Download or read book New Trends In Geometry Their Role In The Natural And Life Sciences written by Luciano Boi and published by World Scientific. This book was released on 2011-05-19 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines.The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines.
Download or read book Science written by Bertrand Zavidovique and published by World Scientific. This book was released on 2012 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gathers articles that were exposed during the seventh edition of the Workshop ?Data Analysis in Astronomy?. It illustrates a current trend to search for common expressions or models transcending usual disciplines, possibly associated with some lack in the Mathematics required to model complex systems. In that, data analysis would be at the epicentre and a key facilitator of some current integrative phase of Science.It is all devoted to the question of ?representation in Science?, whence its name, IMAGe IN AcTION, and main thrusts Part A: Information: data organization and communication, Part B: System: structure and behaviour, Part C: Data ? System representation. Such a classification makes concepts as ?complexity? or ?dynamics? appear like transverse notions: a measure among others or a dimensional feature among others.Part A broadly discusses a dialogue between experiments and information, be information extracted-from or brought-to experiments. The concept is fundamental in statistics and tailors to the emergence of collective behaviours. Communication then asks for uncertainty considerations ? noise, indeterminacy or approximation ? and its wider impact on the couple perception-action. Clustering being all about uncertainty handling, data set representation appears not to be the only solution: Introducing hierarchies with adapted metrics, a priori pre-improving the data resolution are other methods in need of evaluation. The technology together with increasing semantics enables to involve synthetic data as simulation results for the multiplication of sources.Part B plays with another couple important for complex systems: state vs. transition. State-first descriptions would characterize physics, while transition-first would fit biology. That could stem from life producing dynamical systems in essence. Uncertainty joining causality here, geometry can bring answers: stable patterns in the state space involve constraints from some dynamics consistency. Stable patterns of activity characterize biological systems too. In the living world, the complexity ? i.e. a global measure on both states and transitions ? increases with consciousness: this might be a principle of evolution. Beside geometry or measures, operators and topology have supporters for reporting on dynamical systems. Eventually targeting universality, the category theory of topological thermodynamics is proposed as a foundation of dynamical system understanding.Part C details examples of actual data-system relations in regards to explicit applications and experiments. It shows how pure computer display and animation techniques link models and representations to ?reality? in some ?concrete? virtual, manner. Such techniques are inspired from artificial life, with no connection to physical, biological or physiological phenomena! The Virtual Observatory is the second illustration of the evidence that simulation helps Science not only in giving access to more flexible parameter variability, but also due to the associated data and method storing-capabilities. It fosters interoperability, statistics on bulky corpuses, efficient data mining possibly through the web etc. in short a reuse of resources in general, including novel ideas and competencies. Other examples deal more classically with inverse modelling and reconstruction, involving Bayesian techniques or chaos but also fractal and symmetry.
Download or read book From Electrons to Elephants and Elections written by Shyam Wuppuluri and published by Springer Nature. This book was released on 2022-04-08 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly interdisciplinary book, covering more than six fields, from philosophy and sciences all the way up to the humanities and with contributions from eminent authors, addresses the interplay between content and context, reductionism and holism and their meeting point: the notion of emergence. Much of today’s science is reductionist (bottom-up); in other words, behaviour on one level is explained by reducing it to components on a lower level. Chemistry is reduced to atoms, ecosystems are explained in terms of DNA and proteins, etc. This approach fails quickly since we can’t cannot extrapolate to the properties of atoms solely from Schrödinger's equation, nor figure out protein folding from an amino acid sequence or obtain the phenotype of an organism from its genotype. An alternative approach to this is holism (top-down). Consider an ecosystem or an organism as a whole: seek patterns on the same scale. Model a galaxy not as 400 billion-point masses (stars) but as an object in its own right with its own properties (spiral, elliptic). Or a hurricane as a structured form of moist air and water vapour. Reductionism is largely about content, whereas holistic models are more attuned to context. Reductionism (content) and holism (context) are not opposing philosophies — in fact, they work best in tandem. Join us on a journey to understand the multifaceted dialectic concerning this duo and how they shape the foundations of sciences and humanities, our thoughts and, the very nature of reality itself.
Download or read book Complexity and Emergence written by Sergio Albeverio and published by Springer Nature. This book was released on 2022-05-07 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes contributions about mathematics, physics, philosophy of science, economics and finance and resulted from the Summer School “Complexity and Emergence: Ideas, Methods, with a Special Attention to Economics and Finance” held in Lake Como School of Advanced Studies, on 22–27 July 2018. The aim of the book is to provide useful instruments from the theory of complex systems, both on the theoretical level and the methodological ones, profiting from knowledge and insights from leading experts of different communities. It moves from the volume editors' conviction that to achieve progress in understanding socio-economical as well as ecological problems of our complex word such preparation is needed, together with a critical reconsideration of our basic scientific and economical approach. The potential readers are primarily master and doctorate students of mathematics, information sciences, theoretical physics and economics, as well as research workers in those areas, who want to enlarge their spectrum of knowledge towards the area of complexity and emergence. Since ideas and methods of the theory of complex systems also apply to other areas (from engineering and architecture to biology and medicine, e.g.), students and research workers from those areas will also profit from this book.
Download or read book When Form Becomes Substance written by Luciano Boi and published by Springer Nature. This book was released on 2022-11-30 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary volume collects contributions from experts in their respective fields with as common theme diagrams. Diagrams play a fundamental role in the mathematical visualization and philosophical analysis of forms in space. Some of the most interesting and profound recent developments in contemporary sciences, whether in topology, geometry, dynamic systems theory, quantum field theory or string theory, have been made possible by the introduction of new types of diagrams, which, in addition to their essential role in the discovery of new classes of spaces and phenomena, have contributed to enriching and clarifying the meaning of the operations, structures and properties that are at the heart of these spaces and phenomena. The volume gives a closer look at the scope and the nature of diagrams as constituents of mathematical and physical thought, their function in contemporary artistic work, and appraise, in particular, the actual importance of the diagrams of knots, of braids, of fields, of interaction, of strings in topology and geometry, in quantum physics and in cosmology, but also in theory of perception, in plastic arts and in philosophy. The editors carefully curated this volume to be an inspiration to students and researchers in philosophy, phenomenology, mathematics and the sciences, as well as artists, musicians and the general interested audience.
Download or read book Morphogenesis of Symbolic Forms Meaning in Music Art Religion and Language written by Wolfgang Wildgen and published by Springer Nature. This book was released on 2023-03-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present book, the starting line is defined by a morphogenetic perspective on human communication and culture. The focus is on visual communication, music, religion (myth), and language, i.e., on the “symbolic forms” at the heart of human cultures (Ernst Cassirer). The term “morphogenesis” has more precisely the meaning given by René Thom (1923-2002) in his book “Morphogenesis and Structural Stability” (1972) and the notions of “self-organization” and cooperation of subsystems in the “Synergetics” of Hermann Haken (1927- ). The naturalization of communication and cultural phenomena is the favored strategy, but the major results of the involved disciplines (art history, music theory, religious science, and linguistics) are respected. Visual art from the Paleolithic to modernity stands for visual communication. The present book focuses on studies of classical painting and sculpture (e.g., Leonardo da Vinci, William Turner, and Henry Moore) and modern art (e.g., Jackson Pollock and Joseph Beuys). Musical morphogenesis embraces classical music (from J. S. Bach to Arnold Schönberg) and political songwriting (Bob Dylan, Leonhard Cohen). The myths of pre-literary societies show the effects of self-organization in the re-assembly (bricolage) of traditions. Classical polytheistic and monotheistic religions demonstrate the unfolding of basic germs (religious attractors) and their reduction in periods of crisis, the self-organization of complex religious networks, and rationalized macro-structures (in theologies). Significant tendencies are analyzed in the case of Buddhism and Christianism. Eventually, a holistic view of symbolic communication and human culture emerges based on state-of-the-art in evolutionary biology, cognitive science, linguistics, and semiotics (philosophy of symbolic forms).
Download or read book Natural and Cosmic Theodicy written by Jongseock James Shin and published by Wipf and Stock Publishers. This book was released on 2022-10-21 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a third way to envision the Creatorship of the Triune God who is both compassionate and eschatologically redemptive in providential presence, rather than biasedly gravitating toward the openness of a self-limiting God or God’s all-determining sovereignty. Not only is God in, with, and under creation, God’s kenotic presence invites creatures to participate in the self-giving love of God through both general and special divine action in a top-down-through-bottom-up mode. Creatio continua is God’s own journey of fulfilling the eschatological promise for creation. This redemptive presence of God in creation is a Trinitarian co-protesting against the power of death, sin, and evil, considering the cosmic dimensions of the eschatological hope promised in the resurrection of Jesus. The new creation is the ultimate fulfillment of creaturely freedom and contingency divinely granted in creatio ex nihilo. In arguing this, Shin engages in a comparative and critical study of natural and cosmic theodicy advanced by Catherine Keller, Arthur Peacocke, Wolfhart Pannenberg, and Robert Russell.
Download or read book Philosophical and Scientific Perspectives on Downward Causation written by Michele Paolini Paoletti and published by Taylor & Francis. This book was released on 2017-02-17 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Downward causation plays a fundamental role in many theories of metaphysics and philosophy of mind. It is strictly connected with many topics in philosophy, including but not limited to: emergence, mental causation, the nature of causation, the nature of causal powers and dispositions, laws of nature, and the possibility of ontological and epistemic reductions. Philosophical and Scientific Perspectives on Downward Causation brings together experts from different fields—including William Bechtel, Stewart Clark and Tom Lancaster, Carl Gillett, John Heil, Robin F. Hendry, Max Kistler, Stephen Mumford and Rani Lill Anjum —who delve into classic and unexplored lines of philosophical inquiry related to downward causation. It critically assesses the possibility of downward causation given different ontological assumptions and explores the connection between downward causation and the metaphysics of causation and dispositions. Finally, it presents different cases of downward causation in empirical fields such as physics, chemistry, biology and the neurosciences. This volume is both a useful introduction and a collection of original contributions on this fascinating and hotly debated philosophical topic.
Download or read book New Trends in Geometry written by Luciano Boi and published by World Scientific. This book was released on 2011 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines.
Download or read book Morphological Plant Modeling Unleashing Geometric and Topological Potential within the Plant Sciences written by Alexander Bucksch and published by Frontiers Media SA. This book was released on 2017-10-13 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: An increasing population faces the growing demand for agricultural products and accurate global climate models that account for individual plant morphologies to predict favorable human habitat. Both demands are rooted in an improved understanding of the mechanistic origins of plant development. Such understanding requires geometric and topological descriptors to characterize the phenotype of plants and its link to genotypes. However, the current plant phenotyping framework relies on simple length and diameter measurements, which fail to capture the exquisite architecture of plants. The Research Topic “Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences” is the result of a workshop held at National Institute for Mathematical and Biological Synthesis (NIMBioS) in Knoxville, Tennessee. From 2.-4. September 2015 over 40 scientists from mathematics, computer science, engineering, physics and biology came together to set new frontiers in combining plant phenotyping with recent results from shape theory at the interface of geometry and topology. In doing so, the Research Topic synthesizes the views from multiple disciplines to reveal the potential of new mathematical concepts to analyze and quantify the relationship between morphological plant features. As such, the Research Topic bundles examples of new mathematical techniques including persistent homology, graph-theory, and shape statistics to tackle questions in crop breeding, developmental biology, and vegetation modeling. The challenge to model plant morphology under field conditions is a central theme of the included papers to address the problems of climate change and food security, that require the integration of plant biology and mathematics from geometry and topology research applied to imaging and simulation techniques. The introductory white paper written by the workshop participants identifies future directions in research, education and policy making to integrate biological and mathematical approaches and to strengthen research at the interface of both disciplines.
Download or read book Current Trends in Scientific Research written by Pierre Auger and published by [New York] : UNESCO. This book was released on 1961 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general survey of current research, problems of dissemination and possible peaceful applications of research.
Download or read book Mathematics for the Life Sciences written by Erin N. Bodine and published by Princeton University Press. This book was released on 2014-08-17 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible undergraduate textbook on the essential math concepts used in the life sciences The life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales. The mathematics necessary to describe, model, and analyze these problems is similarly diverse, incorporating quantitative techniques that are rarely taught in standard undergraduate courses. This textbook provides an accessible introduction to these critical mathematical concepts, linking them to biological observation and theory while also presenting the computational tools needed to address problems not readily investigated using mathematics alone. Proven in the classroom and requiring only a background in high school math, Mathematics for the Life Sciences doesn't just focus on calculus as do most other textbooks on the subject. It covers deterministic methods and those that incorporate uncertainty, problems in discrete and continuous time, probability, graphing and data analysis, matrix modeling, difference equations, differential equations, and much more. The book uses MATLAB throughout, explaining how to use it, write code, and connect models to data in examples chosen from across the life sciences. Provides undergraduate life science students with a succinct overview of major mathematical concepts that are essential for modern biology Covers all the major quantitative concepts that national reports have identified as the ideal components of an entry-level course for life science students Provides good background for the MCAT, which now includes data-based and statistical reasoning Explicitly links data and math modeling Includes end-of-chapter homework problems, end-of-unit student projects, and select answers to homework problems Uses MATLAB throughout, and MATLAB m-files with an R supplement are available online Prepares students to read with comprehension the growing quantitative literature across the life sciences A solutions manual for professors and an illustration package is available
Download or read book What s Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
Download or read book New Trends in Mathematics Teaching written by and published by . This book was released on 1978 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Directory of Published Proceedings written by and published by . This book was released on 1998 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopedia of World Problems and Human Potential written by Union of International Associations and published by De Gruyter Saur. This book was released on 1994 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt: The destruction of wildlife habitats ... organized crime ... AIDS ... illiteracy ... acid rain -- these are among the 130,000 topics documented and discussed in the new edition of the Encyclopedia. But its truly unique goal is to present this complex set of issues in ways that facilitate an organized response. To this end, the book also focuses on the complex relationship between problems and society's own ideological relationship with these problems. How do human priorities and perceptions aggravate or enable problems? What are the established and alternative responses? The Encyclopedia contains over 158,000 cross-references between entries, an extensive 91,000 practical key term index, bibliographies, and full cross-referencing to the Yearbook of International Organizations. For anyone concerned with the world community, here are the means to explore and participate in today's most crucial endeavors. Volume 2, Human Potential: Transformation and Values, contains 7,700 entries reflecting a spectrum of problem-solving approaches based on such human development issues as self-learning, creativity, and modes of awareness. The volume also focuses on specific religious beliefs, value systems, and thought patterns.
Download or read book The Mathematics Teacher written by and published by . This book was released on 1962 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt:
