This book is centred about the Principle of virtual work and the related method for mechanical modelling. It aims at showing and enhancing the polyvalence and versatility of the virtual work approach in the mechanical modelling process. The virtual work statement is set as the principle at the root of a force modelling method that can be implemented on any geometrical description. After experimentally induced hypotheses have been made on the geometrical parameters that describe the concerned system and subsystems, the method provides a unifying framework for building up consistently associated force models where external and internal forces are introduced through their virtual rates of work. Systems described as three-dimensional, curvilinear or planar continua are considered: force models are established with the corresponding equations of motion; the validation process points out that enlarging the domain of relevance of the model for practical applications calls for an enrichment of the geometrical description that takes into account the underlying microstructure.
An accessible and engaging introduction to the study of probability and statistics Utilizing entertaining real-world examples, A Probability and Statistics Companion provides aunique, interesting, and accessible introduction to probability and statistics. This one-of-a-kind book delves into practical topics that are crucial in the analysis of sample surveys and experimentation. This handy book contains introductory explanations of the major topics in probability and statistics, including hypothesis testing and regression, while also delving into more advanced topics such as the analysis of sample surveys, analysis of experimental data, and statistical process control. The book recognizes that there are many sampling techniques that can actually improve on simple random sampling, and in addition, an introduction to the design of experiments is provided to reflect recent advances in conducting scientific experiments. This blend of coverage results in the development of a deeper understanding and solid foundation for the study of probability and statistics. Additional topical coverage includes: Probability and sample spaces Choosing the best candidate Acceptance sampling Conditional probability Random variables and discrete probability distributions Waiting time problems Continuous probability distributions Statistical inference Nonparametric methods Least squares and medians Recursions and probability Each chapter contains exercises and explorations for readers who wish to conduct independent projects or investigations. The discussion of most methods is complemented with applications to engaging, real-world scenarios such as winning speeds at the Indianapolis 500 and predicting winners of the World Series. In addition, the book enhances the visual nature of the subject with numerous multidimensional graphical representations of the presented examples. A Probability and Statistics Companion is an excellent book for introductory probability and statistics courses at the undergraduate level. It is also a valuable reference for professionals who use statistical concepts to make informed decisions in their day-to-day work.
Rainer Wüst (Jahrgang 1943) studierte von 1962 bis 1968 Mathematik an der Universität München. Danach war er bis 1975 Assistent bei Günter Hellwig an der RWTH Aachen, wo er 1970 promovierte. Nach seiner Habilitation 1975 folgte er einem Ruf auf eine Professur für Mathematik an der TU Berlin, die er bis heute inne hat. Längere Forschungssemester verbrachte er an der Princeton University, NJ (USA), und der Università di Modena (Italien). Seine Arbeitsschwerpunkte sind Mathematische Physik und Funktionalanalysis.
Covers multivariable calculus, starting from the basics and leading up to the three theorems of Green, Gauss, and Stokes, but always with an eye on practical applications. Written for a wide spectrum of undergraduate students by an experienced author, this book provides a very practical approach to advanced calculus—starting from the basics and leading up to the theorems of Green, Gauss, and Stokes. It explains, clearly and concisely, partial differentiation, multiple integration, vectors and vector calculus, and provides end-of-chapter exercises along with their solutions to aid the readers’ understanding. Written in an approachable style and filled with numerous illustrative examples throughout, Two and Three Dimensional Calculus: with Applications in Science and Engineering assumes no prior knowledge of partial differentiation or vectors and explains difficult concepts with easy to follow examples. Rather than concentrating on mathematical structures, the book describes the development of techniques through their use in science and engineering so that students acquire skills that enable them to be used in a wide variety of practical situations. It also has enough rigor to enable those who wish to investigate the more mathematical generalizations found in most mathematics degrees to do so. Assumes no prior knowledge of partial differentiation, multiple integration or vectors Includes easy-to-follow examples throughout to help explain difficult concepts Features end-of-chapter exercises with solutions to exercises in the book. Two and Three Dimensional Calculus: with Applications in Science and Engineering is an ideal textbook for undergraduate students of engineering and applied sciences as well as those needing to use these methods for real problems in industry and commerce.
The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of «function» and «limit», and offers detailed explanations that illustrate the «why» as well as the «how». Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.
Volume 2 of the classic advanced calculus text Richard Courant's Differential and Integral Calculus is considered an essential text for those working toward a career in physics or other applied math. Volume 2 covers the more advanced concepts of analytical geometry and vector analysis, including multivariable functions, multiple integrals, integration over regions, and much more, with extensive appendices featuring additional instruction and author annotations. The included supplement contains formula and theorem lists, examples, and answers to in-text problems for quick reference.
Use mathematical analysis in the real world Finite math takes everything you've learned in your previous math courses and brings them together into one course with a focus on organizing and analyzing information, creating mathematical models for approaching business decisions, using statistics principles to understand future states, and applying logic to data organization. Finite Math For Dummies tracks to a typical college-level course designed for business, computer science, accounting, and other non-math majors, and is the perfect supplement to help you score high! Organize and analyze information Apply calculation principles to real-world problems Use models for business calculations Supplement your coursework with step-by-step example problems If you’re not a math person or just want to brush up on your skills to get a better grade, Finite Math For Dummies is your ticket to scoring higher!
A comprehensive introduction to convexity and optimization in Rn This book presents the mathematics of finite dimensional constrained optimization problems. It provides a basis for the further mathematical study of convexity, of more general optimization problems, and of numerical algorithms for the solution of finite dimensional optimization problems. For readers who do not have the requisite background in real analysis, the author provides a chapter covering this material. The text features abundant exercises and problems designed to lead the reader to a fundamental understanding of the material. Convexity and Optimization in Rn provides detailed discussion of: * Requisite topics in real analysis * Convex sets * Convex functions * Optimization problems * Convex programming and duality * The simplex method A detailed bibliography is included for further study and an index offers quick reference. Suitable as a text for both graduate and undergraduate students in mathematics and engineering, this accessible text is written from extensively class-tested notes.
Shakespeare’s Theatre: A History examines the theatre spaces used by William Shakespeare, and explores these spaces in relation to the social and political framework of the Elizabethan era. The text journeys from the performing spaces of the provincial inns, guild halls and houses of the gentry of the Bard’s early career, to the purpose-built outdoor playhouses of London, including the Globe, the Theatre, and the Curtain, and the royal courts of Elizabeth and James I. The author also discusses the players for whom Shakespeare wrote, and the positioning—or dispositioning—of audience members in relation to the stage. Widely and deeply researched, this fascinating volume is the first to draw on the most recent archaeological work on the remains of the Rose and the Globe, as well as continuing publications from the Records of Early English Drama project. The book also explores the contentious view that the ‘plot’ of The Seven Deadly Sins (part II), provides unprecedented insight into the working practices of Shakespeare’s company and includes a complete and modernized version of the ‘plot’. Throughout, the author relates the practicalities of early modern playing to the evolving systems of aristocratic patronage and royal licensing within which they developed Insightful and engaging, Shakespeare’s Theatre is ideal reading for undergraduates, postgraduates, and scholars of literature and theatre studies.
What connects Shiite passion plays with Brecht's drama? Which of Goethe's poems were inspired by the Quran? How can Ibn Arabi's theology of sighs explain the plays of Heinrich von Kleist? And why did the Persian author Sadeq Hedayat identify with the Prague Jew Franz Kafka? 'One who knows himself and others will here too understand: Orient and Occident are no longer separable': in this new book, the critically acclaimed author and scholar Navid Kermani takes Goethe at his word. He reads the Quran as a poetic text, opens Eastern literature to Western readers, unveils the mystical dimension in the works of Goethe and Kleist, and deciphers the political implications of theatre, from Shakespeare to Lessing to Brecht. Drawing striking comparisons between diverse literary traditions and cultures, Kermani argues for a literary cosmopolitanism that is opposed to all those who would play religions and cultures against one another, isolating them from one another by force. Between Quran and Kafka concludes with Kermani's speech on receiving Germany's highest literary prize, an impassioned plea for greater fraternity in the face of the tyranny and terrorism of Islamic State. Kermani's personal assimilation of the classics gives his work that topical urgency that distinguishes universal literature when it speaks to our most intimate feelings. For, of course, love too lies 'between Quran and Kafka'.