The ideas of mathematics can be understood through the techniques needed to solve problems which crop up in everyday life. Conversely, these problems can illustrate how mathematics develops 'naturally'. The essence of this informal book is to motivate mathematics by examining mathematical models of situations and problems that occur in the real world. Each chapter deals with a specific mathematical topic and each topic is introduced at different levels to provide motivation for students of varying mathematical maturity. The authors emphasize that although applications provide motivation, they are not trying to supply aids for teaching applied mathematics. It is mathematical notions and how they can be developed that are important. We thus have an interesting inversion of aims: physics, biology, linguistics, etc., are here applied to the teaching of mathematics. The bank of ideas in this practical manual will be valuable to teachers of mathematics at schools, colleges and, to a certain extent, universities. Student teachers will also find here a great deal of material of use and interest.
A novel, practical approach to modeling spatial uncertainty. This book deals with statistical models used to describe natural variables distributed in space or in time and space. It takes a practical, unified approach to geostatistics-integrating statistical data with physical equations and geological concepts while stressing the importance of an objective description based on empirical evidence. This unique approach facilitates realistic modeling that accounts for the complexity of natural phenomena and helps solve economic and development problems-in mining, oil exploration, environmental engineering, and other real-world situations involving spatial uncertainty. Up-to-date, comprehensive, and well-written, Geostatistics: Modeling Spatial Uncertainty explains both theory and applications, covers many useful topics, and offers a wealth of new insights for nonstatisticians and seasoned professionals alike. This volume: * Reviews the most up-to-date geostatistical methods and the types of problems they address. * Emphasizes the statistical methodologies employed in spatial estimation. * Presents simulation techniques and digital models of uncertainty. * Features more than 150 figures and many concrete examples throughout the text. * Includes extensive footnoting as well as a thorough bibliography. Geostatistics: Modeling Spatial Uncertainty is the only geostatistical book to address a broad audience in both industry and academia. An invaluable resource for geostatisticians, physicists, mining engineers, and earth science professionals such as petroleum geologists, geophysicists, and hydrogeologists, it is also an excellent supplementary text for graduate-level courses in related subjects.
This flexible series offers instructors a true balance of traditional and conceptual approaches to calculus for math, science, and engineering majors. The Second Edition continues to focus on conceptual understanding as its primary goal and combines a variety of approaches and viewpoints to help students achieve this understanding. In addition to providing a readable tone that appeals to students and supports independent work, the authors present a balance of traditional theorems and proofs along with conceptually driven examples and exercises featuring graphical, numerical, and symbolic points of view. In addition, the text offers a wealth of diverse, well-graded exercises, including some more challenging problems.
Most books about Paul the apostle are long and very detailed, and for many a potential reader a daunting prospect. A Short Book about Paul is deliberately brief, but its brevity is not at the cost of accuracy. We trace the main contours of Paul’s life, which turn on the hinge of the singular event outside Damascus in c. AD 34. From that time the leading persecutor of the disciples became the dedicated preacher of the message about Jesus. This short book shares with many the opinion that Paul remains the most influential voice from Greco-Roman antiquity apart, that is, from the Lord whose servant he was. At the same time, many critics have found fault with him, especially from the time of the Enlightenment. Paul’s achievements were considerable. Between AD 47–56 he established a network of congregations in five Roman provinces—Syria-Cilicia, Galatia, Macedonia, Achaia, and Asia. His thirteen surviving letters are witnesses to his dedicated pastoral care of these tiny, far-flung gatherings. Not to be missed was his remarkable skill in recruiting a small army of loyal coworkers like Timothy, Luke, and Titus. The result of Paul’s decade-long journeys in the provinces of Anatolia and Greece was the planting of the seeds of Christianity that would develop into the official religion of the eastern Roman Empire, based in Constantinople.
Paul's letters are the earliest surviving Christian writings and therefore the earliest documentary evidence for what Jesus's followers knew and said about him. The present volume deals with questions frequently asked about Paul. Did he know Jesus personally? If not, then how much did Paul know about Jesus, and how did this information come to him? Where in his letters does Paul make use of Jesus's teachings, how does he employ them, and what kind of authority does he accord them? Above all, why does Paul place so much emphasis on Jesus' death and resurrection? How is he able to proclaim these as saving events? Finally, a closing chapter considers how several writings in the Pauline tradition variously continued and altered the apostle's own interpretation of Jesus. Because these Pauline understandings of Jesus have remained so influential across twenty centuries, the more fully they are appreciated the more one is helped in understanding Jesus today.
Seesengood traces the life and impact of Paul – one of Christianity’s most influential figures – through the major periods Christian history. Exploring the changing interpretations of Paul and his work, the author throws new light on his writings and on religious history. Offers a unique, insightful journey through the many and varied interpretations of Paul’s life and work over 2,000 years – from the Gnostic controversy, to Luther and the Reformation, to contemporary debates over religion and science Explains Paul’s pivotal role within Christian history, and how his missionary journeys, canonized epistles and theological insights were cornerstones of the early Church and central to the formation of Christian doctrine Argues that each new interpretation of Paul is the result of a fresh set of cultural, social and ideological circumstances – and so questions whether it is ever possible to discover the real Paul
What type of relationship did New Testament churches have with one another? Was it a relationship of conflict and competition? Or was it a loose aggregation of individual churches scattered across the Roman Empire? Or can it be described as a cohesive partnership for the common cause of the gospel of Christ? Most New Testament church activities are recorded in connection with Paul's ministry. In this sense, the present study started on the premise that close attention to Paul's partnership ministry would offer a richer understanding of New Testament church relationships. By exploring some ministry areas--such as Paul's coworkers, financial assistance, and communicative activities--this book demonstrates that Paul's churches, occasioned and mediated by Paul's partnership ministry, were engaged in networking and collaboration far more closely than has generally been assumed, not only among themselves but also with non-Pauline churches. Paul's partnership ministry significantly contributed to the relationship of New Testament churches.
The St. Paul Center for Biblical Theology and Dr. Scott Hahn present the eleventh annual edition of Letter & Spirit with the theme "Our Beloved Brother Paul." The articles, while academic in nature, are easily accessible to the average reader and can be read with great profit, both spiritually and in coming to learn the truths of the Catholic faith more deeply.
In this study, John-Paul Harper critically compares how Paul and Philo rethought the significant Jewish symbols of Land, Jerusalem, and Temple. Drawing particular attention to their political significance, he demonstrates how these symbols offer important insights into how both Paul and Philo conceptualised authority in the local community (Temple), within the wider 'people of God' (Jerusalem), and in relation to the Roman Empire (Land). The author argues that, while both conceptualised authority in charismatic terms, Philo's appropriation tended to be more individualistic and focused on otherworldly realities, whereas Paul's tended to be more communal and focused on this-worldly realities. Along the way, the author contributes to contemporary discussions of Paul and Philo's Jewish identity, their perspectives on community leadership and order, and their perspectives on the Roman Empire.
Paul and Religion demonstrates the continuing and contemporary relevance of the most important, and most controversial, figure of early Christianity. Paul Gooch interrogates the Pauline writings for their meaning as well as implications for religion as an entire form of life, a stance on the world expressed in distinctive practices. Bringing a philosophical approach to this topic, he connects Paul's ideas to lived experience. In a conversational style, Gooch explores Paul's experience of grace and his dismissal of distinctive markers of religious identity in favour of love as binding together a community. Contrary to common expectations, he finds within Paul's letters material for conversations about issues in our day, such as gender and sexuality. From his close reading of the Letters, Gooch argues that the Pauline religious form of life is not identical with institutional Christianity. Indeed, his conclusions may be welcome to those who belong to other faiths.
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