By John Barnes
Книга на основе серий лекций для студентов, направлена на широкий круг читателей.Живая и развлекательная книга доказывает, что далеко не пыльный, тупой предмет, геометрия , на самом деле полна красоты и очарования. Заразительный энтузиазм и иллюстрации от автора, делают доступными сложные темы, такие как Хаос и фракталы, теория относительности Эйнштейна.Based on a chain of lectures for grownup scholars, this energetic and interesting booklet proves that, faraway from being a dusty, uninteresting topic, geometry is in reality jam-packed with attractiveness and fascination. The authors infectious enthusiasm is placed to take advantage of in explaining the various key strategies within the box, beginning with the Golden quantity and taking the reader on a geometric trip through Shapes and Solids, throughout the Fourth measurement, completing with Einsteins Theories of Relativity.Aimed at a basic readership, the textual content makes available advanced matters similar to Chaos and Fractals. It encompasses a wealth of the authors personal illustrations and lines appendices on comparable topics.Equally compatible as a present for a teenager or as a nostalgic trip again into the realm of arithmetic for older readers, John Barnes booklet is the appropriate antidote for someone whose maths classes in class are a resource of painful stories. the place as soon as geometry was once a resource of misunderstanding and frustration, Barnes brings enlightenment and leisure.
By David E. Blair
This moment variation, divided into fourteen chapters, provides a entire therapy of touch and symplectic manifolds from the Riemannian standpoint. The monograph examines the elemental principles intimately and gives many illustrative examples for the reader.
Riemannian Geometry of touch and Symplectic Manifolds, moment Edition offers new fabric in such a lot chapters, yet a specific emphasis continues to be on touch manifolds. New significant subject matters contain a fancy geodesic circulation and the accompanying geometry of the projectivized holomorphic tangent package deal and a fancy model of the targeted instructions mentioned in bankruptcy eleven for the true case. either one of those issues utilize Étienne Ghys's beautiful proposal of a holomorphic Anosov flow.
Researchers, mathematicians, and graduate scholars involved and symplectic manifold idea and in Riemannian geometry will reap the benefits of this paintings. A simple path in Riemannian geometry is a prerequisite.
Reviews from the 1st Edition:
"The booklet . . . can be utilized both as an advent to the topic or as a reference for college kids and researchers . . . [it] supplies a transparent and whole account of the most rules . . . and reviews an unlimited quantity of comparable topics resembling vital sub-manifolds, symplectic constitution of tangent bundles, curvature of touch metric manifolds and curvature functionals on areas of linked metrics." —Mathematical Reviews
"…this is a delightful and beneficial ebook and all geometers will revenue [from] studying it. they could use it for complicated classes, for thesis subject matters in addition to for references. newbies will locate in it an enticing [table of] contents and worthy principles for pursuing their studies." —Memoriile Sectiilor Stiintifice
By Igor Pak
By Giovanni Bellettini
The objective of the e-book is to review a few facets of geometric evolutions, resembling suggest curvature circulation and anisotropic suggest curvature move of hypersurfaces. We learn the foundation of such flows and their geometric and variational nature. essentially the most very important facets of suggest curvature move are defined, equivalent to the comparability precept and its use within the definition of compatible vulnerable strategies. The anisotropic evolutions, which might be regarded as a generalization of suggest curvature stream, are studied from the view element of Finsler geometry. relating singular perturbations, we talk about the convergence of the Allen–Cahn (or Ginsburg–Landau) kind equations to (possibly anisotropic) suggest curvature movement ahead of the onset of singularities within the restrict challenge. We examine such varieties of asymptotic difficulties additionally within the static case, displaying convergence to prescribed curvature-type problems.
Celebrating the paintings of Professor W. Kuperberg, this reference explores packing and overlaying idea, tilings, combinatorial and computational geometry, and convexity, that includes an in depth choice of difficulties compiled on the Discrete Geometry exact consultation of the yank Mathematical Society in New Orleans, Louisiana. Discrete Geometry analyzes packings and treatments with congruent convex our bodies , preparations at the sphere, line transversals, Euclidean and round tilings, geometric graphs, polygons and polyhedra, and solving structures for convex figures. this article additionally bargains study and contributions from greater than 50 esteemed overseas specialists, making it a important addition to any mathematical library.
By J. Weeks
By Prasolov V.V., Sharygin I.F.
By Cristiano Ceccato (auth.), Cristiano Ceccato, Lars Hesselgren, Mark Pauly, Helmut Pottmann, Johannes Wallner (eds.)
By Germano Resconi
The e-book is at the geometry of agent wisdom. the real proposal studied during this ebook is the sphere and its Geometric illustration. To boost a geometrical picture of the gravity , Einstein used Tensor Calculus yet this can be very varied from the data tools used now, as for example suggestions of information mining , neural networks , formal inspiration research ,quantum laptop and different subject matters. the purpose of this e-book is to rebuild the tensor calculus so as to supply a geometrical illustration of agent wisdom. by utilizing a brand new geometry of information we will unify the entire issues which were studied lately to create a bridge among the geometric illustration of the actual phenomena and the geometric illustration of the person and subjective wisdom of the brokers.