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Author: Thomas Scott Blyth
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 376
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Book Description
This textbook provides a self-contained course on the basic properties of modules and their importance in the theory of linear algebra. The first 11 chapters introduce the central results and applications of the theory of modules. Subsequent chapters deal with advanced linear algebra, including multilinear and tensor algebra, and explore such topics as the exterior product approach to the determinants of matrices, a module-theoretic approach to the structure of finitely generated Abelian groups, canonical forms, and normal transformations. Suitable for undergraduate courses, the text now includes a proof of the celebrated Wedderburn-Artin theorem which determines the structure of simple Artinian rings.
Author: Nicolai Parlog
Publisher: Simon and Schuster
ISBN: 1638356246
Category : Computers
Languages : en
Pages : 750
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Book Description
Summary Java's much-awaited "Project Jigsaw" is finally here! Java 11 includes a built-in modularity framework, and The Java Module System is your guide to discovering it. In this new book, you'll learn how the module system improves reliability and maintainability, and how it can be used to reduce tight coupling of system components. Foreword by Kevlin Henney. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. You'll find registration instructions inside the print book. About the Technology Packaging code into neat, well-defined units makes it easier to deliver safe and reliable applications. The Java Platform Module System is a language standard for creating these units. With modules, you can closely control how JARs interact and easily identify any missing dependencies at startup. This shift in design is so fundamental that starting with Java 9, all core Java APIs are distributed as modules, and libraries, frameworks, and applications will benefit from doing the same. About the Book The Java Module System is your in-depth guide to creating and using Java modules. With detailed examples and easy-to-understand diagrams, you'll learn the anatomy of a modular Java application. Along the way, you'll master best practices for designing with modules, debugging your modular app, and deploying to production. What's inside The anatomy of a modular Java app Building modules from source to JAR Migrating to modular Java Decoupling dependencies and refining APIs Handling reflection and versioning Customizing runtime images Updated for Java 11 About the Reader Perfect for developers with some Java experience. About the Author Nicolai Parlog is a developer, author, speaker, and trainer. His home is codefx.org. Table of Contents PART 1 - Hello, modules First piece of the puzzle Anatomy of a modular application Defining modules and their properties Building modules from source to JAR Running and debugging modular applications PART 2 - Adapting real-world projects Compatibility challenges when moving to Java 9 or later Recurring challenges when running on Java 9 or later Incremental modularization of existing projects Migration and modularization strategies PART 3 - Advanced module system features Using services to decouple modules Refining dependencies and APIs Reflection in a modular world Module versions: What's possible and what's not Customizing runtime images with jlink Putting the pieces together
Author: Thomas Scott Blyth
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 376
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Book Description
This textbook provides a self-contained course on the basic properties of modules and their importance in the theory of linear algebra. The first 11 chapters introduce the central results and applications of the theory of modules. Subsequent chapters deal with advanced linear algebra, including multilinear and tensor algebra, and explore such topics as the exterior product approach to the determinants of matrices, a module-theoretic approach to the structure of finitely generated Abelian groups, canonical forms, and normal transformations. Suitable for undergraduate courses, the text now includes a proof of the celebrated Wedderburn-Artin theorem which determines the structure of simple Artinian rings.
Author: Mike Prest
Publisher: Cambridge University Press
ISBN: 0521348331
Category : Mathematics
Languages : en
Pages : 402
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Book Description
In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time.
Author: Douglas Fisher
Publisher: Corwin Press
ISBN: 1071838350
Category : Education
Languages : en
Pages : 219
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Book Description
Effective teaching is effective teaching, no matter where it occurs The pandemic teaching of mid-2020 was not really distance learning, but rather crisis teaching. But starting now, teachers have the opportunity to prepare for distance learning with purpose and intent—using what works best to accelerate students’ learning all the while maintaining an indelible focus on equity. Harnessing the insights and experience of renowned educators Douglas Fisher, Nancy Frey, and John Hattie, The Distance Learning Playbook applies the wisdom and evidence of VISIBLE LEARNING® research to understand what works best with distance learning. Spanning topics from teacher-student relationships, teacher credibility and clarity, instructional design, assessments, and grading, this comprehensive playbook details the research- and evidence-based strategies teachers can mobilize to deliver high- impact learning in an online, virtual, and distributed environment. This powerful guide includes: Learning Intentions and Success Criteria for each module to track your own learning and model evidence-based teacher practices for meaningful learning A diversity of instructional approaches, including direct instruction, peer learning, and independent work that foster student self-regulation and move learning to deep and transfer levels Discussion of equity challenges associated with distance learning, along with examples of how teachers can work to ensure that equity gains that have been realized are not lost. Special guidance for teachers of young children who are learning from a distance Videos of the authors and teachers discussing a wide variety of distance learning topics Space to write and reflect on current practices and plan future instruction The Distance Learning Playbook is the essential hands-on guide to preparing and delivering distance learning experiences that are truly effective and impactful. To purchase from an Authorized Corwin Distributor click here. A Spanish translation of the Distance Learning Playbook, Grades K-12, Aprendizaje a Distancia Guia, Guia de Preescolar a Bachillerator, can be purchased by contacting Irene Yepez from Editorial Trillas at
[email protected].
Author: Armand Borel
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 382
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Book Description
Presented here are recent developments in the algebraic theory of D-modules. The book contains an exposition of the basic notions and operations of D-modules, of special features of coherent, holonomic, and regular holonomic D-modules, and of the Riemann-Hilbert correspondence. The theory of Algebraic D-modules has found remarkable applications outside of analysis proper, in particular to infinite dimensional representations of semisimple Lie groups, to representations of Weyl groups, and to algebraic geometry.
Author: John Clark
Publisher: Springer Science & Business Media
ISBN: 3764375736
Category : Mathematics
Languages : en
Pages : 403
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Book Description
Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. This duality exhibits a certain asymmetry. While the theory of extending modules is well documented in monographs and text books, the purpose of this monograph is to provide a thorough study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules.
Author: Nguyen Viet Dung
Publisher: Routledge
ISBN: 1351449095
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right. Within module theory, the concept of injective modules is particularly important. Extending modules form a natural class of modules which is more general than the class of injective modules but retains many of its
Author: Robert Wisbauer
Publisher: Routledge
ISBN: 1351447351
Category : Mathematics
Languages : en
Pages : 619
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Book Description
This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating study for those new to the subject as well as for researchers and serves as a reference volume. Starting form a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. For a module M, the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category. Developing the techniques in o[M] is no more complicated than in full module categories and the higher generality yields significant advantages: for example, module theory may be developed for rings without units and also for non-associative rings. Numerous exercises are included in this volume to give further insight into the topics covered and to draw attention to related results in the literature.
Author: T.Y. Lam
Publisher: Springer Science & Business Media
ISBN: 0387488995
Category : Mathematics
Languages : en
Pages : 427
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Book Description
This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. It is the companion volume to GTM 189. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.
Author: Richard O. Straub
Publisher: Macmillan
ISBN: 9780716783527
Category : Psychology
Languages : en
Pages : 164
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Book Description
This full-color booklet--available for free when shrink-wrapped with the book or Study Guide--offers fill-in-the-blank style concept charts that allow students to apply their understanding of the concepts to real-life situations(with answers in an appendix). Some of the Concept Reviews focus on the biopsychosocial approach, thus extending the levels of analysis theme that David Myers has further applied in the text, for this edition.
