Download Duration and Bandwidth Limiting: Prolate Functions, by Jeffrey A. Hogan,Joseph D. Lakey PDF

By Jeffrey A. Hogan,Joseph D. Lakey

Increasingly very important within the box of communications, the examine of time and band limiting is an important for the modeling and research of multiband signs. This concise yet entire monograph is the 1st to be committed particularly to this subdiscipline, delivering an intensive research of its concept and purposes. via state of the art numerical tools, it develops the instruments for purposes not just to communications engineering, but additionally to optical engineering, geosciences, planetary sciences, and biomedicine. 

With broad coverage and a cautious stability among rigor and clarity, Duration and Bandwidth Limiting is a particularly original and valuable resource either for mathematicians drawn to the sector and for pro engineers with an curiosity in conception. whereas its major target market is practising scientists, the publication can also function beneficial supplemental interpreting fabric for mathematically-based graduate classes in communications and sign processing.

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Download Dynamic Data Assimilation: A Least Squares Approach by John M. Lewis,S. Lakshmivarahan,Sudarshan Dhall PDF

By John M. Lewis,S. Lakshmivarahan,Sudarshan Dhall

Dynamic facts assimilation is the evaluation, mix and synthesis of observational facts, clinical legislation and mathematical types to figure out the kingdom of a fancy actual approach, for example as a initial step in making predictions in regards to the system's behaviour. the subject has assumed expanding value in fields reminiscent of numerical climate prediction the place conscientious efforts are being made to increase the time period of trustworthy climate forecasts past the few days which are shortly possible. This ebook is designed to be a simple one-stop reference for graduate scholars and researchers. it really is according to graduate classes taught over a decade to mathematicians, scientists, and engineers, and its modular constitution contains some of the viewers standards. therefore half I is a huge creation to the heritage, improvement and philosophy of knowledge assimilation, illustrated by way of examples; half II considers the classical, static techniques, either linear and nonlinear; and half III describes computational thoughts. components IV to VII are interested by how statistical and dynamic principles will be integrated into the classical framework. Key issues lined right here contain estimation concept, stochastic and dynamic types, and sequential filtering. the ultimate half addresses the predictability of dynamical structures. Chapters finish with a piece that gives tips to the literature, and a collection of workouts with instructive hints.

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Download Numerical Analysis for Engineers and Scientists by G. Miller PDF

By G. Miller

notable a stability among idea and perform, this graduate-level textual content is ideal for college kids within the technologies. the writer presents a transparent advent to the classical equipment, how they paintings and why they usually fail. Crucially, he additionally demonstrates how those uncomplicated and classical recommendations could be mixed to handle tricky difficulties. Many labored examples and pattern courses are supplied to aid the reader make functional use of the subject matter. additional mathematical history, if required, is summarized in an appendix. themes lined comprise classical tools for linear structures, eigenvalues, interpolation and integration, ODEs and knowledge becoming, and likewise extra smooth principles like adaptivity and stochastic differential equations.

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Download Aufgabensammlung Mathematik. Band 2: Analysis mehrerer by Herbert Wallner PDF

By Herbert Wallner

Der zweite Teil dieser Aufgabensammlung umfasst einen großen Vorrat an Beispielen aus research mehrerer Variablen, Vektoranalysis, Gewöhnlichen Differentialgleichungen und Integraltransformationen. Wie bei Band 1 werden für jedes Teilgebiet zunächst die zum Bearbeiten der nachfolgenden Aufgaben erforderlichen Grundlagen kurz zusammengefasst und anschließend jeweils eine Reihe speziell ausgewählter Beispiele ausführlich gelöst. In einem weiteren Abschnitt werden Aufgaben mit Lösungen angegeben. In einem abschließenden Kapitel behandelt der Autor Aufgabenstellungen aus Technik und Physik.

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Download ECOMath 1 Mathematik für Wirtschaftswissenschaftler by Hans M. Dietz PDF

By Hans M. Dietz

ECOMATH richtet sich an Studierende der Wirtschaftswissenschaften und verwandter Studiengänge. Basierend auf langjährigen Erfahrungen des Autors aus Vorlesungszyklen zur „Mathematik für Wirtschaftswissenschaftler' an der Universität Paderborn, vermittelt es die mathematischen Kenntnisse, die für ein erfolgreiches Bachelor- und Master-Studium unerlässlich sind. Band I (von three Bänden) behandelt vor allem Methoden der eindimensionalen reellen research (reelle Funktionen, Differential- und Integralrechnung, Extrem-wertprobleme) mit ökonomischen Anwendungen. ECOMATH will zeigen, wie Mathematik auf hohem Niveau schnell, effizient und mit Freude in der Ökonomie angewendet wird. Der Einstieg ist mit geringen schulischen Vorkenntnissen möglich. Zahlreiche vierfarbige Abbildungen und Übersichten visualisieren den Stoff. Ausführliche Erläuterungen und viele Übungsaufgaben erleichtern das Verständnis.

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Download Introductory Lectures on Fluctuations of Lévy Processes with by Andreas Kyprianou PDF

By Andreas Kyprianou

This textbook types the foundation of a graduate path at the idea and functions of Lévy procedures, from the viewpoint in their course fluctuations. The publication goals to be mathematically rigorous whereas nonetheless supplying an intuitive believe for underlying rules. the consequences and functions usually concentrate on the case of Lévy procedures with jumps in just one path, for which fresh theoretical advances have yielded the next measure of mathematical transparency and explicitness.

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Download Real Mathematical Analysis (Undergraduate Texts in by Charles C. Pugh PDF

By Charles C. Pugh

Based on an honors path taught through the writer at UC Berkeley, this creation to undergraduate actual research provides a unique emphasis by way of stressing the significance of images and difficult difficulties. themes contain: a common building of the genuine numbers, 4-dimensional visualization, uncomplicated point-set topology, functionality areas, multivariable calculus through differential kinds (leading to an easy facts of the Brouwer fastened element Theorem), and a pictorial remedy of Lebesgue idea. Over a hundred and fifty special illustrations elucidate summary options and salient issues in proofs. The exposition is casual and secure, with many useful asides, examples, a few jokes, and low reviews from mathematicians, akin to Littlewood, Dieudonné, and Osserman. This booklet therefore succeeds in being extra entire, extra understandable, and extra stress-free, than ordinary introductions to analysis.

New to the second one variation of Real Mathematical Analysis is a presentation of Lebesgue integration performed nearly totally utilizing the undergraph procedure of Burkill. Payoffs comprise: concise photograph proofs of the Monotone and ruled Convergence Theorems, a one-line/one-picture evidence of Fubini's theorem from Cavalieri’s precept, and, in lots of instances, the power to see an indispensable consequence from degree idea. The presentation contains Vitali’s protecting Lemma, density issues — that are not often handled in books at this point — and the just about in every single place differentiability of monotone services. numerous new routines now subscribe to a suite of over 500 workouts that pose fascinating demanding situations and introduce precise themes to the coed a fan of learning this gorgeous subject.

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Download Elements of Real Anyalsis by M.D. Raisinghania PDF

By M.D. Raisinghania

This booklet is an try to make presentation of components of genuine research extra lucid. The ebook includes examples and workouts intended to aid a formal realizing of the textual content. For B.A., B.Sc. and Honours (Mathematics and Physics), M.A. and M.Sc. (Mathematics) scholars of varied Universities/ Institutions.As in keeping with UGC version Curriculum and for I.A.S. and numerous different aggressive exams.

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Download Mathematik für die berufliche Oberschule (Springer-Lehrbuch) by Walter Schneider PDF

By Walter Schneider

Das Buch behandelt die Bereiche research, Analytische Geometrie sowie Stochastik, wie sie im Lehrplan der beruflichen Oberschule Fachrichtung Technik und Nichttechnik für die Klassen eleven bis thirteen im bayrischen Lehrplan vorgegeben sind. Es ist damit nicht nur für Prüfungsvorbereitungen bestens geeignet, sondern bereitet den Leser auch durch einen der Hochschulmathematik ähnlichen Stil bestens auf das Studium vor. Ergänzend zur formalen Darstellung von Definitionen und Sätzen werden diese meist ausführlich verbal erläutert und durch eine Vielzahl von Abbildungen illustriert. Formale Beweise werden dann gegeben, wenn sie beispielhaften Charakter besitzen, ansonsten wird konsequent anschaulich argumentiert. Auf ideale paintings und Weise baut das Buch die Brücke zwischen Schul- und Hochschul-Mathematik und ist damit sowohl als Repetitorium (für Schüler) wie auch als Brückenkurs bzw. Begleitlektüre für das erste Studiensemester bestens geeignet.

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Download Sampling Theory, a Renaissance: Compressive Sensing and by Götz E. Pfander PDF

By Götz E. Pfander

Reconstructing or approximating gadgets from doubtless incomplete info is a widespread problem in arithmetic, technological know-how, and engineering. a mess of instruments designed to get better hidden details are according to Shannon’s classical sampling theorem, a crucial pillar of Sampling idea. The starting to be have to successfully receive specific and adapted electronic representations of advanced items and phenomena calls for the maturation of accessible instruments in Sampling thought in addition to the advance of complementary, novel mathematical theories. this day, examine issues corresponding to Compressed Sensing and body concept re-energize the huge sector of Sampling concept. This quantity illustrates the renaissance that the realm of Sampling idea is presently experiencing. It touches upon trendsetting parts similar to Compressed Sensing, Finite Frames, Parametric Partial Differential Equations, Quantization, Finite cost of Innovation, procedure idea, in addition to sampling in Geometry and Algebraic Topology.

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