Category: Calculus

  • Download E-books Counterexamples in Analysis (Dover Books on Mathematics) PDF

    By Bernard R. Gelbaum

    These counterexamples, prepared in keeping with hassle or sophistication, deal regularly with the a part of research often called "real variables," beginning on the point of calculus. the 1st half the booklet issues services of a true variable; themes contain the genuine quantity procedure, features and boundaries, differentiation, Riemann integration, sequences, endless sequence, uniform convergence, and units and degree at the genuine axis. the second one part, encompassing greater dimensions, examines features of 2 variables, aircraft units, zone, metric and topological areas, and serve as areas. This quantity includes a lot that might end up appropriate for college kids who've no longer but accomplished a primary path in calculus, and considerable fabric of curiosity to extra complicated scholars of study in addition to graduate scholars. 12 figures. Bibliography. Index. Errata.
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  • Download E-books Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics) PDF

    By Morris Kline

    Application-oriented advent relates the topic as heavily as attainable to technology. In-depth explorations of the by-product, the differentiation and integration of the powers of x, and theorems on differentiation and antidifferentiation result in a definition of the chain rule and examinations of trigonometric services, logarithmic and exponential services, options of integration, polar coordinates, even more. simple motives, quite a few drills, illustrative examples. 1967 version. answer advisor on hand upon request.
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  • Download E-books Repetitorium Funktionentheorie: Mit über 200 ausführlich bearbeiteten Prüfungsaufgaben (German Edition) PDF

    By Andreas Herz

    Dieses Repetitorium will den Hörern von Grundvorlesungen in Funktionentheorie helfen, einerseits Wissen gezielt anzueignen, andererseits die praktische Anwendung der Theorie in Übungsaufgaben zu erlernen. Durch eine didaktisch sinnvolle Gliederung des Vorlesungsstoffes, durch Graphiken, Tabellen und Übersichten soll die Theorie übersichtlich dargestellt und leichter erlernbar werden. Anhand der über two hundred detailliert bearbeiteten Aufgaben sollen die Studierenden die Anwendungen der Sätze kennen lernen, sowie Beweis- und Rechenroutinen einüben können.
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  • Download E-books Orthogonal Rational Functions (Cambridge Monographs on Applied and Computational Mathematics) PDF

    By Pablo Gonzalez-Vera, Erik Hendriksen, Olav Njastad

    This quantity generalizes the classical thought of orthogonal polynomials at the advanced unit circle or at the genuine line to orthogonal rational features whose poles are between a prescribed set of complicated numbers. the 1st half treats the case the place those poles are all outdoor the unit disk or within the reduce part aircraft. Classical issues similar to recurrence family members, numerical quadrature, interpolation homes, Favard theorems, convergence, asymptotics, and second difficulties are generalized and handled intimately. an identical themes are mentioned for a distinct scenario the place the poles can be found at the unit circle or at the prolonged genuine line. within the final bankruptcy, a number of purposes are pointed out together with linear prediction, Pisarenko modeling, lossless inverse scattering, and community synthesis. This thought has many functions either in theoretical genuine and complicated research, approximation idea, numerical research, process conception, and electric engineering.
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  • Download E-books Spectral Methods in MATLAB (Software, Environments, Tools) PDF

    By Lloyd N. Trefethen

    This is often the single publication on spectral equipment equipped round MATLAB courses. in addition to finite adjustments and finite parts, spectral tools are one of many 3 major applied sciences for fixing partial differential equations on pcs. due to the fact that spectral equipment contain major linear algebra and photographs they're very compatible for the excessive point programming of MATLAB. This hands-on advent is equipped round 40 brief and robust MATLAB courses, which the reader can obtain from the area vast net. This ebook provides the main rules in addition to many figures, examples, and brief, stylish MATLAB courses for readers to conform to their very own wishes. It covers ODE and PDE boundary worth difficulties, eigenvalues and pseudospectra, linear and nonlinear waves, and numerical quadrature.
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  • Download E-books Theory of Differential Equations III, Vol. 3 (Classic Reprint) PDF

    Excerpt from conception of Differential Equations III, Vol. 3

    The current quantity, constituting half III of this paintings, offers with the speculation of normal linear differential equations. the entire diversity of that thought is just too big to be coated by way of a unmarried quantity; and it includes a number of specific areas that experience no natural relation with each other. for this reason, i've got restricted the dialogue to the one quarter particularly occupied through functions of the idea of capabilities; in enforcing this drawback, my want has been to safe a uniform presentation of the subject.

    As a traditional end result, a lot is passed over that might were incorporated, had my choice approved the devotion of better house to the topic. therefore the formal concept, in its a number of shapes, isn't expounded, retailer as to some issues that come up by the way within the useful thought. The organization with homogeneous kinds is indicated in basic terms slightly.

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    This e-book is a replica of an enormous old paintings. Forgotten Books makes use of cutting-edge know-how to digitally reconstruct the paintings, retaining the unique structure while repairing imperfections found in the elderly reproduction. In infrequent situations, an imperfection within the unique, resembling a blemish or lacking web page, should be replicated in our variation. We do, although, fix the majority of imperfections effectively; any imperfections that stay are deliberately left to maintain the kingdom of such historic works.
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  • Download E-books Fractional Differential Equations, Volume 198: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their ... (Mathematics in Science and Engineering) PDF

    By Igor Podlubny

    This publication is a landmark name within the non-stop stream from integer to non-integer in arithmetic: from integer numbers to actual numbers, from factorials to the gamma functionality, from integer-order types to types of an arbitrary order. For historic purposes, the note 'fractional' is used rather than the be aware 'arbitrary'.
    This publication is written for readers who're new to the fields of fractional derivatives and fractional-order mathematical types, and suppose that they want them for constructing extra sufficient mathematical models.
    In this booklet, not just utilized scientists, but in addition natural mathematicians will locate clean motivation for constructing new equipment and ways of their fields of research.
    A reader will locate during this ebook every little thing beneficial for the preliminary learn and fast software of fractional derivatives fractional differential equations, together with a number of worthwhile unique features, uncomplicated conception of fractional differentiation, strong point and life theorems, analytical numerical equipment of answer of fractional differential equations, and plenty of inspiring examples of applications.

    Key Features
    * a special survey of many functions of fractional calculus
    * provides easy theory
    * contains a unified presentation of chosen classical effects, that are very important for applications
    * offers many examples
    * encompasses a separate bankruptcy of fractional order keep an eye on platforms, which opens new views on top of things theory
    * the 1st systematic attention of Caputo's fractional by-product compared to different chosen approaches
    * contains tables of fractional derivatives, that are used for assessment of all thought of sorts of fractional derivatives
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