The Theory of Functions of Real Variables

The Theory of Functions of Real Variables PDF Author: Lawrence M Graves
Publisher: Courier Corporation
ISBN: 0486158136
Category : Mathematics
Languages : en
Pages : 361

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Book Description
This balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literature conclude each chapter. 1956 edition.

The Theory of Functions of Real Variables

The Theory of Functions of Real Variables PDF Author: Lawrence M Graves
Publisher: Courier Corporation
ISBN: 0486158136
Category : Mathematics
Languages : en
Pages : 361

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Book Description
This balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literature conclude each chapter. 1956 edition.

General Systems Theory: Mathematical Foundations

General Systems Theory: Mathematical Foundations PDF Author:
Publisher: Academic Press
ISBN: 008095622X
Category : Technology & Engineering
Languages : en
Pages : 283

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Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Set Theory: The Structure of Arithmetic

Set Theory: The Structure of Arithmetic PDF Author: Norman T. Hamilton
Publisher: Courier Dover Publications
ISBN: 0486830470
Category : Mathematics
Languages : en
Pages : 289

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Book Description
This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.

Introduction to Number Theory

Introduction to Number Theory PDF Author: Anthony Vazzana
Publisher: CRC Press
ISBN: 1584889381
Category : Computers
Languages : en
Pages : 530

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Book Description
One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topi

Theory and Practice of Lesson Study in Mathematics

Theory and Practice of Lesson Study in Mathematics PDF Author: Rongjin Huang
Publisher: Springer
ISBN: 3030040313
Category : Education
Languages : en
Pages : 856

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Book Description
This book brings together and builds on the current research efforts on adaptation, conceptualization, and theorization of Lesson Study (LS). It synthesizes and illustrates major perspectives for theorizing LS and enriches the conceptualization of LS by interpreting the activity as it is used in Japan and China from historical and cultural perspectives. Presenting the practices and theories of LS with practicing teachers and prospective teachers in more than 10 countries, it enables the reader to take a comparative perspective. Finally, the book presents and discusses studies on key aspects of LS such as lesson planning, post-lesson discussion, guiding theories, connection between research and practice, and upscaling. Lesson Study, which has originated in Asia as a powerful effective professional development model, has spread globally. Although the positive effects of lesson study on teacher learning, student learning, and curriculum reforms have been widely documented, conceptualization of and research on LS have just begun to emerge. This book, including 38 chapters contributed by 90 scholars from 21 countries, presents a truly international collaboration on research on and adaptation of LS, and significantly advances the development of knowledge about this process. Chapter 15: "How Variance and Invariance Can Inform Teachers’ Enactment of Mathematics Lessons" of this book is available open access under a CC BY 4.0 license at link.springer.com Theory and Practice of Lesson Study in Mathematics: An International Perspective shows that the power of Lesson Study to transform the role of teachers in classroom research cannot be explained by a simple replication model. Here we see Lesson Study being successful internationally when its key principles and practices are taken seriously and are adapted to meet local issues and challenges. (Max Stephens, Senior research fellow at The University of Melbourne) It works. Instruction improves, learning improves. Wide scale? Enduring? Deep impact? Lesson study has it. When something works as well as lesson study does, while alternative systems for improving instruction fail, or only succeed on small scale or evaporate as quickly as they show promise, it is time to understand how and why lesson study works. This volume brings the research on lesson study together from around the world. Here is what we already know and here is the way forward for research and practice informed by research. It is time to wake up and pay attention to what has worked so well, on wide scale for so long. (Phil Dara, A leading author of the Common Core State Standards of Mathematics in the U.S.)

Report of the Federal Security Agency

Report of the Federal Security Agency PDF Author: United States. Office of Education
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 1414

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Book Description


General Catalogue of the Books

General Catalogue of the Books PDF Author: Detroit Public Library
Publisher:
ISBN:
Category : Catalogs, Dictionary
Languages : en
Pages : 1138

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Book Description


Lectures, Discussions, and Proceedings ...

Lectures, Discussions, and Proceedings ... PDF Author: American Institute of Instruction. Meeting
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 260

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Book Description


School Arithmetic, in Theory and Practice; Adapted for the Use of Pupil Teachers, Students in Training, and the Upper Classes of Schools

School Arithmetic, in Theory and Practice; Adapted for the Use of Pupil Teachers, Students in Training, and the Upper Classes of Schools PDF Author: Charles Mansford
Publisher:
ISBN:
Category :
Languages : en
Pages : 306

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Book Description


Lectures delivered before the American Institute of Instruction ... including the journal of proceedings (slight variations)

Lectures delivered before the American Institute of Instruction ... including the journal of proceedings (slight variations) PDF Author: American Institute of Instruction
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 260

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Book Description