Infinite Powers

Infinite Powers Without Calculus, We Wouldn T Have Cell Phones, TV, GPS, Or Ultrasound We Wouldn T Have Unraveled DNA Or Discovered Neptune Or Figured Out How To Put 5,000 Songs In Your Pocket Though Many Of Us Were Scared Away From This Essential, Engrossing Subject In High School And College, Steven Strogatz S Brilliantly Creative, Down To Earth History Shows That Calculus Is Not About Complexity It S About Simplicity It Harnesses An Unreal Number Infinity To Tackle Real World Problems, Breaking Them Down Into Easier Ones And Then Reassembling The Answers Into Solutions That Feel Miraculous Infinite Powers Recounts How Calculus Tantalized And Thrilled Its Inventors, Starting With Its First Glimmers In Ancient Greece And Bringing Us Right Up To The Discovery Of Gravitational Waves A Phenomenon Predicted By Calculus Strogatz Reveals How This Form Of Math Rose To The Challenges Of Each Age How To Determine The Area Of A Circle With Only Sand And A Stick How To Explain Why Mars Goes Backwards Sometimes How To Make Electricity With Magnets How To Ensure Your Rocket Doesn T Miss The Moon How To Turn The Tide In The Fight Against AIDS As Strogatz Proves, Calculus Is Truly The Language Of The Universe By Unveiling The Principles Of That Language, Infinite Powers Makes Us Marvel At The World Anew. I feel bad for kids who do ordinary arithmetic in grade school For me, the math doesn t get interesting until you get above the Calculus line Calculus with its dealings with the continuum is the first real taste of the infinite If you stick around for Calculus I bet you would want Strogatz in this book shares some of the excitement we have once the math gets weird In some places, math can be hallucinogenic I encourage people to look beyond grade school stuff which is way interesting espec
Calculus is one of those subjects that is so complicated that most people not only don t understand it, they don t even know what it is that they don t understand But that s unfortunate, because calculus is one of humanity s most impressive achievements, an accomplishment that unlocks the secrets of the universe and delivers our most profound and useful technology, from radio and television to GPS navigation and MRI imaging Calculus is the main protagonist in the story of science, and is a subject every educated person should understand at least conceptually Fortunately, you don t have to trudge through a thousand page textbook to appreciate the story and power of calculus Steven Strogatz, in his latest book Infinite Powers, has provided a clear, concise, and fascinating tour of the subject In fact, if you don t understand what calculus is all about after reading this book, then the prospects are not great that you ever will There is simply no better, clearer presentation of the ideas available Strogatz uses metaphors, illustrations, stories, and examples to guide the reader through the most difficult concepts While this is not an easy read, it is as reader friendly as possible remember, you re tackling the most sophisticated branch of mathematics, the underlying logic of all science, and a subject that the sharpes
TL DR In Infinite Powers,Dr Steven H Strogatz teaches us how to use our microwaves to calculate the speed of light I m not kidding That s all the recommendation this book needs Highly Recommended.Review cross posted at Review When I tell people that I m an engineer, my wife likes to follow up that comment with, He does math all day long A common response is, Oh, you must really like math I didn t enjoy it in insert level of schooling here To keep the conversation moving I agree, and while I do like math, I didn t always Until I started studying calculus, math bored me Algebra existed as a set of rules geometry, though my introduction to proofs, seemed too abstract But when I first solved a derivative, my indifference turned to frustration and intrigue My plan to take only enough math to get an engineering degree changed to a serious contemplation of switching career paths to applied mathematics with an eye towards physics grad degrees Ultimately, I stuck with the engineering curriculum but ended up studying higher level mathematics, and to this day, I still read about and love math Part of my studies now involves going back and filling in what I missed during previous years One of the voices to which I turn is Dr Steven Strogatz, and his latest book, Infinite Powers, fills in details about calculus that I lacked His explanations don t rely on the familiar equa
I need to psyche myself up to do some math for work And I have a math sherpa and I arranged to meet him so he can take me through the paper I must tackle But I m old and only really remember my high school math well, so there is a genuine task at hand here.So I duck and dive between the paper and my notes from my MSc thesis from at least fifteen years ago and I work out the answer to lesser problems and I write out my questions for my sherpa and I also need to be thinking math the whole time I need to be in a mood, basically.That s the task.So I did the sensible thing and went on a bit of a binge and bought a whole bunch of popular math books in one go to read in the tube Infinite Powers I read first, because it looked like it would not challenge me at all and it gets good writeups.It s bloody awesome It s than an anthology of results and it s than a series of mini portraits of mathematicians, it s almost got a plot Surprisingly often, even the obligatory corny applications of the math are somewhat related to what the author s talking about.Huge caveat I knew both th
I certainly wish I had read this book while in high school or college We grilled all the basic technical parts of calculus and yet unsure what was the point Well certainly you don t need to know it if you do not work in science and research Life can go on just as well But being able to appreciate the beauty of it is an added bonus And then who knows, seeing that beauty could change the path you take in life.Strogatz takes the same approach with his earlier pop science book, The Joy of x, i.e trying his best to explain calculus via intuition, allegories, and graphs It works up to some extent Some concepts require a lot , but as the author tries to avoid discussing the technicals, the discussion becomes a bit shallow That is still fine, this is not a textbook.What I m a bit uneasy about is Strogatz s reverence for calculus to the point of being religious Maybe I have taken it wrong, taken his comparison allegory too much at face value when he cites Feymann over and over again that it is the language of God Just as the title says, Strogatz argues that calculus is so special, nature acts according to the rules of calculus, everything can be described using these types of equations Perhaps I ve taken calculus for granted O
This book does not make calculus interesting Calculus is widely perceived as important part of science in understanding basic laws of physics But it also has important applications in advanced physics relativity and quantum mechanics, cosmology, astronomy, biology, chemistry, medicine, geology, ecology and in everyday life In this book, the author discusses calculus as catch as
Dividing by zero summons infinity in the same way that a Ouia board supposedly summons spirits from another realm It s risky Don t go there This sentence gives a good idea of the fun and rigor that Steven Strogatz brings to this book that explains what the big deal is to people who, let s face it, are unlikely to learn calculus The desire to harness infinity and exploit its power is a narrative thread that runs through the whole twenty five hundred year story of calculus By weaving examples of what s so damn useful about calculus with stories of great minds and the problems they overcame personally and mathematically, Strogatz wrote a readable, yes, fun book about math His is not a big ego, he gives pioneers their due and busts some myths along the way, the Pythagorean theorem did not originate with Pythagoras, it was known to the Babylonians for at least a thousand years before him We learn about the Chinese genius Liu Hui who improved on Archimedes s method for calculating pi as well as Zu Chongzhi who pushed the study of polygons further than anyone before him Strogatz has a special affinity for t
A few centuries ago some clever people noticed that nature is in an ever changing state, notably Galileo 1564 1642 studying objects in free fall and Kepler 1571 1630 studying the motion of planets around our sun Then Newton 1643 1727 and Leibniz 1646 1716 invented a mathematical tool to get closer and closer to the changing system at hand Steven did a great job explaining how Calculus uses divide and conquer to the extreme taming infinity to describe the universe It changed civilization this book travels from Archimedes 212 computin
An absolute joy to read, this book just might make you fall in love with calculus Yes, Steven Strogatz really is that good. A fantastic book about calculus A blend of the history of the development of calculus, its applications, and intuitive explanations of its power filled with nicely intuitive explanations that will either provide a refresher or a different way of understanding what you have already learned.Steven Strogatz proceeds in sort of chronological order, defining calculus not as what you learn in school but any technique that breaks things apart into infinitesimal pieces and puts them back together again in order to solve problems Rather than describing an immaculate conception of calculus by Leibniz and Newton, Strogatz starts with Archimedes, shows several geometric applications, and even spends a lot of time on Descartes and Fermat before even getting to what we consider calculus today In all of these he shows how a combination of abstract ideas but

[Epub] ↠ Infinite Powers  Author Steven H. Strogatz –
  • Hardcover
  • 384 pages
  • Infinite Powers
  • Steven H. Strogatz
  • 18 September 2019
  • 9781328879981