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Numerical Geometry of Non-Rigid Shapes (Monographs in Computer Science)
Numerical Geometry of Non-Rigid Shapes (Monographs in Computer Science)
Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. In recent years, non-rigid shapes have attracted growing interest, which has led to rapid development of the field,...
Invitation to Noncummutative Geometry
Invitation to Noncummutative Geometry
This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to...
Collision Detection in Interactive 3D Environments
Collision Detection in Interactive 3D Environments
The heart of any system that simulates the physical interaction between objects is collision detectionthe ability to detect when two objects have come into contact. This system is also one of the most difficult aspects of a physical simulation to implement correctly, and invariably it is the main consumer of CPU cycles. Practitioners, new to the...
Riemannian Geometry: A Modern Introduction (Cambridge Studies in Advanced Mathematics)
Riemannian Geometry: A Modern Introduction (Cambridge Studies in Advanced Mathematics)
"Each chapter concludes with an excellent section of notes and advanced exercises with further results, with hints and sketches of solutions at the end of the book...I think that it is the best reference on Riemannian geometry available, especially for someone interested in isoperimetric problems...Chavel is one of about a dozen mathematics...
The Art and Craft of Problem Solving
The Art and Craft of Problem Solving

The newly revised Second Edtion of this distinctive text uniquely blends interesting problems with strategies, tools, and techniques to develop mathematical skill and intuition necessary for problem solving. Readers are encouraged to do math rather than just study it. The author draws upon his experience as a coach for the International...

Automated Deduction in Geometry: 4th International Workshop, ADG 2002, Hagenberg Castle, Austria, September 4-6, 2002
Automated Deduction in Geometry: 4th International Workshop, ADG 2002, Hagenberg Castle, Austria, September 4-6, 2002
Automated deduction in geometry has several roots that go back to developments in the 20th century. These fundamental methods in ADG are the quantifier elimination method of Tarski and Collins, the method of characteristic sets of Ritt and Wu, and the Gröbner basis method of Buchberger. Based on these algorithmic techniques various geometric...
Algebra II For Dummies (Math & Science)
Algebra II For Dummies (Math & Science)
Besides being an important area of math for everyday use, algebra is a passport to studying subjects like calculus, trigonometry, number theory, and geometry, just to name a few. To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math.

Algebra...

Vector Games Math Processors (Wordware Game Math Library)
Vector Games Math Processors (Wordware Game Math Library)
Vector math processors have, up until recently, been in the domain of
the supercomputer, such as the Cray computers. Computers that have
recently joined this realm are the Apple Velocity Engine (AltiVec)
coprocessor of the PowerPC G4 in Macintosh and UNIX computers, as
well as IBM’s Power PC-based Gekko used in the
...
The Large Scale Structure of Space-Time (Cambridge Monographs on Mathematical Physics)
The Large Scale Structure of Space-Time (Cambridge Monographs on Mathematical Physics)
"...an excellent set of reviews of some of the most exciting areas of research in gravitational physics...I have not found a comparable compilation of valuable information on the current status of general relativity." American Scientist

Einstein's General Theory of Relativity leads to two remarkable predictions:
...
Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever
Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever

Mathematical disputes offer indisputable proof that great mathematical minds are calculating in more ways than one. Fueled by greed, jealousy, ambition, and ego, they have plots worthy of a soap opera, pitting brother against brother, father against son, and student against mentor.

In the sixteenth century, Cardano and Tartaglia battled...

The Shape of Space (Pure and Applied Mathematics)
The Shape of Space (Pure and Applied Mathematics)
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging...
Geometric Problems on Maxima and Minima
Geometric Problems on Maxima and Minima
Questions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a...
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