Product Description
This introduction to computational geometry focuses on algorithms. Motivation is provided from the application areas as all techniques are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. ... Read more

Customer Reviews (16)

let my money back assp
I didn't order this book...

furthermore i don't saw this book.

How it can be happen?

Now I can't believe ordering system of amazon...

Let my money back asap!!!

Concise reference for computational geometry
This book covers the concepts and algorithms concisely and hence forms a very handy reference to Computational Geometry. You could use this as the starting point for any Comp Geom application and build on that. I am pretty happy with this buy!

Good book, not for a primer
The subject is not easy, so the book is surely not for a primer on graphical programming, even more for a primer on computation and algorithms.
But if you need some very advanced algorithms to solve any computational geometry problem, you'll find it here. Maybe the very latest advances on subject are not present here (a new revision of this book is available, not much news on that, look for the difference on the web).
Thanks to the author, whom I asked a clarification on an algorithm present in the book, and responded in less than 3 hours.

The definitive guide to computational geometry.
When studying computer science, one will encounter a number of books."The Dinosaur Book", Operating System Concepts (7th Edition), "The White Book", Introduction to Algorithms, "The Green Book", Artificial Intelligence: A Modern Approach (2nd Edition) (Prentice Hall Series in Artificial Intelligence), and a select few more.The best way to articulate my satisfaction with this material is to refer to it as "The Blue and Yellow Book."

Each chapter is introduced with a problem.For example, "How would one install cameras on the inside of an art gallery (represented by a polygon) such that each wall can be observed with as few cameras as possible."The chapter then presents the material in a clear, concise fashion, and applies this newfound information to solve said problem.

It could be argued that the book is math heavy; certainly those with a strong grip on linear algebra and geometry will have an easier time, but those without can still grasp the material enough to benefit.For those interested in proofs, there's no shortage in the book, either.

Strongly recommended and a great deal of fun to read.

Excellent Background
This book is extremely well written, easy to understand, and actually is the standard text for Computational Geometry classes, as far as I know.The only thing I didn't like about it was that there seemed to be a few errors in some of the pseudocode.But, it's to be expected when publishing a textbook, and I think it'll probably be cleared up in future editions.

Overall, great book.I'd recommend it to anyone taking graphics or a computational geometry class. ... Read more

Product Description
Compiling data on submanifolds, tangent bundles and spaces, integral invariants, tensor fields, and enterior differential forms, this text illustrates the fundamental concepts, definitions and properties of mechanical and analytical calculus. Also offers some topology and differential calculus. DLC: Geometry--Differential ... Read more

Customer Reviews (4)

Fabulous! Merrill Geometry Applications and Connections
The book is just as described.Seller was quick to ship!Would definitely do business with this seller again!

Merrill GEometry & Applications
Fast service and the book is in excellent condition for a very a good price.

Merrill Geometry Applications and Connections
It was a bit "beat up" but for the price - it was great!

Invalid Proofs, Disorganized Postulates
This book seems to be pretty good until it gets to the proofs section. At that point, it requires you to complete their invalid proofs which take information that are not given to make correct uses of the postulates that they defined. I am still in search of a good Geometry book, and this is not the one. ... Read more

Product Description
An ideal program for struggling students

Geometry: Concepts and Applications covers all geometry concepts using an informal approach. ... Read more

Customer Reviews (4)

"Informal Geometry"
I have not actually previewed this book, but I did want to illuminate why it may be useful for students who struggle with math.

Math is the number one content area that drives literate students (those who can actually read) to drop out of high school.I recently interviewed for a high school math 9/10th grade position where this is the text for "Informal Geometry."

Having taught students for 9 years who were unable to complete high school in a traditional setting, I am relieved to know that an attempt is being made to find a text that such students have a fighting chance at both comprehending and being successful in working through.

We do not all have brilliant mathematical and musical minds, so it is important that the content be able to connect with the mental ability the student has, instead of expecting/forcing a student to work through something they would find incomprehensible, discouraging, and potentially defeating.

Different Books for Different Folks

This is what our honors geometry classes use:Geometry, Student Edition

Great Experience!
After my son was switched from one class to another, we had to purshcase a different textbook quickly. His school bookstore was sold out and were not reodering until next year.Our experience here was suberb.The book arrived quickly and in better condition than described.Customer service was curteous and prompt to questions asked.I would definitely reorder in the future. It was a pleasure doing buisness with a competent and professional company.

Great examples and relatable!
Having taught from this book, I think it's a great curriculum to use with students who aren't interested in theory, but would rather know "why are we doing this?"This book branches out into how geometry is found in culture, such as art, and applied in daily living.If you are more interested in answering students' questions about "when are we ever going to use this?" than you are about writing proofs all the time, this is a perfect book for you.

this is the worst
I love mathematics and read math book of all sorts, including textbooks. I teach music theory (which is similar to math) at the college level, and have been doing so for the last 18 years. This is the worst math book I have ever seen. Where are the brillant proofs of Euclid? This is a hodgepodge of history, so-called music, and diverse topics thrown into one book, that consists of mearly formulaes and prove it yourself theorems. The Pythagorean formula is circular, if you can follow it back far enough. There are no concepts or brillant ideas, only "you do it this way" as in the old calculus books. The authors are all school teachers, with one college teacher (wow). The school teachers have been complaining for years about how bad the "new math" was when the mathematicians wrote the texts; now it is their turn and they have turned my child off to math by their dull pedantic book. I think all schools should review this book before using it. ... Read more

Product Description
Differential geometry has become a standard tool in the analysis of statistical models, offering a deeper appreciation of existing methodologies and highlighting the issues that can be hidden in an algebraic development of a problem. This volume is the first to apply these techniques to econometrics. An introductory chapter provides a brief tutorial for those unfamiliar with the tools of differential geometry. The following chapters offer applications of geometric methods to practical solutions and offer insight into problems of econometric inference. ... Read more

Customer Reviews (6)

Geometry
Thank you for sending the book promptly. Now that I have a book, I have no more excuses for not doing my homework!

Book in good conditions
I got this book in good conditions. It took a while to get here; but, it was on time as they claimed they would ship it. The book was clean.

Glencoe Geometry textbook
Amazing condition, I never have to bring home my school textbook home because i have this one it is a very useful textbook.

excellent!
The condition of the book was excellent and the delivery was sooooooo fast!

I expected more than three weeks for international delivery but I got it in 10 days!! Very Reliable!!

student book glencoe geometry
The book is in good condition and it arrived quickly.Very good price.

hmc ... Read more

Product Description
This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This material is explained in as simple and concrete a language as possible, in a terminology acceptable to physicists. The text for the second edition has been substantially revised. ... Read more

Customer Reviews (3)

Why you should buy this book
There's some great material that professor Novikov presents in this three volume set, indispensible to the mathematician and physicist.What seperates it (and elevates it) from it's numerous competitors in the differential geometry textbook line is the following:

1.He presents pretty much every idea in multiple ways and from multiple viewpoints, illustrating the ubiquity and flexibility of the ideas.
2.He gives concrete examples of the concepts so you can see them in action.The examples are selected from a very wide range of physical problems.
3.He presents the ideas in a formal setting first but then gives them in a form useful for actual computation or working problems one would actually encounter.
4.He segregates the material cleanly into what I would call "algebraic" and "differential" sections.Thus, if you are interested in only a specific viewpoint or topic, you can fairly well read that section independent of the others.The book's chapters are for the most part independent.
5.There is virtually no prerequisite knowledge for this text, and yet it provides enough to not bore even the "sophisticated reader", for even they will no doubt learn something from the elegeant presentation.

I only own the first volume, but I have looked at the others in libraries and I would say for the most part the above holds for them too, making this three-volume set truly a masterpiece, a pearl in the sea of mathematical literature.

Anyone iterested in a readable, relevant, viable introduction to the huge world of differential gometry will not be disappointed.

Best book to begin differential geometry with ..
Written by prominent mathematicians it is the one of the best books on the topic .
The language of the book is very simple so it is suitable for physics ...

Required background reading...
..if you want to understand the much of Arnol'd's book on classical mechanics. Written for physicists in language that physicists can follow, the book starts with advanced calculus (geometry of surfaces and curves in 2D and 3D) and provides a readable and informative introduction to Riemannian geometry, including connections defined by structure coefficients of a Lie algebra, all the way through gauge theories. However, the books by Schutz and by Nakahara cover interesting topics not included here, so see them as well. ... Read more

Product Description
This book develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties.The first part of the book is a self-contained presentation of thebasic combinatorics of Young tableaux, including the remarkable constructions of "bumping" and "sliding", and several interesting correspondences.In Part II the author uses these results to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials.Much of this material has never before appeared in book form.There are numerous exercises throughout, with hints and answers provided. Researchersin representation theory and algebraic geometry as well as in combinatorics will find this book interesting and useful, while students will find the intuitive presentation easy to follow. ... Read more

Customer Reviews (1)

A Fine Synthesis of Combinatorics, Geometry, and Algebra
With his usual lucidity, Fulton brings together the surprisingly wide area of mathematics concerned with Young tableaux.These are combinatorial patterns which index basis vectors of group representations (either of the symmetric group or the general linear group).These vectors can be seen as Plucker coordinate functions on non-linear representations, namely homogeneous spaces (Grassmannians and flag varieties).Thus, Young tableaux form an invaluable tool to examine these representations and varieties in concrete detail.Fulton also gives a good exposition of the combinatorial operations on tableaux which reflect the crystal basis structure from quantum GL(n), though Fulton does not explicitly discuss quantum groups.Other good expositions of these topics, from a more algebraic and combinatorial point of view, are Sagan's newly revised "The Symmetric Group", and Stanley's "Enumerative Combinatorics", Vol 2. ... Read more

Product Description

This book will serve as a valuable source of information about triangulations for the graduate student and researcher. With emphasis on computational issues, it presents the basic theory necessary to construct and manipulate triangulations. In particular, the book gives a tour through the theory behind the Delaunay triangulation, including algorithms and software issues. It also discusses various data structures used for the representation of triangulations.

Customer Reviews (1)

Wow
This is an outstanding book. It is clearly written and goes into great detail. There is source code available that is very well designed and clearly commented.(search for Triangulation Template Library)There are ample illustrations to help you visualize the algorithms.

It is a short book but very complete.It has an academic flavor with definitions, theorems, lemmas and extensive references. There are exercises at the end of the chapters so it was designed to be useful as a textbook for a college computer science course.

I bought it to learn the algorithms and techniques on my own, with an eye toward applying them in geometric modeling for computer games. I found it easy to follow and skipped many of the proofs on the first reading.There are several code snippets throughout the text, some are give in pseudo-code and other are C++.They use OpenGL and GLUT to demonstrate the use of the library.The triangulation library is C++ and not directly tied to OpenGL and should be applicable to Direct3D or other graphics APIs. ... Read more

Product Description
The subjects covered in some detail include normed linear spaces, functions of linear operators, the basic structures of quantum mechanics and an introduction to linear programming. Also discussed are Kahler's metric, the theory of Hilbert polynomials, and projective and affine geometries. This comprehensive volume is unusual in its extensive use of applications in physics to clarify each topic.
This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from most existing textbooks in approach, the work illustrates the various applications and connections of linear algebra with functional analysis, quantum mechanics, and algebraic and differential geometry. ... Read more

Customer Reviews (3)

A VERY disappointing textbook
First of all, I got to say that this is the worst possible textbook a teacher at my school could ever pick as a learning resource. What is even worse is that you have a local teacher as your instructor who can't even teach. A double whammy! Honestly, about 40 percent of students in my class are failing in what is now, the first year of geometry with proof. The teacher (a native local who can't even speak proper english) is already making the task hard for us by teaching us ineffectively, and here is the book which makes our tasks even harder!
This book contains full of errors, (ie: wrong answers in answer key)seems to be outdated(1993),and provides very few lousy examples (compared to my previous books I have studied) to demonstrate a particular concept in geometry. As well as that, some problems in this book are unconventional and ambiguous. Sometimes you see lots of similar questions in the exercise section which are not even explained in the examples section!
For a beginner in geometry with proof, I would most certainly NOT recommend this book at all, although it may be a useful cross reference source (although not recommended). There are tons of better geometry textbooks out there, which are far, far better than this.

Great book
This is a great book. I tried to learn with lots of books before this, but this book makes hard concepts easy and fun to understand. I highly reccomend it.

Many Errors
My son uses this book in his high school geometry class.I have sat down with him many times to help him with his homework.In one chapter alone we found 3 major errors.It is also filled with mind numbingly easy questions or technically unsound questions.I am very frustrated with this book. [It] takes a difficult subject and makes it all the more confusing with poor questions and incorrect answers.I am a math major, but even someone with a basic math education can see the problems in this book. ... Read more

Product Description

This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra.

Topics include:

A Brief History of Geometry

1. Basic Geometry Concepts

2. More about Angles

3. Triangles

4. More about Triangles: Similarity and Congruence

5. Quadrilaterals

6. Polygons

7. Area and Perimeter

8. Circles

9. Volume and Surface Area

10. Basic Trigonometry

Product Description
Basic Math, Algebra and Geometry with Applications provides a spiral approach to developing concepts that enables readers to become familiar with concepts and computations before being asked to progress to the more abstract concept using variables as bases and other types of numbers as exponents. The clear concise language makes it easy to read and examples have line-by-line explanatory comments for each step of the example so readers can easily follow the steps illustrated.The volume provides detailed explanations of whole numbers and decimals, integers, fractions, percents, measurement, area, perimeter, and volume, interpreting and analyzing data, linear equations, powers and polynomials, roots and radicals, formulas and applications, quadratic and higher-degree equations, exponential and logarithmic equations, graphing functions and slope and distance.For nurses, dietitians, job trainers, home schooling professionals and more. ... Read more

Product Description

The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called integrable systems and play important roles in mechanics, physics and differential geometry.

This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the explicit solutions. A basis for using symbolic computations to obtain the explicit exact solutions for many integrable systems is established. Moreover, the behavior of simple and multi-solutions, even in multi-dimensional cases, can be elucidated clearly. The method covers a series of important equations such as various kinds of AKNS systems in R¹⁺ⁿ, harmonic maps from 2-dimensional manifolds, self-dual Yang-Mills fields and the generalizations to higher dimensional case, theory of line congruences in three dimensions or higher dimensional space etc. All these cases are explained in detail. This book contains many results that were obtained by the authors in the past few years.

Product Description
This is an introduction to the theory and applications of modern geometry. It differs from other books in its field in its emphasis on applications and its discussion of Special Relativity as a major example of a non-Euclidean geometry. Besides Special Relativity, it covers two other important ares of non-Euclidean goemetry: spherical geometry (used in navigation and astronomy) and projective geometry (used in art). In addition, it reviews many useful topics from Euclidean geometry, emphasizing transformations, and includes a chapter on conics and planetary orbits. Applications are stressed throughout the book. Every topic is motivated by an application and many additional applications are given in the exercises. The book would be an excellent introduction to higher geometry for those students, especially prospective mathematics and teachers, who need to know how geometry is used in addition to its formal theory. ... Read more

Customer Reviews (2)

Amateurish
Chapter 1 on Euclidean geometry displays the author's poor taste as well as his profound misconception of what it means to prove something. We learn on page 19 that the area of a triangle is (1/2)(base)(height). The only justification for this is that it is "often" clear by cutting and pasting. Fine. We don't have to prove every little thing. But then there follows a "proposition 1.8.1" in which Jennings supposedly "proves", by using this formula, that moving the tip of a triangle along a line parallel to the base doesn't change its area. Jennings is also very fond of isometries and use them to "prove" SAS congruence. Since the discussion of isometries is purely descriptive, with no claims to axiomatic status, this essentially amounts to saying that "the triangles are congruent because I say so", no matter how much it is padded with fancy language (let T be the isometry such that this-and-that, etc.). Although this proof is questionable, at least here Jennings is in the company of Euclid (I.4). But Jennings quickly proves himself unworthy of such dignified company by proving SSS using the cosine theorem, which is certainly not Euclid's proof (I.8). Some other parts of the book are less disastrous, especially when Jennings borrows lots of material from Courant & Robbins and Hilbert & Cohn-Vossen. Still, Jennings almost manages to destroy even these beautiful things through thoroughly tasteless exposition; the proofs typically consist of elaborate justifications of trivial details by mountains of useless symbolism while the key ideas are not addressed at all ("It is important to note that [something completely trivial]: this is because blah, blah, blah, define L(z_4*), blah, blah, blah. It is clear that [important step], so we're done."). It is also ridiculous to claim that "projective geometry blossomed during the eighteenth [century]" (p. 115).

Excellent elementary introduction to modern geometry
I am a Ph.D student in the field of symplectic geometry and topology. This book introduces the foundations of modern geometry in a beautiful and a very clear way,and I am saying this having some experience with geometry and topology books. If you are a skilled high school student or an under graduate student for mathematics or related area,this is a good book to start with in understanding what is modern geometry. The level of the book is about undergraduate level using very elementary notions. The content of the book is: Euclidean geometry and its logical foundations(so one could understand the motivation of the other geometries), Sphirical geometry,conic sections,Projective geometry,and the ending chapter is about the geometrical foundations of special relativity. The approach is not theorem-proof style but rather a more intuitive approch!. This is a recommended book. ... Read more