Ordinary Differential Equations

Author: Morris Tenenbaum
Editor: Courier Corporation
ISBN: 0486649407
Size: 19,61 MB
Format: PDF, Mobi
Read: 266
Download

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.

Ordinary Differential Equations

Author: Morris Tenenbaum
Editor: Courier Corporation
ISBN: 9780486134642
Size: 13,83 MB
Format: PDF, ePub, Mobi
Read: 128
Download

This unusually well-written, skillfully organized introductory text provides an exhaustive survey of ordinary differential equations — equations which express the relationship between variables and their derivatives. In a disarmingly simple, step-by-step style that never sacrifices mathematical rigor, the authors — Morris Tenenbaum of Cornell University, and Harry Pollard of Purdue University — introduce and explain complex, critically-important concepts to undergraduate students of mathematics, engineering and the sciences. The book begins with a section that examines the origin of differential equations, defines basic terms and outlines the general solution of a differential equation-the solution that actually contains every solution of such an equation. Subsequent sections deal with such subjects as: integrating factors; dilution and accretion problems; the algebra of complex numbers; the linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas; and Picard's Method of Successive Approximations. The book contains two exceptional chapters: one on series methods of solving differential equations, the second on numerical methods of solving differential equations. The first includes a discussion of the Legendre Differential Equation, Legendre Functions, Legendre Polynomials, the Bessel Differential Equation, and the Laguerre Differential Equation. Throughout the book, every term is clearly defined and every theorem lucidly and thoroughly analyzed, and there is an admirable balance between the theory of differential equations and their application. An abundance of solved problems and practice exercises enhances the value of Ordinary Differential Equations as a classroom text for undergraduate students and teaching professionals. The book concludes with an in-depth examination of existence and uniqueness theorems about a variety of differential equations, as well as an introduction to the theory of determinants and theorems about Wronskians.

Ordinary Differential Equations

Author: Morris Tenenbaum
Editor:
ISBN:
Size: 19,26 MB
Format: PDF
Read: 428
Download


Ordinary Differential Equations

Author: Wolfgang Walter
Editor: Springer Science & Business Media
ISBN: 1461206014
Size: 19,31 MB
Format: PDF
Read: 967
Download

Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to mathematical biology are included and solutions of selected exercises are found at the end of the book. It is suitable for mathematics, physics, and computer science graduate students to be used as collateral reading and as a reference source for mathematicians. Readers should have a sound knowledge of infinitesimal calculus and be familiar with basic notions from linear algebra; functional analysis is developed in the text when needed.

Ordinary Differential Equations

Author: Vladimir I. Arnold
Editor: Springer Science & Business Media
ISBN: 9783540548133
Size: 20,97 MB
Format: PDF, Docs
Read: 837
Download

Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. From the reviews: "Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation." --SIAM REVIEW

Ordinary Differential Equations

Author: Edward L. Ince
Editor: Courier Corporation
ISBN: 0486158217
Size: 18,78 MB
Format: PDF, Docs
Read: 590
Download

Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; much more. "Highly recommended" — Electronics Industries.

Ordinary Differential Equations

Author: Luis Barreira
Editor: American Mathematical Soc.
ISBN: 0821887491
Size: 15,95 MB
Format: PDF, ePub, Docs
Read: 804
Download

This textbook provides a comprehensive introduction to the qualitative theory of ordinary differential equations. It includes a discussion of the existence and uniqueness of solutions, phase portraits, linear equations, stability theory, hyperbolicity and equations in the plane. The emphasis is primarily on results and methods that allow one to analyze qualitative properties of the solutions without solving the equations explicitly. The text includes numerous examples that illustrate in detail the new concepts and results as well as exercises at the end of each chapter. The book is also intended to serve as a bridge to important topics that are often left out of a course on ordinary differential equations. In particular, it provides brief introductions to bifurcation theory, center manifolds, normal forms and Hamiltonian systems.

Ordinary Differential Equations

Author: D. Somasundaram
Editor: CRC Press
ISBN: 9780849309885
Size: 13,66 MB
Format: PDF, ePub, Mobi
Read: 355
Download

Though ordinary differential equations is taught as a core course to students in mathematics and applied mathematics, detailed coverage of the topics with sufficient examples is unique. Written by a mathematics professor and intended as a textbook for third- and fourth-year undergraduates, the five chapters of this publication give a precise account of higher order differential equations, power series solutions, special functions, existence and uniqueness of solutions, and systems of linear equations. Relevant motivation for different concepts in each chapter and discussion of theory and problems-without the omission of steps-sets Ordinary Differential Equations: A First Course apart from other texts on ODEs. Full of distinguishing examples and containing exercises at the end of each chapter, this lucid course book will promote self-study among students.

Ordinary Differential Equations And Their Solutions

Author: George Moseley Murphy
Editor: Courier Corporation
ISBN: 0486485919
Size: 19,16 MB
Format: PDF, Docs
Read: 394
Download

This treatment presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that standard equations can be easily found. Plus, the substantial number and variety of equations promises an exact equation or a sufficiently similar one. 1960 edition.

Ordinary Differential Equations

Author: Philip Hartman
Editor: SIAM
ISBN: 0898715105
Size: 14,13 MB
Format: PDF, ePub, Docs
Read: 664
Download

Covers the fundamentals of the theory of ordinary differential equations.