Read Fearful Symmetry Is God a Geometer?
Ncepts of symmetry to portray fascinating facets of the physical and biological world More than 120 figu. This is a wonderful book about the things that BREAK symmetry Lots and lots of illustrations that truly bring the topic to life The very first photograph is of a milk drop falling into a saucer of milk The circular wave centered around the point where the drop hit the surface rises as a crown The crown has 24 spikes and droplets so there is 24 fold symmetry The reason there is ALWAYS a 24 fold symmetry seems to be a mysteryThe book covers so many different subject areas geometry astronomy and cosmology fluid dynamics biology nonlinear dynamics and One of the most fascinating chapters was about the gaits of animals and how animals change from one gait to another like from trot to canter and so on Highly recommended to everyone who is interested in the natural world
review ´ PDF, eBook or Kindle ePUB free Ø Ian Stewart
Res illustrate the interaction of symmetry with dynamics and the mathematical unity of nature's patterns. Part of my job includes teaching uantum mechanics to other people so when I find a math book that not only offers up insightful takes on mathematical concepts I m not already nauseatingly familiar with but does so in humorous and accessible prose I get truly excited Not only have I enhanced my own learning I ve found a teaching example to look up to That said not even Ian Stewart could make me care about the biology sections
Ian Stewart Ø 5 Download
From the shapes of clouds to dewdrops on a spider's web this accessible book employs the mathematical co. A very nice book explaining the mathematical concept of symmetry and its application to patterns formations in physics biology astronomy etc I really love that the authors begin the discussion with Curie s principle a uestion somewhat fundamental to all sciences also of important philosophical connotations whether symmetric cause has symmetric effect In my layman s understanding symmetry is some transformation that leaves a particular structure invariant The structure can be a geometric figure or interesting to physicists euation of motion A particular solution of the euation often do not have as many symmetries as the euation itself symmetry is broken However the symmetries are preserved by the set of all solutions I think it s beautiful in the sense that it resonates with our experience with Nature you see one piece of her work somewhere then you know what else there could be and they are all from same cause or origin one cannot be if others are not Another thing I found interesting is to compare this book side by side with Hermann Haken s books on Synergetics Lots of examples are the same But just from the keywords you see different traditions of pattern formation studies One is about how things are broken from one the other is about how many things eg degree of freedoms come to be one The contrast worth much contemplation I also love the final part on symmetric chaos This teased me on a uestion I always think about what s the relationship between perfect symmetry breaking and statistical symmetry breaking It seems that there were hints but not yet conclusions when the book was written I played with some programs myself So much fun I m very grateful that the authors provided euations and pseudo code for curious readers I just started another book by Field and Golubitsky on this topicI read this book because it was referred to in another book of Golubitsky called the symmetry perspective which I think is inspiring Sometimes greater pleasure comes with greater precision especially for a math topic I recommend that book for any one who wants to dig deeper into the formalism