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Author : M. J. Kallaher
Publisher : Cambridge University Press
Page : 108 pages
File Size : 48,9 Mb
Release : 1999-11-11
Category : Mathematics
ISBN : 0883851601
Discusses the direction in which the field of differential equations, and its teaching, is going.
Author : Morris Tenenbaum,Harry Pollard
Publisher : Courier Corporation
Page : 852 pages
File Size : 41,9 Mb
Release : 1985-10-01
Category : Mathematics
ISBN : 9780486649405
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
Author : T.P. Dreyer
Publisher : CRC Press
Page : 302 pages
File Size : 46,8 Mb
Release : 1993-06-28
Category : Mathematics
ISBN : 0849386365
Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study. This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.
Author : David Marshall Miller,Dana Jalobeanu
Publisher : Unknown
Page : 551 pages
File Size : 55,5 Mb
Release : 2022-01-06
Category : Philosophy
ISBN : 9781108420303
A collection of cutting-edge scholarship on the close interaction of philosophy with science at the birth of the modern age.
Author : Bartholomew Price
Publisher : Unknown
Page : 592 pages
File Size : 55,7 Mb
Release : 1852
Category : Differential calculus
ISBN : NYPL:33433069104473
Author : Elena G. Popkova,Bruno S. Sergi
Publisher : Springer Nature
Page : 1763 pages
File Size : 41,8 Mb
Release : 2020-06-05
Category : Technology & Engineering
ISBN : 9783030479459
This book presents a system view of the digital scientific and technological revolution, including its genesis and prerequisites, current trends, as well as current and potential issues and future prospects. It gathers selected research papers presented at the 12th International Scientific and Practical Conference, organized by the Institute of Scientific Communications. The conference “Artificial Intelligence: Anthropogenic Nature vs. Social Origin” took place on December 5–7, 2019 in Krasnoyarsk, Russia. The book is intended for academic researchers and independent experts studying the social and human aspects of the Fourth Industrial Revolution and the associated transition to the digital economy and Industry 4.0, as well as the creators of the legal framework for this process and its participants – entrepreneurs, managers, employees and consumers. It covers a variety of topics, including “intelligent” technologies and artificial intelligence, the digital economy, the social environment of the Fourth Industrial Revolution and its consequences for humans, the regulatory framework of the Fourth Industrial Revolution, and the “green” consequences, prospects and financing of the Fourth Industrial Revolution.
Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Page : 500 pages
File Size : 42,9 Mb
Release : 2017-09-14
Category : Mathematics
ISBN : 0980232759
Gilbert Strang's clear, direct style and detailed, intensive explanations make this textbook ideal as both a course companion and for self-study. Single variable and multivariable calculus are covered in depth. Key examples of the application of calculus to areas such as physics, engineering and economics are included in order to enhance students' understanding. New to the third edition is a chapter on the 'Highlights of calculus', which accompanies the popular video lectures by the author on MIT's OpenCourseWare. These can be accessed from math.mit.edu/~gs.
Author : Luis Manuel Braga da Costa Campos
Publisher : CRC Press
Page : 306 pages
File Size : 53,7 Mb
Release : 2019-11-05
Category : Mathematics
ISBN : 9780429642784
Non-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This second book consists of two chapters (chapters 3 and 4 of the set). The first chapter considers non-linear differential equations of first order, including variable coefficients. A first-order differential equation is equivalent to a first-order differential in two variables. The differentials of order higher than the first and with more than two variables are also considered. The applications include the representation of vector fields by potentials. The second chapter in the book starts with linear oscillators with coefficients varying with time, including parametric resonance. It proceeds to non-linear oscillators including non-linear resonance, amplitude jumps, and hysteresis. The non-linear restoring and friction forces also apply to electromechanical dynamos. These are examples of dynamical systems with bifurcations that may lead to chaotic motions. Presents general first-order differential equations including non-linear like the Ricatti equation Discusses differentials of the first or higher order in two or more variables Includes discretization of differential equations as finite difference equations Describes parametric resonance of linear time dependent oscillators specified by the Mathieu functions and other methods Examines non-linear oscillations and damping of dynamical systems including bifurcations and chaotic motions
Author : David Johnson,Christina Erneling
Publisher : Oxford University Press
Page : 412 pages
File Size : 47,8 Mb
Release : 1997-04-24
Category : Psychology
ISBN : 9780195356045
The basic idea of the particular way of understanding mental phenomena that has inspired the "cognitive revolution" is that, as a result of certain relatively recent intellectual and technological innovations, informed theorists now possess a more powerfully insightful comparison or model for mind than was available to any thinkers in the past. The model in question is that of software, or the list of rules for input, output, and internal transformations by which we determine and control the workings of a computing machine's hardware. Although this comparison and its many implications have dominated work in the philosophy, psychology, and neurobiology of mind since the end of the Second World War, it now shows increasing signs of losing its once virtually unquestioned preeminence. Thus we now face the question of whether it is possible to repair and save this model by means of relatively inessential "tinkering", or whether we must reconceive it fundamentally and replace it with something different. In this book, twenty-eight leading scholars from diverse fields of "cognitive science"-linguistics, psychology, neurophysiology, and philosophy- present their latest, carefully considered judgements about what they think will be the future course of this intellectual movement, that in many respects has been a watershed in our contemporary struggles to comprehend that which is crucially significant about human beings. Jerome Bruner, Noam Chomsky, Margaret Boden, Ulric Neisser, Rom Harre, Merlin Donald, among others, have all written chapters in a non-technical style that can be enjoyed and understood by an inter-disciplinary audience of psychologists, philosophers, anthropologists, linguists, and cognitive scientists alike.
Author : David Martel Johnson,Christina E. Erneling
Publisher : Oxford University Press, USA
Page : 412 pages
File Size : 46,7 Mb
Release : 1997
Category : Artificial intelligence
ISBN : 9780195103342
Cognitive science has been dominated by a model of mental phenomena based on software--or the rules for input, output, organization, and functioning employed by a computer--which is now showing signs of losing its preeminence. In this book 28 leading scholars from diverse fields carefully consider what that think will be the future course for this intellectual movement.
Author : Anonim
Publisher : Unknown
Page : 600 pages
File Size : 43,5 Mb
Release : 1962
Category : Research
ISBN : UOM:39015086565986
Author : Carmen Chicone
Publisher : Springer Nature
Page : 744 pages
File Size : 55,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9783031516528
Author : Osamu Sano
Publisher : World Scientific
Page : 239 pages
File Size : 44,5 Mb
Release : 2023-06-26
Category : Mathematics
ISBN : 9789811270901
Quite a number of phenomena in science and technology, industrial and/or agricultural production and transport, medical and/or biological flows and movements, social and/or economical developments, etc., depend on many variables, and are very much complicated. Although the detailed knowledge is accumulated in respective fields, it is meaningful to model and analyze the essential part of the phenomena in terms of smaller number of variables, which falls into partial differential equations. This book aims at providing students and researchers the basic ideas and the methods to solve problems in various fields. Particular attention is paid to bridge the gap between mathematics and the real world. To do this, we start from a simple system with intuitively understandable physical background, extract the essential part, formulate into mathematical tools, and then generalize for further application. Here logical thinking in depth and wide linking to various fields are sought to construct intellectual network.
Author : Paul A. Cooper
Publisher : Unknown
Page : 44 pages
File Size : 48,8 Mb
Release : 1967
Category : Buckling (Mechanics)
ISBN : UIUC:30112106869461
Author : V. Z. Vlazov
Publisher : Unknown
Page : 40 pages
File Size : 48,5 Mb
Release : 1960
Category : Shells (Engineering)
ISBN : UIUC:30112106738872