject Areas, Such As Logic And Mathematics, Number The Fundamental Concept, Parametric Equations And Curvilinear Motion, The Differential Calculus, And The Theory Of Probability Each Of These Sections Offers A Step By Step Explanation Of Concepts And Then Tests The Student S Understanding With Exercises And Problems At The Same Time, These Concepts Are Linked To Pure And Applied Science, Engineering, Philosophy, The Social Sciences Or Even The ArtsIn One Section, Professor Kline Discusses Non Euclidean Geometry, Ranking It With Evolution As One Of The Two Concepts Which Have Most Profoundly Revolutionized Our Intellectual Development Since The Nineteenth Century His Lucid Treatment Of This Difficult Subject Starts In The S With The Pioneering Work Of Gauss, Lobachevsky, Bolyai And Riemann, And Moves Forward To The Theory Of Relativity, Explaining The Mathematical, Scientific And Philosophical Aspects Of This Pivotal Breakthrough Mathematics For The Nonmathematician Exemplifies Morris Kline S Rare Ability To Simplify Complex Subjects For The Nonspecialist



This book isn t just about mathematics It s about history, science, philosophy, the arts, and astronomy One of my best reads ever Reread many times.
Many years ago, I hated math Let be clear this was a thorough loathing of the subject Also many years ago, at one particular crossroads in my academic and professional paths, I realized I needed to get back into mathematics and move well into calculus at least I walked into my local bookstore and saw this book I bought it, and within minutes of having purchased it, I found I couldn t stop reading it.
I walked the entire way home from the bookstore never mind I had driven to get there , reading this book the whole way home Since that time, I have read this book no fewer than a dozen times, and my first copy remains my most treasured book of all I have bought subsequent copies to lend and gift to others who don t care for math, but find themselves needingstrength in it.
The hook for me is the surprisingly engaging history o ì Mathematics for Liberal Arts È As noted in a lot of comments, the first few chapters vary between heavily biased or outright blatantly Eurocentric Watching Marcus Du Sautoy s The Story of Math series will be fareffective in getting a sense of the history of Mathematics.
That said This is a wonderful work, Kline s explanation of very abstract concepts in a very clear way makes it well worth reading His anticipation of questions that might arise when encountering a new subject in Mathematics is always on target Much of what is infuriatingly missing in classic college textbooks is addressed here Who came up with this concept, why is it important, how does it relate to other fields, how does it relate to the real world Kline walk as perfect line between just enough complexity and details about a subject to keep the reader engaged, while adding in a concrete example just at the right time My math skills are underdeveloped I ll freely admit that I am seeking to remedy that as quickly as I can.
To that end, this book was a fantastic help for me It really should be a standard text in at least college, if not in high school The fun part of this wasn t just having math explained clearly, but also the history of the math Kline hasbrief biographies of the major players behind the ideas, where the ideas came from, where they led, and different aspects of the whys and wherefores.
It s a math book that is also a history of math.
It is a very accessible book, Kline presents the math clearly and neatly, with plenty of practice problems to reinforce the principles answers are in the back of the book, thankfully.
If you are looking to brush up on rust This book simplifies complex mathematical topics This is precisely what a good math teacher will do for their students This book gives an overview regarding where some of the math which has been studied comes from It also explores subjects ranging from basic math to Calculus and gives problems and solutions in a simple, easy to understand, practical way.

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