Download or read book Revolutions in Differential Equations written by M. J. Kallaher and published by Cambridge University Press. This book was released on 1999-11-11 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the direction in which the field of differential equations, and its teaching, is going.
Download or read book Calculus written by Gilbert Strang and published by Wellesley-Cambridge Press. This book was released on 2017-09-14 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Theory of Momentless Shells of Revolution written by V. Z. Vlazov and published by . This book was released on 1960 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementary Differential Equations with Boundary Value Problems written by William F. Trench and published by Thomson Brooks/Cole. This book was released on 2001 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.
Download or read book Particular Solutions of the Differential Equations for the Torsion of a Body Revolution written by Richard George Stoneham and published by . This book was released on 1944 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ordinary Differential Equations written by Edward Lindsay Ince and published by . This book was released on 1927 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on the Differential Calculus written by Bartholomew Price and published by . This book was released on 1852 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Examples of Differential Equations written by George Abbott Osborne and published by . This book was released on 1889 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modelling with Ordinary Differential Equations written by T.P. Dreyer and published by CRC Press. This book was released on 1993-06-28 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Quantum Revolution written by Kent A. Peacock and published by Bloomsbury Publishing USA. This book was released on 2007-12-30 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics is one of the great success stories of modern physics, making sense of the very small just as Einstein's theory of relativity made sense of the very large. But, for most students, the ideas that make quantum mechanics powerful can be confusing and counterintuitive. This volume in the Greenwood Guides to Great Ideas in Science series provides a history of quantum mechanics from the early breakthroughs of Planck and Einstein, at the beginning of the 20th century, to the present frontiers of quantum computing and quantum gravity. The approach is entirely non-technical, and is aimed at the general reader who may not have much mathematical background but who has a strong curiosity about some of the most important developments in modern science. Quantum Mechanics: A Historical Perspective traces the history of this powerful theory, including: ; The early discoveries by Max Planck and Albert Einstein regarding the quantization of radiation ; The early quantum theory, including Neils Bohr's theory of the atom ; The birth of modern quantum mechanics through the work of Heisenberg, Schrodinger, Born, Dirac and others ; Applications of quantum mechanics in chemistry, nuclear physics, electronics, and many other areas ; Recent work in quantum computation and quantum information theory The book emphasizes the fact that despite the great success of quantum mechanics, many exciting intellectual frontiers remain open for further researchers to explore. It includes a glossary, a timeline, and a bibliography of accessible resources for further research.
Download or read book Ordinary Differential Equations written by Morris Tenenbaum and published by Courier Corporation. This book was released on 1985-10-01 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Integral Calculus for Beginners written by Joseph Edwards and published by . This book was released on 1894 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific and Technical Revolution Yesterday Today and Tomorrow written by Elena G. Popkova and published by Springer Nature. This book was released on 2020-06-05 with total page 1763 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Study of Differential Equations Related to the Response of Shells of Revolution to Blast Loading written by James Ting-Shun Wang and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stresses in Layered Shells of Revolution written by V. Kovarik and published by Elsevier. This book was released on 2013-10-22 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shell structures are key components in a very wide range of engineering enterprises. The theory of layered shells of revolution under the quasistatic action of loading and temperature is the subject of this book. The shells treated here are in general of an asymmetric sandwich structure. A linear theory is developed which allows for a transition to shells with less layers, that is two-layered and homogeneous structures.The first half of the book is concerned with orthotropic elastic shells. In particular, it includes the membrane theory of cylindrical, spherical and conical shells, and the bending theory of cylindrical shells, storage tanks and pressure-vessels. In each of the numerical examples considered, an attempt is made to map different regimes of structural behaviour.The second half of the book is devoted to viscoelastic shells. First the time-invariant hereditary theory is presented, describing the response of viscoelastic materials. According to the correspondence principle of this theory the actual viscoelastic shell may be replaced by a conjugate elastic one. In this way many of the results from the first half of the book can be put to good use even for viscoelastic shells. The time-dependent material characteristics are taken into account by means of the time-temperature principle.In an appendix (Part VI), the mathematical prerequisites are presented. With viscoelasticity comes the need to employ further mathematical disciplines; integral equations and integral transformations are usually encountered. Here, instead, a different concept has been chosen, the distributional concept of Laurent Schwartz, which allows many problems to be tackled in a simple formal way. In discussing the distribution theory, a level accessible to a technical reader has been maintained.The book is intended as a textbook for students and teachers of structural and aeronautical engineering. The book will also appeal to a broad range of practising engineers working in areas of aeronautical, civil, and mechanical engineering, as well as to those working for firms dealing with shell structures.
Download or read book Integral Calculus and Differential Equations Using Mathematica written by Cesar Perez Lopez and published by Createspace Independent Publishing Platform. This book was released on 2016-01-16 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides all the material needed to work on Integral Calculus and Differential Equations using Mathematica. It includes techniques for solving all kinds of integral and its applications for calculating lengths of curves, areas, volumes, surfaces of revolution... With Mathematica is possible solve ordinary and partial differential equations of various kinds, and systems of such equations, either symbolically or using numerical methods (Euler's method,, the Runge-Kutta method,...). It also describes how to implement mathematical tools such as the Laplace transform, orthogonal polynomials, and special functions (Airy and Bessel functions), and find solutions of differential equations in partial derivatives.The main content of the book is as follows:PRACTICAL INTRODUCTION TO MATHEMATICA 1.1 CALCULATION NUMERIC WITH MATHEMATICA 1.2 SYMBOLIC CALCULATION WITH MATHEMATICA 1.3 GRAPHICS WITH MATHEMATICA 1.4 MATHEMATICA AND THE PROGRAMMING INTEGRATION AND APPLICATIONS 2.1 INDEFINITE INTEGRALS 2.1.1 Inmediate integrals 2.2 INTEGRATION BY SUBSTITUTION (OR CHANGE OF VARIABLES) 2.2.1 Exponential, logarithmic, hyperbolic and inverse circular functions 2.2.2 Irrational functions, binomial integrals 2.3 INTEGRATION BY PARTS 2.4 INTEGRATION BY REDUCTION AND CYCLIC INTEGRATION DEFINITE INTEGRALS. CURVE ARC LENGTH, AREAS, VOLUMES AND SURFACES OF REVOLUTION. IMPROPER INTEGRALS 3.1 DEFINITE INTEGRALS 3.2 CURVE ARC LENGTH 3.3 THE AREA ENCLOSED BETWEEN CURVES 3.4 SURFACES OF REVOLUTION 3.5 VOLUMES OF REVOLUTION 3.6 CURVILINEAR INTEGRALS 3.7 IMPROPER INTEGRALS 3.8 PARAMETER DEPENDENT INTEGRALS 3.9 THE RIEMANN INTEGRAL INTEGRATION IN SEVERAL VARIABLES AND APPLICATIONS. AREAS AND VOLUMES. DIVERGENCE, STOKES AND GREEN'S THEOREMS 4.1 AREAS AND DOUBLE INTEGRALS 4.2 SURFACE AREA BY DOUBLE INTEGRATION 4.3 VOLUME CALCULATION BY DOUBLE INTEGRALS 4.4 VOLUME CALCULATION AND TRIPLE INTEGRALS 4.5 GREEN'S THEOREM 4.6 THE DIVERGENCE THEOREM 4.7 STOKES' THEOREM FIRST ORDER DIFFERENTIAL EQUATIONS. SEPARATES VARIABLES, EXACT EQUATIONS, LINEAR AND HOMOGENEOUS EQUATIONS. NUMERIACAL METHODS 5.1 SEPARATION OF VARIABLES 5.2 HOMOGENEOUS DIFFERENTIAL EQUATIONS 5.3 EXACT DIFFERENTIAL EQUATIONS 5.4 LINEAR DIFFERENTIAL EQUATIONS 5.5 NUMERICAL SOLUTIONS TO DIFFERENTIAL EQUATIONS OF THE FIRST ORDER HIGH-ORDER DIFFERENTIAL EQUATIONS AND SYSTEMS OF DIFFERENTIAL EQUATIONS 6.1 ORDINARY HIGH-ORDER EQUATIONS 6.2 HIGHER-ORDER LINEAR HOMOGENEOUS EQUATIONS WITH CONSTANT COEFFICIENTS 6.3 NON-HOMOGENEOUS EQUATIONS WITH CONSTANT COEFFICIENTS. VARIATION OF PARAMETERS 6.4 NON-HOMOGENEOUS LINEAR EQUATIONS WITH VARIABLE COEFFICIENTS. CAUCHY-EULER EQUATIONS 66.5 THE LAPLACE TRANSFORM 6.6 SYSTEMS OF LINEAR HOMOGENEOUS EQUATIONS WITH CONSTANT COEFFICIENTS 6.7 SYSTEMS OF LINEAR NON-HOMOGENEOUS EQUATIONS WITH CONSTANT COEFFICIENTS HIGHER ORDEN DIFFERENTIAL EQUATIONS AND SYSTEMS USING APPROXIMATION METHODS. DIFFERENTIAL EQUATIONS IN PARTIAL DERIVATIVES 7.1 HIGHER ORDER EQUATIONS AND APPROXIMATION METHODS 7.2 THE EULER METHOD 7.3 THE RUNGE-KUTTA METHOD 7.4 DIFFERENTIAL EQUATIONS SYSTEMS BY APPROXIMATE METHODS 7.5 DIFFERENTIAL EQUATIONS IN PARTIAL DERIVATIVES 7.6 ORTHOGONAL POLYNOMIALS 7.7 AIRY AND BESSEL FUNCTIONS
Download or read book Multidimensional Inverse Problems for Differential Equations written by M. M. Lavrentiev and published by Springer. This book was released on 2006-11-15 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt:
