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A Modern Introduction To Differential Equations

Author: Henry J. Ricardo
Publisher: Academic Press
ISBN: 0080886035
Size: 45.61 MB
Format: PDF, ePub, Mobi
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A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical, and numerical aspects of first-order equations, including slope fields and phase lines. The discussions then cover methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients; systems of linear differential equations; the Laplace transform and its applications to the solution of differential equations and systems of differential equations; and systems of nonlinear equations. Each chapter concludes with a summary of the important concepts in the chapter. Figures and tables are provided within sections to help students visualize or summarize concepts. The book also includes examples and exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering. This book is designed for undergraduate students majoring in mathematics, the natural sciences, and engineering. However, students in economics, business, and the social sciences with the necessary background will also find the text useful. Student friendly readability- assessible to the average student Early introduction of qualitative and numerical methods Large number of exercises taken from biology, chemistry, economics, physics and engineering Exercises are labeled depending on difficulty/sophistication End of chapter summaries Group projects

A Modern Introduction To Differential Equations

Author: Henry J. Ricardo
Publisher: Academic Press
ISBN: 0123859131
Size: 58.77 MB
Format: PDF
View: 6306
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A Modern Introduction to Differential Equations presents a solid yet highly accessible introduction to differential equations, developing the concepts from a dynamical systems perspective and employing technology to treat topics graphically, numerically and analytically. This text is designed to be appropriate for a wide variety of students and exists as a natural successor to any modern calculus sequence. Ancillary list: * Online ISM- http://textbooks.elsevier.com/web/product_details.aspx?isbn=9780123747464 * Online SSM- http://www.elsevierdirect.com/product.jsp?isbn=9780123747464 * Algorithmic Testing by Maple- http://www.elsevierdirect.com/product.jsp?isbn=9780123747464 * Sample content, Ebook- http://www.elsevierdirect.com/product.jsp?isbn=9780123747464 * Image collection- http://www.elsevierdirect.com/companion.jsp?ISBN=9780123747464 - student friendly readability- assessible to the average student - early introduction of qualitative and numerical methods - large number of exercises taken from biology, chemistry, economics, physics and engineering - Exercises are labeled depending on difficulty/sophistication - Full ancillary package including; Instructors guide, student solutions manual and course management system - end of chapter summaries - group projects

A Modern Introduction To Differential Equations

Author: Henry Ricardo
Publisher: Academic Press
ISBN: 9780123747464
Size: 54.98 MB
Format: PDF, ePub, Mobi
View: 5959
Download and Read
A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical, and numerical aspects of first-order equations, including slope fields and phase lines. The discussions then cover methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients; systems of linear differential equations; the Laplace transform and its applications to the solution of differential equations and systems of differential equations; and systems of nonlinear equations. Each chapter concludes with a summary of the important concepts in the chapter. Figures and tables are provided within sections to help students visualize or summarize concepts. The book also includes examples and exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering. This book is designed for undergraduate students majoring in mathematics, the natural sciences, and engineering. However, students in economics, business, and the social sciences with the necessary background will also find the text useful. - student friendly readability- assessible to the average student - early introduction of qualitative and numerical methods - large number of exercises taken from biology, chemistry, economics, physics and engineering - Exercises are labeled depending on difficulty/sophistication - Full ancillary package including; Instructors guide, student solutions manual and course management system - end of chapter summaries - group projects

A Modern Introduction To Differential Equations

Author: CTI Reviews
Publisher: Cram101 Textbook Reviews
ISBN: 1478422653
Size: 33.72 MB
Format: PDF, ePub, Docs
View: 2580
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Facts101 is your complete guide to A Modern Introduction to Differential Equations. In this book, you will learn topics such as The Numerical Approximation of Solutions, Second- and Higher-Order Equations, Systems of Linear Differential Equations, and The Laplace Transform plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

An Introduction To Differential Equations And Their Applications

Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 0486135136
Size: 36.28 MB
Format: PDF, Docs
View: 3164
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This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

Introduction To Differential Equations

Author: Michael Eugene Taylor
Publisher: American Mathematical Soc.
ISBN: 082185271X
Size: 29.75 MB
Format: PDF, Kindle
View: 2625
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The mathematical formulations of problems in physics, economics, biology, and other sciences are usually embodied in differential equations. The analysis of the resulting equations then provides new insight into the original problems. This book describes the tools for performing that analysis. The first chapter treats single differential equations, emphasizing linear and nonlinear first order equations, linear second order equations, and a class of nonlinear second order equations arising from Newton's laws. The first order linear theory starts with a self-contained presentation of the exponential and trigonometric functions, which plays a central role in the subsequent development of this chapter. Chapter 2 provides a mini-course on linear algebra, giving detailed treatments of linear transformations, determinants and invertibility, eigenvalues and eigenvectors, and generalized eigenvectors. This treatment is more detailed than that in most differential equations texts, and provides a solid foundation for the next two chapters. Chapter 3 studies linear systems of differential equations. It starts with the matrix exponential, melding material from Chapters 1 and 2, and uses this exponential as a key tool in the linear theory. Chapter 4 deals with nonlinear systems of differential equations. This uses all the material developed in the first three chapters and moves it to a deeper level. The chapter includes theoretical studies, such as the fundamental existence and uniqueness theorem, but also has numerous examples, arising from Newtonian physics, mathematical biology, electrical circuits, and geometrical problems. These studies bring in variational methods, a fertile source of nonlinear systems of differential equations. The reader who works through this book will be well prepared for advanced studies in dynamical systems, mathematical physics, and partial differential equations.

An Introduction To Differential Equations

Author: Florin Diacu
Publisher: W H Freeman & Company
ISBN: 9780716732969
Size: 20.94 MB
Format: PDF, Kindle
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The year 1215 saw a time of global upheaval from which the ripples can still be felt today - but it was also an age of domestic changes and the development of a way of life not entirely different from our own. From the oddest detail to the grandest political struggle, Danny Danzinger and John Gillingham paint an extraordinary picture of this fascinating age, featuring a cast of some of the most enduring names in history - Bad King John, Genghis Khan, St Francis of Assisi - as well as the thousands of ordinary people whose lives were affected by the historical events happening around them. The power struggles are balanced with the social issues of the day - fashion, communications, education, medicine, religion and sex - as the authors explore the attitudes and habits of a nation in flux, and the ways in which they sculpted the modern world.

Introduction To Linear Algebra And Differential Equations

Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 0486158314
Size: 40.85 MB
Format: PDF, Docs
View: 6415
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Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

The Qualitative Theory Of Ordinary Differential Equations

Author: Fred Brauer
Publisher: Courier Corporation
ISBN: 0486151514
Size: 55.38 MB
Format: PDF, Mobi
View: 5390
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Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.