Probability and Statistics for Engineering and the Sciences
Probability and Statistics for Engineering and the Sciences

Author: Jay L. Devore

Publisher:

Published: 2008-02-27

Total Pages: 752

ISBN-13: 9780495557456

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This comprehensive introduction to probability and statistics will give you the solid grounding you need no matter what your engineering specialty. Through the use of lively and realistic examples, the author helps you go beyond simply learning about statistics to actually putting the statistical methods to use. Rather than focus on rigorous mathematical development and potentially overwhelming derivations, the book emphasizes concepts, models, methodology, and applications that facilitate your understanding.

Technology-Rich Learning Environments
Technology-Rich Learning Environments

Author: Myint Swe Khine

Publisher: World Scientific Publishing Company

Published: 2003-08-27

Total Pages: 400

ISBN-13: 9813102284

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The proliferation of information and communication technology tools in recent years has led many educators to revise the way they teach and structure their learning environments. The growth of technology applications in teaching and training is not only gaining momentum, it is becoming a significant part of today's educational scene. This book presents research and case studies to explain how these technology-rich learning environments can be structured and positive results can be achieved. The authors, based on their extensive research data present the pedagogical and organizational implications of technology-rich learning environments and, more importantly, they provide practical models, ideas and exemplars for educators to actualize the full potential of technology in the future.

Investigative Science Learning Environment
Investigative Science Learning Environment

Author: Eugenia Etkina

Publisher: Morgan & Claypool Publishers

Published: 2019-11-15

Total Pages: 137

ISBN-13: 1643277804

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The goal of this book is to introduce a reader to a new philosophy of teaching and learning physics - Investigative Science Learning Environment, or ISLE (pronounced as a small island). ISLE is an example of an "intentional" approach to curriculum design and learning activities (MacMillan and Garrison 1988 A Logical Theory of Teaching: Erotetics and Intentionality). Intentionality means that the process through which the learning occurs is as crucial for learning as the final outcome or learned content. In ISLE, the process through which students learn mirrors the practice of physics.

Active Learning Guide
Active Learning Guide

Author: Alan Van Heuvelen

Publisher: Pearson

Published: 2005-12-15

Total Pages: 0

ISBN-13: 9780805390780

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A series of discovery-based activities focused on building confidence with physics concepts and problem solving by helping to connect new ideas with existing knowledge. The student learns to evaluate, draw, diagram, and graph physics concepts.

Mirror Symmetry
Mirror Symmetry

Author: Kentaro Hori

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 954

ISBN-13: 0821829556

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This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.