Linear and Nonlinear Waves by G. B. Whitham

By G. B. Whitham

Now in an obtainable paperback variation, this vintage paintings is simply as appropriate as while it first seemed in 1974, as a result of elevated use of nonlinear waves. It covers the habit of waves in elements, with the 1st half addressing hyperbolic waves and the second one addressing dispersive waves. The mathematical ideas are provided in addition to examples of particular instances in communications and particular actual fields, together with flood waves in rivers, waves in glaciers, site visitors move, sonic booms, blast waves, and ocean waves from storms.

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Spinors and calibrations by F. Reese Harvey

By F. Reese Harvey

Growth in arithmetic relies on an intensive realizing of the mathematical gadgets into consideration, and but many textbooks and monographs continue to debate common statements and imagine that the reader can and may give you the mathematical infrastructure of examples and counterexamples. This e-book makes a planned attempt to right this case: it's a choice of examples. the next desk of contents describes its breadth and divulges the underlying motivation--differential geometry--in its many features: Riemannian, symplectic, K*adahler, hyperK*adahler, in addition to advanced and quaternionic.

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Lineare Algebra by Prof. Dr. Klaus Jänich (auth.)

By Prof. Dr. Klaus Jänich (auth.)

"Da? ein Einf?hrungstext zur Linearen Algebra bei der st?ndig wachsenden Flut von Lehrb?chern zu diesem weitgehend standardisierten Stoff ?berhaupt noch Besonderheiten bieten kann, ist gewi? bemerkenswert. Um so erstaunlicher, da? die hier schon beim ersten Durchbl?ttern ins Auge springen... (Sie liegen in dem) im Kleindruck beigegebenen "Nebentext", in dem der Autor neben Beweisdetails vor allem "Erl?uterungen, Motivation, gutes Zureden ", historische Hinweise und Aufmunterungen zum Lesen anderer Literatur untergebracht hat... Es wird all das Mehr wiedergegeben, das eine gute Vorlesung gegen?ber einem Lehrbuch im ?blichen Stil (Definition - Satz - Beweis - Beispiel) auszeichnet. Ein anderes charakteristisches Merkmal des Buches besteht in der Unterteilung in einen Kerntext, der die wichtigsten S?tze der Theorie enth?lt, und in Erg?nzungen f?r Mathematiker und f?r Physiker. Am Ende jedes Paragraphen werden dem Erstsemesterstudenten neben ?bungsmaterial auch einfache Testfragen angeboten, an denen er sein Verst?ndnis erproben kann." #Mathematisch-Physikalische-Semesterberichte#1

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Introduction to Subfactors by V. Jones, V. S. Sunder

By V. Jones, V. S. Sunder

Subfactors, an issue of substantial examine task for approximately fifteen years, are identified to have major family with different fields comparable to low dimensional topology and algebraic quantum box conception. The authors current a brand new pictorial method of subfactors as well as discussions of easy ideas. This booklet offers a tremendous advent to the topic and is geared toward scholars with just a little familiarity with the idea of Hilbert area and different novices to the sphere.

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Time-Dependent Switched Discrete-Time Linear Systems: by Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu

By Lixian Zhang, Yanzheng Zhu, Peng Shi, Qiugang Lu

This e-book specializes in the elemental keep watch over and filtering synthesis difficulties for discrete-time switched linear structures lower than time-dependent switching signs. bankruptcy 1, as an advent of the booklet, offers the backgrounds and motivations of switched structures, the definitions of the common time-dependent switching indications, the diversities and hyperlinks to different varieties of structures with hybrid features and a literature evaluate in most cases at the regulate and filtering for the underlying platforms. via summarizing the a number of Lyapunov-like features (MLFs) process during which diverse requisites on comparisons of Lyapunov functionality values at switching instants, a chain of methodologies are constructed for the problems on balance and stabilization, and l2-gain functionality or tube-based robustness for l disturbance, respectively, in Chapters 2 and three. Chapters four and five are dedicated to the keep watch over and filtering difficulties for the time-dependent switched linear structures with both polytopic uncertainties or measurable time-varying parameters in numerous feel of disturbances. The asynchronous switching challenge, the place there's time lag among the switching of the at the moment activated process mode and the controller/filter to be designed, is investigated in bankruptcy 6. The platforms with a number of time delays less than normal time-dependent switching indications are addressed in bankruptcy 7.

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