Linear Integral Equations : Theory Technique [DJVU]
E-Book Overview
Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods. Such problems abound in applied mathematics, theoretical mechanics, and mathematical physics. This uncorrected softcover reprint of the second edition places the emphasis on applications and presents a variety of techniques with extensive examples. Originally published in 1971, Linear Integral Equations is ideal as a text for a beginning graduate level course. Its treatment of boundary value problems also makes the book useful to researchers in many applied fields. Read more... Part 1. Technologies that Support Learning to Understand and Create -- Curricular Activity Systems Supporting the Use of Dynamic Representations to Foster Students' Deep Understanding of Mathematics / Phil Vahey, Jennifer Knudsen, Kenneth Rafanan and Teresa Lara-Meloy -- Dynabooks: Supporting Teachers to Engage All Learners in Key Literacies / Jeremy Roschelle, Susan Courey, Charles Patton and Elizabeth Murray -- Teaching Engineering Design with Digital Fabrication: Imagining, Creating, and Refining Ideas / Jennifer L. Chiu, Glen Bull, Robert Q. Berry III and William R. Kjellstrom -- Professional Development Programs for Teaching with Visualizations / Libby Gerard, Ou Lydia Liu, Stephanie Corliss, Keisha Varma and Michele Spitulnik, et al. -- Introduction to Emerging Technologies for the Classroom: A Learning Sciences Perspective / Chrystalla Mouza and Nancy C. Lavigne Part 2. Technologies that Support Learning by Collaboration -- Networked Technologies for Fostering Novel Forms of Student Interaction in High School Mathematics Classrooms / Tobin White -- Supporting Collaborative Knowledge Construction with Web 2.0 Technologies / James D. Slotta and Hedieh Najafi -- Networked Technologies to Foster Students' Collaboration and Reflection / Eleni A. Kyza -- Like, Comment, Share: Collaboration and Civic Engagement Within Social Network Sites / Christine Greenhow and Jiahang Li Part 3. Technologies that Support Anytime, Anyplace Learning -- The Role of One-to-One Computing in the Education of at-Risk High-School Students / Chrystalla Mouza and Albert Cavalier -- Virtual Middle School Courses to Support Anytime, Anyplace Learning / Cathy Cavanaugh and Feng Liu -- The Potential of Mobile Technologies to Connect Teaching and Learning Inside and Outside of the Classroom / Mark van't Hooft -- Mobile Media Learning: Ubiquitous Computing Environments for the Mobile Generation / Kurt D. Squire Part 4. Technologies that Support Learning by Gaming -- Design Principles for Creating Educational Virtual Worlds / Brian C. Nelson, Diane Jass Ketelhut, Younsu Kim, Cecile Foshee and Kent Slack -- Narrative-Centered Learning Environments: A Story-Centric Approach to Educational Games / James C. Lester, Jonathan P. Rowe and Bradford W. Mott -- Creative Play in Virtual Worlds: Avatar Designs, Language Play, and Cheats / Deborah A. Fields and Yasmin B. Kafai -- Imagining, Creating, Playing, Sharing, Reflecting: How Online Community Supports Young People as Designers of Interactive Media / Karen Brennan and Mitchel Resnick -- Epilogue: Designing and Integrating Emerging Technologies for Learning, Collaboration, Reflection, and Creativity / Nancy C. Lavigne and Chrystalla Mouza.s Integral equations with separable kernels -- Method of successive approximations -- Classical fredholm theory -- Applications to ordinary differential equations -- Applications to partial differential equations -- Symmetric kernels -- Singular integral equations -- Integral transform methods -- Applications to mixed boundary value problems -- Integral equation perturbation methods
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