Book Description

Cinderella is a unique, technically very sophisticated teachware for geometry. It will be used as a tool by students learning Euclidean, projective, spherical and hyperbolic geometry, as well as in geometric research by scientists. Moreover, it can also serve as an authors' tool to design web pages with interactive constructions or even complete geometry exercises. For this Version 1.2 a few minor items have been changed, such as: - you can add greek letters in text - the dialog window for exercises has changed - text objects work in hyperbolic and spherical ports, too - the MacOS installation procedure has changed. ... Read more

Reviews (6)

Not a rip-off; please contact Springer Support.
Hi,

this is just an answer to the complaint found below. I am sorry for the current state of our website, but you should not mix-up our website with the support you get when you buy Cinderella. The web site is done in our spare time; the support is handled by Springer-Verlag. In your case, just contact Springer at service@springer-ny.com -- they can help you with the Windows XP issues you are experiencing.

Ulli Kortenkamp (one of the authors of Cinderella)

Nice Box, No Support
The box is very enticing, but the software will not run on Windows XP or Windows 2000. The "support" turns out to be a web site that is under construction and is full of broken links. The publisher (Springer) does not seem to offer support either, they refer you to the same useless web site.
Some of the provided precompiled java examples were interesting, but I never could get the package itself to run.
Without proper support, this product is a rip-off and should be withdrawn.

Good concept, but poorly supported
I was impressed by this software when I first bought it.The graphics are nice, the interface is clean and intuitive.But there are many features lacking: the ability to put arbitrary text in the construction, to draw arcs of circles, to make calculations with measurements and much more.Several of these features are promised `in the next update' on the product's website, but this update has never appeared, nor is there any timetable for expected upgrades.Another problem I have had with this software is in installation: whether installing to Linux, recent Windows or OS X, there are always difficulties -- again (I suspect) because the software writers have not been responsive to the problems with some java platforms.

There are many free, open source alternatives to this product: for instance, the graphical KGeo (for Unixen),C.a.R. -- Compass and Ruler (java), and the text-based eukleides (Unixen and Windows).These have all the features of Cinderella and more; and, most importantly, they are actively supported: bugs and feature requests are dealt with.

Cinderella interactive geometry review
Cinderella is very similar to Geometer's Sketchpad.There are some important differences.Cinderella uses more sophisticated algorithms to draw objects and therefore, some minor annoyances of Sketchpad are eliminated.In sketchpad, objects defined as the intersection of two circles may jump from one intersection to another under some conditions.This does not happen in Cinderella.The only shortcoming of Cinderella (in comparison to Sketchpad) is that Cinderella does not do computations.That is, you cannot display the product of two segment lengths.Cinderella works very smoothly, and is half the price of Sketchpad.I like them both, but would go for Cinderella based on price.

Great Geometry on a Computer
I have played around with other software for making geometric constructions, but this is by far the easiest to learn.The basic options are all listed for you at the top of the screen, so that they are easy toaccess and with a little practice very complex geometric designs can beeasily created.Once your design has been created you can grab a point,move it around, and see the effect on other points in the design.The"locus" feature is fantastic for understanding how the motion ofone point effects other points in the figure.Your control over point andline, color and size is outstanding. The line clipping function and theability to make parts disappear while still playing their function makes itpossible for you to create designs which demonstrate your ideas in a clearmanner.The printed results, with respect to lines and circles, is for themost part outstanding.I congratulate the authors.The price is right. Buy it. ... Read more

Book Description

Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularities, and topological invariants.The authors, both of whom have contributed significantly to the field, develop the classification theory for integrable systems with two degrees of freedom. This theory allows one to distinguish such systems up to two natural equivalence relations: the equivalence of the associated foliation into Liouville tori and the usual orbital equaivalence. The authors show that in both cases, one can find complete sets of invariants that give the solution of the classification problem. The first part of the book systematically presents the general construction of these invariants, including many examples and applications. In the second part, the authors apply the general methods of the classification theory to the classical integrable problems in rigid body dynamics and describe their topological portraits, bifurcations of Liouville tori, and local and global topological invariants. They show how the classification theory helps find hidden isomorphisms between integrable systems and present as an example their proof that two famous systems--the Euler case in rigid body dynamics and the Jacobi problem of geodesics on the ellipsoid--are orbitally equivalent.Integrable Hamiltonian Systems: Geometry, Topology, Classification offers a unique opportunity to explore important, previously unpublished results and acquire generally applicable techniques and tools that enable you to work with a broad class of integrable systems. ... Read more

Book Description

Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). The book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used to complement courses on differential geometry, Lie groups, or probability or differential geometry. It is ideal both as a reference and for those wishing to enter the field. ... Read more

Book Description

This updated edition will continue to meet the needs for an authoritative comprehensive analysis of the rapidly growing field of basic hypergeometric series, or q-series.It includes deductive proofs, exercises, and useful appendices. Three new chapters have been added to this edition covering q-series in two and more variables; linear- and bilinear-generating functions for basic orthogonal polynomials; and summation and transformation formulas for elliptic hypergeometric series. In addition, the text and bibliography have been expanded to reflect recent developments. First Edition Hb (1990): 0-521-35049-2 ... Read more

Book Description

Ideal for users who may have little previous experience with abstraction and proof, this book provides a rigorous and unified—yet straightforward and accessible—exposition of the foundations of Euclidean, hyperbolic, and spherical geometry. Unique in approach, it combines an extended theme—the study of a generalized absolute plane from axioms through classification into the three fundamental classical planes—with a leisurely development that allows ample time for mathematical growth. It is purposefully structured to facilitate the development of analytic and reasoning skills and to promote an awareness of the depth, power, and subtlety of the axiomatic method in general, and of Euclidean and non-Euclidean plane geometry in particular.Focus on one main topic—The axiomatic development of the absolute plane—which is pursued through a classification into Euclidean, hyperbolic, and spherical planes. Presents specific models such as the sphere, the Klein-Betrami hyperbolic model, and the “gap” plane. Gradually presents axioms for absolute plane geometry. ... Read more

Book Description

This volume covers the proceedings of an international conference held in Oxford in June 2002. In addition to articles arising from the conference, the book also contains the famous as yet unpublished article by Graeme Segal on the Definition of Conformal Field Theories. It is ideal as a view of the current state of the art and will appeal to established researchers as well as to novice graduate students. ... Read more

Book Description

Fractal Geometry is a recent edition to the collection of mathematical tools for describing nature, and is the first to focus on roughness. Fractal geometry also appears in art, music and literature, most often without being consciously included by the artist. Consequently, through this we may uncover connections between the arts and sciences, uncommon for students to see in maths and science classes. This book will appeal to teachers who have wanted to include fractals in their mathematics and science classes, to scientists familiar with fractal geometry who want to teach a course on fractals, and to anyone who thinks general scientific literacy is an issue important enough to warrant new approaches. ... Read more

Reviews (1)

See how fractals can be part of the math curriculum
When I teach computer programming, the sections that raise the greatest amount of interest are those that involve the manipulation of images. Therefore, it is natural to me that any mathematics that involves the manipulation of images would generate a great deal of student interest. I was a working mathematician when the concept of fractals hit the world, and like so many others was caught up in the excitement. I wrote programs to generate them and read all of the major books.
That was almost two decades ago, and the field has continued to expand. In this book, you will read about projects where math teachers have incorporated fractals into the curriculum. It is no surprise to me that it was almost universally a success, the sheer beauty of the fractal images guarantees interest and the increase in computing power has made the generation of images much easier. Many of the first images I created required overnight runs, something that can be done in minutes today.
The fact that the images do model much of the natural world also increases the interest. Nature is irregular and unpredictable in the micro sense, and fractals give us a way to describe and maybe understand it. The articles are all well written and easy to follow, and many different types of projects are demonstrated. Some of the papers describe the structure of courses in fractals, so if you have an interest in creating such a course, you can find your point of origin.
While fractals have occasionally suffered from the common malady of being oversold, they do provide a bridge between mathematics and the real world. Therefore, the study of fractals should be part of the mathematics curriculum, and in this book you can read about how many people have successfully done it. Another quality book on contemporary mathematics, it should be part of the next iteration of library purchases everywhere. ... Read more

Book Description

Dale Husemoller is Professor of Mathematics at Haverford College (PA). Most of his research has been in algebraic topology, homological algebra, and related fields. Together with John Milnor, Husemoller is author of Symmetric Bilinear Forms (Springer-Verlag, 1973). He is also the author of Elliptic Curves (Springer-Verlag, 1987) and cyclic homology (Tata Lecture notes, 1991). Visits abroad include the IHES (Institut des Hautes Etudes Scientifiques) in France, Universität Bonne and Universität Heidelberg in Germany, ETH in Zürich, Switzerland, and the Tata Institute of Fundamental Research in Bombay, India. ... Read more

Reviews (2)

Let E be a principal O(n)-bundle...
I enjoyed reading this book, although this wasn't the place where I first started learning about the subject. Husemoller lays out the foundations, starting from scratch, and presupposes a great deal of mathematical maturity. New applications to physics (gauge theory, supersymmetry and all that) are usually better left untouched in a book like this, since Husemoller's secondary concern is about applications to homotopy theory rather than physical applications. To some reviewers, this would leave much else to be desired, but the scope of the book warrants attention being paid to the nitty-gritty of fibres bundles, suitable for a mathematical audience (say, homotopy theorists).

Excellent!

OK book on Fiber bundles
Modern mathematics books are usually written in a formal style that makes for impeccable logic but poor didactic quality. Husemoller in this book gives a good summary of the main results in the theory of fiber bundles but leaves the reader wanting as to just why the techniques used to study bundles work as well as they do. One needs insight and intuition into a subject if one is to apply it or extend its frontiers. The techniques from K-theory and the idea of characteristic classes needs to be explained in detail. It would be have been nice if the author could have explained, and not just expounded, why these techniques are so powerful in the study of fiber bundles. I have read both the 2nd and 3rd edition of this book, went through all of the calculations and proofs, and still was left with a hunger for more understanding of the relevant concepts. For such an understanding I read the original papers in the early part of the 20th century, and read Norman Steenrod's book on fiber bundles. No doubt that understanding of such an abstract formalism does require careful thought, but a good book should be a guide in that effort. Husemoller's book cannot be read as a standalone book in that regard. One must supplement it with a tremendous amount of outside reading. The merits of the book, at least in the 3rd edition, are the discussion of the guage group of the principal bundle, and the inclusion of a chapter on characteristic classes and connections. The physicist reader who is interested in how fiber bundles enter into quantum field theory or superstring theory will welcome this. A good book for reference and worth purchasing, but if you want an in-depth understanding of the theory of fiber bundles, be prepared to read a lot more other than this book....definitely much too formal. ... Read more

Reviews (1)

AN AWESOME READ
Like the Marines who stormed the beaches of Iwo Jima the author, John Tabak, storms the beaches of geometry and ultimately raises the flag on an infinite-dimensional Hilbert space.Buy it.Read it. Love it.
Semper Geometry,
James Tabak USMC
--Geometricians are squared away. ... Read more

Book Description

When King Arthur and his knights get together, the table they have is so long that everyone has to shout to be heard. A rectangular table is too long and a triangular table is too pointy, but somehow they must sit down and discuss the shape of the future. Join a knight called Sir Cumference, his wife, Lady Di of Ameter, and their son Radius as they use different strategies to solve this quandary.

Fanciful illustrations add to the merriment of learning math and will inspire young mathematicians. ... Read more

Reviews (7)

Great for early elementary age kids
I read this to my seven year old. He found the story very interesting and runs about laughing about things like diameter and circumference. He remembers the names, and the way the measurements are presented is very conceptual. Great for young kids, but above third grade or so, I'd say it may not do a whole lot except for help remember the names. It was a *cute* story, not anything very dramatic, and was appropriate for young children.

Lame. Not worth your money.
My amazon record shows that I actually bought this book. I had forgotten, and 'returned' it to the public library, which is where I wish I'd gotten it to begin with. The story is strained and not very informative. Great math books worth buying to read to your child include Math Trek, Math Trek 2, G is for Google, and especially, the Number Devil - reading great math books has been wonderful fun for my family - but not Sir Cumference.

Cute story....the kids love it!
This book creatively exposes the reader to some common geometric terms. Although I would not say it is extremely educational, it is the most mathematically educational story book I've ever seen (because most story books are not about math). My three year old daughter thought the book was for her, and asked to have it read to her every night. She loved it! My 11 year old son is really too old for the book, but he still liked it.

kids loved it
While parts of the story seemed a bit far-fetched, my 5th grade students loved the play on words in the characters' names. They also enjoyed seeing how a rectangle was changed to create other polygons (and finally a circle). At the end of the reading, one student said, "I'll never forget THESE math terms!" I suppose I achieved my objective. The kids didn't much care for the illustrations, however. They created their own!

enjoyable
I'm not a connoiseur of children's literature. But I will be teaching high school math in about a year and used this book for a math methods class. I enjoyed the humor and the art. The reading level is about 4th grade and so is the math content. Most of the book illustrates in a amusing way just how circles are different from other geometric shapes and how these differences affect the design of everyday objects. The book ends by tying the definition of circumference, radius and diameter to the names and actions of the main characters in the story.

However, the story line is marred by a certain tedious political correctness in that the outsiders who appear to threaten the realm are not really a threat - it's all a misunderstanding. This hollows out the content of the ideal of the knight (or soldier or policeman), a hero who employs his strength at the risk of his own life to defend the more vulnerable members of the community from villains and the community itself from outside threats. ... Read more

Reviews (12)

I tutor and this book is the best
I tutor geometry and am happy to find most california high school students use this book.It is clear and staight forward and I have not seen a better book.

Good addition to any course
We used this book throughout last year in geometry and I found it to be helpful in having plenty of sample problems of how to use the things we learned in class. The problem some of the previous reviewers had, of not being able to understand, have a teacher issue, not a book issue. If the teacher taught instead of the book they would be fine.

horrible book
it teaches some wierd geometry where the actual theorems have been claimed as postulates. if you'll take a look on page 692 where all "postulates" are listed you'll find that many of them are actually theorems (for examples, "postulates" 10-14 are theorems and have proof based on real axioms which for some wierd reason are not listed in this book at all!)

not helpful AT ALL
I used this book for my sophomore year of geometry.The majority of people in my class squeaked by first semester with a B- - C-.Then come 2nd semester, 90% of the class FAILS, including myself.I'm especially disappointed since my report card says straight As for all my classes except for an Incomplete for geometry.This book, like the previous reviewer said, does not provide enough helpful examples to guide you through the problems.The examples help you through the first few problems which are obviously simple but then you go past the fifth problem and you're totally stuck.I'm currently making up the work I left incomplete.Not because I was lazy, it's because I couldn't understand the book's concept.And so this summer, I'm stuck with this cursed book AGAIN.I need to retake the 2nd semester final all because of this book.Now I know not everyone is gifted with mathematical skills as some others may be.But can't there be a book where EVERYONE can understand?Last year in Algebra, I passed with an A.Because the book was easy to comprehend and provided the student with examples thorough enough to guide you through basically all the problems.I forgot the name of it but the initials of the author were H.M.Houghlin...Mc something.Now THAT's a book I'd take home any day.

The Best!
I used this book for a semester geometry course (covering Chapters 1 through 13), and it was marvelous!Besides the fact that there are no typographical errors, the book flows logically from one chapter to the next.In addition, its early introduction of proofs guarantees a successful continuation and comprehension of the essence of geometry.Moreover, the lettered exercises at the end of each section go from easy to difficult--allowing for a gradual increase in skill.Finally, the logic appendix at the end is a great introduction to proofs and to the mathematical field of logic. ... Read more

Book Description

This book combines mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation) in order to solve the conceptual and technical problems in the combining of elements of combinatorial and numerical algorithms.The book develops methods from areas that are amenable to combination and explains recent breakthrough solutions to meshing that fit into this category. It should be an ideal graduate text for courses on mesh generation.The specific material is selected giving preference to topics that are elementary, attractive, lend themselves to teaching, are useful, and interesting. ... Read more

Book Description

Activities in Geometry is a set of versatile enrichment exercises that covers a very broad range of topics in geometry-Euclidean, post-Euclidean, and non-Euclidean.Several criteria have been used in developing the activities and in selecting the topics that are included.All of them bear heavily, and equally, on our concerns for curriculum goals and classroom management. Each activity is presented as a reproducible student investigation.It is followed by guidelines and notes for the teacher.Each activity is keyed to the National Council of Teachers of Mathematics (NCTM) Standards, Revised.This link to the NCTM standards allows teachers to facilitate linking classroom activities to specific state and school district content standards.First and foremost, the activities are meant to be motivational.As much as possible, we want this book to achieve the goal of being attractive to students and show them that there is much more to geometry that proving theorems.To demonstrate this aspect of geometry, it is necessary for the investigation to be quite different from what students encounter in their basal texts-different in both substance and form.Presenting activities on a regular basis gives the variety and change of pace needed to sustain interest in any subject ... Read more

Book Description

Combinatorics of Finite Geometries is an introductory text on the combinatorial theory of finite geometry.Assuming only a basic knowledge of set theory and analysis, it provides a thorough review of the topic and leads the student to results at the frontiers of research. This book begins with an elementary combinatorial approach to finite geometries based on finite sets of points and lines, and moves into the classical work on affine and projective planes.Later, it addresses polar spaces, partial geometries, and generalized quadrangles.The revised edition contains an entirely new chapter on blocking sets in linear spaces,which highlights some of the most important applications of blocking sets--from the initial game-theoretic setting to their very recent use in cryptography.Extensive exercises at the end of each chapter insure the usefulness of this book for senior undergraduate and beginning graduate students. ... Read more

Book Description

Bob Miller's Geometry for the Clueless tackles a subject more than three million students must face every year. Upbeat and always enthusiastic, Professor Miller acts as a private tutor to his readers, painstakingly covering the current high school curriculum as well as post-secondary courses in geometry. His failsafe methodology makes geometry easy to comprehend, giving the student quick techniques for working through problems in an energetic tone that helps students not only learn the material, but also learn how to think about the discipline. Perfect as a supplemental guide for all geometry courses, Geometry for the Clueless includes:

• Expert tips and techniques for solving difficult problems
• Non-technical language
• A unique way of explaining complex concepts to make learning geometry less daunting

Reviews (3)

Embarrassing...
I picked this up at a local book store, flipped through it quickly, and purchased it on a whim, intending to review my basic geometry skills as I work my way up to more advanced college level mathematics

While reviewing the first 2 chapters, I immediately noticed a few typos, a perfectly obvious mistake in an equation, and a missing diagram to explain the definition of an angle bisector.(I am not a math whiz-- if I can find these mistakes, there's a problem.)I also noticed that the author had a tendency to rage over the evilness of new math and how poorly written student textbooks are these days (This is funny considering how poorly written/edited this book is).

Since I'd already written in the book, I ignored these problems and continued on my quest to understand geometry.I didn't get far.

Throughout the first several chapters the author tends to get sidetracked with poorly written paragraphs devoted to showing the student whether or not their school textbook/instructor is worthless or not.Fine, but what does that have to do with helping a student understand basic concepts so that he/she can pass their exams?

Often, the author's written explanations are so convoluted, they're impossible to understand without re-writing them yourself.

McGraw Hill should be ashamed for printing this.On careful review, say for example, if one was attempting to learn from the book, the book comes off like unedited notes.Also, the layout is appalling.The author is constantly referring to diagrams that either flat out don't exist, or they're found several pages earlier in the text and are not labeled.

I can't get my money back, but you can make sure not to waste yours...
If I could rate this item with negative stars I would.

Does not teach understanding, only Rules.Poorly Edited.
This is the worst geometry book I have ever seen.Being an educator, I thought that this book may provide some useful information for students with misconceptions about geometry.However, the author mostly just rants about the difference between "old/traditional" and "new" math methods.He spends more time trying to convince the reader that his "method" is better than others, when in reality, he is teaching the exact same thing in the exact same way that it is taught in a typical high school classroom.The only difference in his "method" is that he provides a number of geometry "rules".For example, he lists a number of "rules" used to determine if a triangle is equilataral, isosceles, or scalene.Instead of rules, one should learn WHY and WHAT makes a triange fall in one of these catagories (i.e. - understanding, not rules).He seems to want to establish a bunch of rules for things that are not necessary if one can understand conceptually why something is true.Also, the book is poorly edited.There are frequent errors (typos) in his proofs which can cause quite a lot of confusion if you do not know how to do proofs or do not know geometry well enough to discover these errors.How can someone learn when the textbook is wrong?Finally, his material presentation is confusing.Figures are not properly labeled and are often hard find. Once, he talks about "angle A in Figure 2", but I could not find the figure, since it was not labeled.After searching for it, I found the figure 4 pages BEFORE.Why present a figure if you are not going to talk about it on that page?In summary... poorly organized, poorly edited, and not concerned with teaching understanding - it is OK if you are looking for a simple geometry "rule book" but not if you are trying to actually understand geometry.

Funny and useful
This book is great help for those of us who are a little lost when itcomes to math. It's a humorous book but also really helped me learn theGeometry material quickly and easily. My only complaint is that it seemslike it was written for a younger audience. ... Read more

Book Description

The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, it also appears in the newer domains of technology and fractals. In this way, the Golden Section is no isolated phenomenon but rather, in many cases. the first and also the simplest non-trivial example in the context of generalisations leading to further developments. It is the purpose of this book, on the one hand, to describe examples of the Golden Section, and on the other, to show some paths to further extensions. The treatment is informal and the text is enriched by the presence of very illuminating diagrams. Questions are posed at fairly frequent intervals and the answers to these questions, perhaps only in the form of very broad hints for their solution, are gathered together at the end of the text. ... Read more

Reviews (1)

A TOPIC TO TIE IN SEVERAL MATHEMATICAL SUBJECTS
The Golden Section is a very fascinating topic that is applied in several fields, both mathematical and nonmathematical. Why? Because this number primarily focuses on proportion, both in a physical and numerical context.

Somewhat to my chagrin, the author confines this subject within the realm of mathematics. For I wish that the Golden Section was discussed from a thematic or historical standpoint, such as how or why artists such as Da Vinci used this concept in order to construct or create works of art that were well-proportioned.

Nonetheless, the mathematics is delightfully presented. It is sketchy in some areas but is much easier to follow than several of the 50+-year-old-mathematical works that have not been revised or updated. Fascinatingly, this one topic alone synthesizes or ties in several mathematical disciplines, including: fractals, geometry, topology, number theory, trigonometry, and, strangely enough, probability.

I highly recommend this book. It is neat and concise, and it is a great reference for the mathematician who has been out of practice for a while to brush up on his or her skills. ... Read more

Book Description

This book brings together a selection of the best lectures from many graduate workshops held at the Australian National Institute for Theoretical Physics in Adelaide. The lectures presented here describe subjects currently of great interest, generally at the interface between mathematics and physics, and also where suitable expositions did not previously exist at a level suitable for graduate students. Topics covered include quantum groups, the operator algebra approach to the integer quantum Hall effect, solvable lattice models and Hecke algebras, Yangevins, equivariant cohomology and symplectic geometry, and von Neumann invariants of covering spaces. ... Read more

Book Description

The aim of this book is to provide a complete history of pi from the dawn of mathematical time to the present.The story of pi reflects the most seminal, the most serious and sometimes the silliest aspects of mathematics, and a suprising amount of the most important mathematics and mathematicians have contributed to its unfolding. Pi is one of the few concepts in mathematics whose mention evokes a response of recognition and interest in those not concerned professionally with the subject.Yet, despite this, no source book on pi has been published.One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet still accessible, mathematics.Mathematicians and historians of mathematics will find this book indespensable.Teachers at every level from the seventh grade onward will find here ample resources for anything from special topic courses to individual talks and special student projects. The literature on pi included in this source book falls into three classes: first a selection of the mathematical literature of four millennia, second a variety of historial studies or writings on the cultural meaning and significance of the number, and third, a number of treatments on pi that are fanciful, satirical and/or whimsical. In addition to correcting a few minor infelicities, this new edition includes an Appendix in which articles 9 and 12 by Viete and Huygens respectively are translated into English. ... Read more

Book Description

These absorbing essays by a distinguished mathematician provide a compelling demonstration of the charms of mathematics. Stimulating and thought-provoking, this collection is sure to interest students, mathematicians and any math buff with its lucid treatment of geometry and the crucial role geometry plays in a wide range of mathematical applications.
... Read more

Reviews (1)

A splendid legacy of 20th century mathematics
This book collects 12 articles by Coxeter, already published in various mathematics technical journal but would be quite tedious to collect for one's pleasure. Each explains fascinating connections between exceptional discrete groups, polyhedra, graphs, sphere packings, projective spaces. All carry the particular favour of HSM Coxeter mathematics with his love of polyhedra and of their geometry. Starting points are often elementary but conclusions and connections are worthwile aven for today mathematics. I recommend it for graduates in mathematics, especially those interested in group theory, discrete/finite geometry, non-euclidean geometry as a very inspiring book giving a sense of unity in those parts of mathematics. ... Read more