Sciencia

Sciencia PDF

Author: Matt Tweed

Publisher: Bloomsbury Publishing USA

Published: 2011-11-01

Total Pages: 417

ISBN-13: 0802778992

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Collects six short illustrated volumes covering topics in mathematics, physics, chemistry, biology, evolution, and astronomy.

Mathematics and the Natural Sciences

Mathematics and the Natural Sciences PDF

Author: Francis Bailly

Publisher: World Scientific

Published: 2011-03-04

Total Pages: 336

ISBN-13: 1908977795

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This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked to the main invariants and principles, among them the geodesic principle (a consequence of symmetries), which govern and confer unity to various physical theories. Moreover, an attempt is made to understand causal structures, a central element of physical intelligibility, in terms of both symmetries and symmetry breakings. A distinction between the principles of (conceptual) construction and of proofs, both in physics and in mathematics, guides most of the work. The importance of mathematical tools is also highlighted to clarify differences in the models for physics and biology that are proposed by continuous and discrete mathematics, such as computational simulations. Since biology is particularly complex and not as well understood at a theoretical level, we propose a “unification by concepts” which in any case should precede mathematization. This constitutes an outline for unification also based on highlighting conceptual differences, complex points of passage and technical irreducibilities of one field to another. Indeed, we suppose here a very common monist point of view, namely the view that living objects are “big bags of molecules”. The main question though is to understand which “theory” can help better understand these bags of molecules. They are, indeed, rather “singular”, from the physical point of view. Technically, we express this singularity through the concept of “extended criticality”, which provides a logical extension of the critical transitions that are known in physics. The presentation is mostly kept at an informal and conceptual level. Contents:Mathematical Concepts and Physical ObjectsIncompleteness and Indetermination in Mathematics and PhysicsSpace and Time from Physics to BiologyInvariances, Symmetries, and Symmetry BreakingsCauses and Symmetries: The Continuum and the Discrete in Mathematical ModelingExtended Criticality: The Physical Singularity of Life PhenomenaRandomness and Determination in the Interplay between the Continuum and the DiscreteConclusion: Unification and Separation of Theories, or the Importance of Negative Results Readership: Graduate students and professionals in the fields of natural sciences, biology, computer science, mathematics, and physics. Keywords:Foundations of Mathematics and of Physics;Epistemology;Theoretical BiologyKey Features:This book is an epistemological reflection carried out by two working scientists, a physicist and a mathematician, who focus on biology. They first address a comparative analysis of the founding principles of their own disciplines. On the grounds of a three-fold blend, they then introduce a unique proposal, which does not passively transfer the paradigms of the first two theoretically well-established disciplines, to suggest a novel theoretical framework for the third discipline

Science, Seti, and Mathematics

Science, Seti, and Mathematics PDF

Author: Carl L. DeVito

Publisher: Berghahn Books

Published: 2013-11-01

Total Pages: 220

ISBN-13: 1782380701

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Mathematics is as much a part of our humanity as music and art. And it is our mathematics that might be understandable, even familiar, to a distant race and might provide the basis for mutual communication. This book discusses, in a conversational way, the role of mathematics in the search for extraterrestrial intelligence. The author explores the science behind that search, its history, and the many questions associated with it, including those regarding the nature of language and the philosophical/psychological motivation behind this search.

The Education of T.C. MITS

The Education of T.C. MITS PDF

Author: Lillian R. Lieber

Publisher: Paul Dry Books

Published: 2007-06-01

Total Pages: 238

ISBN-13: 1589880331

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Whether you are stumped by the "commutative law" in algebra or a whiz at multiplying three-digit numbers in your head, this book opens the door to the wonders of mathematical imagining. By using simple language and intriguing illustrations drawn by her husband, Hugh, Lillian Lieber presents subtle mathematical concepts in an easy-to-understand way. Over sixty years after its release, this whimsical exploration of how to think in a mathematical mood will continue to delight math-lovers of all ages. Barry Mazur's new introduction is a tribute to the Liebers' influence on generations of mathematicians.

Maths for Science

Maths for Science PDF

Author: Sally Jordan

Publisher: OUP Oxford

Published: 2012-09-06

Total Pages: 0

ISBN-13: 9780199644964

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Maths for Science overturns the misconception that maths is a daunting, theory-filled subject by providing a confidence-boosting overview of essential mathematical skills and techniques. Written in a clear, straightforward style, with examples and practice problems throughout, it is the ideal guide for all science students.

The Six-Cornered Snowflake

The Six-Cornered Snowflake PDF

Author: Johannes Kepler

Publisher: Paul Dry Books

Published: 2010-01-01

Total Pages: 160

ISBN-13: 1589882857

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"In 1611, Kepler wrote an essay wondering why snowflakes always had perfect, sixfold symmetry. It's a simple enough question, but one that no one had ever asked before and one that couldn't actually be answered for another three centuries. Still, in trying to work out an answer, Kepler raised some fascinating questions about physics, math, and biology, and now you can watch in wonder as a great scientific genius unleashes the full force of his intellect on a seemingly trivial question, complete with new illustrations and essays to put it all in perspective."—io9, from their list "10 Amazing Science Books That Reveal The Wonders Of The Universe" When snow began to fall while he was walking across the Charles Bridge in Prague late in 1610, the eminent astronomer Johannes Kepler asked himself the following question: Why do snowflakes, when they first fall, and before they are entangled into larger clumps, always come down with six corners and with six radii tufted like feathers? In his effort to answer this charming and never-before-asked question about snowflakes, Kepler delves into the nature of beehives, peapods, pomegranates, five-petaled flowers, the spiral shape of the snail's shell, and the formative power of nature itself. While he did not answer his original question—it remained a mystery for another three hundred years—he did find an occasion for deep and playful thought. "A most suitable book for any and all during the winter and holiday seasons is a reissue of a holiday present by the great mathematician and astronomer Johannes Kepler…Even the endnotes in this wonderful little book are interesting and educationally fun to read."—Jay Pasachoff, The Key Reporter —New English translation by Jacques Bromberg —Latin text on facing pages —An essay, "The Delights of a Roving Mind" by Owen Gingerich —An essay, "On The Six-Cornered Snowflake" by Guillermo Bleichmar —Snowflake illustrations by Capi Corrales Rodriganez —John Frederick Nims' poem "The Six-Cornered Snowflake" —Notes by Jacques Bromberg and Guillermo Bleichmar

Responsive Teaching in Science and Mathematics

Responsive Teaching in Science and Mathematics PDF

Author: Amy D. Robertson

Publisher: Routledge

Published: 2015-10-05

Total Pages: 216

ISBN-13: 1317423747

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Answering calls in recent reform documents to shape instruction in response to students’ ideas while integrating key concepts and scientific and/or mathematical practices, this text presents the concept of responsive teaching, synthesizes existing research, and examines implications for both research and teaching. Case studies across the curriculum from elementary school through adult education illustrate the variety of forms this approach to instruction and learning can take, what is common among them, and how teachers and students experience it. The cases include intellectual products of students’ work in responsive classrooms and address assessment methods and issues. Many of the cases are supplemented with online resources (http://www.studentsthinking.org/rtsm) including classroom video and extensive transcripts, providing readers with additional opportunities to immerse themselves in responsive classrooms and to see for themselves what these environments look and feel like.

Only the Longest Threads

Only the Longest Threads PDF

Author: Tasneem Zehra Husain

Publisher: Paul Dry Books

Published: 2014-10-29

Total Pages: 232

ISBN-13: 1589880889

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"Part fiction, part overview of 'Aha!' moments in the forward march of physics, Only the Longest Threads takes readers dramatically through scientific fields such as quantum field theory, electromagnetism, relativity, quantum mechanics, and string theory. Each idea or concept is explored in an inventive chapter, each told from a different first-person narrator; the faux emails, letters, and diary entries take place from 1728 to the present day."—Boing Boing, "The Best Books for Nerds from 2014" "Science is done by real human beings, with human concerns. Only the Longest Threads tells a story that conveys the human side of science in a way that is as moving as it is accurate."—Sean Carroll, theoretical physicist at Caltech and author of The Particle at the End of the Universe Only the Longest Threads will thrill readers with its dramatic and lucid accounts of the great breakthroughs in the history of physics—classical mechanics, electromagnetism, relativity, quantum mechanics, quantum field theory, and string theory, each from the viewpoint of a (fictional) witness to the events. Tasneem Zehra Husain re-imagines the pivotal moments in the history of physics when radical new theories shifted our perception of the universe, and our place in it. Husain immerses the reader in the immediacy and excitement of the discoveries—and she guides us as we begin to understand the underlying science and to grasp the revolutionary step forward each of these milestones represents. "Tasneem Zehra Husain writes lyrically, poetically about life, love, and physics. I highly recommend this wonderful book for anyone interested in what physics, and indeed all of science, is about. She masterfully describes the most momentous moments in physics history with verve and talent."—Amir D. Aczel, bestselling author of Fermat’s Last Theorem "A delightful meditation on the development of modern physics, culminating in the discovery of the Higgs. Husain follows the thread of its creation through a dialog between a journalist and young theory student, and as seen through the eyes of witnesses."—John Huth, Donner Professor of Science, Harvard University "Well-written and cleverly constructed, this book takes us on a journey through the history of physics as a series of fictional adventures, loosely linked by another fiction, the storytellers' emails to each other. Some books are praised because 'I couldn’t put it down,' but this one merits a deeper reading, one that stops, muses on, and savors each story before going on to the next. Each one captures not only the emergence of a significant idea in physics, but also something of the characters, culture, and times surrounding that development. So take your time, pause to ponder, but persevere, you will be well rewarded!"—Helen R. Quinn, Physicist, Science Educator, and co-author of The Mystery of the Missing Antimatter, Professor Emeritus SLAC National Accelerator Laboratory "How do theoretical physicists think? Tasneem Zehra Husain knows. She knows their purpose, feels their passions, articulates their frustrations, shares their triumphs. Through the device of fiction Only the Longest Threads communicates the history of physical thought—its roots in inquisitiveness and essential disinterest in outcome—with greater clarity than any popular science text."—Michael Duff FRS, Abdus Salam Professor of Theoretical Physics, Imperial College London "An artfully constructed journey through space and time."—Freddy Cachazo, Perimeter Institute for Theoretical Physics "Husain skillfully weaves a poetic tapestry."—Joseph Mazur, author of Enlightening Symbols

The Future of the Mind

The Future of the Mind PDF

Author: Michio Kaku

Publisher: Anchor

Published: 2015-02-17

Total Pages: 402

ISBN-13: 0307473341

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Michio Kaku, the New York Times bestselling author of Physics of the Impossible and Physics of the Future tackles the most fascinating and complex object in the known universe: the human brain. The Future of the Mind brings a topic that once belonged solely to the province of science fiction into a startling new reality. This scientific tour de force unveils the astonishing research being done in top laboratories around the world—all based on the latest advancements in neuroscience and physics—including recent experiments in telepathy, mind control, avatars, telekinesis, and recording memories and dreams. The Future of the Mind is an extraordinary, mind-boggling exploration of the frontiers of neuroscience. Dr. Kaku looks toward the day when we may achieve the ability to upload the human brain to a computer, neuron for neuron; project thoughts and emotions around the world on a brain-net; take a “smart pill” to enhance cognition; send our consciousness across the universe; and push the very limits of immortality.