The Math Book

Author: Clifford A. Pickover
Publisher: Sterling Publishing Company, Inc.
ISBN: 9781402757969
Size: 26.11 MB
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This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.

Discrete Time And Discrete Space Dynamical Systems

Author: Kuize Zhang
Publisher: Springer
ISBN: 3030259722
Size: 44.73 MB
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Discrete-Time and Discrete-Space Dynamical Systems provides a systematic characterization of the similarities and differences of several types of discrete-time and discrete-space dynamical systems, including: Boolean control networks; nondeterministic finite-transition systems; finite automata; labelled Petri nets; and cellular automata. The book's perspective is primarily based on topological properties though it also employs semitensor-product and graph-theoretic methods where appropriate. It presents a series of fundamental results: invertibility, observability, detectability, reversiblity, etc., with applications to systems biology. Academic researchers with backgrounds in applied mathematics, engineering or computer science and practising engineers working with discrete-time and discrete-space systems will find this book a helpful source of new understanding for this increasingly important class of systems. The basic results to be found within are of fundamental importance for further study of related problems such as automated synthesis and safety control in cyber-physical systems using formal methods.

New Critical Thinking

Author: Sean Wilson
Publisher: Rowman & Littlefield
ISBN: 1498583601
Size: 31.12 MB
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This book is the first clear and unproblematic account of Ludwig Wittgenstein’s method and its consequences for good thinking. It has radical implications for conceptual investigation, analysis, value judgment, political ideology, ethics, and even religion.

Handbook Of Research On Maximizing Cognitive Learning Through Knowledge Visualization

Author: Ursyn, Anna
Publisher: IGI Global
ISBN: 1466681438
Size: 37.20 MB
Format: PDF, ePub
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The representation of abstract data and ideas can be a difficult and tedious task to handle when learning new concepts; however, the advances of emerging technology have allowed for new methods of representing such conceptual data. The Handbook of Research on Maximizing Cognitive Learning through Knowledge Visualization focuses on the use of visualization technologies to assist in the process of better comprehending scientific concepts, data, and applications. Highlighting the utilization of visual power and the roles of sensory perceptions, computer graphics, animation, and digital storytelling, this book is an essential reference source for instructors, engineers, programmers, and software developers interested in the exchange of information through the visual depiction of data.

Nature S Longest Threads

Author: Janaki Balakrishnan
Publisher: World Scientific
ISBN: 9814612480
Size: 40.96 MB
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Organisms endowed with life show a sense of awareness, interacting with and learning from the universe in and around them. Each level of interaction involves transfer of information of various kinds, and at different levels. Each thread of information is interlinked with the other, and woven together, these constitute the universe — both the internal self and the external world — as we perceive it. They are, figuratively speaking, Nature's longest threads. This volume reports inter-disciplinary research and views on information and its transfer at different levels of organization by reputed scientists working on the frontier areas of science. It is a frontier where physics, mathematics and biology merge seamlessly, binding together specialized streams such as quantum mechanics, dynamical systems theory, and mathematics. The topics would interest a broad cross-section of researchers in life sciences, physics, cognition, neuroscience, mathematics and computer science, as well as interested amateurs, familiarizing them with frontier research on understanding information transfer in living systems. Contents:Mathematics In-forms Physics and Physics Per-forms Mathematics: Comments (N Kumar)An Incomplete Summing Up of Quantum Measurements (N D Hari Dass)Predictive Information for Quantum Bio-Systems (Arun Kumar Pati)Quantum Effects in Biological Systems (Sisir Roy)Instabilities in Sensory Processes (J Balakrishnan)Active Cellular Mechanics and Information Processing in the Living Cell (M Rao)On the Importance of Length Scales in Determining the Physics of Biological Systems (B Ashok)q-Deformations and the Dynamics of the Larch Bud-Moth Population Cycles (Sudharsana V Iyengar and J Balakrishnan)Newtonian Chimpanzees? A Molecular Dynamics Approach to Understanding Decision Making by Wild Chimpanzees (Matthew Westley, Surajit Sen and Anindya Sinha)Quantum Probability — A New Direction for Modeling in Cognitive Science (Sisir Roy)Knowledge, Its Hierarchy and Its Direction (Apoorva Patel)Some Remarks on Numbers and Their Cognition (P P Divakaran)Conceptual Revolution of the 20th Century Leading to One Grand Unified Concept — The Quantum Vacuum (B V Sreekantan)Classical Coherence, Life and Consciousness (Partha Ghose)Consciousness — A Verifiable Prediction (N Panchapakesan)Gödel, Tarski, Turing and the Conundrum of Free Will (Chetan S Mandayam Nayakar & R Srikanth)Mathematics and Cognition (Rajesh Kasturirangan) Readership: Researchers in life sciences, physics, cognition, neuroscience, mathematics and computer science, as well as general public interested in understanding information transfer in living systems. Key Features:This book shows how at each level, differing physics concepts and mathematical tools may be used to model and understand information transfer and its processingKeywords:Bifurcation;Biological Systems;Cognition;Coherence;Complex Systems;Consciousness;Dynamical Systems;Electrostatics;Information;Information Transfer;Length Scales;Life;Microtubules;Mathematics;Mathematical Modelling;Measurement;Neurons;Nonlinearities;Numbers;Olfaction;Polymers;Polyelectrolyte Solutions;Population Cycles;Primates;Probability;Q-Deformation;Quantum Effects;Quantum Mechanics;Sensory Processes;Viscosity

Masters Of Mathematics

Author: Robert A. Nowlan
Publisher: Springer
ISBN: 9463008934
Size: 20.83 MB
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The original title for this work was “Mathematical Literacy, What Is It and Why You Need it”. The current title reflects that there can be no real learning in any subject, unless questions of who, what, when, where, why and how are raised in the minds of the learners. The book is not a mathematical text, and there are no assigned exercises or exams. It is written for reasonably intelligent and curious individuals, both those who value mathematics, aware of its many important applications and others who have been inappropriately exposed to mathematics, leading to indifference to the subject, fear and even loathing. These feelings are all consequences of meaningless presentations, drill, rote learning and being lost as the purpose of what is being studied. Mathematics education needs a radical reform. There is more than one way to accomplish this. Here the author presents his approach of wrapping mathematical ideas in a story. To learn one first must develop an interest in a problem and the curiosity to find how masters of mathematics have solved them. What is necessary to be mathematically literate? It’s not about solving algebraic equations or even making a geometric proof. These are valuable skills but not evidence of literacy. We often seek answers but learning to ask pertinent questions is the road to mathematical literacy. Here is the good news: new mathematical ideas have a way of finding applications. This is known as “the unreasonable effectiveness of mathematics.”

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Size: 27.73 MB
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