This new edition, interspersed with numerous footnotes and topical exercises, is aimed at students of mathematics, engineering and physics seeking a comprehensive text in the applications of PDEs.
Partial differential equations are a central concept in mathematics. They are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of the well-known text by Ockendon et al., providing an enthusiastic and clear guide to the theory and applications of PDEs, provides timely updates on: transform methods (especially multidimensional Fourier transforms and the Radon transform); explicit representations of general solutions of the wave equation; bifurcations; the Wiener-Hopf method; free surface flows; American options; the Monge-Ampere equation; linear elasticity and complex characteristics; as well as numerous topical exercises. This book is ideal for students of mathematics, engineering and physics seeking a comprehensive text in the modern applications of PDEs
The world around us, natural or man-made, is built and held together by solid materials. Understanding their behaviour is the task of solid mechanics, which is in turn applied to many areas, from earthquake mechanics to industry, construction to biomechanics. The variety of materials (metals, rocks, glasses, sand, flesh and bone) and their properties (porosity, viscosity, elasticity, plasticity) is reflected by the concepts and techniques needed to understand them: a rich mixture of mathematics, physics and experiment. These are all combined in this unique book, based on years of experience in research and teaching. Starting from the simplest situations, models of increasing sophistication are derived and applied. The emphasis is on problem-solving and building intuition, rather than a technical presentation of theory. The text is complemented by over 100 carefully-chosen exercises, making this an ideal companion for students taking advanced courses, or those undertaking research in this or related disciplines.
The world around us, natural or man-made, is built and held together by solid materials. Understanding their behaviour is the task of solid mechanics, which is in turn applied to many areas, from earthquake mechanics to industry, construction to biomechanics. The variety of materials (metals, rocks, glasses, sand, flesh and bone) and their properties (porosity, viscosity, elasticity, plasticity) is reflected by the concepts and techniques needed to understand them: a rich mixture of mathematics, physics and experiment. These are all combined in this unique book, based on years of experience in research and teaching. Starting from the simplest situations, models of increasing sophistication are derived and applied. The emphasis is on problem-solving and building intuition, rather than a technical presentation of theory. The text is complemented by over 100 carefully-chosen exercises, making this an ideal companion for students taking advanced courses, or those undertaking research in this or related disciplines.
Mathematics is playing an ever more important role in the physical and biol- ical sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and tea- ing, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Contents The starred sections are self-contained and may be omitted at a ?rst reading.
Now in its second edition, this book continues to give readers a broad mathematical basis for modelling and understanding the wide range of wave phenomena encountered in modern applications. New and expanded material includes topics such as elastoplastic waves and waves in plasmas, as well as new exercises. Comprehensive collections of models are used to illustrate the underpinning mathematical methodologies, which include the basic ideas of the relevant partial differential equations, characteristics, ray theory, asymptotic analysis, dispersion, shock waves, and weak solutions. Although the main focus is on compressible fluid flow, the authors show how intimately gasdynamic waves are related to wave phenomena in many other areas of physical science. Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical thinking. Each chapter includes a complete set of carefully prepared exercises, making this a suitable textbook for students in applied mathematics, engineering, and other physical sciences. Reviews of the first edition:"This book … is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves. … is extraordinarily accurate and free of misprints … . I enjoyed reading this book. … most attractive and enticing appearance, and I’m certain that many readers who browse through it will wish to buy a copy. The exercises … are excellent. … A beginner who worked through these exercises would not only enjoy himself or herself, but would rapidly acquire mastery of techniques used…in JFM and many other journals…" (C. J. Chapman, Journal of Fluid Mechanics, Vol. 521, 2004) "The book targets a readership of final year undergraduates and first year graduates in applied mathematics. In the reviewer’s opinion, it is very well designed to catch the student’s interest … while every chapter displays essential features in some important area of fluid dynamics. Additionally, students may practice by solving 91 exercises. This volume is mainly devoted to inviscid flows. … The book is very well written." (Denis Serre, Mathematical Reviews, 2004)
Now in its second edition, this book continues to give readers a broad mathematical basis for modelling and understanding the wide range of wave phenomena encountered in modern applications. New and expanded material includes topics such as elastoplastic waves and waves in plasmas, as well as new exercises. Comprehensive collections of models are used to illustrate the underpinning mathematical methodologies, which include the basic ideas of the relevant partial differential equations, characteristics, ray theory, asymptotic analysis, dispersion, shock waves, and weak solutions. Although the main focus is on compressible fluid flow, the authors show how intimately gasdynamic waves are related to wave phenomena in many other areas of physical science. Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical thinking. Each chapter includes a complete set of carefully prepared exercises, making this a suitable textbook for students in applied mathematics, engineering, and other physical sciences. Reviews of the first edition:"This book … is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves. … is extraordinarily accurate and free of misprints … . I enjoyed reading this book. … most attractive and enticing appearance, and I’m certain that many readers who browse through it will wish to buy a copy. The exercises … are excellent. … A beginner who worked through these exercises would not only enjoy himself or herself, but would rapidly acquire mastery of techniques used…in JFM and many other journals…" (C. J. Chapman, Journal of Fluid Mechanics, Vol. 521, 2004) "The book targets a readership of final year undergraduates and first year graduates in applied mathematics. In the reviewer’s opinion, it is very well designed to catch the student’s interest … while every chapter displays essential features in some important area of fluid dynamics. Additionally, students may practice by solving 91 exercises. This volume is mainly devoted to inviscid flows. … The book is very well written." (Denis Serre, Mathematical Reviews, 2004)
Jesus came to give us life.Jesus called twelve men to be His disciples, but three fishermen–Peter, James, and John–shared a special relationship with Him. They were given direct access to some of the more pivotal events in Jesus’ ministry, such as the transfiguration, His raising of Lazarus from the dead, and His agony in the Garden of Gethsemane. John’s account thus gives us a unique glimpse from one of Jesus’ closest disciples into the significance of the life, death, and resurrection of Christ. John reveals how Jesus came to provide “living water” to quench our deep spiritual thirst for the things of God. He shows how Jesus is the “bread of life” who satisfies our deep spiritual hunger. And he reveals how Jesus is the only way we can obtain that living water and bread of life, for “no one comes to the Father” except through Him.The Jeremiah Bible Study Series captures Dr. David Jeremiah’s forty-plus years of commitment to teaching the Word of God. In each study, he will help you understand what the Bible says, what it meant to the people at the time it was written, and what it means to you today. Along the way, you will gain insights into the text, identify key stories and themes, and be challenged to apply the truth you find in your life.
A companion series to the acclaimed Word Biblical CommentaryFinding the great themes of the books of the Bible is essential to the study of God's Word and to the preaching and teaching of its truths. These themes and ideas are often like precious gems: they lie beneath the surface and can only be discovered with some difficulty. While commentaries are useful for helping readers understand the content of a verse or chapter, they are not usually designed to help the reader to trace important subjects systematically within a given book a Scripture.The Word Biblical Themes series helps readers discover the important themes of a book of the Bible. This series distills the theological essence of a given book of Scripture and serves it up in ways that enrich the preaching, teaching, worship, and discipleship of God's people. Volumes in this series:Are written by top biblical scholarsFeature authors who wrote on the same book of the Bible for the Word Biblical Commentary seriesDistill deep and focused study on a biblical book into the most important themes and practical applications of themGive readers an ability to see the "big picture" of a book of the Bible by understanding what topics and concerns were most important to the biblical writersHelp address pressing issues in the church today by showing readers see how the biblical writers approached similar issues in their dayAre ideal for sermon preparation and for other teaching in the church Word Biblical Themes are an ideal resource for any reader who has used and benefited from the Word Biblical Commentary series, and will help pastors, bible teachers, and students as they seek to understand and apply God’s word to their ministry and learning.
Become a daily Bible reader, attentive to the mind of God."Scot McKnight is one of my absolute favorite New Testament scholars and his Everyday Bible Study series is akin to Einstein creating a user-friendly version of the Theory of Relativity!"—Lisa Harper, award-winning author and Bible teacherIn the New Testament Everyday Bible Study Series, widely respected biblical scholar Scot McKnight reveals the newness and activeness of God's Word as it works in our everyday lives. His unique approach to Bible study combines sound theology with relevant pastoral wisdom. Each volume of this series provides:Original Meaning: Brief, precise expositions of the biblical text and offers a clear focus for the central message of each passage.Fresh Interpretation: Brings the passage alive with fresh images and what it means to follow King Jesus.Practical Application: Biblical connections and questions for reflection and application for each passage. Ideal for personal reflection or group study, John will help you see God in the biblical context so you can hear from God in your context. John's Gospel highlights how people responded to Jesus in the first century but also showcases responses for readers today: faith that abides in who he is, obeys what he calls us to do, and witnesses about Jesus to the world.Who Jesus is and who we understand him to be shape how we respond to Jesus and the kind of person we are created to become.Scot McKnight will walk you and your group through John with Scripture passages (sometimes translated from the original by McKnight himself), reflection questions, pastoral insights, and ideas for putting God's words into action.
Concentrate on the biblical author's message as it unfolds.Designed to assist the pastor and Bible teacher in conveying the significance of God's Word, the Zondervan Exegetical Commentary on the New Testament series treats the literary context and structure of every passage of the New Testament book in the original Greek.With a unique layout designed to help you comprehend the form and flow of each passage, the ZECNT unpacks:The key message.The author's original translation.An exegetical outline.Verse-by-verse commentary.Theology in application.While primarily designed for those with a basic knowledge of biblical Greek, all who strive to understand and teach the New Testament will benefit from the depth, format, and scholarship of these volumes.
Creative, engaging Bible study questions are hard to come by … without rewriting questions for yourself. Each book of questions leads a small group through a book (or combination of books) in the Bible—helping students become more biblically literate, and allowing them to come face-to-face with God’s Word. Students will be pushed, encouraged, and challenged by these studies. But more than all this, they will be changed. Each passage of Scripture sets the topic—and the questions are constructed to help students think deeply, talk openly, and apply what they are learning to their lives. Leaders will be able to pick it up and use it immediately with kids. Volunteers are looking for good “book of the Bible studies” they can pick up and use in their groups. Grab it and go, these studies will meet your students where they are and help them see how God’s Word can speak to their world.
A series of Bible study guides following the format and content of the NIV Application Commentaries Series. Each study looks at the original meaning, bridging contexts, and contemporary significance of the text, and offers small group participants a better understanding and relevant application of the biblical material to their daily lives.
The NIV Application Commentary helps you communicate and apply biblical text effectively in today's context.The Gospel of John tells us the story that is the foundation of the distinctive teaching of Christianity. It provides all the elements necessary to see the full picture of the person and work of Jesus: a human Christ to redeem us, a divine Christ to reveal God's nature, and a powerful, Spirit-filled Christ to help us lead holy lives. This commentary unveils, in today's terminology, the deeply satisfying portrait of Christ painted in the Gospel of John. To bring the ancient messages of the Bible into today's context, each passage is treated in three sections:Original Meaning. Concise exegesis to help readers understand the original meaning of the biblical text in its historical, literary, and cultural context.Bridging Contexts. A bridge between the world of the Bible and the world of today, built by discerning what is timeless in the timely pages of the Bible.Contemporary Significance. This section identifies comparable situations to those faced in the Bible and explores relevant application of the biblical messages. The author alerts the readers of problems they may encounter when seeking to apply the passage and helps them think through the issues involved.This unique, award-winning commentary is the ideal resource for today's preachers, teachers, and serious students of the Bible, giving them the tools, ideas, and insights they need to communicate God's Word with the same powerful impact it had when it was first written.The book you receive may have a different cover design than shown on the website.
John's Gospel reveals the wonder of Christ as seen through the eyes of a close friend. As you study the book of John, you will develop a deeper, more personal understanding of our Savior. You will come to know his thoughts and character. You will see him in his glory . . . Marvel at his beauty . . . Be changed by his wisdom . . . And discover the riches of following him closely and knowing him well.
An image rich, passage-by-passage commentary that integrates relevant historical and cultural insights, providing a deeper dimension of perspective to the words of the New Testament Discoveries await you that will snap the world of the New Testament into new focus. Things that seem mystifying, puzzling, or obscure will take on tremendous meaning when you view them in their ancient context. With the Zondervan Illustrated Bible Backgrounds Commentary, you'll:Deepen your understanding of the teachings of Jesus.Discover the close interplay between God's kingdom and the practical affairs of the church.Learn more about the real life setting of the Old Testament writings to help you identify with the people and circumstances described in Scripture.Gain a deeper awareness of the Bible's relevance for your life.In this volume, detailed exegetical notes are combined with background information of the cultural setting that will help you interpret the Gospel of John.THE ZONDERVAN ILLUSTRATED BIBLE BACKGROUNDS COMMENTARY SERIESInvites you to enter the world of the New Testament with a company of seasoned guides, experts who will help you understand and teach the biblical text more accurately. Features:Commentary based on relevant papyri, inscriptions, archaeological discoveries, and studies of Judaism, Roman culture, Hellenism, and other features of the world of the New Testament.Hundreds of full-color photographs, color illustrations, and line drawings.Copious maps, charts, and timelines.Sidebar articles and insights."Reflections" on the Bible's relevance for 21st-century living.
'Fascinating' The Sunday Times'Engaging . . . offers a fascinating glimpse into an altogether more innocent age' Independent'Vivid and engaging . . . refreshingly free of bitterness' Mail on Sunday* * *Cynthia and John Lennon's relationship spanned ten crucial years of the Beatles phenomenon. But as well as new insight into the Beatles years, Cynthia has a compelling personal story of marriage, motherhood and the man who was to become the most idolised and admired of all the Beatles.Cynthia is candid about the cruel and the loving sides of John. She tells of the end of their marriage and the beginning of his relationship with Yoko Ono in more detail than ever before, and reveals the many difficulties estrangement from John - and then his death - brought for herself and Julian. Cynthia is a remarkable survivor and this is her extraordinary story and unique insight into a man loved and idolised all over the world.Soon to be the subject of This Girl, a play debuting in Liverpool later this year, this is the original true story of Cynthia Lennon.
"Stephen Hill's commentary on the Gospel of John is rich with prophetic insight on the Father's love. In it, he expands our understanding of Trinitarian Love and its role in creation, incarnation, sanctification and ultimately its cosmic ramifications. Yet, while exploring these profound subjects, he invites us into personal contemplation and experience of that Love. Written from a deep realisation of sonship in his personal life, Stephen's work will broadcast the seeds of sonship into many an orphaned heart " -- Ed Piorek - Author and Speaker."Stephen speaks and writes with a prophetic edge that can, at times, be so sharp that we might reel from its intensity. He challenges many accepted ideas and popular teaching perspectives that we have accepted for long years, exposes them in the light of greater revelation from the Word of God, and then presents the truth in simple and obvious one-liners that is honestly joyfully wonderful." -- M. James Jordan - Founder of Fatherheart Ministries, Author and Speaker.
