Download e-book for iPad: Mathematische Probleme lösen mit Maple: Ein Kurzeinstieg by Thomas Westermann

By Thomas Westermann

Buch und CD-ROM ermöglichen es, ohne Vorkenntnisse das Computeralgebra-System MAPLE zu nutzen, um elementare mathematische Probleme am machine zu lösen. Sie liefern einen schnellen Zugriff auf die Lösung mit der Beschreibung der zugehörigen MAPLE-Befehle. Besondere Vorteile: Alle Probleme werden exemplarisch behandelt.


Die flexiblen elektronischen Arbeitsblätter können an die eigenen Problemstellungen einfach angepasst werden. Die übersichtliche Struktur der einzelnen Abschnitte:


- Jedes Thema wird mathematisch beschrieben.


- Das challenge wird mit MAPLE gelöst.


- Die Syntax des MAPLE-Befehls wird erläutert.


- Ein Beispielaufruf wird angegeben.


- Hinweise behandeln Besonderheiten des Befehls oder der Ausgabe.


Neu in der zweiten Auflage: zusätzlich über 20 Themengebiete aus der elementaren Mathematik, jetzt eigenes Kapitel für "Umformung von Ausdrücken", Kapitel "Programmieren mit MAPLE" völlig neu aufgenommen, sämtliche Arbeitsblätter an MAPLE9 angepasst, Textverbesserungen und ausführlichere Hinweise bei den Befehlen.


Die CD-ROM enthält neben den über a hundred and twenty im textual content gelösten Problemen viele weitere Beispiele. Inhaltsverzeichnis und Index ermöglichen eine übersichtliche und benutzerfreundliche Navigation auf der CD-ROM zum gezielten Aufsuchen der Themen und der MAPLE-Worksheets.

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Scientific Computing with MATLAB, Second Edition - download pdf or read online

By Dingyu Xue,YangQuan Chen

Enhance Your scholars’ Mathematical Problem-Solving skill


Scientific Computing with MATLAB®, moment Edition improves scholars’ skill to take on mathematical difficulties. It is helping scholars comprehend the mathematical history and locate trustworthy and exact recommendations to mathematical issues of using MATLAB, warding off the tedious and intricate technical info of arithmetic. This variation keeps the constitution of its predecessor Solving utilized Mathematical issues of MATLAB® whereas increasing and updating the content material of every chapter.



Based at the authors’ huge educating, learn, and commercial stories, the textual content adheres to the subsequent path sequence:




  • An evaluate of the pc languages compatible for mathematics

  • Fundamentals of MATLAB programming

  • Calculus problems

  • Linear algebra problems

  • Integral transforms and complicated variable functions

  • Nonlinear equations and optimization problems

  • Differential equations problems

  • Data interpolation and sensible approximation problems

  • Probability and facts problems

  • Nontraditional equipment, corresponding to fuzzy common sense, tough units, neural networks, evolution algorithms, wavelets, and fractional calculus


The ebook bridges the distance among difficulties and options via well-grouped issues and transparent MATLAB instance scripts and reproducible MATLAB-generated plots. scholars can easily test with the scripts for a deep, hands-on exploration. every one bankruptcy additionally contains a set of difficulties to bolster knowing of the material.

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Download PDF by George A. Anastassiou,Razvan Mezei: Numerical Analysis Using Sage (Springer Undergraduate Texts

By George A. Anastassiou,Razvan Mezei

This is the 1st numerical research textual content to exploit Sage for the implementation of algorithms and will be utilized in a one-semester path for undergraduates in arithmetic, math schooling, laptop science/information expertise, engineering, and actual sciences. the first objective of this article is to simplify knowing of the theories and concepts from a numerical analysis/numerical equipment direction through a contemporary programming language like Sage. other than the presentation of basic theoretical notions of numerical research in the course of the textual content, every one bankruptcy concludes with numerous workouts which are orientated to real-world software. solutions will be tested utilizing Sage.

The awarded code, written in middle parts of Sage, are backward suitable, i.e., simply appropriate to different software program structures similar to Mathematica®. Sage is open resource software program and makes use of Python-like syntax. earlier Python programming adventure isn't a demand for the reader, notwithstanding familiarity with any programming language is a plus. furthermore, the code should be written utilizing any internet browser and is for that reason valuable with Laptops, capsules, iPhones, Smartphones, and so on. All Sage code that's provided within the textual content is overtly on hand on SpringerLink.com.

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Spectral and High Order Methods for Partial Differential by Mejdi Azaïez,Henda El Fekih,Jan S. Hesthaven PDF

By Mejdi Azaïez,Henda El Fekih,Jan S. Hesthaven

The ebook features a choice of prime quality papers, selected among the finest shows throughout the foreign convention on Spectral and High-Order tools (2012), and gives an outline of the depth and breath of the actions inside this significant examine zone. The conscientiously reviewed choice of the papers will give you the reader with a photograph of state of the art and support start up new learn instructions throughout the wide bibliography.

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Download e-book for kindle: Mathematics for the Analysis of Algorithms (Modern by Daniel H. Greene,Donald E. Knuth

By Daniel H. Greene,Donald E. Knuth

This monograph collects a few primary mathematical thoughts which are required for the research of algorithms. It builds at the basics of combinatorial research and complicated variable thought to offer the various significant paradigms utilized in the proper research of algorithms, emphasizing the more challenging notions. The authors disguise recurrence kinfolk, operator equipment, and asymptotic research in a structure that's concise sufficient for simple reference but precise sufficient for people with little heritage with the material.

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Download e-book for iPad: Numerical Mathematics and Advanced Applications ENUMATH by Bülent Karasözen,Murat Manguoğlu,Münevver

By Bülent Karasözen,Murat Manguoğlu,Münevver Tezer-Sezgin,Serdar Göktepe,Ömür Uğur,Serdar Goktepe

the ecu convention on Numerical arithmetic and complex functions (ENUMATH), held each 2 years, presents a discussion board for discussing contemporary advances in and points of numerical arithmetic and clinical and commercial functions. the former ENUMATH conferences came about in Paris (1995), Heidelberg (1997), Jyvaskyla (1999), Ischia (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011) and Lausanne (2013).

This booklet provides a variety of invited and contributed lectures from the ENUMATH 2015 convention, which used to be organised by way of the Institute of utilized arithmetic (IAM), heart East Technical collage, Ankara, Turkey, from September 14 to 18, 2015. It bargains an summary of principal fresh advancements in numerical research, computational arithmetic, and functions within the type of contributions through major specialists within the field.

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Download e-book for kindle: Numerik für Ingenieure, Physiker und Informatiker (German by Günter Bärwolff

By Günter Bärwolff

Dieses Lehrbuch wendet sich hauptsächlich an Studierende der Ingenieur- und Naturwissenschaften sowie der Informatik, aber auch an in der angewandten Praxis tätige Absolventen dieser Disziplinen.

Es wird ein weites Spektrum von verschiedenen Themenfeldern behandelt, von der numerischen Lösung linearer Gleichungssysteme über Eigenwertprobleme, numerische Integration bis hin zu gewöhnlichen und partiellen Differentialgleichungen. Dabei werden jeweils die Methoden diskutiert, die den spezifischen Anforderungen typischer Aufgabenstellungen in der Praxis entsprechen.

Der Autor stellt die Themen in einer Weise dar, die sowohl den wesentlichen mathematischen Hintergrund klar macht, als auch eine unkomplizierte Umsetzung auf praktische Aufgabenstellungen bzw. die Realisierung auf dem computing device ermöglicht.

Vorausgesetzt werden beim Leser lediglich Grundkenntnisse in der Höheren Mathematik, wie sie im Grundstudium für die genannten Fachrichtungen vermittelt werden, wobei einige wichtige Aussagen aus research und linearer Algebra wiederholt werden.

Zu den behandelten Methoden werden octave-Programme angegeben und zum obtain angeboten, so dass der Leser in die Lage versetzt wird, konkrete Aufgabenstellungen zu bearbeiten. Mehr als 60 Übungsaufgaben mit Lösungen im net erleichtern die Aneignung des Lernstoffes.

Die vorliegende 2. Auflage ist vollständig durchgesehen und um Abschnitte zu den beiden Themen Numerik von Erhaltungsgleichungen (hyperbolischen Differentialgleichungen erster Ordnung) und Singulärwertzerlegung ergänzt.

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Download PDF by Bjorn Gustafsson,Razvan Teodorescu,Alexander Vasiliev: Classical and Stochastic Laplacian Growth (Advances in

By Bjorn Gustafsson,Razvan Teodorescu,Alexander Vasiliev

This monograph covers a mess of options, effects, and examine issues originating from a classical moving-boundary challenge in dimensions (idealized Hele-Shaw flows, or classical Laplacian growth), which has robust connections to many fascinating smooth advancements in arithmetic and theoretical physics. Of specific curiosity are the relatives among Laplacian development and the infinite-size restrict of ensembles of random matrices with advanced eigenvalues; integrable hierarchies of differential equations and their spectral curves; classical and stochastic Löwner evolution and demanding phenomena in two-dimensional statistical versions; susceptible recommendations of hyperbolic partial differential equations of singular-perturbation variety; and backbone of singularities for compact Riemann surfaces with anti-holomorphic involution. The booklet additionally offers an abundance of tangible classical suggestions, many particular examples of dynamics via conformal mapping in addition to a superior origin of strength conception. an intensive bibliography overlaying over twelve many years of effects and an advent wealthy in old and biographical details supplement the 8 major chapters of this monograph.

 Given its systematic and constant notation and history effects, this ebook offers a self-contained source. it's available to a large readership, from newbie graduate scholars to researchers from a variety of fields in typical sciences and mathematics.

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Download e-book for kindle: Quadrature Domains and Their Applications: The Harold S. by Peter Ebenfelt,Bjorn Gustafsson,Dmitry Khavinson,Mihai

By Peter Ebenfelt,Bjorn Gustafsson,Dmitry Khavinson,Mihai Putinar

Quadrature domain names have been singled out approximately 30 years in the past by means of D. Aharonov and H.S. Shapiro in reference to an extremal challenge in functionality conception. on account that then, a chain of coincidental discoveries positioned this category of planar domain names on the middle of crossroads of a number of rather autonomous mathematical theories, e.g., power thought, Riemann surfaces, inverse difficulties, holomorphic partial differential equations, fluid mechanics, operator concept. the quantity is dedicated to fresh advances within the thought of quadrature domain names, illustrating good the multi-facet elements in their nature. The e-book incorporates a huge choice of open difficulties relating the overall subject of quadrature domains.

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Download e-book for iPad: Boundary Integral Equations: 164 (Applied Mathematical by George Hsiao,Wolfgang L. Wendland

By George Hsiao,Wolfgang L. Wendland

This booklet is dedicated to the mathematical origin of boundary indispensable equations. the mix of ?nite point research at the boundary with those equations has resulted in very e?cient computational instruments, the boundary aspect tools (see e.g., the authors [139] and Schanz and Steinbach (eds.) [267]). even supposing we don't care for the boundary point discretizations during this e-book, the cloth awarded right here supplies the mathematical beginning of those tools. with a purpose to stay away from over generalization we've got con?ned ourselves to the therapy of elliptic boundary worth difficulties. The imperative suggestion of disposing of the ?eld equations within the area and - ducing boundary price difficulties to similar equations basically at the bou- ary calls for the information of corresponding primary suggestions, and this concept has a protracted historical past relationship again to the paintings of eco-friendly [107] and Gauss [95, 96]. this day the ensuing boundary fundamental equations nonetheless function a big software for the research and development of recommendations to boundary price problems.

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