Constructing Numbers: A Creative and Connected Approach

Constructing Numbers: A Creative and Connected Approach

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  • Author: Mark Daniels
  • Publisher: Cognella Academic Publishing
  • ISBN: 9781631894602
  • Category :
  • Languages : en
  • Pages :

The discovery-based Constructing Numbers: An Inquiry-Based Capstone Mathematics Course helps students synthesize material from elementary analysis, linear algebra, algebraic structures, and geometry while providing perspective on how mathematical thought has developed. The book opens with the history of numbers. It moves on to cover axiomatic systems, real, complex, and constructible numbers, and an algebraic formulation of field construction. The final chapters are devoted to finite fields, probability, and permutation groups. By actively participating in the exercises and proofs, students learn how the material progresses in a logical way. They master the content by doing the work and presenting their results. Working through Constructing Numbers gives students a deeper understanding of the discipline of mathematics. They understand the importance of moving beyond a strictly mechanical approach to "doing" mathematics and to instead ask "why" mathematical processes are as they are. Intended for one-semester upper-division classes, Constructing Numbers can be used in capstone courses in the major, or classes for pre-service secondary mathematics teachers.


Compiler Construction

Compiler Construction

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  • Author: David A. Watt
  • Publisher: Springer
  • ISBN: 3540464239
  • Category : Computers
  • Languages : en
  • Pages : 309

ETAPS2000 was the third instance of the EuropeanJoint Conferenceson Theory and Practice of Software. ETAPS is an annual federated conference that was established in 1998 by combining a number of existing and new conferences. This year it comprised ?ve conferences (FOSSACS, FASE, ESOP, CC, TACAS), ?ve satellite workshops (CBS, CMCS, CoFI, GRATRA, INT), seven invited lectures, a panel discussion, and ten tutorials. The events that comprise ETAPS address various aspects of the system - velopment process, including speci?cation, design, implementation, analysis, and improvement. The languages, methodologies, and tools which support these - tivities are all well within its scope. Di?erent blends of theory and practice are represented, with an inclination towards theory with a practical motivation on one hand and soundly-based practice on the other. Many of the issues involved in software design apply to systems in general, including hardware systems, and the emphasis on software is not intended to be exclusive.


Compiler Construction

Compiler Construction

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  • Author: Albert Cohen
  • Publisher: Springer
  • ISBN: 3642548075
  • Category : Computers
  • Languages : en
  • Pages : 251

This book constitutes the proceedings of the 23rd International Conference on Compiler Construction, CC 2014, which was held as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2014, which took place in Grenoble, France, in April 2014. The 10 full papers and 4 tool papers included in this volume were carefully reviewed and selected from 47 submissions; the book also contains one invited talk. The papers are organized in topical sections named: program analysis and optimization; parallelism and parsing and new trends in compilation.


The Bargaining Structure in Construction

The Bargaining Structure in Construction

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  • Author: United States. Labor-Management Services Administration
  • Publisher:
  • ISBN:
  • Category : Collective bargaining
  • Languages : en
  • Pages : 84


Integrated Cost and Schedule Control for Construction Projects

Integrated Cost and Schedule Control for Construction Projects

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  • Author: Frederick W. Mueller
  • Publisher: Springer Science & Business Media
  • ISBN: 1461597501
  • Category : Science
  • Languages : en
  • Pages : 517

Management and administrative processes within the construction industry have been undergoing major changes in the last several decades. These changes have involved significant adjustments in management science and manage ment techniques, brought about by the need for contemporary valid informa tion with which to manage the construction process. In short, management in the construction industry is changing significantly; change will continue at an accelerated pace at least through the next decade. The responses required of construction industry management are now resulting in a movement away from an entrepreneurial management style to professional management tech niques and procedures. THE COMPELLING ECONOMIC ISSUES The issues forcing these changes are economic. The rising costs of construction and of money are forcing the buyers of construction services to be more demanding. Their demands are for more construction economies, more pro duction, and more productivity than at any time in the past. Nowhere has this been more evident than in the Business Roundtable on construction and in the response of the construction industry to it.· To be successfully responsive, management in the construction industry will be required to use the best project management methods available for cost control, schedule control, and for financial and accounting controls. But responsive professional management can survive and will flourish within this more demanding eco nomic environment.


Constructing Number

Constructing Number

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  • Author: Anderson Norton
  • Publisher: Springer
  • ISBN: 9783030004903
  • Category : Education
  • Languages : en
  • Pages : 0

The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.


Construction Reports

Construction Reports

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  • Author:
  • Publisher:
  • ISBN:
  • Category : Housing
  • Languages : en
  • Pages : 484


A Listing of Minority Construction Contractors and Housing Professionals in Albuquerque, New Mexico

A Listing of Minority Construction Contractors and Housing Professionals in Albuquerque, New Mexico

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  • Author: United States. Department of Housing and Urban Development. Office of the Assistant Secretary for Equal Opportunity
  • Publisher:
  • ISBN:
  • Category :
  • Languages : en
  • Pages : 188


eWork and eBusiness in Architecture, Engineering and Construction

eWork and eBusiness in Architecture, Engineering and Construction

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  • Author: Attila Dikbas
  • Publisher: Taylor & Francis
  • ISBN: 1134241267
  • Category : Technology & Engineering
  • Languages : en
  • Pages : 698

Biannually since 1994, the European Conference on Product and Process Modelling in the Building and Construction Industry has provided a review of research, given valuable future work outlooks, and provided a communication platform for future co-operative research and development at both European and global levels.This volume, of special interest t


The Construction of the Great Pyramid of Giza according to Herodotus / Der Bau der Cheops-Pyramide nach Herodot

The Construction of the Great Pyramid of Giza according to Herodotus / Der Bau der Cheops-Pyramide nach Herodot

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  • Author: Hartwig Munt
  • Publisher: BoD – Books on Demand
  • ISBN: 3732218953
  • Category : History
  • Languages : de
  • Pages : 286

For centuries, man has puzzled over the construction of the Great Pyramid of Giza. How was it possible to break up, process and transport a total of 6 million tonnes of heavy stones, making up a total of 2.3 million cubic metres of stone, and putting them together to make a structure of such dimensions during the reign of just one pharaoh 4500 years ago? These technical questions will be physically answered in this paper with reference to relevant archaeological and Egyptological scientific knowledge. The Greek historian Herodotus passed on the key to the wonder of pyramid construction, according to which the Egyptian pyramids were built with “machines" made of "wooden pieces". The paper at hand is the first that manages to reconstruct the machines described by Herodotus. The technique was mathematically proven and tested on a 1:5 scale model. Seit Jahrtausenden rätselt die Menschheit über den Bau der Cheops-Pyramide. Wie war es vor 4500 Jahren möglich, die zusammengenommen 6 Millionen Tonnen schweren Steinmassen aus 2,3 Millionen Kubikmetern Stein in der Spanne der Regierungszeit eines Pharaos zu brechen, zu bearbeiten, zu transportieren und zu einem Bauwerk diesen Ausmaßes zusammenzufügen? Diese technischen Fragen werden in der vorliegenden Arbeit unter Anknüpfung an die einschlägigen archäologischen und ägyptologischen Erkenntnisse der Wissenschaft physikalisch gelöst. Den Schlüssel für das Wunder des Pyramidenbaus hat uns der griechische Geschichtsschreiber Herodot überliefert. Danach wurden die ägyptischen Pyramiden mit „Maschinen“ aus „Holzstücken“ gebaut. Mit der vorliegenden Arbeit gelingt es erstmalig, die von Herodot überlieferten Geräte zu rekonstruieren. Das Verfahren wurde am Modell im Maßstab 1:5 erprobt und mathematisch bewiesen.