Author: John Ley
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description

Author: John Ley
Publisher:
ISBN: 9780195570328
Category : Mathematics
Languages : en
Pages : 544

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Book Description
Student BookOxford Insight Mathematics has been substantially revised to reflect the requirements of the Australian Curriculum: Mathematics in New South Wales.Oxford Insight Mathematics supports all students to succeed. The principles underpinning the development and structure of the series are:Peerless Mathematics content for student and educatorsClear and transparent identification of the desired understandings; content and instructional design mapped to deliver those understandingsCarefully considered introduction of concepts to optimise student understanding, retention and applicationInquiry focus to encourage students to discover patterns and concepts for themselvesPlenty of consolidation and reviewAssessment for, as and of learning

Author: John Ley
Publisher:
ISBN: 9780195522563
Category : Mathematics
Languages : en
Pages : 392

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Book Description
Oxford Insight Mathematics has been substantially revised to reflect the requirements of the Australian Curriculum: Mathematics in New South Wales.Oxford Insight Mathematics supports all students to succeed. The principles underpinning the development and structure of the series are:Peerless Mathematics content for student and educatorsClear and transparent identification of the desired understandings; content and instructional design mapped to deliver those understandingsCarefully considered introduction of concepts to optimise student understanding, retention and applicationInquiry focus to encourage students to discover patterns and concepts for themselvesPlenty of consolidation and reviewAssessment for, as and of learningThe obook is a cloud-based web-book available anywhere, anytime, on any device, navigated by topic or by 'page view'. assess provides 24/7 inquiry-based online tutorials designed to support student comprehension of key mathematical concepts via eTutors, Guided Examples and Test Yourself functionality. assess allows teachers to manage their classes by assigning work, tracking progress and planning assessments and instruction accordingly.

Author: Timothy Gowers
Publisher: OUP Oxford
ISBN: 0191579416
Category : Mathematics
Languages : en
Pages : 160

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Book Description
The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as "Is it true that mathematicians burn out at the age of 25?") ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Author: Peter M. Higgins
Publisher: OUP Oxford
ISBN: 019150050X
Category : Mathematics
Languages : en
Pages : 240

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Book Description
When do the hands of a clock coincide? How likely is it that two children in the same class will share a birthday? Should you play Roulette or the Lottery? How do we calculate the volume of a doughnut? Why does the android Data in Star Trek lose at poker? What is Fibonacci's Rabbit Problem? Many things in the world have a mathematical side to them, as revealed by the puzzles and questions in this book. It is written for anyone who is curious about mathematics and would like a simple and entertaining account of what it can do. Peter Higgins provides clear explanations of the more mysterious features of childhood mathematics as well as novelties and connections to prove that mathematics can be enjoyable and full of surprises.

Author: D. J. Acheson
Publisher: Oxford University Press, USA
ISBN: 9780198516231
Category : Mathematics
Languages : en
Pages : 200

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Book Description
This excellent book, written by the established author David Acheson, makes mathematics accessible to everyone. Providing an entertaining and witty overview of the subject, the text includes several fascinating puzzles, and is accompanied by numerous illustrations and sketches by world famouscartoonists. This unusual book is one of the most readable explanations of mathematics available.

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: Horst R. Thieme
Publisher: Princeton University Press
ISBN: 0691187657
Category : Science
Languages : en
Pages : 564

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Book Description
The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with an emphasis on helping the reader develop appropriate modeling skills through use of well-chosen and varied examples. Part I starts with unstructured single species population models, particularly in the framework of continuous time models, then adding the most rudimentary stage structure with variable stage duration. The theme of stage structure in an age-dependent context is developed in Part II, covering demographic concepts, such as life expectation and variance of life length, and their dynamic consequences. In Part III, the author considers the dynamic interplay of host and parasite populations, i.e., the epidemics and endemics of infectious diseases. The theme of stage structure continues here in the analysis of different stages of infection and of age-structure that is instrumental in optimizing vaccination strategies. Each section concludes with exercises, some with solutions, and suggestions for further study. The level of mathematics is relatively modest; a "toolbox" provides a summary of required results in differential equations, integration, and integral equations. In addition, a selection of Maple worksheets is provided. The book provides an authoritative tour through a dazzling ensemble of topics and is both an ideal introduction to the subject and reference for researchers.

Author: Jacqueline Stedall
Publisher: OUP Oxford
ISBN: 0191527718
Category : Mathematics
Languages : en
Pages : 680

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Book Description
Aimed at students and researchers in Mathematics, History of Mathematics and Science, this book examines the development of mathematics from the late 16th Century to the end of the 19th Century. Mathematics has an amazingly long and rich history, it has been practised in every society and culture, with written records reaching back in some cases as far as four thousand years. This book will focus on just a small part of the story, in a sense the most recent chapter of it: the mathematics of western Europe from the sixteenth to the nineteenth centuries. Each chapter will focus on a particular topic and outline its history with the provision of facsimiles of primary source material along with explanatory notes and modern interpretations. Almost every source is given in its original form, not just in the language in which it was first written, but as far as practicable in the layout and typeface in which it was read by contemporaries.This book is designed to provide mathematics undergraduates with some historical background to the material that is now taught universally to students in their final years at school and the first years at college or university: the core subjects of calculus, analysis, and abstract algebra, along with others such as mechanics, probability, and number theory. All of these evolved into their present form in a relatively limited area of western Europe from the mid sixteenth century onwards, and it is there that we find the major writings that relate in a recognizable way to contemporary mathematics.

Author: Warwick Marlin
Publisher:
ISBN: 9781741307863
Category : Mathematics
Languages : en
Pages : 338

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Book Description
"This book has been prepared in conjunction with the New National Curriculum for year 7 and covers the major 11 topics. It provides a very structured and clear idea of the new syllabus by relating similar concepts so that students can see how the topics fit together. There are explanations of the theoretical concepts as well as fully worked examples and applications. Finally, there are diagnostic tests at the end of each topic according to the following descriptions"--Understanding Maths website.