"Können Sie mir vielleicht irgendwie helfen? Das Semester ist fast zu Ende, und gestern habe ich festgestellt, daß mein Programm jetzt zwar läuft, aber falsche Ergebnisse liefert!" Mit dieser Frage kamen schon so viele Studenten auf die beiden Autoren zu, daß sie beschlossen, ihre Tips und Erklärungen in einem Buch zusammenzufassen. Diese Fortsetzung des Mathematica Arbeitsbuches derselben Autoren zeigt Schritt für Schritt, wie man ein so mächtiges Werkzeug wie Mathematica zur Lösung komplexer Probleme einsetzt. Dabei werden auch Holzwege nicht links liegen gelassen, weil sich gerade aus gescheiterten Versuchen viel lernen läßt.
Author: Hans Benker
Dieses Buch bietet eine kurze und verständliche Einführung in das Softwarepaket MATHEMATICA und zeigt dessen Anwendung auf Problemstellungen aus der Ingenieurmathematik. Zunächst werden der Aufbau, die Arbeitsweise und die Möglichkeiten von MATHEMATICA näher beschrieben. Anschließend wird dieses Grundwissen auf die Grundlagen der Ingenieurmathematik, z.B. Matrizen, Differential- und Integralrechnung, angewendet. Der letzte Teil des Buches widmet sich den fortgeschrittenen Themen der Ingenieurmathematik. Dabei werden Differentialgleichungen, Transformationen, Optimierung, Wahrscheinlichkeitsrechnung und Statistik behandelt.Die Berechnungen werden jeweils ausführlich dargestellt und an zahlreichen Beispielen illustriert.
Iterationsverfahren zur Lösung nichtlinearer Gleichungen - Lineare Gleichungssysteme - Lineare Optimierung - Interpolation und Approximation - Numerische Integration - Differentialgleichungen - Aufgaben - Lösungen
Der Band behandelt im ersten Teil Funktionen, Struktur und Arbeitsweise von MATLAB kurz und übersichtlich, so dass auch Einsteiger MATLAB problemlos einsetzen können. Teil 2 bietet eine kompakte Einführung in Grundgebiete und wichtige Spezialgebiete der Ingenieurmathematik wie z. B. Differentialgleichungen, Optimierung, Transformationen, Wahrscheinlichkeitsrechnung und Statistik. Aufgrund ausführlicher Beispielrechnungen mit MATLAB eignet sich das Buch hervorragend als Nachschlagewerk zur Lösung konkreter Probleme der Ingenieurmathematik.
The pioneering research and theories of Norbert Seel have had a profound impact on educational thought in mathematics. In this special tribute, an international panel of researchers presents the current state of model-based education: its research, methodology, and technology. Fifteen stimulating, sometimes playful chapters link the multiple ways of constructing knowledge to the complex real world of skill development. This synthesis of latest innovations and fresh perspectives on classic constructs makes the book cutting-edge reading for the researchers and educators in mathematics instruction building the next generation of educational models.
"Mathematics for Engineers I" gehört zu einer vierbändigen Reihe und gibt eine Einführung in die Mathematik für Undergraduates, die ein Bachelor-Studium im Bereich Ingenieurwissenschaften aufgenommen haben. In Band I sind die Grundzüge des klassischen Calculus dargestellt. Die Reihe unterscheidet sich von traditionellen Texten dadurch, dass sie interaktiv ist und mit Hilfe des Computer-Algebra-Systems Mathematica die Berechnungen darstellt.
Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). Over 300 exercises are included, some new to this edition, and many of which encourage the reader to implement the techniques and algorithms discussed through the use of a computer package with graphing and computer algebra capabilities. A dedicated website also offers further resources and useful links.
Photochemistry (a term that broadly speaking includes photophysics) is abranchofmodernsciencethatdealswiththeinteractionoflightwithmatter and lies at the crossroadsof chemistry, physics, and biology. However, before being a branch of modern science, photochemistry was (and still is today), an extremely important natural phenomenon. When God said: “Let there be light”, photochemistry began to operate, helping God to create the world as wenowknowit.Itislikelythatphotochemistrywasthesparkfortheoriginof life on Earth and played a fundamental role in the evolution of life. Through the photosynthetic process that takes place in green plants, photochemistry is responsible for the maintenance of all living organisms. In the geological past photochemistry caused the accumulation of the deposits of coal, oil, and naturalgasthat wenowuseasfuels.Photochemistryisinvolved inthecontrol ofozoneinthestratosphereandinagreatnumber ofenvironmentalprocesses thatoccurintheatmosphere,inthesea,andonthesoil.Photochemistryisthe essenceoftheprocessofvisionandcausesavarietyofbehavioralresponsesin living organisms. Photochemistry as a science is quite young; we only need to go back less than one century to ?nd its early pioneer . The concept of coordination compound is also relatively young; it was established in 1892, when Alfred Werner conceived his theory of metal complexes . Since then, the terms coordination compound and metal complex have been used as synonyms, even if in the last 30 years, coordination chemistry has extended its scope to the binding ofall kinds of substrates [3, 4].
Mathematical Concepts for Mechanical Engineering Design provides a broad understanding of the main computational techniques used for simulation of water distribution networks and water transmission systems. It introduces the theoretical background to a number of techniques and general data analysis techniques. The book also examines the application of techniques in an industrial setting, including current practices and current research, are presented. It provides practical experience of commercially available systems and includes a small-scale water systems related projects. The authors illustrate the concepts and techniques covered in the book by using a calculation that simulates water distribution networks and water transmission systems. The book also covers significant research on new methodologies and important applications in the fields of automation and control as well as includes the latest coverage of chemical databases and the development of new computational methods and efficient algorithms for hydraulic software and mechanical engineering. The book will be informative and useful to both academics and mechanical engineers in various industrial sectors, including hydraulic and mechanical engineering.
Exquisite, ready-to-color drawings of flowers -- one for each letter of the alphabet -- accompanied by young sprites in carefree poses. Each illustration also contains the first letter of the flower's name.
In the United States, hospitals annually report over 5 million cases of infectious-disease-related illnesses: clinical microbiology laboratories in these hospitals are engaged in detecting and identifying the pathogenic microorganisms in clinical specimens collected from these patients with suspected infections. Clearly, the timely and accurate detection/identification of these microbial pathogens is critical for patient treatment decisions and outcomes for millions of patients each year. Despite an appreciation that the outcome of an infectious-disease-related illness is directly related to the time required to detect and identify a microbial pathogen, clinical microbiology laboratories in the United States as well as worldwide have long been hampered by traditional culture-based assays, which may require prolonged incubation time for slowly growing microorganisms such as Mycobacterium tuberculosis. Moreover, traditional culture-based assays often require multiple steps with additional time needed for discernment of species and/or detection of antimicrobial resistance. Finally, these traditional, slow multistep culture-based assays are labor-intensive and required skilled clinical microbiologists at the bench. Over the past several decades, advanced molecular techniques in diagnostic microbiology quietly have been revolutionizing the practice of clinical microbiology in the hospital setting. Indeed, molecular diagnostic testing in general and nucleic-acid-based amplification methods in particular have been heralded as diagnostic tools for the new millennium. There is no question that the development of rapid molecular techniques for nucleic acid amplification/characterization combined with automation and user-friendly software has greatly broadened the diagnostic capabilities of the clinical microbiology laboratory. These technical advances in molecular microbiology over the first decade of the 21st Century have profoundly influenced the physical structure of clinical microbiology laboratories as well as their staffing patterns, workflow, and turnaround time. These molecular microbiology advances have also resulted in the need for a revised and updated second edition of Advanced Techniques in Diagnostic Microbiology. This second edition again provides an updated and comprehensive description of the ongoing evolution of molecular methods for the diagnosis of infectious diseases. In addition, many new chapters have been added, including a chapter on the clinical interpretation and relevance of advanced technique results. The second edition, like the first edition, includes both a “techniques” section describing the latest molecular techniques and an “applications” section describing how these advanced molecular techniques are being used in the clinical setting. Finally, the second edition, like the first edition, utilizes a diverse team of authors who have compiled chapters that provide the reader with comprehensive and useable information on advanced molecular microbiology techniques.
Cortical evoked potentials are of interest primarily as tests of changing neuronal excitabilities accompanying normal brain function. The first three steps in the anal ysis of these complex waveforms are proper placement of electrodes for recording, the proper choice of electrical or sensory stimulus parameters, and the establish ment of behavioral control. The fourth is development of techniques for reliable measurement. Measurement consists of comparison of an unknown entity with a set of standard scales or dimensions having numerical attributes in preassigned degree. A physical object can be described by the dimensions of size, mass, density, etc. In addition there are dimensions such as location, velocity, weight, hardness, etc. Some of these dimensions can be complex (e. g. size depends on three or more subsidiary coordi nates), and some can be interdependent or nonorthogonal (e. g. specification of size and mass may determine density). In each dimension the unit is defined with refer ence to a standard physical entity, e. g. a unit of mass or length, and the result of measurement is expressed as an equivalence between the unknown and the sum of a specified number of units of that entity. The dimensions of a complex waveform are elementary waveforms from which that waveform can be built by simple addition. Any finite single-valued function of time is admissible. They are called basis functions (lO, 15), and they can be expressed in numeric as well as geometric form.