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Author : Alan F. Beardon
Publisher : Cambridge University Press
Page : 129 pages
File Size : 44,7 Mb
Release : 2016-10-13
Category : Mathematics
ISBN : 9781316610565
Provides readers with experience of working on difficult unsolved problems. No deep mathematical background is required.
Author : Don Koks
Publisher : Springer Science & Business Media
Page : 549 pages
File Size : 50,9 Mb
Release : 2006-09-15
Category : Science
ISBN : 9780387309439
Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
Author : Nicola Yelland,Deborah Butler,Carmel Diezmann
Publisher : Cambridge University Press
Page : 297 pages
File Size : 41,8 Mb
Release : 2014-01-20
Category : Education
ISBN : 9781107618824
This book presents teachers with a sound theoretical framework for encouraging children to explore mathematical concepts and become numerate in the 21st century. It shows that mathematical learning can occur in a variety of ways, including when children explore ideas through play, problem solving and problem posing, engage in a rich variety of multimodal learning experiences, pursue self-directed activities and cooperate with others, and make connections between ideas and experiences in their everyday worlds. - Back cover
Author : Hiroko Warshauer,Terry McCabe,Max Leon Warshauer,Alex White
Publisher : Unknown
Page : 128 pages
File Size : 49,7 Mb
Release : 2024-06-18
Category : Algebra
ISBN : OCLC:1256529832
Author : Peter Tannenbaum
Publisher : Pearson
Page : 0 pages
File Size : 54,7 Mb
Release : 2014
Category : Mathematics
ISBN : 032182573X
"Disability and Academic Exclusion interrogates obstacles the disabled have encountered in education, from a historical perspective that begins with the denial of literacy to minorities in the colonial era to the later centuries' subsequent intolerance of writing, orality, and literacy mastered by former slaves, women, and the disabled. The text then questions where we stand today in regards to the university-wide rhetoric on promoting diversity and accommodating disability in the classroom." Amazon.com viewed 6/2/2020.
Author : Rozsa Peter
Publisher : Unknown
Page : 128 pages
File Size : 48,6 Mb
Release : 1986-01
Category : Electronic
ISBN : 0844652350
Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.
Author : Keith Ball
Publisher : Princeton University Press
Page : 269 pages
File Size : 47,6 Mb
Release : 2003
Category : Mathematics
ISBN : 9780691127972
How does mathematics enable us to send pictures from space back to Earth? Where does the bell-shaped curve come from? Why do you need only 23 people in a room for a 50/50 chance of two of them sharing the same birthday? In Strange Curves, Counting Rabbits, and Other Mathematical Explorations, Keith Ball highlights how ideas, mostly from pure math, can answer these questions and many more. Drawing on areas of mathematics from probability theory, number theory, and geometry, he explores a wide range of concepts, some more light-hearted, others central to the development of the field and used daily by mathematicians, physicists, and engineers. Each of the book's ten chapters begins by outlining key concepts and goes on to discuss, with the minimum of technical detail, the principles that underlie them. Each includes puzzles and problems of varying difficulty. While the chapters are self-contained, they also reveal the links between seemingly unrelated topics. For example, the problem of how to design codes for satellite communication gives rise to the same idea of uncertainty as the problem of screening blood samples for disease. Accessible to anyone familiar with basic calculus, this book is a treasure trove of ideas that will entertain, amuse, and bemuse students, teachers, and math lovers of all ages.
Author : Max Leon Warshauer,Hiroko Warshauer,Terence McCabe,Terry McCabe,Alex White
Publisher : Unknown
Page : 128 pages
File Size : 54,8 Mb
Release : 2013-01-01
Category : Algebra
ISBN : 1938858069
Author : Paul Kay
Publisher : Mit Press
Page : 304 pages
File Size : 50,7 Mb
Release : 1974-10-01
Category : Social Science
ISBN : 0262610191
This is an excellent sampling of mathematical, statistical, and computer techniques used by anthropologists to tackle a wide range of substantive problems.The scope of topics considered in this volume is so wide and various as to be an impressive indication of a strong future for mathematics in anthropology. Briefly, such topics include interinformant reliability, cultural distinctiveness in conceptual areas, cultural systems as mental systems of identification, classification, evaluation and action, diffusional versus functional explanations, general interaction theory, kinship terminologies as logical systems, folklore, cultural systems as systems of knowledge and belief, systemic culture patterns, endogamy/exogamy, genealogy, relation of social structure to relational terminology, cultural continuity, and cultural change.
Author : Michael A. Brilleslyper,Michael J. Dorff,Jane M. McDougall,James S. Rolf,Lisbeth E. Schaubroeck
Publisher : American Mathematical Soc.
Page : 373 pages
File Size : 54,8 Mb
Release : 2012-12-31
Category : Mathematics
ISBN : 9781614441083
Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.
Author : Bruce Shawyer
Publisher : World Scientific Publishing Company
Page : 320 pages
File Size : 40,5 Mb
Release : 2010-03-17
Category : Mathematics
ISBN : 9789813100947
This book covers the basic topics in geometry (including trigonometry) that are accessible and valuable to senior high school and university students. It also includes materials that are very useful for problem solving in mathematical competitions, from relatively easy to advanced levels, including the International Mathematical Olympiad.
Author : A.A. Hattangadi
Publisher : Universities Press
Page : 262 pages
File Size : 46,5 Mb
Release : 2002-05
Category : Mathematical recreations
ISBN : 8173713871
Author : Jerry Burkhart
Publisher : Advanced Common Core Math Expl
Page : 0 pages
File Size : 53,8 Mb
Release : 2014-09-30
Category : Education
ISBN : 161821263X
The investigations in this book stretch students' mathematical imaginations to their limits as they investigate the numeration systems of creatures from another planet, create and solve stories and problems with extreme numbers, use place value to design their own new divisibility strategies, and play with a strange kind of number line specially de
Author : Ronald W. Shonkwiler,Franklin Mendivil
Publisher : Springer Science & Business Media
Page : 249 pages
File Size : 53,6 Mb
Release : 2009-08-11
Category : Mathematics
ISBN : 9780387878379
Monte Carlo methods are among the most used and useful computational tools available today, providing efficient and practical algorithims to solve a wide range of scientific and engineering problems. Applications covered in this book include optimization, finance, statistical mechanics, birth and death processes, and gambling systems. Explorations in Monte Carlo Methods provides a hands-on approach to learning this subject. Each new idea is carefully motivated by a realistic problem, thus leading from questions to theory via examples and numerical simulations. Programming exercises are integrated throughout the text as the primary vehicle for learning the material. Each chapter ends with a large collection of problems illustrating and directing the material. This book is suitable as a textbook for students of engineering and the sciences, as well as mathematics.
Author : Max Leon Warshauer,Hiroko Warshauer,Terence McCabe,Terry McCabe,Alex White
Publisher : Unknown
Page : 128 pages
File Size : 44,5 Mb
Release : 2013-01-01
Category : Algebra
ISBN : 1938858077
