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Hundreds of novel and innovative computer algebra "recipes" will enable readers starting at the second year undergraduate level to easily and rapidly solve and explore most problems they encounter in their classical mechanics studies. Using the powerful computer algebra system MAPLE (Release 8) - no prior knowledge of MAPLE is presumed - the relevant command structures are explained on a need-to-know basis as the recipes are developed. This new problem-solving guide can serve in the classroom or for self-study, for reference, or as a text for an on-line course.
List of contents
A. Computer Algebra Systems.- B. The Spiral Approach to Learning Mechanics.- C. Maple Help.- D. Introductory Recipe.- E. How to Use this Text.- I The Appetizers.- 1 Vectors and Kinematics.- 2 Newtonian Mechanics.- II The Entrees.- 3 Vector Calculus.- 4 Newtonian Dynamics I.- 5 Newtonian Dynamics II.- III The Desserts.- 6 Lagrangian & Hamiltonian Dynamics.
Summary
Hundreds of novel and innovative computer algebra "recipes" will enable readers starting at the second year undergraduate level to easily and rapidly solve and explore most problems they encounter in their classical mechanics studies. Using the powerful computer algebra system MAPLE (Release 8) - no prior knowledge of MAPLE is presumed - the relevant command structures are explained on a need-to-know basis as the recipes are developed. This new problem-solving guide can serve in the classroom or for self-study, for reference, or as a text for an on-line course.
Additional text
"[The authors’] purpose is not simply to rehash…classical topics, but rather to show how a computer algebra system (CAS) may be used as a pedagogical tool to carry out both standard numerical computations and complicated symbolic manipulations in the context of classical mechanics.… Other interesting features of the book include the use of a relevant quotation at the beginning of each section and the creation of story problems to introduce and illustrate virtually every topic, making the book more readable and accessible to students. …Recommended."
—Choice
". . . it can be a very useful complementary tool to classical lectures in the field of classical mechanics. Using this text as a unique basis for a course in classical mechanics is possible . . ."
—Mathematical Reviews
"This is a textbook discussing the use of computer algebra for computations in elementary classical mechanics. It is based on the system Maple 8; no prior knowledge of it is required. . . . The book gives a solid introduction into the basic use of Maple. . . . The book should serve well as an exercise or lab book accompanying a standard course on elementary classical mechanics."
—Zentralblatt Math
Report
"[The authors'] purpose is not simply to rehash...classical topics, but rather to show how a computer algebra system (CAS) may be used as a pedagogical tool to carry out both standard numerical computations and complicated symbolic manipulations in the context of classical mechanics.... Other interesting features of the book include the use of a relevant quotation at the beginning of each section and the creation of story problems to introduce and illustrate virtually every topic, making the book more readable and accessible to students. ...Recommended."
-Choice
". . . it can be a very useful complementary tool to classical lectures in the field of classical mechanics. Using this text as a unique basis for a course in classical mechanics is possible . . ."
-Mathematical Reviews
"This is a textbook discussing the use of computer algebra for computations in elementary classical mechanics. It is based on the system Maple 8; no prior knowledge of it is required. . . . The book gives a solid introduction into the basic use of Maple. . . . The book should serve well as an exercise or lab book accompanying a standard course on elementary classical mechanics."
-Zentralblatt Math