a modern introduction to differential equations

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Student Solutions Manual A Modern Introduction To Differential Equations

Author : Henry J. Ricardo
ISBN : 9780123750297
Genre : Science
File Size : 73. 32 MB
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Student Solutions Manual, A Modern Introduction to Differential Equations

A Modern Introduction To Differential Equations

Author : Henry J. Ricardo
ISBN : 9780080886039
Genre : Mathematics
File Size : 85. 8 MB
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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 : CTI Reviews
ISBN : 9781478422655
Genre : Education
File Size : 51. 90 MB
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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.

Differential Equations With Boundary Value Problems

Author : James R. Brannan
ISBN : 0470902140
Genre : Boundary value problems
File Size : 89. 44 MB
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Unlike other books in the market, this second edition presents differential equations consistent with the way scientists and engineers use modern methods in their work. Technology is used freely, with more emphasis on modeling, graphical representation, qualitative concepts, and geometric intuition than on theoretical issues. It also refers to larger–scale computations that computer algebra systems and DE solvers make possible. And more exercises and examples involving working with data and devising the model provide scientists and engineers with the tools needed to model complex real–world situations.

Introduction To Linear Algebra And Differential Equations

Author : John W. Dettman
ISBN : 9780486158310
Genre : Mathematics
File Size : 80. 75 MB
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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.

An Introduction To Differential Equations

Author : Florin Diacu
ISBN : 0716732963
Genre : Mathematics
File Size : 22. 28 MB
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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.

Ordinary Differential Equations And Stability Theory

Author : David A. Sánchez
ISBN : 9780486638287
Genre : Mathematics
File Size : 53. 10 MB
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Beginning with a general discussion of the linear equation, topics developed include stability theory for autonomous and nonautonomous systems. Two appendices are also provided, and there are problems at the end of each chapter — 55 in all. Unabridged republication of the original (1968) edition. Appendices. Bibliography. Index. 55 problems.

Introduction To Differential Equations With Dynamical Systems

Author : Stephen L. Campbell
ISBN : 9781400841325
Genre : Mathematics
File Size : 25. 84 MB
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Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, engineering, and science students experience during a first course on differential equations. And, while covering all the standard parts of the subject, the book emphasizes linear constant coefficient equations and applications, including the topics essential to engineering students. Stephen Campbell and Richard Haberman--using carefully worded derivations, elementary explanations, and examples, exercises, and figures rather than theorems and proofs--have written a book that makes learning and teaching differential equations easier and more relevant. The book also presents elementary dynamical systems in a unique and flexible way that is suitable for all courses, regardless of length.

Introduction To Differential Equations

Author : Michael Eugene Taylor
ISBN : 9780821852712
Genre : Mathematics
File Size : 51. 96 MB
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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.

Modern Elementary Differential Equations

Author : Richard Bellman
ISBN : 0486686434
Genre : Mathematics
File Size : 71. 88 MB
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Designed to introduce students to the theory and applications of differential equations and to help them formulate scientific problems in terms of such equations, this undergraduate-level text emphasizes applications to problems in biology, economics, engineering, and physics. This edition also includes material on discontinuous solutions, Riccati and Euler equations, and linear difference equations.

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