Harold; diSessa, Andrea Abelson's Turtle Geometry: The Computer as a Medium for Exploring PDF

By Harold; diSessa, Andrea Abelson

ISBN-10: 0262010631

ISBN-13: 9780262010634

ISBN-10: 0262510375

ISBN-13: 9780262510370

Turtle Geometry provides an leading edge application of mathematical discovery that demonstrates how the powerful use of non-public desktops can profoundly switch the character of a student's touch with arithmetic. utilizing this booklet and some uncomplicated laptop courses, scholars can discover the houses of house by way of following an imaginary turtle around the monitor. the idea that of turtle geometry grew out of the brand staff at MIT. Directed through Seymour Papert, writer of Mindstorms, this staff has performed broad paintings with preschool little ones, highschool scholars and college undergraduates.

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By Harold; diSessa, Andrea Abelson

ISBN-10: 0262010631

ISBN-13: 9780262010634

ISBN-10: 0262510375

ISBN-13: 9780262510370

Turtle Geometry provides an leading edge application of mathematical discovery that demonstrates how the powerful use of non-public desktops can profoundly switch the character of a student's touch with arithmetic. utilizing this booklet and some uncomplicated laptop courses, scholars can discover the houses of house by way of following an imaginary turtle around the monitor. the idea that of turtle geometry grew out of the brand staff at MIT. Directed through Seymour Papert, writer of Mindstorms, this staff has performed broad paintings with preschool little ones, highschool scholars and college undergraduates.

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Read e-book online Quantum geometry: a statistical field theory approach PDF

By Jan Ambjørn, Bergfinnur Durhuus, Thordur Jonsson

ISBN-10: 0521461677

ISBN-13: 9780521461672

This graduate point textual content describes in a unified style the statistical mechanics of random walks, random surfaces and random better dimensional manifolds with an emphasis at the geometrical facets of the speculation and functions to the quantization of strings, gravity and topological box conception. With chapters on random walks, random surfaces, two-and higher-dimensional quantum gravity, topological quantum box theories and Monte Carlo simulations of random geometries, the textual content offers a self-contained account of quantum geometry from a statistical box concept standpoint. The method makes use of discrete approximations and develops analytical and numerical instruments. Continuum physics is recovered via scaling limits at part transition issues and the relation to conformal quantum box theories coupled to quantum gravity is defined. crucial numerical paintings is roofed, however the major objective is to increase mathematically distinctive effects that experience large purposes. Many diagrams and references are incorporated.

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By Jan Ambjørn, Bergfinnur Durhuus, Thordur Jonsson

ISBN-10: 0521461677

ISBN-13: 9780521461672

This graduate point textual content describes in a unified style the statistical mechanics of random walks, random surfaces and random better dimensional manifolds with an emphasis at the geometrical facets of the speculation and functions to the quantization of strings, gravity and topological box conception. With chapters on random walks, random surfaces, two-and higher-dimensional quantum gravity, topological quantum box theories and Monte Carlo simulations of random geometries, the textual content offers a self-contained account of quantum geometry from a statistical box concept standpoint. The method makes use of discrete approximations and develops analytical and numerical instruments. Continuum physics is recovered via scaling limits at part transition issues and the relation to conformal quantum box theories coupled to quantum gravity is defined. crucial numerical paintings is roofed, however the major objective is to increase mathematically distinctive effects that experience large purposes. Many diagrams and references are incorporated.

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Download e-book for iPad: Knots '96: Proceedings Tokyo, 1996 by S. Suzuki

By S. Suzuki

ISBN-10: 9810230931

ISBN-13: 9789810230937

This is often the lawsuits of a world workshop on knot conception held in July 1996 at Waseda collage convention Centre. It was once geared up through the overseas learn Institute of Mathematical Society of Japan. The workshop used to be attended by means of approximately a hundred and eighty mathematicians from Japan and 14 different international locations. such a lot of them have been experts in knot conception. the quantity includes forty three papers, which take care of major present study in knot thought, low-dimensional topology and comparable subject matters. the amount comprises papers by means of the subsequent invited audio system: G. Burde, T. Deguchi, R. Fenn, L.H. Kauffman, J. Levine, J.M. Montesinos(-A), H.R. Morton, okay. Murasugi, T. Soma and D.W. Sumners.

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By S. Suzuki

ISBN-10: 9810230931

ISBN-13: 9789810230937

This is often the lawsuits of a world workshop on knot conception held in July 1996 at Waseda collage convention Centre. It was once geared up through the overseas learn Institute of Mathematical Society of Japan. The workshop used to be attended by means of approximately a hundred and eighty mathematicians from Japan and 14 different international locations. such a lot of them have been experts in knot conception. the quantity includes forty three papers, which take care of major present study in knot thought, low-dimensional topology and comparable subject matters. the amount comprises papers by means of the subsequent invited audio system: G. Burde, T. Deguchi, R. Fenn, L.H. Kauffman, J. Levine, J.M. Montesinos(-A), H.R. Morton, okay. Murasugi, T. Soma and D.W. Sumners.

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Download e-book for kindle: Methods of Information Geometry by Shun-Ichi Amari, Hiroshi Nagaoka

By Shun-Ichi Amari, Hiroshi Nagaoka

ISBN-10: 0821805312

ISBN-13: 9780821805312

Details geometry, which started as an research of the typical differential geometric constitution possessed by way of households of chance distributions, is out there the following in a whole therapy, translated from the unique 1993 paintings in eastern. the subject is acceptable to details idea, stochastic strategies, and platforms, together with neurocomputing. The authors, who think a few wisdom of information, structures conception and data thought, commence with an creation to differential geometry and the idea of twin connections, earlier than describing statistical inference, geometry of time sequence and linear platforms, multiterminal info idea and statistical inference, info geometry for quantum platforms, concluding with a grab-bag of purposes together with geometry of convex research, linear programming and gradient flows, neuro-manifolds and nonlinear platforms, lie teams and transformation types.

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By Shun-Ichi Amari, Hiroshi Nagaoka

ISBN-10: 0821805312

ISBN-13: 9780821805312

Details geometry, which started as an research of the typical differential geometric constitution possessed by way of households of chance distributions, is out there the following in a whole therapy, translated from the unique 1993 paintings in eastern. the subject is acceptable to details idea, stochastic strategies, and platforms, together with neurocomputing. The authors, who think a few wisdom of information, structures conception and data thought, commence with an creation to differential geometry and the idea of twin connections, earlier than describing statistical inference, geometry of time sequence and linear platforms, multiterminal info idea and statistical inference, info geometry for quantum platforms, concluding with a grab-bag of purposes together with geometry of convex research, linear programming and gradient flows, neuro-manifolds and nonlinear platforms, lie teams and transformation types.

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