A Second Course in Elementary Differential Equations

A Second Course in Elementary Differential Equations PDF

Author: Paul Waltman

Publisher: Elsevier

Published: 2014-05-10

Total Pages: 272

ISBN-13: 1483276600

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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.

Mathematics for Elementary Teachers

Mathematics for Elementary Teachers PDF

Author: Sybilla Beckmann

Publisher: Pearson Education

Published: 2009-07-01

Total Pages: 883

ISBN-13: 9780321645807

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This activities manul includes activities designed to be done in class or outside of class. These activities promote critical thinking and discussion and give students a depth of understanding and perspective on the concepts presented in the text.

Mathematics for Elementary School Teachers, International Edition

Mathematics for Elementary School Teachers, International Edition PDF

Author: Tom Bassarear

Publisher:

Published: 2008-12-31

Total Pages: 784

ISBN-13: 9780495832065

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MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS, 4e, INTERNATIONAL EDITION offers pre-service teachers a comprehensive mathematics course designed to foster concept development through examples, investigations, and explorations. Visual icons throughout the main text allow instructors to easily connect content to the hands-on activities in the corresponding Explorations Manual. In addition to presenting real-world problems that require active learning, Bassarear demonstrates that there may be many paths to finding a solutionùand even more than one answer. With this exposure, future teachers are better prepared to assess student needs using diverse approaches.

An Elementary Course of Mathematics

An Elementary Course of Mathematics PDF

Author: H. S. Hall

Publisher: Forgotten Books

Published: 2015-06-16

Total Pages: 364

ISBN-13: 9781440085871

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Excerpt from An Elementary Course of Mathematics: Comprising Arithmetic, Algebra and Euclid The main purpose of this text-book is to provide in a single and inexpensive volume a short course of Arithmetic, Algebra, and Euclid specially adapted to the needs of a large and increasing class of students: namely, those who after leaving school desire to continue their study of Elementary Mathematics, partly with help derived from evening classes, and partly by means of private work at home. The majority of such students work under somewhat difficult conditions. They have already received a certain training in Arithmetic, but their mathematical education has gone no further; and the problem which meets them is how - with very limited instruction and leisure - to maintain what they have already learned, and at the same time to acquire from the beginning a sound knowledge of Elementary Algebra and Geometry. What is needed by such learners is first of all a course of varied and graduated Exercises in Arithmetic; then a careful exposition of the two new subjects, Algebra and Euclid, arranged and treated in such a way as to smooth the path of a beginner, and to encourage him to overcome difficulties by relying on his own industry and intelligence. These considerations have been kept in view in compiling the following pages. Accordingly the section on Arithmetic is not intended to take the place of an ordinary text-book, but to supplement lectures and aid in the work of revision. 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.