The book is an integrated introduction to standard topics in differential equations and basic linear algebra for engineering, science, and mathematics students.

Differential Equations With Linear Algebra (The Saunders Series)

Science & Math

Nitecki, Zbigniew H.

Mathematics

Houghton Mifflin Harcourt School

This comprehensive text suitable for math, science, and engineering majors, treats standard elementary topics such as undetermined coefficients, systems of differential equations, substitutions and chemical reactions. Students benefit from the conceptual approach, motivated by detailed physical and mathematical examples. Previous exposure to linear algebra or vectors is not assumed: all necessary linear algebra techniques are introduces as needed with respect to systems of differential equations. Early and consistent notation emphasizes the characteristic polynomial, suggests shortcuts such as the exponential shift, and leads to a natural, unified understanding of undetermined coefficients. Expanded treatment of the qualitative theory of linear systems, especially as applied to nonlinear systems, includes new sections on Interacting Populations, Constants of Motion, Lyapunov Functions, and Limit Cycles and Chaos. BASIC computer programs on approximation algorithms illustrate the use of technology in numerical methods.

Differential Equations: A First Course, Third Edition

Guterman, Martin M.

Saunders College Pub.

Calculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a "bridge course" using basica analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject. No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum,

Calculus Deconstructed: A Second Course in First-Year Calculus (Mathematical Association of America Textbooks)

American Mathematical Society

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Books by Nitecki, Zbigniew H.