By Themistocles M. Rassias, Panos M. Pardalos
The contributions during this quantity were written through eminent scientists from the foreign mathematical neighborhood and current major advances in numerous theories, equipment and difficulties of Mathematical research, Discrete arithmetic, Geometry and their purposes. The chapters specialize in either previous and up to date advancements in practical research, Harmonic research, advanced research, Operator thought, Combinatorics, sensible Equations, Differential Equations in addition to quite a few Applications.
The ebook additionally includes a few assessment works, which may end up rather beneficial for a broader viewers of readers in Mathematical Sciences, and particularly to graduate scholars searching for the newest information.
By Jorge Stolfi
Meant for special effects researchers and programmers, and mathematicians operating in computational geometry. This booklet describes orientated projective geometry, a geometrical version that mixes the attractiveness and potency of classical projective geometry with the constant dealing with of orientated traces and planes, signed angles, line segments, convex units, and plenty of different primary geometric computing innovations that classical concept doesn't aid. the purpose of this e-book is to gather a constant, useful and powerful set of instruments for computational geometry that may be utilized by pictures programmers of their daily paintings. based on this aim, formal derivations are saved to a minimal, and lots of definitions and theorems are illustrated with specific examples in a single, , and 3 dimensions
By Victor Guillemin, Shlomo Sternberg
There are many very good texts to be had on semi-classical research. the focal point of the current monograph, notwithstanding, is a side of the topic a bit of much less systematically built in different texts: In semi-classical research, a number of the simple effects contain asymptotic expansions during which the phrases should be computed through symbolic concepts, and the point of interest of this monograph is the “symbol calculus” created hence. specifically, the ideas keen on this symbolic calculus have their origins in symplectic geometry, and the 1st seven chapters of the current paintings are a dialogue of this underlying symplectic geometry.
Another function which differentiates this monograph from different texts is an emphasis at the worldwide facets of the topic: a large amount of time is spent the following exhibiting that the items studied are coordinate-invariant and therefore make experience on manifolds. anyplace attainable, intrinsic coordinate-free descriptions of those gadgets are given.
Topics mentioned comprise wave and warmth hint formulation for globally outlined semi-classical differential operators on manifolds, and equivariant models of those effects concerning Lie workforce activities.
By Yoshihiro Shibata, Yukihito Suzuki
This quantity provides unique papers starting from an experimental learn on cavitation jets to an updated mathematical research of the Navier-Stokes equations at no cost boundary difficulties, reflecting themes featured on the foreign convention on Mathematical Fluid Dynamics, current and destiny, held 11–14 November 2014 at Waseda college in Tokyo. The contributions tackle matters in a single- and two-phase fluid flows, together with cavitation, liquid crystal flows, plasma flows, and blood flows. Written via across the world revered specialists, those papers spotlight the connections among mathematical, experimental, and computational fluid dynamics. The booklet is geared toward a large readership in arithmetic and engineering, together with researchers and graduate scholars drawn to mathematical fluid dynamics.
By Jan Rychtář, Maya Chhetri, Sat Gupta, Ratnasingham Shivaji
This quantity includes conscientiously reviewed papers at the issues awarded via scholars on the 9th Annual collage of North Carolina at Greensboro nearby arithmetic and facts Conference (UNCG RMSC) that happened on November 2, 2013. All papers are coauthored via pupil researchers and their college mentors. This convention sequence was once inaugurated in 2005, and it now draws over a hundred and fifty members from over 30 universities from North Carolina and surrounding states. The convention is particularly adapted for college students to offer their examine initiatives that surround a vast spectrum of themes in arithmetic, mathematical biology, records, and laptop science.
By Hugo Steinhaus
Problems-with instructive solutions-on numbers, equations, polygons, polyhedra, and plenty of different themes. Very demanding. extra thirteen difficulties with out strategies.
By L. E. Maistrov, Samuel Kotz
Chance concept: A ancient cartoon covers the likelihood idea, commonly axiomatization difficulties. The e-book discusses the prehistory of the chance idea; the 1st degree within the improvement of likelihood concept; and the advance of likelihood conception to the center of the nineteenth century. The textual content additionally describes the chance concept within the moment 1/2 the nineteenth century; and the axiomatic foundations of the likelihood concept. Historians and mathematicians will locate the publication beneficial.