By Giovanni Landi
Those notes arose from a chain of introductory seminars on noncommutative geometry the writer gave on the college of Trieste. they're customarily an advent to Connes' noncommutative geometry and will function a "first relief package" ahead of one ventures into the gorgeous yet bewildering panorama of Connes' idea. the most distinction with different on hand introductions to Connes' paintings is the emphasis on noncommutative areas noticeable as concrete areas. vital examples of noncommutative areas are supplied by way of noncommutative lattices. The latter are topic of in depth paintings the writer is doing in collaboration with others. those notes also are intended to be an creation to those researches.
By Gui-Qiang G. Chen, Michael Grinfeld, R. J. Knops
This publication examines the fascinating interface among differential geometry and continuum mechanics, now known as being of accelerating technological importance. subject matters mentioned contain isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, using manifolds within the description of microstructure in continuum mechanics, experimental dimension of microstructure, defects, dislocations, floor energies, and nematic liquid crystals. Compensated compactness in partial differential equations can also be treated.
The quantity is meant for experts and non-specialists in natural and utilized geometry, continuum mechanics, theoretical physics, fabrics and engineering sciences, and partial differential equations. it's going to even be of curiosity to postdoctoral scientists and complex postgraduate examine students.
These complaints comprise revised written types of the vast majority of papers awarded by way of top specialists on the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers were peer reviewed.
By Piotr Mikusinski, Michael D. Taylor
Multivariable research is a vital topic for mathematicians, either natural and utilized. except mathematicians, we predict that physicists, mechanical engi neers, electric engineers, platforms engineers, mathematical biologists, mathemati cal economists, and statisticians engaged in multivariate research will locate this publication tremendous priceless. the fabric offered during this paintings is prime for experiences in differential geometry and for research in N dimensions and on manifolds. it's also of curiosity to a person operating within the parts of normal relativity, dynamical platforms, fluid mechanics, electromagnetic phenomena, plasma dynamics, keep an eye on conception, and optimization, to call in simple terms a number of. An prior paintings entitled An creation to research: from quantity to indispensable through Jan and Piotr Mikusinski used to be dedicated to reading features of a unmarried variable. As indicated by means of the identify, this current e-book concentrates on multivariable research and is totally self-contained. Our motivation and method of this helpful topic are mentioned under. A cautious learn of study is tough sufficient for the common scholar; that of multi variable research is a good larger problem. by some means the intuitions that served so good in measurement I develop susceptible, even dead, as one strikes into the alien territory of size N. Worse but, the very helpful equipment of differential types on manifolds provides specific problems; as one reviewer famous, it kind of feels as if the extra accurately one offers this equipment, the tougher it's to understand.
By J.L. Koszul, S. Ramanan
By Michael Spivak
Booklet via Michael Spivak, Spivak, Michael
By James I.M. (ed.)
By Michael Spivak
Ebook via Michael Spivak, Spivak, Michael
By Luigi Ambrosio
The booklet is dedicated to the speculation of gradient flows within the normal framework of metric areas, and within the extra particular surroundings of the gap of likelihood measures, which offer a shocking hyperlink among optimum transportation idea and plenty of evolutionary PDE's with regards to (non)linear diffusion. specific emphasis is given to the convergence of the implicit time discretization process and to the mistake estimates for this discretization, extending the good tested conception in Hilbert areas. The booklet is divided in major elements that may be learn independently of one another.
By Takushiro Ochiai, Toshiki Mabuchi, Yoshiaki Maeda, Junjiro Noguchi, Alan Weinstein
This quantity is devoted to the reminiscence of Shoshichi Kobayashi, and gathers contributions from individual researchers engaged on themes with reference to his learn parts. The ebook is geared up into 3 components, with the 1st half proposing an outline of Professor Shoshichi Kobayashi’s occupation. this can be via expository path lectures (the moment half) on fresh issues in extremal Kähler metrics and price distribution conception, on the way to be beneficial for graduate scholars in arithmetic drawn to new themes in advanced geometry and intricate research. finally, the 3rd a part of the amount collects authoritative study papers on differential geometry and intricate analysis.
Professor Shoshichi Kobayashi used to be a famous overseas chief within the parts of differential and complicated geometry. He contributed an important principles which are nonetheless thought of primary in those fields. The ebook can be of curiosity to researchers within the fields of differential geometry, complicated geometry, and a number of other complicated variables geometry, in addition to to graduate scholars in mathematics.
By Sorin Dragomir
A good reference for somebody desiring to envision houses of harmonic vector fields to assist them remedy learn difficulties. The booklet offers the most result of harmonic vector fields with an emphasis on Riemannian manifolds utilizing previous and latest difficulties to aid you in reading and furnishing your personal end for extra learn. It emphasizes a mix of theoretical improvement with sensible functions for a great remedy of the topic beneficial to these new to investigate utilizing differential geometric tools in large detail.A useful gizmo for any scientist accomplishing learn within the box of harmonic analysisProvides functions and smooth strategies to challenge fixing a transparent and concise exposition of differential geometry of harmonic vector fields on Reimannian manifoldsPhysical purposes of Geometric tools