This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.
This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.
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.
This book explains how reparative self-sacrificial righteousness is at the heart of Paul's gospel, and how divine self-sacrifice authenticates that gospel via human reciprocity toward God in reconciliation. Paul Moser explores the controversial matters regarding Paul's message in a way that highlights the coherence and profundity of his message.
This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.
The evidence in the New Testament is clear: the church, from its beginning, faced problems of division and disunity, with the result that such unity still remains a goal to be achieved in the life of the visible body of Christ. Only a clear, hard-eyed view of the kind of problems that have beset the Christian community from its beginning will enable that community to move forward, under the guidance of God's Spirit, to that unity to which it is called. - From the Introduction
This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.
Jerusalem to Illyricum is the geographical space and ca. AD 34 to 57 the time frame for Paul's church planting mission. Acts includes this within its meta-narrative, and while historically accurate, it is not raw history like Paul's letters. In this study Barnett is seeking references to Paul's initial missionary "arrival" (eisodos) and the local cultural pushback. Of particular interest for history and theology is his encyclical to the Galatians and his account of the dispute with Cephas in Antioch. Paul's success in his mission to the gentiles in Syria and Cilicia provoked the rise within the Jerusalem Church of those he calls "false brothers" whose colleagues travelled to "agitate" the Galatian believers and to drive the gentile believers in Antioch from the common meal. Some years later a band of preachers from Jerusalem sought to capture the church in Corinth, intending to then capture other churches in Macedonia and Asia. Paul's missions and writings have been the subject of numerous large studies which, however, unintentionally imply that Paul's mission years were longer than they were and that his mission writing occupied a lengthy time space. His nine missionary letters were written ca. AD 48 to 57, a mere decade, and all of which point to Paul's astonishing energy and drive.
This text breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Aimed at physics students, it covers the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The exterior differential calculus is now being recognized by mathematicians and physicists as the best method of formulating the geometrical laws of physics, and the frontiers of physics have already begun to reopen fundamental questions about the geometry of space and time. Covering the basics of differential and integral calculus, the authors then apply the theory to interesting problems in optics, electronics (networks), electrostatics, wave dynamics, and finally to classical thermodynamics. The authors adopt the "spiral method" of teaching (rather than rectilinear), covering the same topic several times at increasing levels of sophistication and range of application.
Minear puts forward the significance of using the information uncovered from the last three chapters of Romans (14-16) to reconstruct the picture of the situation in Rome and to interpret the letter as a whole accordingly. He challenges the assumption held by many commentators that there was a single Christian congregation in Rome where different groups of Christians worshipped side by side. Minear proposes that Paul is trying to unite the strong and the weak communities in Rome. Paul does this by employing twelve axioms in efforts at reconciliation in 14.1-15.13. According to Minear, it is the purpose of the rest of Romans to explain, support, and defend these axioms.
First published in 1968--and out of print since the 1980s--Victor Paul Furnish's treatment of Paul's theology and ethics has long been regarded as the key scholarly statement and most useful textbook on Paul's thought. Now, Theology and Ethics in Paul is available once again as part of the Westminster John Knox Press New Testament Library. Featuring a new introduction from Richard Hays, this timeless volume is as relevant in this century as it was in the last. The New Testament Library offers authoritative commentary on every book and major aspect of the New Testament, as well as classic volumes of scholarship. The commentaries in this series provide fresh translations based on the best available ancient manuscripts, offer critical portrayals of the historical world in which the books were created, pay careful attention to their literary design, and present a theologically perceptive exposition of the text.
Capturing important insights from Paul's speech to the multicultural and multireligious city of Athens in Acts 17, Paul Copan and Kenneth Litwak seek to enhance and embolden the church's witness in today's pluralistic society by helping us point contemporary Athenians beyond "an unknown God" to the God and Father of Jesus Christ.
In examining the appropriation of Scripture in 2 Corinthians 4–13, Han argues that the apostle is not only aware of the original contexts of the passages he refers to, but also goes beyond the immediate contexts and brings in the larger context of the Old Testament. In the course of adapting the Scripture, necessary changes of referent occur and Paul appears to use the method of identification in reading the Old Testament. Whether it is Paul himself, the Corinthians or the opponents, various kinds of identification take place with the scriptural writers and the characters mentioned in it. This identification extends even to the point of identifying the Corinthians with the Servant of Isaiah, Jesus and God. From this it is suggested that there is a concept of 'corporate identity' present throughout the chapters, which is also seen in the Old Testament. In many cases Paul's basic thrust is sufficiently clear even without any understanding of scriptural references he makes. This is because Paul often makes a rhetorical use of the Scripture by citing a text at climactic points or near the closing of a section he is developing to strengthen his points, even as he brings in the 'big picture' of the Old Testament.
This guidebook assists you to learn about and explore Dreamosophy - literally, the wisdom of dreaming. Wisdom differs from information and knowledge in that wisdom is based in and emerges from experience and tradition. Although many have tried to define wisdom, it is more important that you learn to experience and discern - to learn to notice, identify, and experience confluences among information, knowledge, and wisdom. In Dreamosophy you are invited to view and interact with dreams and dreaming differently from other traditions. You are invited to EXPERIENCE the wisdom of dreaming. Through Dreamosophy, you will find confluences between dreaming and waking that can help you make the changes you long for, to have your life become a worthwhile dream come true, grounded in information, knowledge, and wisdom. In this guidebook, you'll learn many valuable ideas to take steps toward a deeper, more effective, and more satisfying dream life. Through Dreamosophy, you can discover and co-create your own, inner wisdom - the Wisdom of Dreaming! In this gentle and inviting approach, your dream practices are arranged into three levels to help you reach the full potential of each Dream Opportunity - easily and gradually. These three levels are NOTICE, IDENTIFY, and CONFLUENCE. These three levels occur in your dreams and perhaps also your waking life. As you explore your way through each level, you gradually develop the information, knowledge, familiarity, and skills needed to experience satisfaction as a creative dreamer. In each level of the Wisdom of Dreaming, this guidebook will present the same five Dream Opportunities. You will learn how to BE FREE in your dreams, how to FEEL GOOD in your dreams, how to SPEAK UP in your dreams, how to MAKE FRIENDS in your dreams, and finally, how to UNDERSTAND AND REALIZE your dreams. What an exciting and wondrous moment! Understanding your dreams and how they work can make a big difference in your life, but it doesn't need to be as complicated as others may lead you to believe. As you follow the activities in this guidebook and learn to apply Dreamosophy, it can be easy to unlock the true potential of your dream life!
The temptation to give up while running the race of faith is all too real. Despite our best attempts to be faithful witnesses of the gospel of Christ, we oftentimes feel overwhelmed by discouragement and doubt. Empowered by Joy is a devotional inspired by Paul's letter to the Philippians. It focuses on how we can enjoy an endless stream of joy through our relationship with Christ and thus experience power to fulfill our calling to make known the good news of God!
With the aid of loyal friends, he fled to Hamburg, where he spent most of his remaining years in relative obscurity, all the while continuing his campaign to bring free thinking to the German lands." "Drawing on extensive manuscript and printed collections, Spalding offers the first comprehensive treatment of how Schmidt, a lowly private tutor, challenged one of the most elaborate censorship systems ever devised."--BOOK JACKET.
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