Angewandte Mathematik mit Mathcad, Band 2. Komplexe Zahlen, by Josef Trölß

By Josef Trölß

Computer-Algebra-Systeme (CAS) und computerorientierte numerische Verfahren (CNV) vereinfachen den praktischen Umgang mit der Mathematik ganz entscheidend und werden in immer weiteren Bereichen angewendet.

Mathcad stellt dazu eine Vielfalt an Werkzeugen zur Verfügung und verbindet mathematische Formeln, Berechnungen, Texte, Grafiken usw. in einem einzigen Arbeitsblatt. So lassen sich Berechnungen und ihre Resultate besonders einfach illustrieren, visualisieren und kommentieren.

Dieses Lehr- und Arbeitsbuch, aus dem vierbändigen Werk „Angewandte Mathematik mit Mathcad“, richtet sich vor allem an Schülerinnen und Schüler höherer Schulen, Studentinnen und Studenten, Naturwissenschaftlerinnen und Naturwissenschaftler sowie Anwenderinnen und Anwender – speziell im technischen Bereich –, die sich über eine computerorientierte Umsetzung mathematischer Probleme im Bereich komplexer Zahlen, komplexer Funktionen, Vektor- und Matrizenrechnung, Vektoranalysis informieren und dabei die Vorzüge von Mathcad möglichst effektiv nützen möchten.

Show description

Read or Download Angewandte Mathematik mit Mathcad, Band 2. Komplexe Zahlen, Matrizenrechnung, Vektoranalysis PDF

Similar artificial intelligence books

Data Mining: Practical Machine Learning Tools and Techniques (3rd Edition)

Data Mining: useful computer studying instruments and strategies bargains a radical grounding in desktop studying strategies in addition to sensible suggestion on utilising computer studying instruments and strategies in real-world information mining events. This hugely expected 3rd variation of the main acclaimed paintings on info mining and laptop studying will train you every little thing you want to learn about getting ready inputs, reading outputs, comparing effects, and the algorithmic equipment on the center of profitable information mining.

Thorough updates replicate the technical alterations and modernizations that experience taken position within the box because the final variation, together with new fabric on information alterations, Ensemble studying, substantial information units, Multi-instance studying, plus a brand new model of the preferred Weka laptop studying software program constructed by means of the authors. Witten, Frank, and corridor comprise either tried-and-true ideas of at the present time in addition to tools on the cutting edge of latest study.

*Provides an intensive grounding in desktop studying strategies in addition to sensible suggestion on using the instruments and methods on your facts mining initiatives *Offers concrete advice and methods for functionality development that paintings by way of reworking the enter or output in laptop studying equipment *Includes downloadable Weka software program toolkit, a set of computer studying algorithms for facts mining tasks-in an up to date, interactive interface. Algorithms in toolkit conceal: facts pre-processing, category, regression, clustering, organization ideas, visualization

Machine Learning for Multimedia Content Analysis (Multimedia Systems and Applications)

This quantity introduces desktop studying options which are really robust and potent for modeling multimedia info and customary initiatives of multimedia content material research. It systematically covers key computer studying concepts in an intuitive type and demonstrates their functions via case stories. insurance contains examples of unsupervised studying, generative types and discriminative types. moreover, the booklet examines greatest Margin Markov (M3) networks, which attempt to mix the benefits of either the graphical versions and help Vector Machines (SVM).

Superintelligence: Paths, Dangers, Strategies

Superintelligence asks the questions: What occurs while machines surpass people typically intelligence? Will synthetic brokers store or wreck us? Nick Bostrom lays the basis for figuring out the way forward for humanity and clever life.

The human mind has a few features that the brains of different animals lack. it really is to those specific services that our species owes its dominant place. If laptop brains passed human brains more often than not intelligence, then this new superintelligence may possibly turn into tremendous strong - in all likelihood past our regulate. because the destiny of the gorillas now relies extra on people than at the species itself, so may the destiny of humankind rely on the activities of the laptop superintelligence.

But we now have one virtue: we get to make the 1st flow. Will it's attainable to build a seed man made Intelligence, to engineer preliminary stipulations which will make an intelligence explosion survivable? How may possibly one in attaining a managed detonation?

This profoundly bold and unique booklet breaks down an unlimited song of adverse highbrow terrain. After an completely engrossing trip that takes us to the frontiers of puzzling over the human situation and the way forward for clever existence, we discover in Nick Bostrom's paintings not anything below a reconceptualization of the fundamental job of our time.

Bayesian Reasoning and Machine Learning

Laptop studying equipment extract price from tremendous info units speedy and with modest assets.

They are demonstrated instruments in a variety of commercial purposes, together with se's, DNA sequencing, inventory industry research, and robotic locomotion, and their use is spreading speedily. those that comprehend the tools have their number of profitable jobs. This hands-on textual content opens those possibilities to laptop technology scholars with modest mathematical backgrounds. it truly is designed for final-year undergraduates and master's scholars with constrained heritage in linear algebra and calculus.

Comprehensive and coherent, it develops every thing from simple reasoning to complicated concepts in the framework of graphical versions. scholars study greater than a menu of thoughts, they improve analytical and problem-solving talents that equip them for the true international. a number of examples and workouts, either laptop established and theoretical, are incorporated in each bankruptcy.

Resources for college kids and teachers, together with a MATLAB toolbox, can be found on-line.

Extra info for Angewandte Mathematik mit Mathcad, Band 2. Komplexe Zahlen, Matrizenrechnung, Vektoranalysis

Sample text

2-49) XC heißt kapazitiver Blindwiderstand (Reaktanz) und B C kapazitiver Blindleitwert (Suszeptanz). Der Zeiger U wird gegenüber I durch den Faktor 1/j = e - jS/2 um - 90° gedreht. Phasenmäßig liegt der kapazitive Wechselstromwiderstand X C um - 90° phasenverschoben zum Ohmschen Widerstand. Für Strom und Spannung ergibt sich die Phasenverschiebung Mu = 0°, Mi = 90° und damit M = Mi. Zeigerdiagramme (Scheitelwerte und Effektivwerte): U eilt I um 90° nach bzw. I eilt U um 90° vor Abb. 16 Z-Ebene: Widerstandsebene Y-Ebene: Leitwertebene Abb.

732 0 ) x1 y1 Bildpunktkoordinaten Eckpunktskoordinaten zur Darstellung der Seiten 2 1 y1 ¢1² P 2 1 0 1 2 3 Abb. 12 1 2 ¢0² x1  P Seiten des regelmäßigen n-Ecks Zugehörige Bildpunkte Seite 34 Komplexe Zahlen und Funktionen Eine algebraische Gleichung n-ten Grades n1 n an ˜ x  an 1 ˜ x 2  .... , n)) hat höchstens n reelle Lösungen (Wurzeln). Löst man die Gleichung im Komplexen, so besagt der Fundamentalsatz der Algebra: Eine algebraische Gleichung n-ten Grades n an ˜ z  an1 ˜ z n1 2  ....

01  S Bereichsvariable Zeiger in der Gaußschen Ebene 10 8 6 yz 4 y z0 z1 2 y z2 y( M ) 10 8 6 4 2 z2 z1 z0 y z1 0 2 4 6 8 2 10 Dreiteilung des Kreises mit Radius r = |z 0 | 4 6 8 10 Abb. 732 0 ) x1 y1 Bildpunktkoordinaten Eckpunktskoordinaten zur Darstellung der Seiten 2 1 y1 ¢1² P 2 1 0 1 2 3 Abb. 12 1 2 ¢0² x1  P Seiten des regelmäßigen n-Ecks Zugehörige Bildpunkte Seite 34 Komplexe Zahlen und Funktionen Eine algebraische Gleichung n-ten Grades n1 n an ˜ x  an 1 ˜ x 2  .... , n)) hat höchstens n reelle Lösungen (Wurzeln).

Download PDF sample

Rated 4.95 of 5 – based on 16 votes