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Author:
Publisher:
ISBN:
Category : Australia
Languages : en
Pages : 1400
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Book Description
Author:
Publisher:
ISBN:
Category : Australia
Languages : en
Pages : 1400
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Book Description
Author: Avi Wigderson
Publisher: Princeton University Press
ISBN: 0691189137
Category : Computers
Languages : en
Pages : 434
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Book Description
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Author: Bowker
Publisher: Bowker-Saur
ISBN: 9781864520156
Category : Reference
Languages : en
Pages : 888
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Book Description
"...excellent coverage...essential to worldwide bibliographic coverage."--AMERICAN REFERENCE BOOKS ANNUAL. This comprehensive reference provides current finding & ordering information on more than 75,000 in-print books published in or about Australia, or written by Australian authors, organized by title, author, & keyword. You'll also find brief profiles of more than 7,000 publishers & distributors whose titles are represented, as well as information on trade associations, local agents of overseas publishers, literary awards, & more. From D.W. Thorpe.
Author: Sean McArdle
Publisher: Nelson Thornes
ISBN: 9780748763726
Category : Education
Languages : en
Pages : 136
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Book Description
Blueprints is the number one resource series for teachers and schools that offers complete curriculum coverage, excellent photocopiable material and unbeatable value. The books have extensive coverage of core and foundation subjects for National Curriculum and other UK curricula and are written specifically for the key stage you teach.
Author: Carl B. Boyer
Publisher: John Wiley & Sons
ISBN: 0470630566
Category : Mathematics
Languages : en
Pages : 695
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Book Description
The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
Author: Alan H. Schoenfeld
Publisher: Cambridge University Press
ISBN: 0521874920
Category : Juvenile Nonfiction
Languages : en
Pages : 412
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Book Description
Testing matters! It can determine kids' and schools' futures. In a conference at the Mathematical Sciences Research Institute, mathematicians, maths education researchers, teachers, test developers, and policymakers gathered to work through critical issues related to mathematics assessment. They examined: the challenges of assessing student learning in ways that support instructional improvement; ethical issues related to assessment, including the impact of testing on urban and high-poverty schools; the different (and sometimes conflicting) needs of the different groups; and different frameworks, tools, and methods for assessment, comparing the kinds of information they offer about students' mathematical proficiency. This volume presents the results of the discussions. It highlights the kinds of information that different assessments can offer, including many examples of some of the best mathematics assessments worldwide. A special feature is an interview with a student about his knowledge of fractions and a demonstration of what interviews (versus standardized tests) can reveal.
Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781534970748
Category :
Languages : en
Pages : 342
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Book Description
This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.
Author: Raz Kupferman
Publisher: World Scientific Publishing Company
ISBN: 9813108959
Category : Education
Languages : en
Pages : 302
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Book Description
'The exposition is exceptionally clear, and keeps its audience in mind: in the end, this is ‘a book for adults on mathematics for children’. ‘Adults’ here includes parents as well as teachers; in the author’s words, ‘Every parent is automatically an educator!’ There is considerable merit in including parents in the elementary mathematics conversation; it is a pleasure to see books like Kupferman’s that explain elementary math to adults. If our students, in their future role as teachers, can enlist parents as allies, everyone will benefit. These books are one good way to begin addressing that challenge.'MAA ReviewsThis book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities.Volume 2 focuses on content taught in the higher grades of elementary school. It covers the following topics: multiplication and division of multi-digit numbers, divisibility and primality, divisibility signs, sequences, fractions and their representations, and fraction arithmetic.The author is also a co-founder of Matific, an adaptive game-based teaching and learning tool for primary school mathematics. Independent studies have shown Matific to improve test scores, reduce maths anxiety, and increase motivation. Matific is available in 26 languages and aligned to mathematics curricula in 46 countries. Awards include Best Mathematics Instructional Solution, Best Game-Based Curriculum Solution and Best Educational App. For a trial, visit https://www.matific.com.
Author: Madhu Sahni
Publisher: Vikas Publishing House
ISBN: 9353383277
Category :
Languages : en
Pages :
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Book Description
The book meets the requirements of BEd students of various Indian universities and hence is useful for all those undergoing teacher training. The book will acquaint these students with mathematics as a school subject and provide them with a solid foundation to build their expertise in the teaching of the subject. For in-service teachers it serves to refresh the methodological knowledge and skills of imparting information.
Author: Lev Kantorovich
Publisher: Springer
ISBN: 3319278614
Category : Science
Languages : en
Pages : 689
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Book Description
This book covers the advanced mathematical techniques useful for physics and engineering students, presented in a form accessible to physics students, avoiding precise mathematical jargon and laborious proofs. Instead, all proofs are given in a simplified form that is clear and convincing for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each chapter. Mathematics for Natural Scientists II: Advanced Methods is the second of two volumes. It follows the first volume on Fundamentals and Basics.
