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Mathematics for Natural Scientists II: Advanced Methods (Undergraduate Lecture Notes in Physics)
by Lev KantorovichThis textbook, the second in a series (the first covered fundamentals and basics), seeks to make its material accessible to physics students. Physics/engineering can be greatly enhanced by knowledge of advanced mathematical techniques, but the math-specific jargon and laborious proofs can be off-putting to students not well versed in abstract math. This book uses examples and proofs designed to be clear and convincing from the context of physics, as well as providing a large number of both solved and unsolved problems in each chapter. This is the second edition, and it has been significantly revised and enlarged, with Chapters 1 (on linear algebra) and 2 (on the calculus of complex numbers and functions) having been particularly expanded. The enhanced topics throughout the book include: vector spaces, general (non-Hermitian, including normal and defective) matrices and their right/left eigenvectors/values, Jordan form, pseudoinverse, linearsystems of differential equations, Gaussian elimination, fundamental theorem of algebra, convergence of a Fourie series and Gibbs-Wilbraham phenomenon, careful derivation of the Fourier integral and of the inverse Laplace transform. New material has been added on many physics topics meant to illustrate the maths, such as 3D rotation, properties of the free electron gas, van Hove singularities, and methods for both solving PDEs with a Fourier transform and calculating the width of a domain wall in a ferromagnet, to mention just a few. This textbook should prove invaluable to all of those with an interest in physics/engineering who have previously experienced difficulty processing the math involved.
Mathematics for Plumbers and Pipefitters
by Lee SmithNow in its 8th edition, MATHEMATICS FOR PLUMBERS AND PIPEFITTERS delivers the essential math skills necessary in the plumbing and pipefitting professions. Starting with a thorough math review to ensure a solid foundation, the book progresses into specific on-the-job applications, such as pipe length calculations, sheet metal work, and the builder's level. Broad-based subjects like physics, volume, pressures, and capacities round out your knowledge, while a new chapter on the business of plumbing invites you to consider an exciting entrepreneurial venture. Written by a Master Plumber and experienced vocational educator, MATHEMATICS FOR PLUMBERS AND PIPEFITTERS, 8th Edition includes a multitude of real-world examples, reference tables, and formulas to help you build a rewarding career in the plumbing and pipefitting trade.
Mathematics for Scientific and Technical Students
by H. Davies H. G. Davies G. A. HicksThis new edition provides a full introduction to the mathematics required for all technical subjects, particularly engineering. It has been completely updated and is designed to bring the student up to the required mathematical knowledge for their course.
Mathematics in Engineering Sciences: Novel Theories, Technologies, and Applications (Mathematical Engineering, Manufacturing, and Management Sciences)
by Mangey RamThis book includes research studies, novel theory, as well as new methodology and applications in mathematics and management sciences. The book will provide a comprehensive range of mathematics applied to engineering areas for different tasks. It will offer an international perspective and a bridge between classical theory and new methodology in many areas, along with real-life applications. Features Offers solutions to multi-objective transportation problem under cost reliability using utility function Presents optimization techniques to support eco-efficiency assessment in manufacturing processes Covers distance-based function approach for optimal design of engineering processes with multiple quality characteristics Provides discrete time sliding mode control for non-linear networked control systems Discusses Bejan number and second law of thermodynamics as instruments for optimizing fluid dynamic systems and aerodynamic systems
Mathematics Manual for Water and Wastewater Treatment Plant Operators: Math Concepts and Calculations
by Frank R. SpellmanTo properly operate a waterworks or wastewater treatment plant and to pass the examination for a waterworks/wastewater operator’s license, it is necessary to know how to perform certain calculations. All operators, at all levels of licensure, need a basic understanding of arithmetic and problem-solving techniques to solve the problems they typically encounter in the workplace. Hailed on its first publication as a masterly account written in an engaging, highly readable, user-friendly style, the fully updated Mathematics Manual for Water and Wastewater Treatment Plant Operators: Water Treatment Operations covers all the necessary computations used in water treatment today. It presents math operations that progressively advance to higher, more practical applications, including math operations that operators at the highest level of licensure would be expected to know and perform. Features: • Provides a strong foundation based on theoretical math concepts, which it then applies to solving practical problems for both water and wastewater operations. • Updated throughout and with several new practical problems added. • Provides illustrative examples for commonly used waterworks and wastewater treatment operations covering unit process operations found in today’s treatment facilities.
Mathematics Manual for Water and Wastewater Treatment Plant Operators: Basic Mathematics for Water and Wastewater Operators
by Frank R. SpellmanTo properly operate a waterworks or wastewater treatment plant and to pass the examination for a waterworks/wastewater operator’s license, it is necessary to know how to perform certain calculations. All operators, at all levels of licensure, need a basic understanding of arithmetic and problem-solving techniques to solve the problems they typically encounter in the workplace. Hailed on its first publication as a masterly account written in an engaging, highly readable, user-friendly style, the fully updated Mathematics Manual for Water and Wastewater Treatment Plant Operators: Basic Mathematics for Water and Wastewater Operators introduces and reviews fundamental concepts critical to qualified operators. It builds a strong foundation based on theoretical math concepts, which it then applies to solving practical problems for both water and wastewater operations. Features: • Provides a strong foundation based on theoretical math concepts, which it then applies to solving practical problems for both water and wastewater operations. • Updated throughout and with several new practical problems added. • Provides illustrative examples for commonly used waterworks and wastewater treatment operations covering unit process operations found in today’s treatment facilities.
Mathematics Manual for Water and Wastewater Treatment Plant Operators: Math Concepts and Calculations
by Frank R. SpellmanTo properly operate a waterworks or wastewater treatment plant and to pass the examination for a waterworks/wastewater operator’s license, it is necessary to know how to perform certain calculations. All operators, at all levels of licensure, need a basic understanding of arithmetic and problem-solving techniques to solve the problems they typically encounter in the workplace. Hailed on its first publication as a masterly account written in an engaging, highly readable, user-friendly style, the fully updated Mathematics Manual for Water and Wastewater Treatment Plant Operators: Wastewater Treatment Operations covers all the necessary computations used in wastewater treatment today. It presents math operations that progressively advance to higher, more practical applications, including math operations that operators at the highest level of licensure would be expected to know and perform. Features: • Provides a strong foundation based on theoretical math concepts, which it then applies to solving practical problems for both water and wastewater operations. • Updated throughout and with several new practical problems added. • Provides illustrative examples for commonly used waterworks and wastewater treatment operations covering unit process operations found in today’s treatment facilities.
Mathematics Manual for Water and Wastewater Treatment Plant Operators: Math Concepts and Calculations
by Frank R. SpellmanTo properly operate a waterworks or wastewater treatment plant and to pass the examination for a waterworks/wastewater operator's license, it is necessary to know how to perform certain calculations. All operators, at all levels of licensure, need a basic understanding of arithmetic and problem-solving techniques to solve the problems they typicall
Mathematics Manual for Water and Wastewater Treatment Plant Operators: Basic Mathematics for Water and Wastewater Operators
by Frank R. SpellmanTo properly operate a waterworks or wastewater treatment plant and to pass the examination for a waterworks/wastewater operator's license, it is necessary to know how to perform certain calculations. All operators, at all levels of licensure, need a basic understanding of arithmetic and problem-solving techniques to solve the problems they typicall
Mathematics Manual for Water and Wastewater Treatment Plant Operators: Math Concepts and Calculations
by Frank R. SpellmanTo properly operate a waterworks or wastewater treatment plant and to pass the examination for a waterworks/wastewater operator's license, it is necessary to know how to perform certain calculations. All operators, at all levels of licensure, need a basic understanding of arithmetic and problem-solving techniques to solve the problems they typicall
Mathematics of Energy and Climate Change
by Jean-Pierre Bourguignon Rolf Jeltsch Alberto Adrego Pinto Marcelo VianaThe focus of this volume is research carried out as part of the program Mathematics of Planet Earth, which provides a platform to showcase the essential role of mathematics in addressing planetary problems and creating a context for mathematicians and applied scientists to foster mathematical and interdisciplinary developments that will be necessary to tackle a myriad of issues and meet future global challenges. Earth is a planet with dynamic processes in its mantle, oceans and atmosphere creating climate, causing natural disasters and influencing fundamental aspects of life and life-supporting systems. In addition to these natural processes, human activity has increased to the point where it influences the global climate, impacts the ability of the planet to feed itself and threatens the stability of these systems. Issues such as climate change, sustainability, man-made disasters, control of diseases and epidemics, management of resources, risk analysis and global integration have come to the fore. Written by specialists in several fields of mathematics and applied sciences, this book presents the proceedings of the International Conference and Advanced School Planet Earth, Mathematics of Energy and Climate Change held in Lisbon, Portugal, in March 2013, which was organized by the International Center of Mathematics (CIM) as a partner institution of the international program Mathematics of Planet Earth 2013. The book presents the state of the art in advanced research and ultimate techniques in modeling natural, economical and social phenomena. It constitutes a tool and a framework for researchers and graduate students, both in mathematics and applied sciences.
Mathematics of Engineering and Science: Practice Problems, Methods, and Solutions
by Mehdi Rahmani-AndebiliThis study guide is designed for students taking courses in engineering mathematics and mathematical methods in science. The textbook includes problems with detailed solutions to teach students the subjects in detail and partially and fully solved exercises with hints to required formulas and answers, enabling students to practice independently and guiding them through problem-solving procedures. The material covered in the book includes complex functions, complex transformations, singularities of complex functions, complex series, Taylor and Laurent series expansions, residue, complex integration, Fourier series, half-domain Fourier sine and cosine series, complex Fourier series, Fourier integral, complex Fourier integral, Fourier transform, half-domain Fourier sine and cosine transform, and partial differential equations. Offering detailed solutions, multiple problem-solving methods, and clear explanations of concepts, this hands-on tutorial will improve students’ problem-solving skills and foster a solid understanding of engineering mathematics and mathematical methods in science.
The Mathematics of Mechanobiology: Cetraro, Italy 2018 (Lecture Notes in Mathematics #2260)
by Antonio DeSimone Benoît Perthame Alfio Quarteroni Lev TruskinovskyThis book presents the state of the art in mathematical research on modelling the mechanics of biological systems – a science at the intersection between biology, mechanics and mathematics known as mechanobiology. The book gathers comprehensive surveys of the most significant areas of mechanobiology: cell motility and locomotion by shape control (Antonio DeSimone); models of cell motion and tissue growth (Benoît Perthame); numerical simulation of cardiac electromechanics (Alfio Quarteroni); and power-stroke-driven muscle contraction (Lev Truskinovsky).Each section is self-contained in terms of the biomechanical background, and the content is accessible to all readers with a basic understanding of differential equations and numerical analysis. The book disentangles the phenomenological complexity of the biomechanical problems, while at the same time addressing the mathematical complexity with invaluable clarity. The book is intended for a wide audience, in particular graduate students and applied mathematicians interested in entering this fascinating field.
The Mathematics of Patterns, Symmetries, and Beauties in Nature: In Honor of John Adam (STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health)
by Bourama ToniThis unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling; thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus in some given tropical country to the spatiotemporal modeling of the progression of the pandemic. Given its scope and approach, the book will benefit researchers and students of mathematics, the sciences and engineering, and everyone else with an appreciation for the beauty of nature. The outcome is a mathematical enrichment of nature’s beauty in its various manifestations. This volume honors Dr. John Adam, a Professor at Old Dominion University, USA, for his lifetime achievements in the fields of mathematical modeling and applied mathematics. Dr. Adam has published over 110 papers and authored several books.
Mathematics of Uncertainty for Coping with World Challenges: Climate Change, World Hunger, Modern Slavery, Coronavirus, Human Trafficking (Studies in Systems, Decision and Control #353)
by John N. Mordeson Sunil MathewThis book ranks countries with respect to their achievement of the Sustainable Development Goals and their vulnerability to climate change. Human livelihoods, stable economies, health, and high quality of life all depend on a stable climate and earth system, and a diversity of species and ecosystems. Climate change significantly impacts human trafficking, modern slavery, and global hunger. This book examines these global problems using techniques from mathematics of uncertainty. Since accurate data concerning human trafficking and modern slavery is impossible to obtain, mathematics of uncertainty is an ideal discipline to study these problems. The book also considers the interconnection between climate change, world hunger, human trafficking, modern slavery, and the coronavirus. Connectivity properties of fuzzy graphs are used to examine trafficking flow between regions in the world. The book is an excellent reference source for advanced undergraduate and graduate students in mathematics and the social sciences as well as for researchers and teachers.
Mathematics Pocket Book for Engineers and Scientists (Routledge Pocket Books)
by John BirdThis compendium of essential formulae, definitions, tables and general information provides the mathematical information required by engineering students, technicians, scientists and professionals in day-to-day engineering practice. A practical and versatile reference source, now in its fifth edition, the layout has been changed and streamlined to ensure the information is even more quickly and readily available – making it a handy companion on-site, in the office as well as for academic study. It also acts as a practical revision guide for those undertaking degree courses in engineering and science, and for BTEC Nationals, Higher Nationals and NVQs, where mathematics is an underpinning requirement of the course. All the essentials of engineering mathematics – from algebra, geometry and trigonometry to logic circuits, differential equations and probability – are covered, with clear and succinct explanations and illustrated with over 300 line drawings and 500 worked examples based in real-world application. The emphasis throughout the book is on providing the practical tools needed to solve mathematical problems quickly and efficiently in engineering contexts. John Bird’s presentation of this core material puts all the answers at your fingertips.
The Mathematics Teacher in the Digital Era: An International Perspective on Technology Focused Professional Development (Mathematics Education in the Digital Era #2)
by Nathalie Sinclair Alison Clark-Wilson Ornella RobuttiThis volume addresses the key issue of the initial education and lifelong professional learning of teachers of mathematics to enable them to realize the affordances of educational technology for mathematics. With invited contributions from leading scholars in the field, this volume contains a blend of research articles and descriptive texts.In the opening chapter John Mason invites the reader to engage in a number of mathematics tasks that highlight important features of technology-mediated mathematical activity. This is followed by three main sections:An overview of current practices in teachers’ use of digital technologies in the classroom and explorations of the possibilities for developing more effective practices drawing on a range of research perspectives (including grounded theory, enactivism and Valsiner’s zone theory).A set of chapters that share many common constructs (such as instrumental orchestration, instrumental distance and double instrumental genesis) and research settings that have emerged from the French research community, but have also been taken up by other colleagues.Meta-level considerations of research in the domain by contrasting different approaches and proposing connecting or uniting elements
Mathematik für Ingenieure I für Dummies (Für Dummies)
by J. Michael FriedAlle Ingenieure benötigen sie - kaum einer mag sie eigentlich: die Mathematik. Aber Ingenieursmathematik muss nicht schwer verständlich sein, sie kann auch Spaß machen. J. Michael Fried vermittelt Ihnen in diesem Buch die Grundlagen der Mathematik, die alle Ingenieure in den ersten Semestern benötigen. Los geht's mit der Linearen Algebra: Lernen Sie, wie Sie mit Vektoren und Matrizen rechnen, lineare Gleichungssysteme lösen und Eigenwerte sowie Eigenvektoren berechnen. Außerdem führt der Autor Sie in die Geheimnisse der eindimensionalen Analysis ein und erklärt alles Wissenswerte zu Folgen und Grenzwerten, zur Differenzial- und zur Integralrechnung. Anhand von vielen Tipps und Praxisbeispielen lernen Sie, wo die erworbenen Kenntnisse in den Ingenieurwissenschaften angewendet werden. Mit Übungsaufgaben und ausführlichen Lösungen können Sie Ihr Wissen auch gleich noch überprüfen und festigen. Dieses Buch richtet sich an Studierende aller Ingenieurwissenschaften - sowohl zum Lernen als auch zum Nachschlagen.
Mathematik für Ingenieure und Naturwissenschaftler
by Peter Knabner Wilhelm MerzBasierend auf jahrzehntelanger Lehrerfahrung an der Universität Erlangen, bietet das Buch alle Mathematik-Themen, die für Ingenieure in den ersten beiden Semestern an deutschen Universitäten relevant sind: Lineare Algebra und Analysis in einer Raumdimension. Alle Aspekte sind detailliert und anhand kreativer und teils ausgefallener Beispiele dargestellt. Da die meisten Aussagen mit einer Beweisidee versehen sind, ist der Band auch für Lehramtsstudierende (Bachelor) geeignet. Begleitendes Übungsmaterial ist als Video im Internet verfügbar.
Mathematik visuell und interaktiv: für Ingenieure und Naturwissenschaftler
by Hans CyconDieses Buch hilft, mathematische Zusammenhänge zu erkennen und „mentale Bilder“ zur oft sehr abstrakten Sprache der Hochschulmathematik auszuprägen. Durch den visuellen Zugang und viele interaktive Elemente wird die visuelle Wahrnehmung direkt angesprochen – der meist stark formalisierte Umweg über Schrift, Symbolik und Sprache tritt dagegen in den Hintergrund. Es handelt sich hier also nicht um ein klassisches Lehrbuch: Die mathematischen Ausführungen werden nicht streng und rigoros mit allen Verzweigungen dargestellt und sind daher alles andere als vollständig. Auf formale mathematische Beweise wird weitgehend verzichtet. Vielmehr werden hier mathematische Ideen und Prinzipien vorgestellt. Primäre Zielgruppe sind angehende Ingenieure und Naturwissenschaftler, die, über die formale Sprache klassischer Lehrbücher hinaus, Bilder im Bewusstsein formen und die Ideen hinter den Sachverhalten verstehen möchten. Das Buch ist größtenteils auch für interessierte Laien, die sich der Ästhetik mathematischer Bilder und Ideen widmen möchten, gut lesbar und verständlich.
Mathematische Dynamik: Modelle und analytische Methoden der Kinematik und Kinetik (Masterclass)
by Martin PrechtlIn diesem Lehrbuch werden folgende Themengebiete abgedeckt: Kinematik, Massenpunkt- und Starrkörperkinetik, Mehrkörpersysteme und schwingungsfähige Systeme – einschließlich ausgewählter Fragestellungen der sogenannten Maschinendynamik. Dabei liegt der Fokus auf den analytischen Lösungsmethoden. Zudem wird die praktische Relevanz der Dynamik mit einem wissenschaftlich-theoretischen Fundament verknüpft. Alle hierfür nötigen Herleitungen sind im Text integriert und in ausführlicher Form erklärt. Um den Komplex der Dynamik zu erfassen, werden einfache Beispiele mit verschiedenen Ansätzen gerechnet und auf Vor-/Nachteile verglichen. Jene Aufgaben sind derart strukturiert, dass man die Vorgehensweise bei der Lösungsfindung anhand eingängiger Konstellationen leicht nachvollziehen kann – wie beispielsweise bei der Wahl eines zweckmäßigen Koordinatensystems. Folglich ist das Buch Grundlagenlektüre und Nachschlagewerk zugleich, für alle, die sich die Theorie technischer Bewegungsvorgänge erarbeiten wollen. Ein eigenes Übungskapitel mit „gemischten Arbeitspaketen“ rundet das Lehrbuch ab; für alle Aufgaben ist eine Lösungsvariante skizziert und ausführlich kommentiert. Zur Vertiefung der Eigenschaften ausgewählter mechanischer Systeme werden virtuelle Modelle mit dem kostenlosen Tool SimulationX angeboten: Videos geben dabei einen hilfreichen Überblick und Simulationen können von den LeserInnen selbst ausgeführt, modifiziert und weiterentwickelt werden. Diese interaktiven Beispiele bieten damit auch einen spielerischen Zugang zur Welt der Technischen Dynamik, außerdem absolviert man nebenbei einen kleinen Crash-Kurs in SimulationX.
Mathematische Grundlagen der Digitalisierung: Kompakt, visuell, intuitiv verständlich (essentials)
by Jörg Lange Tatjana LangeDie Autoren klassifizieren kurz die in Natur und Technik auftretenden Signale und stellen die Ecksteine der „analogen“ Fourier-Transformation als Basis für das essential dar. Sie zeigen anschaulich den Zusammenhang von Periodifizierung und Abtastung von Signalen im Zeit- und Frequenzbereich und leiten daraus das für die Digitalisierung fundamentale Abtasttheorem ab. Darauf aufbauend wird weitgehend visuell die diskrete Fourier-Transformation erklärt und deren Handhabung an einem Rechenbeispiel gezeigt. Es folgt eine Kurzdarstellung ausgewählter Grundbausteine der Übertragungstechnik und eine robuste Erläuterung des Mehrträger-Verfahrens und des orthogonalen Frequenzmultiplexverfahrens OFDM als Kernstück der Signalübertragung im Internet.Die Autoren:Prof. Dr.-Ing. habil. Jörg Lange war in leitender Position im Entwicklungsbereich Mobilfunk in einem Technologiekonzern tätig, bevor er in Ruhestand ging. Prof. Dr.-Ing. Tatjana Lange lehrte vor ihrem Ruhestand Automatisierungstechnik an der Hochschule Merseburg und ist weiterhin in der Forschung aktiv.
Mathematische Methoden der Technischen Mechanik: Für Ingenieure und Naturwissenschaftler (Springer-Lehrbuch)
by Michael Riemer Wolfgang Seemann Jörg Wauer Walter WedigDieses Lehrbuch bringt eine kompakte Darstellung der mathematischen Methoden, die für die Festkörpermechanik bedeutsam und wichtig sind, u. a. Matrizenrechnung, Theorie linearer Differenzialgleichungen mit Distributionstheorie sowie Variationsrechnung und analytische Mechanik. Ziel ist eine Verständnisbrücke zwischen mathematischer und ingenieurmäßiger Vorgehensweise zu schlagen. Somit ist es für angewandte Mathematiker wie auch Ingenieure gleichermaßen hilfreich und sowohl im Studium als auch im Beruf von Nutzen. In der aktuellen Auflage wurden in jedem Kapitel Aufgaben mit vollständigen Lösungen sowie Abschnitte zur Numerischen Integration und zu Formelmanipulationsprogrammen ergänzt.
MATLAB and Simulink Crash Course for Engineers
by Eklas HossainMATLAB and Simulink Crash Course for Engineers is a reader-friendly introductory guide to the features, functions, and applications of MATLAB and Simulink. The book provides readers with real-world examples, exercises, and applications, and offers highly illustrated, step-by-step demonstrations of techniques for the modelling and simulation of complex systems. MATLAB coverage includes vectors and matrices, programs and functions, complex numbers, visualization, solving equations, numerical methods, optimization problems, and graphical user interfaces. The Simulink coverage includes commonly used Simulink blocks, control system simulation, electrical circuit analysis, electric power systems, power electronics, and renewable energy technology. This powerful tutorial is a great resource for students, engineers, and other busy technical professionals who need to quickly acquire a solid understanding of MATLAB and Simulink.
MATLAB and Simulink in Action: Programming, Scientific Computing and Simulation
by Dingyü Xue Feng PanThe textbook is intended for teaching MATLAB language and its applications. The book is composed of three parts: MATLAB programming, scientific computing with MATLAB, and system simulation with Simulink. Since MATLAB is widely used in all fields of science and engineering, a good introduction to the language can not only help students learn how to use it to solve practical problems, but also provide them with the skills to use MATLAB independently in their later courses and research. The three parts of the book are well-balanced and tailored to the needs of engineering students, and the mathematical problems commonly encountered in engineering can be easily solved using MATLAB. This textbook is suitable for undergraduate and graduate students majoring in science and engineering.