Elementary Concepts of Topology PDF Download

Author: Paul Alexandroff
Publisher: Courier Corporation
ISBN: 0486155064
Category : Mathematics
Languages : en
Pages : 68

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Book Description
Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.

Author: B.H. Arnold
Publisher: Courier Corporation
ISBN: 0486275760
Category : Mathematics
Languages : en
Pages : 194

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Book Description
Classroom-tested and much-cited, this concise text is designed for undergraduates. It offers a valuable and instructive introduction to the basic concepts of topology, taking an intuitive rather than an axiomatic viewpoint. 1962 edition.

Author: Julie Stern
Publisher: Corwin Press
ISBN: 150637722X
Category : Education
Languages : en
Pages : 251

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Book Description
Harness natural curiosity for conceptual understanding! Nurture young learners’ innate curiosity about the world and bring intellectual rigor throughout the developmental stages of childhood. Concept-based teaching helps students uncover conceptual relationships and transfer them to new problems. Readers of this must-have road map for implementing concept-based teaching in elementary classrooms will learn • Why conceptual learning is a natural fit for children • Strategies for introducing conceptual learning • Instructional strategies to help students uncover and transfer concepts • How to write lessons, assess understanding, and differentiate in a concept-based classroom • How concept-based teaching aligns with best practices and initiatives

Author: Raymond L. Wilder
Publisher: Courier Corporation
ISBN: 0486490610
Category : Mathematics
Languages : en
Pages : 242

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Book Description
Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events. Starting with a brief consideration of preliminary notions, this study explores the early evolution of numbers, the evolution of geometry, and the conquest of the infinite as embodied by real numbers. A detailed look at the processes of evolution concludes with an examination of the evolutionary aspects of modern mathematics.

Author: Jose Garrido
Publisher: CRC Press
ISBN: 1439867399
Category : Mathematics
Languages : en
Pages : 331

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Book Description
With an emphasis on problem solving, this book introduces the basic principles and fundamental concepts of computational modeling. It emphasizes reasoning and conceptualizing problems, the elementary mathematical modeling, and the implementation using computing concepts and principles. Examples are included that demonstrate the computation and visualization of the implemented models. The author provides case studies, along with an overview of computational models and their development. The first part of the text presents the basic concepts of models and techniques for designing and implementing problem solutions. It applies standard pseudo-code constructs and flowcharts for designing models. The second part covers model implementation with basic programming constructs using MATLAB®, Octave, and FreeMat. Aimed at beginning students in computer science, mathematics, statistics, and engineering, Introduction to Elementary Computational Modeling: Essential Concepts, Principles, and Problem Solving focuses on fundamentals, helping the next generation of scientists and engineers hone their problem solving skills.

Author: Quang Ho-Kim
Publisher: Springer Science & Business Media
ISBN: 3662037122
Category : Science
Languages : en
Pages : 676

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Book Description
The first part of this two-part work is intended as an introduction to the fundamentals, while the second part discusses applications from the point of view of the researcher. Lively illustrations and informative tables, an overview at the beginning of each chapter and exercises with solutions make this book a valuable resource.

Author: Richard Courant
Publisher:
ISBN: 9780195105193
Category : Juvenile Nonfiction
Languages : en
Pages : 596

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Book Description
The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.

Author: Michael Edward Peskin
Publisher: Oxford Master Physics
ISBN: 0198812183
Category : Science
Languages : en
Pages : 393

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Book Description
This particle physics textbook for senior undergraduates and early graduates explains the Standard Model of particle physics, both the theory and its experimental basis. The point of view is thoroughly modern. Theory relevant to the experiments is developed in detail but in a simplified way without needing full knowledge of quantum field theory.

Author: Nathan Winters
Publisher: Gibbs Smith
ISBN: 1586858297
Category : Architecture
Languages : en
Pages : 284

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Book Description
Awarded for its unique ink illustrations, this newly revised edition of Architecture is Elementary is a self-instruction book that concisely and coherently discusses the principles of architectural design. Stimulating lessons challenge the lay person and trigger creative responses. New features include a fresh design and layout, 50 new illustrations of recent and planned buildings, and new lessons that update the book for the world of twenty-first-century architecture. Author Nathan Winters explains the rationale for developers choosing to build higher and taller with modern high-rises, and explores the engineering challenges for such giant structures. He also addresses the dangers of such adventurous design in this century, including becoming tempting targets for terrorists. Architecture is Elementary also explores issues surrounding modern landscape architecture, as Winters looks at the impact of green design and cities that seek to reclaim useless spaces (such as inactive railroad lines), converting them into parks for urban use. He also explores the financial and economic benefits of beautified landscape. The new layout, new lesson materials, and current examples of future thinking in the world of architecture make this a must-have for every serious teacher, student, and practitioner of architecture.

Author: James E. Schwartz
Publisher: Allyn & Bacon
ISBN:
Category : Education
Languages : en
Pages : 340

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Book Description
Schwartz Powerful Ideas in Elementary Mathematics: Pedagogical Content Knowledge for Teachers, 1/e ISBN: 0205493750 "This book would be a great tool for helping [today's future elementary teachers] acquire a 'gut level' understanding of mathematics concepts." - Hester Lewellen, Baldwin-Wallace College, OH "The writing in this text is very clear and would easily be understood by the intended audience. The real-world examples put the various math concepts into a context that is easily understood. The vignettes at the beginning of each chapter are interesting and they get the reader to begin thinking about the math concepts that will follow. Each of the chapters seem to build on one another and the author often refers back to activities and concepts from previous chapters which is meaningful to the reader because it lets the reader know that the information they are learning builds their conceptual understanding of other mathematical concepts. " - Melany L. Rish, University of South Carolina, Aiken Organized around five key concepts or "powerful ideas" in mathematics, this text presents elementary mathematics content in a concise and nonthreatening manner for teachers. Designed to sharpen teachers' mathematics pedagogical content knowledge, the friendly writing style and vignettes relate math concepts to "real life" situations so that they may better present the content to their students. The five "powerful ideas" (composition, decomposition, relationships, representation, and context) provide an organizing framework and highlight the interconnections between mathematics topics. In addition, the text thoroughly integrates discussion of the five NCTM process strands. Features: Icons highlighting the NCTM process standards appear throughout the book to indicate where the text relates to each of these. Practice exercises and activities and their explanations reinforce math concepts presented in the text and provide an opportunity for reflection and practice. Concise, conversational chapters and opening vignettes present math contents simply enough for even the most math-anxious pre-service teachers.