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Clifford Algebra to Geometric Calculus: A Unified Language by D. Hestenes, Garret Sobczyk

By D. Hestenes, Garret Sobczyk

I've been operating many years in geometric calculus and that i think this ebook will be in each condo of each geometrist and each person who is intersted in geometric thoughts with physics purposes

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Zwischen zwei Disziplinen: B. L. van der Waerden und die by Martina Schneider

By Martina Schneider

Der niederländischen Mathematiker van der Waerden ist vor allem für seine „Moderne Algebra“ bekannt. Im vorliegenden Buch steht jedoch ein bisher weitgehend unerforscht gebliebenes Interessensgebiet dieses vielseitigen Wissenschaftlers im Mittelpunkt: seine Beiträge zur gruppentheoretischen Methode in der Quantenmechanik um 1930. Ihre Entstehungsgeschichte, ihr Inhalt sowie ihre Wirkung werden von der Autorin detailliert herausgearbeitet, und im Vergleich mit den Herangehensweisen von Wigner und Weyl kommt van der Waerdens pragmatischer Stil zum Vorschein. Zugleich wird die damalige Kontroverse um den Nutzen der gruppentheoretischen Methode in ihrer ganzen Breite erörtert. Nicht nur die Vielschichtigkeit von Mathematisierungsprozessen tritt hierbei offen zutage, sondern auch ihre Rückwirkung auf Entwicklungen in der „reinen“ Mathematik.

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Algebra: Polynomials, Galois Theory and Applications by Frédéric Butin

By Frédéric Butin

Suitable for complex undergraduates and graduate scholars in arithmetic and machine technological know-how, this distinctive, self-contained therapy of Galois thought positive factors special proofs and whole suggestions to routines. initially released in French as Algèbre — Polynômes, théorie de Galois et functions informatiques, this 2017 Dover Aurora variation marks the volume's first English-language publication.
The three-part therapy starts by way of delivering the basic advent to Galois idea. the second one half is dedicated to the algebraic, general, and separable Galois extensions that represent the guts of the speculation and examines abelian, cyclic, cyclotomic, and radical extensions. This part permits readers to obtain a accomplished figuring out of the Galois team of a polynomial. The 3rd half bargains with functions of Galois idea, together with first-class discussions of numerous very important real-world purposes of those rules, together with cryptography and error-control coding idea. Symbolic computation through the Maple laptop algebra approach is integrated through the textual content (though different software program of symbolic computation can be used as well), in addition to a number of very fascinating routines with complete solutions.

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Ordered Banach spaces by Richard Becker

Cardinal Invariants on Boolean Algebras by J. Donald Monk

By J. Donald Monk

From experiences:

"This publication is an essential instrument for somebody operating in Boolean algebra, and can also be prompt for set-theoretic topologists." - Zentralblatt MATH

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Elliptic curves and big Galois representations by Daniel Delbourgo

By Daniel Delbourgo

The mathematics houses of modular types and elliptic curves lie on the middle of recent quantity idea. This publication develops a generalisation of the strategy of Euler structures to a two-variable deformation ring. The ensuing conception is then used to review the mathematics of elliptic curves, specifically the Birch and Swinnerton-Dyer (BSD) formulation. 3 major steps are defined: the 1st is to parametrise 'big' cohomology teams utilizing (deformations of) modular symbols. Finiteness effects for giant Selmer teams are then proven. eventually, at weight , the mathematics invariants of those Selmer teams let the keep watch over of information from the BSD conjecture. because the first booklet at the topic, the fabric is brought from scratch; either graduate scholars quantity theorists will locate this an amazing creation. fabric on the very leading edge of present learn is incorporated, and numerical examples inspire the reader to interpret summary theorems in concrete circumstances.

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Elements of Functional Analysis by L.A.; Sobolev, V.J. Lusternik

Combinatorial Group Theory by Benjamin Fine, Anthony Gaglione, Francis C. Y. Tang (ed.)

By Benjamin Fine, Anthony Gaglione, Francis C. Y. Tang (ed.)

The AMS designated consultation on Combinatorial team Theory---Infinite teams, held on the collage of Maryland in April 1988, used to be designed to attract jointly researchers in a number of parts of countless staff concept, in particular combinatorial staff conception, to proportion tools and effects. The consultation mirrored the energy and pursuits in endless crew thought, with eighteen audio system proposing lectures protecting quite a lot of group-theoretic issues, from in basic terms logical inquiries to geometric tools. The heightened curiosity in classical combinatorial staff idea used to be mirrored within the sheer quantity of labor provided throughout the consultation.

This booklet includes eighteen papers awarded in the course of the consultation. Comprising a mixture of natural study and exposition, the papers might be sufficiently comprehensible to the nonspecialist to show a feeling of the course of this box. although, the quantity can be of particular curiosity to researchers in limitless crew conception and combinatorial workforce thought, to boot as to these attracted to low-dimensional (especially three-manifold) topology

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Orlik-Solomon Algebras of Hyperplane Arrangements by Lionel Levine

Elements de Mathematique. Algebre commutative. Chapitre 10 by N. Bourbaki

By N. Bourbaki

Les ?‰l?©ments de math?©matique de Nicolas Bourbaki ont pour objet une pr?©sentation rigoureuse, syst?©matique et sans pr?©requis des math?©matiques depuis leurs fondements.

Ce quantity du Livre d Alg??bre commutative, septi??me Livre du trait?©, est l. a. continuation des chapitres ant?©rieurs. Il introduit notamment les notions de profondeur et de lissit?©, fondamentales en g?©ometrie alg?©brique. Il se termine par l creation des modules dualisants et de l. a. dualit?© de Grothendieck.

Ce quantity est paru en 1998.

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