Category: Linear

A First Course in Linear Algebra: With Concurrent Examples by Alan G. Hamilton

By Alan G. Hamilton

It is a brief, readable advent to uncomplicated linear algebra, as frequently encountered in a primary path. the improvement of the topic is built-in with a number of labored examples that illustrate the information and techniques. The layout of the ebook, with textual content and correct examples on dealing with pages implies that the reader can stick with the textual content uninterrupted. the scholar will be capable of paintings throughout the booklet and research from it sequentially. pressure is put on purposes of the equipment instead of on constructing a logical approach of theorems. various workouts are supplied.

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Category: Linear

Bifurcations in piecewise-smooth continuous systems by Simpson D.J.W.

By Simpson D.J.W.

Real-world structures that contain a few non-smooth swap are frequently well-modeled via piecewise-smooth structures. even though there nonetheless stay many gaps within the mathematical conception of such structures. This doctoral thesis offers new effects relating to bifurcations of piecewise-smooth, non-stop, independent platforms of standard differential equations and maps. quite a few codimension-two, discontinuity precipitated bifurcations are opened up in a rigorous demeanour. a number of of those unfoldings are utilized to a mathematical version of the expansion of Saccharomyces cerevisiae (a universal yeast). the character of resonance close to border-collision bifurcations is defined; specifically, the curious geometry of resonance tongues in piecewise-smooth non-stop maps is defined intimately. Neimark-Sacker-like border-collision bifurcations are either numerically and theoretically investigated. A complete heritage part is very easily supplied for people with very little adventure in piecewise-smooth structures.

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Category: Linear

Mengentheoretische Topologie by Boto von Querenburg

By Boto von Querenburg

Eine verständliche und vollständige Einführung in die Mengentheoretische Topologie, die als Begleittext zu einer Vorlesung, aber auch zum Selbststudium für Studenten ab dem three. Semester bestens geeignet ist. Zahlreiche Aufgaben ermöglichen ein systematisches Erlernen des Stoffes, wobei Lösungshinweise bzw. Musterlösungen zu ausgewählten Aufgaben bereitgestellt werden.
In den ersten 10 Kapiteln werden die wichtigen Begriffe und Ergebnisse der Mengentheoretischen Topologie abgehandelt. Daran schließt sich die Untersuchung uniformer Strukturen in Kapitel 11-12 an. Zur Vertiefung werden Funktionenräume, Vervollständigungen und Kompaktifizierungen in Kapitel 13-15 behandelt. Für die Neuauflage wurden fünf zusätzliche Kapitel über topologische Strukturen in topologischen Gruppen sowie ein Abschnitt über die historischen Entwicklungen der Mengentheoretischen Topologie und der topologischen Gruppen zugefügt.

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Category: Linear

Category: Linear

Category: Linear

Category: Linear

Linear Algebra: A First Course with Applications by Larry E. Knop

By Larry E. Knop

Linear Algebra: a primary direction with purposes explores the elemental principles of linear algebra, together with vector areas, subspaces, foundation, span, linear independence, linear transformation, eigenvalues, and eigenvectors, in addition to a number of functions, from inventories to portraits to Google’s PageRank.

Unlike different texts at the topic, this classroom-tested ebook supplies scholars adequate time to take in the cloth by way of targeting vector areas early on and utilizing computational sections as numerical interludes. It deals introductions to Maple™, MATLAB®, and TI-83 Plus for calculating matrix inverses, determinants, eigenvalues, and eigenvectors.

Moving from the categorical to the final, the writer increases questions, offers motivation, and discusses approach sooner than offering solutions. Discussions of motivation and method comprise content material and context to aid scholars learn.

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Category: Linear

Operator algebras: theory of C*-algebras and von Neumann by Bruce Blackadar

By Bruce Blackadar

This ebook is the main accomplished remedy to be had of the overall idea of C*-algebras and von Neumann algebras. starting with the fundamentals, the speculation is constructed via such themes as tensor items, nuclearity and exactness, crossed items, type of injective components, K-theory, finiteness, strong rank, and quasidiagonality.

The presentation concentrates on conscientiously and accurately explaining the most positive factors of every a part of the idea of operator algebras; most vital arguments are no less than defined, and plenty of are offered in complete element, so the quantity is far greater than an insignificant survey.

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Category: Linear

Category: Linear

Linear and Geometric Algebra by Alan Macdonald

By Alan Macdonald

This textbook for the 1st undergraduate linear algebra direction offers a unified therapy of linear algebra and geometric algebra, whereas protecting many of the traditional linear algebra topics.Geometric algebra is an extension of linear algebra. It complements the remedy of many linear algebra issues. And geometric algebra does a lot more.Geometric algebra and its extension to geometric calculus unify, simplify, and generalize significant parts of arithmetic that contain geometric principles. they supply a unified mathematical language for lots of parts of physics, machine technological know-how, and different fields.The publication can be utilized for self examine by means of these pleased with the theorem/proof sort of a arithmetic text.

This is a fourth corrected printing. bankruptcy 6 has been rearranged. there's a new bankruptcy at the conformal version. The bankruptcy is additionally on hand for obtain on the book's internet page.
 
Visit the book's online page at faculty.luther.edu/~macdonal/laga to obtain its desk of contents, preface, and index.

There is a sequel, Vector and Geometric Calculus, by way of an identical author.
See faculty.luther.edu/~macdonal/vagc/

I commend Alan Macdonald for his first-class ebook! His exposition is fresh and spare. He has performed a great activity of engineering a gentle transition from average perspectives of linear algebra to the point of view of geometric algebra. The booklet is satisfactorily traditional to be followed as a textbook by means of an adventurous instructor with out getting flack from colleagues. but it ends up in gem stones of geometric algebra which are more likely to satisfaction considerate scholars and shock even the main skilled instructors.
     -- David Hestenes, uncommon study Professor, Arizona kingdom college

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