The Cosmic Calculator

The Cosmic Calculator

Author: Kenneth Williams

Publisher: Motilal Banarsidass Publishe

Published: 2002

Total Pages: 264

ISBN-13: 9788120818712

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The remarkable system of Vedic mathematics was created after careful study of ancient -Sanskrit texts early last century. The Vedic system with its direct, easy and flexible approach forms a complete system of mental, mathematics (though the methods can also' be written down) and brings out the naturally coherent and unified structure of mathematics. Many of the features and techniques of this unique system are truly amazing in their efficiency and originality. Being a mental system, Vedic Mathematics encourages creativity and innovation. Mental mathematics increases mental agility, improves memory, the ability to hold ideas in the mind and promotes confidence, as well as being of great practical use. This course consists of three textbooks an Answer Book and a Teacher's Guide. The course is aimed at 11-14 year old pupils though some of it is very suitable for children from 8 years. Vedic Mathematics is being taught in many schools world-wide with great success: many top mathematics prizes have been won by students of this system.


Vedic Mathematics

Vedic Mathematics

Author: Kenneth R. Williams

Publisher: Motilal Banarsidass Publishe

Published: 2005

Total Pages: 184

ISBN-13: 9788120827868

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Vedic Mathematics was reconstructed from ancient vedic texts early last century by Sri Bharati Tirthaji (1884-1960). It is a complete systems of mathematics which has many surprising properties and applies at all levels and areas of mathematics, pure and applied. The system is based on sixteen word-formulae that relate to the way in which we use our mind.


Geometry with an Introduction to Cosmic Topology

Geometry with an Introduction to Cosmic Topology

Author: Michael P. Hitchman

Publisher: Jones & Bartlett Learning

Published: 2009

Total Pages: 255

ISBN-13: 0763754579

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The content of Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have and edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics. This non-Euclidean geometry text is organized intothree natural parts. Chapter 1 provides an overview including a brief history of Geometry, Surfaces, and reasons to study Non-Euclidean Geometry. Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space. Finally chapters 1 and 8 introduce (chapter 1) and explore (chapter 8) the topic of cosmic topology through the geometry learned in the preceding chapters.


Information Theory, Inference and Learning Algorithms

Information Theory, Inference and Learning Algorithms

Author: David J. C. MacKay

Publisher: Cambridge University Press

Published: 2003-09-25

Total Pages: 694

ISBN-13: 9780521642989

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Information theory and inference, taught together in this exciting textbook, lie at the heart of many important areas of modern technology - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics and cryptography. The book introduces theory in tandem with applications. Information theory is taught alongside practical communication systems such as arithmetic coding for data compression and sparse-graph codes for error-correction. Inference techniques, including message-passing algorithms, Monte Carlo methods and variational approximations, are developed alongside applications to clustering, convolutional codes, independent component analysis, and neural networks. Uniquely, the book covers state-of-the-art error-correcting codes, including low-density-parity-check codes, turbo codes, and digital fountain codes - the twenty-first-century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, the book is ideal for self-learning, and for undergraduate or graduate courses. It also provides an unparalleled entry point for professionals in areas as diverse as computational biology, financial engineering and machine learning.


Physical Foundations of Cosmology

Physical Foundations of Cosmology

Author: Viatcheslav Mukhanov

Publisher: Cambridge University Press

Published: 2005-11-10

Total Pages: 454

ISBN-13: 1139447114

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Inflationary cosmology has been developed over the last twenty years to remedy serious shortcomings in the standard hot big bang model of the universe. This textbook, first published in 2005, explains the basis of modern cosmology and shows where the theoretical results come from. The book is divided into two parts; the first deals with the homogeneous and isotropic model of the Universe, the second part discusses how inhomogeneities can explain its structure. Established material such as the inflation and quantum cosmological perturbation are presented in great detail, however the reader is brought to the frontiers of current cosmological research by the discussion of more speculative ideas. An ideal textbook for both advanced students of physics and astrophysics, all of the necessary background material is included in every chapter and no prior knowledge of general relativity and quantum field theory is assumed.


e-Learning by Design

e-Learning by Design

Author: William Horton

Publisher: John Wiley & Sons

Published: 2011-01-20

Total Pages: 639

ISBN-13: 1118047125

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From William Horton -- a world renowned expert with more than thirty-five years of hands-on experience creating networked-based educational systems -- comes the next-step resource for e-learning training professionals. Like his best-selling book Designing Web-Based Training, this book is a comprehensive resource that provides practical guidance for making the thousand and one decisions needed to design effective e-learning. e-Learning by Design includes a systematic, flexible, and rapid design process covering every phase of designing e-learning. Free of academic jargon and confusing theory, this down-to-earth, hands-on book is filled with hundreds of real-world examples and case studies from dozens of fields. "Like the book's predecessor (Designing Web-based Training), it deserves four stars and is a must read for anyone not selling an expensive solution. -- From Training Media Review, by Jon Aleckson, www.tmreview.com, 2007


Learning to Think Spatially

Learning to Think Spatially

Author: National Research Council

Publisher: National Academies Press

Published: 2005-02-03

Total Pages: 333

ISBN-13: 0309092086

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Learning to Think Spatially examines how spatial thinking might be incorporated into existing standards-based instruction across the school curriculum. Spatial thinking must be recognized as a fundamental part of Kâ€"12 education and as an integrator and a facilitator for problem solving across the curriculum. With advances in computing technologies and the increasing availability of geospatial data, spatial thinking will play a significant role in the information-based economy of the twenty-first century. Using appropriately designed support systems tailored to the Kâ€"12 context, spatial thinking can be taught formally to all students. A geographic information system (GIS) offers one example of a high-technology support system that can enable students and teachers to practice and apply spatial thinking in many areas of the curriculum.