A Modern Introduction to Differential Equations PDF Download
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Author: Henry J. Ricardo
Publisher: Academic Press
ISBN: 9780128182178
Category :
Languages : en
Pages : 576
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Book Description
A Modern Introduction to Differential Equations, Third 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 comprehensive resource then covers 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. Throughout the text, valuable pedagogical features support learning and teaching. Each chapter concludes with a summary of important concepts, and figures and tables are provided to help students visualize or summarize concepts. The book also includes examples and updated exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering. Offers an accessible and highly readable resource to engage students Introduces qualitative and numerical methods early to build understanding Includes a large number of exercises from biology, chemistry, economics, physics and engineering Provides exercises that are labeled based on difficulty/sophistication, end-of-chapter summaries and group projects
Author: Henry J. Ricardo
Publisher: Academic Press
ISBN: 9780128182178
Category :
Languages : en
Pages : 576
Get Book Here
Book Description
A Modern Introduction to Differential Equations, Third 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 comprehensive resource then covers 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. Throughout the text, valuable pedagogical features support learning and teaching. Each chapter concludes with a summary of important concepts, and figures and tables are provided to help students visualize or summarize concepts. The book also includes examples and updated exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering. Offers an accessible and highly readable resource to engage students Introduces qualitative and numerical methods early to build understanding Includes a large number of exercises from biology, chemistry, economics, physics and engineering Provides exercises that are labeled based on difficulty/sophistication, end-of-chapter summaries and group projects
Author: Richard Bellman
Publisher: Courier Corporation
ISBN: 9780486686431
Category : Mathematics
Languages : en
Pages : 260
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Book Description
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.
Author: David A. Sanchez
Publisher: Courier Dover Publications
ISBN: 0486837599
Category : Mathematics
Languages : en
Pages : 179
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Book Description
This brief modern introduction to the subject of ordinary differential equations emphasizes stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for advanced undergraduates or beginning graduate students who have completed a first course in ordinary differential equations. The author begins by developing the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. Subsequent chapters explore the linear equation with constant coefficients, stability theory for autonomous and nonautonomous systems, and the problems of the existence and uniqueness of solutions and related topics. Problems at the end of each chapter and two Appendixes on special topics enrich the text.
Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 0486158314
Category : Mathematics
Languages : en
Pages : 442
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Book Description
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.
Author: Jack Leonard Goldberg
Publisher: HarperCollins Publishers
ISBN:
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Author: Henry J. Ricardo
Publisher: Academic Press
ISBN: 0080886035
Category : Mathematics
Languages : en
Pages : 535
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Book Description
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
Author: Martin Schechter
Publisher: Courier Corporation
ISBN: 0486492966
Category : Mathematics
Languages : en
Pages : 259
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Book Description
When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Now it remains a permanent, much-cited contribution to the ever-expanding literature.
Author: Michael Renardy
Publisher: Springer Science & Business Media
ISBN: 0387216871
Category : Mathematics
Languages : en
Pages : 447
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Book Description
Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.
Author: E. C. Zachmanoglou
Publisher: Courier Corporation
ISBN: 048613217X
Category : Mathematics
Languages : en
Pages : 434
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Book Description
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
Author: James R. Brannan
Publisher: Wiley
ISBN: 9781118089866
Category : Mathematics
Languages : en
Pages :
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Book Description
This package includes a three-hole punched, loose-leaf edition of ISBN 9781118011874 and a registration code for the WileyPLUS course associated with the text. Before you purchase, check with your instructor or review your course syllabus to ensure that your instructor requires WileyPLUS. For customer technical support, please visit http://www.wileyplus.com/support. WileyPLUS registration cards are only included with new products. Used and rental products may not include WileyPLUS registration cards. The modern landscape of technology and industry demands an equally modern approach to differential equations in the classroom. Designed for a first course in differential equations, the second edition of Brannan/Boyce's Differential Equations: An Introduction to Modern Methods and Applications is consistent with the way engineers and scientists use mathematics in their daily work. The focus on fundamental skills, careful application of technology, and practice in modeling complex systems prepares students for the realities of the new millennium, providing the building blocks to be successful problem-solvers in today's workplace. The text emphasizes a systems approach to the subject and integrates the use of modern computing technology in the context of contemporary applications from engineering and science. Section exercises throughout the text provide a hands-on experience in modeling, analysis, and computer experimentation. Projects at the end of each chapter provide additional opportunities for students to explore the role played by differential equations in the sciences and engineering.
