Numbers And Their Properties
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Numbers And Functions
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Author : R. P. Burn
language : en
Publisher: Cambridge University Press
Release Date : 2015-02-19
Numbers And Functions written by R. P. Burn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-19 with Mathematics categories.
A revised and updated edition, providing hundreds of exercises to help students gradually transition from school to university-level calculus.
A Brief History Of Numbers
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Author : Leo Corry
language : en
Publisher: OUP Oxford
Release Date : 2015-08-27
A Brief History Of Numbers written by Leo Corry and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-27 with Mathematics categories.
The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century. Focusing on both foundational debates and practical use numbers, and showing how the story of numbers is intimately linked to that of the idea of equation, this book provides a valuable insight to numbers for undergraduate students, teachers, engineers, professional mathematicians, and anyone with an interest in the history of mathematics.
The Materiality Of Numbers
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Author : Karenleigh A. Overmann
language : en
Publisher: Cambridge University Press
Release Date : 2023-05-25
The Materiality Of Numbers written by Karenleigh A. Overmann and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-25 with Mathematics categories.
This book addresses the material devices used to represent and manipulate numerical concepts. Fingers, tallies, tokens, and written notations, invented in both ancestral and contemporary societies, explain what numbers are, why they are the way they are, and how we get them.
Local Mathematics For Local Physics From Number Scaling To Guage Theory And Cosmology
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Author : Paul Benioff
language : en
Publisher: World Scientific
Release Date : 2024-01-19
Local Mathematics For Local Physics From Number Scaling To Guage Theory And Cosmology written by Paul Benioff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-19 with Mathematics categories.
The language of the universe is mathematics, but how exactly do you know that all parts of the universe 'speak' the same language? Benioff builds on the idea that the entity that gives substance to both mathematics and physics is the fundamental field, called the 'value field'. While exploring this idea, he notices the similarities that the value field shares with several mysterious phenomena in modern physics: the Higgs field, and dark energy.The author first introduces the concept of the value field and uses it to reformulate the basic framework of number theory, calculus, and vector spaces and bundles. The book moves on to find applications to classical field theory, quantum mechanics and gauge theory. The last two chapters address the relationship between theory and experiment, and the possible physical consequences of both the existence and non-existence of the value field. The book is open-ended, and the list of open questions is certainly longer than the set of proposed answers.Paul Benioff, a pioneer in the field of quantum computing and the author of the first quantum-mechanical description of the Turing machine, devoted the last few years of his life to developing a universal description in which mathematics and physics would be on equal footing. He died on March 29, 2022, his work nearly finished. The final editing was undertaken by Marek Czachor who, in the editorial afterword, attempts to place the author's work in the context of a shift in the scientific paradigm looming on the horizon.
A First Course In Mathematical Analysis
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Author : David Alexander Brannan
language : en
Publisher: Cambridge University Press
Release Date : 2006-08-17
A First Course In Mathematical Analysis written by David Alexander Brannan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-17 with Mathematics categories.
Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard university course on the subject.
Encyclopaedia Of Mathematics
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Author : M. Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-12-01
Encyclopaedia Of Mathematics written by M. Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
According To The Book
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Author : Gilbert A. Valverde
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-08
According To The Book written by Gilbert A. Valverde and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-08 with Education categories.
How are curriculum policies translated into opportunities to learn in the classroom? According to the Book presents findings from the largest cross-national study of textbooks carried out to date - the curriculum analysis of the 1995 Third International Mathematics and Science Study (TIMSS). This study included a detailed, page-by-page, inventory of the mathematics and science content, pedagogy, and other characteristics collected from hundreds of textbooks in over forty countries. Drawing on these data, the authors investigate the rhetorical and pedagogical features of textbooks to understand how they promote and constrain educational opportunities. They investigate how textbooks are constructed and how they structure diverse elements into prescriptions for teaching practice. The authors break new ground in understanding textbooks in terms of different educational opportunities that they make possible. The book examines policy implications from these new understandings. In particular, conclusions are offered regarding the role of textbooks in curriculum-driven educational reform, in light of their role as promoters of qualitatively distinct educational opportunities.
Examining The Examinations
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Author : E.D. Britton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Examining The Examinations written by E.D. Britton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.
Examining the Examinations looks at the required advanced science and mathematics examinations taken by university-bound students in seven countries. This research focuses on topics covered, types of questions used, and performance expected from students. The book concentrates on comparisons of the examinations, illustrating their similarities and differences with selected questions taken from the actual examinations. The international comparisons presented offer a window on educational `laboratories' in seven countries.
Number Systems
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Author : Anthony Kay
language : en
Publisher: CRC Press
Release Date : 2025-09-04
Number Systems written by Anthony Kay and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-09-04 with Mathematics categories.
Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs. The book continually seeks to build upon students' intuitive ideas of how numbers and arithmetic work, and to guide them towards the means to embed this natural understanding into a more structured framework of understanding. The author’s motivation for writing this book is that most previous texts, which have complete coverage of the subject, have not provided the level of explanation needed for first-year students. On the other hand, those that do give good explanations tend to focus broadly on Foundations or Analysis and provide incomplete coverage of Number Systems. Features Approachable for first year undergraduates, but still of interest to more advanced students and postgraduates Does not merely present definitions, theorems and proofs, but also motivates them in terms of intuitive knowledge and discusses methods of proof Draws attention to connections with other areas of mathematics Plenty of exercises for students, both straightforward problems and more in-depth investigations Introduces many concepts that are required in more advanced topics in mathematics New to the second edition Complete solutions to all exercises, and hints for the in-depth investigations Extensive changes to chapters 4 and 5, including defining integral domains as distinct from commutative rings, a more complete discussion of irreducibles, primes and unique factorisation, and more topics in elementary number theory A completely revised chapter 8, giving a more coherent account of quadratic rings and their unique (or non-unique) factorisation properties A thorough correction of typos and errors across all chapters Updates to the bibliography
Wonderland Of Numbers Vol 1
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Author : S.C. Gupta
language : en
Publisher: Sultan Chand & Sons
Release Date : 2022-01-19
Wonderland Of Numbers Vol 1 written by S.C. Gupta and has been published by Sultan Chand & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-19 with Juvenile Fiction categories.
The book, a result of extensive research on numbers is intended for the general public - even for those who are not so enthusiastic about mathematics. It conveys the message that mathematics is a very exciting and interesting subject. Numbers possess some amazing properties which will not only amaze you but also provide thrill, excitement, fun and keep you spellbound. The mathematical ideas in the book provide hours, days, and months, if not years of “entertaining numbers”. Moreover, it will also result in increasing the general knowledge of the readers. The book takes you through a thrilling, stimulating, and adventurous voyage of exploration into the realm of numbers.