Brains, Machines, and Mathematics, Michael A. Arbib
Автор: Pardalos Название: Contributions in Mathematics and Engineering ISBN: 3319313150 ISBN-13(EAN): 9783319313153 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The contributions in this volume aim to deepenunderstanding of some of the current research problems and theories inmodern topics such as calculus of variations, optimization theory, complexanalysis, real analysis, differential equations, andgeometry. Applications to these areas of mathematics are presented withinthe broad spectrum of research in Engineering Science withparticular emphasis on equilibrium problems, complexity in numericaloptimization, dynamical systems, non-smooth optimization, complex networkanalysis, statistical models and data mining, and energy systems. Additionalemphasis is given to interdisciplinary research, although subjects are treatedin a unified and self-contained manner. The presentation of methods, theory andapplications makes this tribute an invaluable reference for teachers,researchers, and other professionals interested in pure and appliedresearch, philosophy of mathematics, and mathematics education. Somereview papers published in this volume will be particularly useful for abroader audience of readers as well as for graduate students who search for thelatest information. ?ConstantinCarath?odory’s wide-ranging influence in the international mathematicalcommunity was seen during the first Fields Medals awards at the InternationalCongress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V.Ahlfors and one to Jesse Douglass. It was Carath?odory who presented both theirworks during the opening of the International Congress. This volume containssignificant papers in Science and Engineering dedicated to the memory ofConstantin Carath?odory and the spirit of his mathematical influence.
Автор: Davis Название: Methods of Applied Mathematics with a Software Overview ISBN: 3319433695 ISBN-13(EAN): 9783319433691 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of problems in which the presented techniques are useful.Broadly organized around the theme of applied Fourier analysis, the treatment covers classical applications in partial differential equations and boundary value problems, and a substantial number of topics associated with Laplace, Fourier, and discrete transform theories. Some advanced topics are explored in the final chapters such as short-time Fourier analysis and geometrically based transforms applicable to boundary value problems. The topics covered are useful in a variety of applied fields such as continuum mechanics, mathematical physics, control theory, and signal processing.Replete with helpful examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.Key features of the software overview:Now relies solely on the free software tools Octave, Maxima, and Python.Appendix introduces all of these tools at a level suitable to those with some programming experienceProvides references to sources of further learning.Code snippets incorporated throughout the text. All graphics and illustrations generated using these tools.Praise for the first edition:“The author mixed in a remarkable way theoretical results and applications illustrating the results. Flexibility of presentation (increasing and decreasing level of rigor, accessibility) is a key feature...The book contains extensive examples, presented in an intuitive way with high quality figures (some of them quite spectacular)…” – Mathematica “...Davis's book has many novel features being quite different from most other textbooks on applied mathematics.... Mainly it has a clear and consistent exposition with a strong focus on mathematical fundamentals and useful techniques. It has numerous extensive examples, illustrations, comments, and a very modern graphical presentation of results.“…The book has style. Every theorem and mathematical result has a wonderful appealing comment.” – Studies in Informatics and Control
Автор: R?misch Название: Mathematical Analysis and the Mathematics of Computation ISBN: 3319427539 ISBN-13(EAN): 9783319427539 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications.The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where it's applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and then differential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations.This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present more advanced problems that shed light on interesting features, suitable for classroom seminars or study groups. It will be valuable for undergraduate and graduate students in mathematics, computer science, and related fields such as engineering. This is a rich field that has experienced enormous development in recent decades, and the book will also act as a reference for graduate students and practitioners who require a deeper understanding of the methodologies, techniques, and foundations.
Автор: B?lent Karas?zen; Murat Manguo?lu; M?nevver Tezer- Название: Numerical Mathematics and Advanced Applications - ENUMATH 2015 ISBN: 3319399276 ISBN-13(EAN): 9783319399270 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), held every 2 years, provides a forum for discussing recent advances in and aspects of numerical mathematics and scientific and industrial applications. The previous ENUMATH meetings took place in Paris (1995), Heidelberg (1997), Jyvaskyla (1999), Ischia (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011) and Lausanne (2013). This book presents a selection of invited and contributed lectures from the ENUMATH 2015 conference, which was organised by the Institute of Applied Mathematics (IAM), Middle East Technical University, Ankara, Turkey, from September 14 to 18, 2015. It offers an overview of central recent developments in numerical analysis, computational mathematics, and applications in the form of contributions by leading experts in the field.
Автор: Eilers Название: Introduction to Experimental Mathematics ISBN: 1107156130 ISBN-13(EAN): 9781107156135 Издательство: Cambridge Academ Рейтинг: Цена: 7286.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A recent surge in computer-based experimental approaches to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this textbook provides students with an introduction to the ends and means of experimental mathematics using the popular computer algebra system Maple.
Описание: Contains a selection of contributions by mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco during the period of 28-30 October, 2008. This title covers both the theoretical and numerical aspects of nonlinear analysis.
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