Maximum Principles and Geometric Applications by Luis J. Alías, Paolo Mastrolia, Marco Rigoli

By Luis J. Alías, Paolo Mastrolia, Marco Rigoli

This monograph offers an advent to a few geometric and analytic facets of the utmost precept. In doing so, it analyses with nice aspect the mathematical instruments and geometric foundations had to boost a few of the new types which are offered within the first chapters of the ebook. particularly, a generalization of the Omori-Yau greatest precept to a large type of differential operators is given, in addition to a corresponding vulnerable greatest precept and its identical open shape and parabolicity as a distinct more advantageous formula of the latter.
In the second one half, the eye makes a speciality of a variety of functions, typically to geometric difficulties, but additionally on a few analytic (especially PDEs) questions together with: the geometry of submanifolds, hypersurfaces in Riemannian and Lorentzian goals, Ricci solitons, Liouville theorems, specialty of strategies of Lichnerowicz-type PDEs and so on.
Maximum rules and Geometric Applications is written in a simple type making it available to newbies. The reader is guided with an in depth presentation of a few issues of Riemannian geometry which are often now not lined in textbooks. moreover, a few of the effects or even proofs of recognized effects are new and result in the frontiers of a modern and energetic box of research.

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Differential Geometry of Submanifolds and Its Related Topics by Proceedings of the International Workshop in Honor of S

By Proceedings of the International Workshop in Honor of S Maeda's 60th Birthday

This quantity is a compilation of papers awarded on the convention on differential geometry, specifically, minimum surfaces, actual hypersurfaces of a non-flat advanced house shape, submanifolds of symmetric areas and curve conception. It additionally comprises new effects or short surveys in those parts. This quantity presents basic wisdom to readers (such as differential geometers) who're attracted to the idea of genuine hypersurfaces in a non-flat advanced area shape.

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Brook Taylor’s Work on Linear Perspective: A Study of by Kirsti Andersen

By Kirsti Andersen

The goal of this booklet is to make obtainable the 2 very important yet infrequent works of Brook Taylor and to explain his position within the historical past of linear viewpoint. Taylor's works, Linear viewpoint and New ideas on Linear point of view, are one of the most vital assets within the background of the speculation of point of view. this article makes a speciality of points of this heritage. the 1st is the improvement, beginning at first of the seventeenth century, of a mathematical idea of viewpoint the place talented mathematicians used their creativity to unravel easy difficulties of standpoint and concurrently have been encouraged to think about extra common difficulties within the projective geometry. Taylor used to be one of many key figures during this improvement. the second one element matters the matter of transmitting the information won by way of mathematicians to the practitioners. even though Taylor's books have been mathematical instead of demanding, he used to be the 1st mathematician to achieve making the practitioners attracted to instructing the theoretical origin of standpoint. He turned so vital within the improvement that he was once named "the father of contemporary viewpoint" in England. The English university of Taylor fans contained between others the painter John Kirby and Joseph Highmore and the scientist Joseph Priestley. After its translation to Italian and French within the 1750s, Taylor's paintings turned well known at the continent.

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Methods of Geometry by James T. Smith

By James T. Smith

A realistic, obtainable creation to complex geometry enormously well-written and choked with old and bibliographic notes, equipment of Geometry provides a pragmatic and proof-oriented procedure. the writer develops a variety of topic components at an intermediate point and explains how theories that underlie many fields of complicated arithmetic eventually bring about purposes in technology and engineering. Foundations, simple Euclidean geometry, and adjustments are mentioned intimately and utilized to review complicated airplane geometry, polyhedra, isometries, similarities, and symmetry. a good advent to complex thoughts in addition to a connection with options to be used in self sustaining learn and study, equipment of Geometry additionally features:

Ample routines designed to advertise potent problem-solving strategies
Insight into novel makes use of of Euclidean geometry
More than three hundred figures accompanying definitions and proofs
A finished and annotated bibliography

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Regulators in Analysis, Geometry and Number Theory by Don Blasius, Jonathan Rogawski (auth.), Alexander Reznikov,

By Don Blasius, Jonathan Rogawski (auth.), Alexander Reznikov, Norbert Schappacher (eds.)

This e-book is an outgrowth of the Workshop on "Regulators in research, Geom­ etry and quantity idea" held on the Edmund Landau middle for study in Mathematical research of The Hebrew college of Jerusalem in 1996. through the coaching and the maintaining of the workshop we have been enormously helped through the director of the Landau middle: Lior Tsafriri throughout the time of the making plans of the convention, and Hershel Farkas through the assembly itself. Organizing and working this workshop was once a real excitement, due to the professional technical support supplied through the Landau middle commonly, and through its secretary Simcha Kojman specifically. we wish to specific our hearty because of them all. besides the fact that, the articles assembled within the current quantity don't symbolize the lawsuits of this workshop; neither might all individuals to the e-book make it to the assembly, nor do the contributions herein unavoidably mirror talks given in Jerusalem. within the advent, we define our view of the idea to which this quantity intends to give a contribution. The the most important target of the current quantity is to compile options, tools, and effects from research, differential in addition to algebraic geometry, and quantity concept with a purpose to paintings in the direction of a deeper and extra accomplished knowing of regulators and secondary invariants. Our thank you visit the entire members of the workshop and authors of this quantity. may perhaps the readers of this publication get pleasure from and cash in on the mix of mathematical rules right here documented.

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Conformal Geometry of Discrete Groups and Manifolds by Boris N. Apanasov

By Boris N. Apanasov

This booklet provides a scientific account of conformal geometry of n-manifolds, in addition to its Riemannian opposite numbers. A unifying subject is their discrete holonomy teams. particularly, hyperbolic manifolds, in size three and better, are addressed. The therapy covers additionally suitable topology, algebra (including combinatorial crew conception and kinds of workforce representations), mathematics concerns, and dynamics. growth in those parts has been very speedy sicne the Nineteen Eighties, specially end result of the Thurston geometrization application, resulting in the answer of many tricky difficulties. a robust attempt has been made to show new connections and views within the box and to demonstrate numerous facets of the speculation. An intuitive procedure which emphasizes the information in the back of the structures is complemented by means of loads of examples and figures which either use and aid the reader's geometric mind's eye.

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Mathematical problems and proofs : combinatorics, number by Branislav Kisacanin

By Branislav Kisacanin

A gradual advent to the hugely refined international of discrete arithmetic, Mathematical difficulties and Proofs offers issues starting from user-friendly definitions and theorems to complex subject matters -- similar to cardinal numbers, producing capabilities, homes of Fibonacci numbers, and Euclidean set of rules. this wonderful primer illustrates greater than one hundred fifty suggestions and proofs, completely defined in transparent language. The beneficiant historic references and anecdotes interspersed through the textual content create fascinating intermissions that will gasoline readers' eagerness to inquire extra in regards to the subject matters and a few of our best mathematicians. the writer courses readers via the method of fixing enigmatic proofs and difficulties, and assists them in making the transition from challenge fixing to theorem proving.
without delay a needful textual content and an relaxing learn, Mathematical Problems and Proofs is a wonderful entrée to discrete arithmetic for complicated scholars drawn to arithmetic, engineering, and technology

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