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Mathematics in 10 Lessons: The Grand Tour Kindle Edition
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Top customer reviews
are tedious and boring. Mr King's work is well written but his target seems to be the abstract rather than application.
Over the years helping my children, friends, and associates, the one cardinal rule was to show them exactly what real
world problems could be solved using algebra, geometry, trigonometry, and calculus-and it works.
Someday a brave tenured professor is going to descend from his/her (i) tower discard archaic symbols, functions, and
fields then combine the remaining disciplines into the XYZ grid.
(No offense Mr. Pythagoras, Mr. Napier, and Mr. King.)
I am an auto didactic and would benefit if the publisher made teacher's guides available on web to avoid printing costs.
Chapter 7 on probability could use additional material on distributions such as Gamma, Exponential, Poisson, and Weibull. Statistics section could use additional material on why Mean, Variance, Skewness, Kurtosis are called 2nd, 3rd, 4th, etc Moments and simple proofs.
Calculus should keep what's there but could use additional material such as delta-epsilon graph showing the relation during Limits. Why stop with the derivative Power law? Include some other standard ones with proofs and explanations. A discussion, before differential equations, on related rates would be nice...with all the proof and example trimmings.
All-in-all a wonderful, remarkable book for the material.
and mathematical thinking that I have ever read. This is a perfect book for autodidacts
who want to advance from non knowing math at all or knowing mathematical techniques to
truly understanding of the fundamentals of the mathematics and mathematics as a
purest form of thought and as a science.
Dr. King is an enthusiast and a math expert who skillfully and engagingly
introduces readers into the most fundamental and the most important principles
of math. Sections on number theory and origins of calculus are simply fantastic.
I sought this type of a book for the purpose of moving beyond mechanical math,
math for engineers and to get the understanding of the math fundamentals.
To start understanding math to the point where I do not need to memorize anything.
This book gave me exactly that type of understanding. Furthermore, this equipped me
with skills so that I can further delve into a math theory.
I recommend this book to all who want to learn mathematics.
I recommend this book to all who feel scared of math or who "hate" math but who want
to learn this science of sciences.
I recommend this book to all who secretly envy mathematicians for their esoteric knowledge.
I recommend this book to all engineers who are familiar with "mechanical" mathematics
- solving problems and applying formulas, but who want to learn foundations behind
the formula and to appreciate the beauty and the power of the mathematics.
It's remarkable when a mathematician illustrates pi by drawing on sequences that calculate an approximation. It's even more prodigious when he shows how to calculate e. Unlike pi, which can be explained by comparing the circumference to the diameter of a circle (pi=c/d), e is the limit of the sequence (1+1/n) to the nth power as n approaches infinity. A mouthful!
Mathematics is full of paradoxical arguments, too. He lists and explains six of the more famous ones. The author also tells the story of 10 year-old Carl Friedrich Gauss, who single-handedly solved the sum of a sequence problem by realizing multiple pairs within the scope of elementary school, shocking his teacher.
Philosophically, King succeeds to take you on "The Grand Tour."
Quod erat demonstrandum (Q.E.D.)