Lineare Algebra: Eine Einführung in die Wissenschaft der by Albrecht Beutelspacher

By Albrecht Beutelspacher

Dieses Lehrbuch ist leicht verständlich, speziell für Anfänger der Mathematik sowohl im Bachelor- als auch im Lehramtsstudium. Unter den vielen Büchern über Lineare Algebra, die Sie in der Bibliothek oder einer Buchhandlung finden, eignet dieses sich besonders dafür, Ihr erstes Mathematikbuch zu sein.
Der Stil ist locker, lustig, leicht und unterhaltsam. Vor allem wurde versucht, die üblichen k.o.-Schläge, wie etwa "wie guy leicht sieht", "trivialerweise folgt", "man sieht unmittelbar", zu vermeiden.
Durch viele Lernhilfen ist das Buch excellent geeignet zum Selbststudium: Zu jedem Kapitel gibt es zunächst eine Reihe von insgesamt über 250 "ganz dummen" Fragen, die zur unmittelbaren Kontrolle dienen; dann gibt es eine reiche Auswahl von leicht lösbaren Übungsaufgaben und schließlich tiefergehende "Projekte". Alles in allem über three hundred Übungsaufgaben - mit Tipps zu ihrer Lösung. Das Buch liegt nun in einer verbesserten und neu gesetzten Neuauflage vor.

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Matrices, moments, and quadrature with applications by Gene H. Golub

By Gene H. Golub

This computationally orientated booklet describes and explains the mathematical relationships between matrices, moments, orthogonal polynomials, quadrature principles, and the Lanczos and conjugate gradient algorithms. The ebook bridges various mathematical parts to procure algorithms to estimate bilinear kinds regarding vectors and a functionality of the matrix. the 1st a part of the booklet presents the mandatory mathematical historical past and explains the idea. the second one half describes the purposes and provides numerical examples of the algorithms and strategies built within the first part.

Applications addressed within the e-book contain computing parts of features of matrices; acquiring estimates of the mistake norm in iterative tools for fixing linear structures and computing parameters in least squares and overall least squares; and fixing ill-posed difficulties utilizing Tikhonov regularization.

This publication will curiosity researchers in numerical linear algebra and matrix computations, in addition to scientists and engineers engaged on difficulties concerning computation of bilinear forms.

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Tensors: geometry and applications by J. M. Landsberg

By J. M. Landsberg

Tensors are ubiquitous within the sciences. The geometry of tensors is either a strong software for extracting details from info units, and a stunning topic in its personal correct. This booklet has 3 meant makes use of: a lecture room textbook, a reference paintings for researchers within the sciences, and an account of classical and smooth ends up in (aspects of) the idea that would be of curiosity to researchers in geometry. For lecture room use, there's a glossy creation to multilinear algebra and to the geometry and illustration idea had to learn tensors, together with a good number of workouts. For researchers within the sciences, there's details on tensors in desk layout for simple reference and a precis of the state-of-the-art in easy language. this can be the 1st publication containing many classical effects relating to tensors. specific functions taken care of within the ebook contain the complexity of matrix multiplication, P as opposed to NP, sign processing, phylogenetics, and algebraic information. For geometers, there's fabric on secant kinds, G-varieties, areas with finitely many orbits and the way those gadgets come up in functions, discussions of various open questions in geometry bobbing up in functions, and expositions of complex issues similar to the evidence of the Alexander-Hirschowitz theorem and of the Weyman-Kempf technique for computing syzygies

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Linear Algebra and Geometry: Second Course by Irving Kaplansky

By Irving Kaplansky

A popular and influential mathematician who has got quite a few awards wrote this article to treatment a typical failing in educating algebra: the overlook of comparable guideline in geometry. in response to his a long time of expertise as an teacher the college of Chicago, writer Irving Kaplansky offers a coherent evaluate of the correlation among those branches of arithmetic, illustrating his subject matters with an abundance of examples, workouts, and proofs. appropriate for either undergraduate and graduate courses.

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Analysis and geometry on groups by Nicholas T. Varopoulos, L. Saloff-Coste, T. Coulhon

By Nicholas T. Varopoulos, L. Saloff-Coste, T. Coulhon

The geometry and research that's mentioned during this publication extends to classical effects for basic discrete or Lie teams, and the tools used are analytical, yet usually are not interested by what's defined nowadays as genuine research. lots of the effects defined during this e-book have a twin formula: they've got a "discrete model" on the topic of a finitely generated discrete crew and a continual model with regards to a Lie workforce. The authors selected to heart this ebook round Lie teams, yet may well simply have driven it in numerous different instructions because it interacts with the idea of moment order partial differential operators, and chance conception, in addition to with crew thought.

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A Course in Linear Algebra With Applications by Derek J S Robinson

By Derek J S Robinson

The publication is an advent to Linear Algebra with an account of its imperative functions. it's addressed to scholars of arithmetic, the actual, engineering and social sciences, and trade. The reader is thought to have accomplished the calculus series. specific good points of the ebook are thorough insurance of all middle components of linear algebra, with an in depth account of such vital purposes as least squares, platforms of linear recurrences, Markov techniques, and structures of differential equations. The e-book additionally offers an advent to a couple extra complex subject matters reminiscent of diagonalization of Hermitian matrices and Jordan shape. A central objective of the booklet is to make the cloth available to the reader who's now not a mathematician, with out lack of mathematical rigor. this is often mirrored in a wealth of examples, the readability of writing and the association of fabric. there's a starting to be desire for wisdom of linear algebra that is going past the fundamental abilities of fixing structures of linear equations and this booklet is meant to fulfill it.

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Finite element linear and nonlinear, static and dynamic by Jaroslav Mackerle

By Jaroslav Mackerle

A bibliographical assessment of the finite aspect equipment (FEMs) utilized for the linear and nonlinear, static and dynamic analyses of simple structural parts from the theoretical in addition to sensible issues of view is given. The bibliography on the finish of the paper includes 1,726 references to papers, convention lawsuits and theses/dissertations facing the research of beams, columns, rods, bars, cables, Read more...

summary: A bibliographical assessment of the finite point equipment (FEMs) utilized for the linear and nonlinear, static and dynamic analyses of simple structural parts from the theoretical in addition to useful issues of view is given. The bibliography on the finish of the paper comprises 1,726 references to papers, convention lawsuits and theses/dissertations facing the research of beams, columns, rods, bars, cables, discs, blades, shafts, membranes, plates and shells that have been released in 1996-1999

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The extended stochastic integral in linear spaces with by Norin N.V.

By Norin N.V.

Infinite-dimensional research and quantum chance have passed through major advancements initially of the recent millennium and created many purposes. This quantity comprises 4 expository articles on contemporary advancements in quantum box conception, quantum stochastic differential equations, loose likelihood and quantum white noise calculus, that are designated additionally for graduate examine. The 14 examine papers take care of lots of the present themes, and their interconnections mirror a brilliant improvement in interacting Fock house, infinite-dimensional teams, stochastic independence, non-commutative crucial restrict theorems, stochastic geometry, and so forth

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