Maths 3B:P/B(Part 1)(My Pals are Here ) PDF Download

Author: Eric Lehman
Publisher:
ISBN: 9789888407064
Category : Business & Economics
Languages : en
Pages : 988

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Book Description
This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Author: Ngan Hoe Lee
Publisher:
ISBN: 9789814741897
Category : Mathematics
Languages : en
Pages : 97

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Book Description

Author: Thomas A. Romberg
Publisher: SUNY Press
ISBN: 9780791408995
Category : Mathematics
Languages : en
Pages : 380

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Book Description
Are current testing practices consistent with the goals of the reform movement in school mathematics? If not, what are the alternatives? How can authentic performance in mathematics be assessed? These and similar questions about tests and their uses have forced those advocating change to examine the way in which mathematical performance data is gathered and used in American schools. This book provides recent views on the issues surrounding mathematics tests, such as the need for valid performance data, the implications of the Curriculum and Evaluation Standards for School Mathematics for test development, the identification of valid items and tests in terms of the Standards, the procedures now being used to construct a sample of state assessment tests, gender differences in test taking, and methods of reporting student achievement.

Author: S.C. Gupta
Publisher: Sultan Chand & Sons
ISBN: 9351611736
Category : Mathematics
Languages : en
Pages : 22

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Book Description
Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Some prominent additions are given below: 1. Variance of Degenerate Random Variable 2. Approximate Expression for Expectation and Variance 3. Lyapounov’s Inequality 4. Holder’s Inequality 5. Minkowski’s Inequality 6. Double Expectation Rule or Double-E Rule and many others

Author: James Binney
Publisher: Oxford University Press, USA
ISBN: 0199688575
Category : Science
Languages : en
Pages : 408

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Book Description
This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.

Author: Ekkehard Kopp
Publisher: Open Book Publishers
ISBN: 1800640978
Category : Mathematics
Languages : en
Pages : 280

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Book Description
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.

Author: Edward Ashford Lee
Publisher: MIT Press
ISBN: 0262340526
Category : Computers
Languages : en
Pages : 562

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Book Description
An introduction to the engineering principles of embedded systems, with a focus on modeling, design, and analysis of cyber-physical systems. The most visible use of computers and software is processing information for human consumption. The vast majority of computers in use, however, are much less visible. They run the engine, brakes, seatbelts, airbag, and audio system in your car. They digitally encode your voice and construct a radio signal to send it from your cell phone to a base station. They command robots on a factory floor, power generation in a power plant, processes in a chemical plant, and traffic lights in a city. These less visible computers are called embedded systems, and the software they run is called embedded software. The principal challenges in designing and analyzing embedded systems stem from their interaction with physical processes. This book takes a cyber-physical approach to embedded systems, introducing the engineering concepts underlying embedded systems as a technology and as a subject of study. The focus is on modeling, design, and analysis of cyber-physical systems, which integrate computation, networking, and physical processes. The second edition offers two new chapters, several new exercises, and other improvements. The book can be used as a textbook at the advanced undergraduate or introductory graduate level and as a professional reference for practicing engineers and computer scientists. Readers should have some familiarity with machine structures, computer programming, basic discrete mathematics and algorithms, and signals and systems.

Author: Dr Fong Ho Kheong 외
Publisher:
ISBN: 9789810182250
Category : Mathematics
Languages : en
Pages : 72

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Author: W.H. Schmidt
Publisher: Springer Science & Business Media
ISBN: 0306472090
Category : Education
Languages : en
Pages : 202

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Book Description
A Splintered Vision: An Investigation of U.S. Science and Mathematics Education is the US report on the curriculum analysis component of the Third International Mathematics and Science Study (TIMSS) which was sponsored by the International Association for the Evaluation of Educational Achievement (IEA). The report summarizes data from the TIMSS curriculum analysis and integrates it with teacher questionnaire data from the US, Japan, and Germany on science and mathematics topic coverage and instructional practices. The authors of A Splintered Vision discuss and provide evidence of the unfocused nature of US mathematics and science curricular intentions, textbooks, and teacher practices. They offer the premise that producers of US textbooks and curriculum guides have attempted to answer calls for curricular reform by adding new content to already existing materials instead of devoting time to restructuring the materials. The authors also suggest that US teachers, inundated with a myriad of competing visions, are attempting to cover all the topics they confront in their resource documents and to meet all the instructional demands placed on them by those with a stake in education. In keeping with the `incremental assembly line' philosophy in American society, US teachers also tend to lean toward a piecemeal approach to education. The authors speculate on what such practices may mean for the mathematics and science achievement of US students. The work is sure to spur discussion among educational researchers, policy makers, and others concerned about the future of mathematics and science education in the US.

Author: Yung-kuo Lim
Publisher: World Scientific
ISBN: 9789810212988
Category : Science
Languages : en
Pages : 776

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Book Description
Newtonian mechanics : dynamics of a point mass (1001-1108) - Dynamics of a system of point masses (1109-1144) - Dynamics of rigid bodies (1145-1223) - Dynamics of deformable bodies (1224-1272) - Analytical mechanics : Lagrange's equations (2001-2027) - Small oscillations (2028-2067) - Hamilton's canonical equations (2068-2084) - Special relativity (3001-3054).