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A Second Course in Elementary Differential Equations

A Second Course in Elementary Differential Equations PDF Author: Paul Waltman
Publisher: Elsevier
ISBN: 1483276600
Category : Mathematics
Languages : en
Pages : 272

Book Description
A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra, constant coefficient case, repeated eigenvalues, and the employment of the Putzer algorithm for nondiagonalizable coefficient matrix. The text describes, in geometrical and in an intuitive approach, Liapunov stability, qualitative behavior, the phase plane concepts, polar coordinate techniques, limit cycles, the Poincaré-Bendixson theorem. The book explores, in an analytical procedure, the existence and uniqueness theorems, metric spaces, operators, contraction mapping theorem, and initial value problems. The contraction mapping theorem concerns operators that map a given metric space into itself, in which, where an element of the metric space M, an operator merely associates with it a unique element of M. The text also tackles inner products, orthogonality, bifurcation, as well as linear boundary value problems, (particularly the Sturm-Liouville problem). The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.

A Second Course in Elementary Differential Equations

A Second Course in Elementary Differential Equations PDF Author: Paul Waltman
Publisher: Elsevier
ISBN: 1483276600
Category : Mathematics
Languages : en
Pages : 272

Book Description
A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra, constant coefficient case, repeated eigenvalues, and the employment of the Putzer algorithm for nondiagonalizable coefficient matrix. The text describes, in geometrical and in an intuitive approach, Liapunov stability, qualitative behavior, the phase plane concepts, polar coordinate techniques, limit cycles, the Poincaré-Bendixson theorem. The book explores, in an analytical procedure, the existence and uniqueness theorems, metric spaces, operators, contraction mapping theorem, and initial value problems. The contraction mapping theorem concerns operators that map a given metric space into itself, in which, where an element of the metric space M, an operator merely associates with it a unique element of M. The text also tackles inner products, orthogonality, bifurcation, as well as linear boundary value problems, (particularly the Sturm-Liouville problem). The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.

A Second Course in Elementary Algebra

A Second Course in Elementary Algebra PDF Author: Jacob William Albert Young
Publisher: Legare Street Press
ISBN: 9781020771095
Category :
Languages : en
Pages : 0

Book Description
This textbook is designed as a follow-up to a first course in elementary algebra, covering more advanced topics including quadratic equations, polynomial functions, and exponential and logarithmic functions. The book includes numerous examples, exercises, and real-world applications to help students develop their problem-solving skills. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A Second Course in Elementary Algebra

A Second Course in Elementary Algebra PDF Author: Jacob William Albert Young
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 232

Book Description


A Second Course in Elementary Algebra

A Second Course in Elementary Algebra PDF Author: Jacob William Albert Young
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 238

Book Description


A Second Course in Elementary Algebra

A Second Course in Elementary Algebra PDF Author: J. W. A. Young
Publisher: Forgotten Books
ISBN: 9781330270820
Category : Mathematics
Languages : en
Pages : 229

Book Description
Excerpt from A Second Course in Elementary Algebra The material in this volume is prepared for the use of pupils who have done a year's work in Elementary Algebra. Many high schools divide their Algebra work into two courses separated by some work in Geometry and elementary science. These schools often find it more convenient and economical to use two books in Algebra, one for the first course and another for the second. The authors' First Course in Elementary Algebra is planned for first-year work and this book is planned for the second-year work. The first six chapters are a review and extension of the topics of the First Course. The chapter on logarithms is new in name only, because in theory it is an extension of the subject of exponents. The remainder of the volume treats the usual topics, Equations, Proportion, Variation and Series, supplemented by problems applying Algebra to Geometry. Throughout the treatment the authors have constantly kept in mind both the logical value and the practical utility of the subject. The logical value of Algebra is of prime importance; hence, the proofs of processes are based upon reasons both correct and satisfying to the mind of the pupil. On the other hand, subtle distinctions and arguments savoring of higher mathematical methods without their true rigor have been avoided. The utility of Algebra is given the emphasis which it so richly deserves. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Second Course in Elementary Algebra (Classic Reprint)

A Second Course in Elementary Algebra (Classic Reprint) PDF Author: J. W. A. Young
Publisher: Forgotten Books
ISBN: 9781527946422
Category : Mathematics
Languages : en
Pages : 228

Book Description
Excerpt from A Second Course in Elementary Algebra Throughout the treatment the authors have constantly kept in mind both the logical value and the practical utility of the subject. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Elementary Algebra

Elementary Algebra PDF Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 432

Book Description


Second Course in Algebra

Second Course in Algebra PDF Author: Herbert Edwin Hawkes
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 280

Book Description
The material in this revision has been made consistent with a standard course in third-semester algebra. The needs of classes differ widely, with one class needing more review on a certain topic than does another, thus the chapters are arranged to be used or omitted as required. Review material has been expanded so as to afford ample work for any class. It is not intended that all the exercises and problems should be solved by any one student. The whole volume is designed to secure with as little labor as possible the maximum illumination and interest.

Practical Elementary Algebra

Practical Elementary Algebra PDF Author: Joseph Victor Collins
Publisher:
ISBN:
Category :
Languages : en
Pages : 303

Book Description


Elementary Algebra

Elementary Algebra PDF Author: John C. Stone
Publisher: Forgotten Books
ISBN: 9780484005425
Category : Mathematics
Languages : en
Pages : 322

Book Description
Excerpt from Elementary Algebra: Second Course Tms volume has been prepared as a companion to the first course in elementary algebra, written by the same authors. As its title suggests, the second course is designed for students who have had the equivalent of the work given in the first course. The first course gives one year's work, including the topics now generally taught in the first year of the average high school. The second course reviews the topics treated in the first course, amplifies the treatment in the latter by the addition of new matter where necessary, and extends the course to include all topics required for admission to college. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.