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1. |
Record Nr. |
UNINA9910367752003321 |
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Autore |
Tenreiro Machado J. A |
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Titolo |
Entropy in Dynamic Systems / J. A. Tenreiro Machado, Jan Awrejcewicz |
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Pubbl/distr/stampa |
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MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
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Basel, Switzerland : , : MDPI, , 2019 |
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ISBN |
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Descrizione fisica |
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1 electronic resource (172 p.) |
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Soggetti |
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History of engineering and technology |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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In order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and emphasizes its analogy to energy, today, it has wandered to different branches of pure and applied sciences and is understood in a rather rough way, with emphasis placed on the transition from regular to chaotic states, stochastic and deterministic disorder, and uniform and non-uniform distribution or decay of diversity. This collection of papers addresses the notion of entropy in a very broad sense. The presented manuscripts follow from different branches of mathematical/physical sciences, natural/social sciences, and engineering-oriented sciences with emphasis placed on the complexity of dynamical systems. Topics like timing chaos and spatiotemporal chaos, bifurcation, synchronization and anti-synchronization, stability, lumped mass and continuous mechanical systems modeling, novel nonlinear phenomena, and resonances are discussed. |
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2. |
Record Nr. |
UNINA9910299983003321 |
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Autore |
Treiman Jay S. |
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Titolo |
Calculus with Vectors / / by Jay S. Treiman |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
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ISBN |
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Edizione |
[1st ed. 2014.] |
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Descrizione fisica |
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1 online resource (IX, 399 p. 282 illus., 250 illus. in color.) |
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Collana |
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Springer Undergraduate Texts in Mathematics and Technology, , 1867-5506 |
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Disciplina |
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Soggetti |
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Integral transforms |
Calculus, Operational |
Sequences (Mathematics) |
Physics |
Integral Transforms, Operational Calculus |
Sequences, Series, Summability |
Mathematical Methods in Physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Preface -- 1. Points and Vectors -- 2. Limits and Derivatives -- 3. More on Limits -- 4. Rules for Finding Derivatives -- 5. Applications of Limits and Derivatives -- 6. Integration -- 7. The Cross Product -- 8. More Techniques of Integration -- 9. Applications of Integration -- 10. Series -- Index. |
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Sommario/riassunto |
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Calculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM. fields. The approach introduces vector-valued functions from the start, emphasizing the connections between one-variable and multi-variable calculus. The text includes early vectors and early transcendentals and includes a rigorous but informal approach to vectors. Examples and focused applications are well presented along with an abundance of motivating exercises. All three-dimensional graphs have rotatable versions included as extra source materials and may be freely downloaded and manipulated with Maple Player; a free Maple Player App is available for the iPad on iTunes. The approaches |
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taken to topics such as the derivation of the derivatives of sine and cosine, the approach to limits, and the use of "tables" of integration have been modified from the standards seen in other textbooks in order to maximize the ease with which students may comprehend the material. Additionally, the material presented is intentionally non-specific to any software or hardware platform in order to accommodate the wide variety and rapid evolution of tools used. Technology is referenced in the text and is required for a good number of problems. |
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