A Modern Introduction to Differential Equations
A Modern Introduction to Differential Equations

Author: Henry J. Ricardo

Publisher: Academic Press

Published: 2020-05

Total Pages: 576

ISBN-13: 9780128182178

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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

Modern Elementary Differential Equations
Modern Elementary Differential Equations

Author: Richard Bellman

Publisher: Courier Corporation

Published: 1995-01-01

Total Pages: 260

ISBN-13: 9780486686431

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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.

Ordinary Differential Equations and Stability Theory:
Ordinary Differential Equations and Stability Theory:

Author: David A. Sanchez

Publisher: Courier Dover Publications

Published: 2019-09-18

Total Pages: 179

ISBN-13: 0486837599

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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.

Modern Methods in Partial Differential Equations
Modern Methods in Partial Differential Equations

Author: Martin Schechter

Publisher: Courier Corporation

Published: 2014-01-15

Total Pages: 259

ISBN-13: 0486492966

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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.

A Modern Introduction to Differential Equations
A Modern Introduction to Differential Equations

Author: Henry J. Ricardo

Publisher: Academic Press

Published: 2009-02-24

Total Pages: 535

ISBN-13: 0080886035

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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

Introduction to Linear Algebra and Differential Equations
Introduction to Linear Algebra and Differential Equations

Author: John W. Dettman

Publisher: Courier Corporation

Published: 2012-10-05

Total Pages: 442

ISBN-13: 0486158314

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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.

Introduction to Partial Differential Equations with Applications
Introduction to Partial Differential Equations with Applications

Author: E. C. Zachmanoglou

Publisher: Courier Corporation

Published: 2012-04-20

Total Pages: 434

ISBN-13: 048613217X

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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.

Partial Differential Equations
Partial Differential Equations

Author: David Colton

Publisher: Courier Corporation

Published: 2012-06-14

Total Pages: 322

ISBN-13: 0486138437

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This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.

Differential Equations: From Calculus to Dynamical Systems: Second Edition
Differential Equations: From Calculus to Dynamical Systems: Second Edition

Author: Virginia W. Noonburg

Publisher: American Mathematical Soc.

Published: 2020-08-28

Total Pages: 402

ISBN-13: 1470463296

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A thoroughly modern textbook for the sophomore-level differential equations course. The examples and exercises emphasize modeling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems. Bifurcations and analysis of parameter variation is a persistent theme. Presuming previous exposure to only two semesters of calculus, necessary linear algebra is developed as needed. The exposition is very clear and inviting. The book would serve well for use in a flipped-classroom pedagogical approach or for self-study for an advanced undergraduate or beginning graduate student. This second edition of Noonburg's best-selling textbook includes two new chapters on partial differential equations, making the book usable for a two-semester sequence in differential equations. It includes exercises, examples, and extensive student projects taken from the current mathematical and scientific literature.