Описание: High-dimensional and nonparametric statistical models are ubiquitous in modern data science. This book develops a mathematically coherent and objective approach to statistical inference in such models, with a focus on function estimation problems arising from random samples (density estimation) or from Gaussian regression/signal in white noise problems.
Автор: Powers, Joseph M. (University of Notre Dame, Indiana) Sen, Mihir (University of Notre Dame, Indiana) Название: Mathematical Methods in Engineering ISBN: 1107037042 ISBN-13(EAN): 9781107037045 Издательство: Cambridge Academ Рейтинг: Цена: 10138.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is designed for engineering graduate students. It connects mathematics to a variety of methods used for engineering problems by walking the reader stepwise through examples that have been worked in detail, followed by numerous homework problems to reinforce learning and connect the subject matter to engineering applications.
Автор: Shu Hotta Название: Mathematical Physical Chemistry ISBN: 981135667X ISBN-13(EAN): 9789811356674 Издательство: Springer Рейтинг: Цена: 30745.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces basic concepts of mathematical physics to chemists. Many textbooks and monographs of mathematical physics may appear daunting to them. Unlike other, related books, however, this one contains a practical selection of material, particularly for graduate and undergraduate students majoring in chemistry. The book first describes quantum mechanics and electromagnetism, with the relation between the two being emphasized. Although quantum mechanics covers a broad field in modern physics, the author focuses on a hydrogen(like) atom and a harmonic oscillator with regard to the operator method. This approach helps chemists understand the basic concepts of quantum mechanics aided by their intuitive understanding without abstract argument, as chemists tend to think of natural phenomena and other factors intuitively rather than only logically. The study of light propagation, reflection, and transmission in dielectric media is of fundamental importance. This book explains these processes on the basis of Maxwell equations. The latter half of the volume deals with mathematical physics in terms of vectors and their transformation in a vector space. Finally, as an example of chemical applications, quantum chemical treatment of methane is introduced, including a basic but essential explanation of Green functions and group theory. Methodology developed by the author will also prove to be useful to physicists.
Описание: 1. Global Introduction to the Artificial Mathematical Intelligence General Program.- 2. Some Basic Technical (Meta-)Mathematical Preliminaries for Cognitive Mathematics.- Part I. New Cognitive Foundations for Mathematics.- 3. General Considerations for the New Cognitive Foundations' Program.- 4. Towards the (Cognitive) Reality of Mathematics and the Mathematics of (Cognitive) Reality).- 5. The Physical Numbers.- 6. Dathematics: A Meta-Isomorphic Version of "Standard" Mathematics Based on Proper Classes.- Part II. Global Taxonomy of the Fundamental Cognitive Mathematical Mechanisms Used in Mathematical Research.- 7. Conceptual Blending in Mathematical Creation/Invention.- 8. Formal Analogical Reasoning in Concrete Mathematical Research.- 9. Conceptual Substratum.- 10. (Initial) Global Taxonomy of the Most Fundamental Cognitive Mechanisms Used in Mathematical Creation/Invention.- Part III. Toward a Universal Meta-Modeling of Mathematical Creation/Invention.- 11. Meta-Modeling of Classic and Modern Mathematical Proofs and Concepts.- 12. The Most Outstanding (Future) Challenges Toward Global AMI and its Plausible Extensions.
Описание: Petr Hajek shows that reasoning in fuzzy logic may be put on a strict logical (formal) basis, so contributing to our understanding of what fuzzy logic is and what one is doing when applying fuzzy reasoning.
Автор: Yair Neuman Название: Mathematical Structures of Natural Intelligence ISBN: 3319682458 ISBN-13(EAN): 9783319682457 Издательство: Springer Рейтинг: Цена: 8803.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought.
This book brings together a rich selection of studies in mathematical modeling and computational intelligence, with application in several fields of engineering, like automation, biomedical, chemical, civil, electrical, electronic, geophysical and mechanical engineering, on a multidisciplinary approach. Authors from five countries and 16 different research centers contribute with their expertise in both the fundamentals and real problems applications based upon their strong background on modeling and computational intelligence. The reader will find a wide variety of applications, mathematical and computational tools and original results, all presented with rigorous mathematical procedures. This work is intended for use in graduate courses of engineering, applied mathematics and applied computation where tools as mathematical and computational modeling, numerical methods and computational intelligence are applied to the solution of real problems.
Описание: This book presents new knowledge and recent developments in all aspects of computational techniques, mathematical modeling, energy systems, applications of fuzzy sets and intelligent computing.
Автор: Yair Neuman Название: Mathematical Structures of Natural Intelligence ISBN: 3319885707 ISBN-13(EAN): 9783319885704 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Поставка под заказ.
Описание: This book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought.
Описание: This book presents new knowledge and recent developments in all aspects of computational techniques, mathematical modeling, energy systems, and applications of fuzzy sets and intelligent computing. The book is a collection of best selected research papers presented at the Second International Conference on “Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy (MMCITRE 2021),” organized by the Department of Mathematics, Pandit Deendayal Petroleum University, in association with Forum for Interdisciplinary Mathematics. The book provides innovative works of researchers, academicians, and students in the area of interdisciplinary mathematics, statistics, computational intelligence, and renewable energy.
Описание: This book collects papers presented at the International Conference on Mathematical Modelling and Computational Intelligence Techniques (ICMMCIT) 2021, held at the Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, India, from 10-12 February 2021.
Автор: Franck Assous; Patrick Ciarlet; Simon Labrunie Название: Mathematical Foundations of Computational Electromagnetism ISBN: 3319708414 ISBN-13(EAN): 9783319708416 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The focus then moves to well?posedness results. The relevant function spaces are introduced, with an emphasis on boundary and topological conditions. General variational frameworks are defined for static and quasi-static problems, time-harmonic problems (including fixed frequency or Helmholtz-like problems and unknown frequency or eigenvalue problems), and time-dependent problems, with or without constraints. They are then applied to prove the well-posedness of Maxwell’s equations and their simplified models, in the various settings described above. The book is completed with a discussion of dimensionally reduced models in prismatic and axisymmetric geometries, and a survey of existence and uniqueness results for the Vlasov-Poisson, Vlasov-Maxwell and MHD equations. The book addresses mainly researchers in applied mathematics who work on Maxwell’s equations. However, it can be used for master or doctorate-level courses on mathematical electromagnetism as it requires only a bachelor-level knowledge of analysis.
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