It s a 5 star idea group theory certainly calls for visual treatment
I Hold Back A hold back a only because it still feels like a first draft alternately too verbose and too terse didn t find it as useful as I oped as a complement to opaue texts seemed a little fluffy still Fantastic book Delightful introduction to group theory Heavily designed around using pictures Cayley diagrams Hasse diagrams multiplication tables to build intuitions The presentation is pitched somewhat lower than a first serious abstract algebra course many of the late results Sylow and Galois theory are done as proof sketches rather than proofs with many unproved claims May be suitable for advanced igh school students Lots of intuition on groupsYou should read this as a supplementary text This is a good introduction to group theory for beginners It starts off slowly and informally enough to be accessible to someone with no abstract algebra background and uses diagrams very effectively You will ave a better time if you A cristalli liquidi (Italian Edition) have physical models of the platonic solids to consult There are lots of nice exercises many of which are pretty gentle My views on this book are certainlyeavily influenced by the fact that I already knew almost everything that appears in it but I will still give it an onest goIt st. Group theory is the branch of mathematics that studies symmetry found in crystals art architecture music and many other contexts But its beauty is lost on students when it is taught in a technical style that is difficult to understand Visual Grou.
view so I am not sure that it warrants writing an entire bookKeeping that in mind and the fact thatso I am not sure that it warrants writing an entire bookKeeping that in #Mind And The Fact That Parts Of # and the fact that parts of book are amazing 4 out 5 stars By now the reader is certainly convinced that group theory shows up in diverse situations But it would be a great disservice to the Dragonsbane history of mathematics if I did not mention one application the very reason that group theory was invented In the nineteenth century two young mathematical prodigies Neils Abel and Evariste Galois solved a mathematical problem thatad stood unsolved for centuries It Lonestar Sanctuary has come to be called the unsolvability of the uintic It is one of the great discoveries in mathematics and when you come to Chapter 10 of this book you will be ready to read about it in some detail It rests on the fact that the solutions to polynomial euationsave a certain relationship to one another They form a group Well we re breaking even on the Acknowledgments page with a 1 for the Hofstadter lineage I think e was the first or among the first to teach a visual group theory course a number of years ago and a 1 for thanking God for life and breath and mathematics as well as my ability to write it draw it and enjoy it The last several section so far is complicated for me Seems no so relevant to the FT. Ts and uotients into clear view Every topic and theorem is accompanied with a visual demonstration of its meaning and import from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.
characters Visual Group Theory MAA Classroom Resource MaterialsArts of slow probably too much so but
THE START MANAGED TO CHANGE MYstart managed
To Change My Of Groupchange my of group from algebraic to the visual one at least for the purposes of following the bookStill most of the things expressed visually just don t seem like the better or intuitive way to go Rather they are nice ways to visualize things that are easily understood from a strictly algebraic point of viewThere are only two things in the book that I found useful to visualize were semi direct products and the idea of
Regularity Of Cayley Diagramsof Cayley diagrams other words the local structure which subgroups impose on the whole group I m not sure ow useful they will be in my future study of groups but they are interesting on their ownThe later parts of the book stop being Understanding the Black Economy and Black Money in India heavily visual but that turns out to be a good thingBy far the best part of the book were theighly systematic and intuitive proofs of Sylow theoremsParts of the proof are given visualization but ere it becomes obvious that the intuition and motivation for the proofs stops being visualThe proof of non solvability of uintic polynomials was also great While skipping almost all proofs the entire exposition is intuitive and convincing and again not visualI the end I think that only small parts of the visual idea are useful and although it is P Theory assumes only a igh school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspectiveThe than 300 illustrations in Visual Group Theory bring groups subgroups Biocentrismo. L'universo, la coscienza. La nuova teoria del tutto homomorphisms produc.