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Working Analysis Jeffery Cooper (University of Maryland, U.S.A.)

Working Analysis By Jeffery Cooper (University of Maryland, U.S.A.)

Working Analysis by Jeffery Cooper (University of Maryland, U.S.A.)

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Summary

Suitable for a two semester course in advanced calculus, this work develops the basic ideas of calculus with an eye to showing how mathematics connects with other areas of science and engineering. It includes a range of examples and exercises drawn from mechanics, biology, chemical engineering and economics.

Working Analysis Summary

Working Analysis by Jeffery Cooper (University of Maryland, U.S.A.)

Working Analysis is for a two semester course in advanced calculus. It develops the basic ideas of calculus rigorously but with an eye to showing how mathematics connects with other areas of science and engineering. In particular, effective numerical computation is developed as an important aspect of mathematical analysis.

Working Analysis Reviews

This is a solid, well-written advanced calculus book that deserves to be on the shelves of mathematics department offices when faculty are selecting course resources. --J. Feroe, Vassar College, in CHOICE, JUNE 2005 In my opinion the book by Cooper is a viable competitor to Strichartz...To summarize, this textbook is based on a very healthy philosophy that it is easier to learn mathematical analysis when it is intertwined with meaningful applications. The book is fun to read and, I am sure, will be fun to learn from. --Victor Roytburd, Rensselaer Polytechnic Institute, in SIAM REVIEW

Table of Contents

Preface Part I: 1. Foundations 2. Sequences of Real Numbers 3. Continuity 4. The Derivative 5. Higher Derivatives and Polynomial Approximation 6. Solving Equations in One Dimension 7. Integration 8. Series Appendix I Part II: 9. Convergence and Continuity in Rn 10. The Derivative in Rn 11. Solving Systems of Equations 12. Quadratic Approximation and Optimization 13. Constrained Optimization 14. Integration in Rn 15. Applications of Integration to Differential Equations Appendix II Solutions to Selected Exercises References Index

Additional information

NPB9780121876043
9780121876043
0121876047
Working Analysis by Jeffery Cooper (University of Maryland, U.S.A.)
Jeffery Cooper (University of Maryland, U.S.A.)
New
Hardback
Elsevier Science Publishing Co Inc
2004-10-13
688
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Working Analysis