Transcription of Introduction to Methods of Applied Mathematics
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Introduction to Methods of Applied Mathematics
Introduction to Methods of Applied MathematicsorAdvanced Mathematical Methods for Scientists and EngineersSean MauchApril 26, 2001 Contents1 Anti-Copyright222 Advice to Teachers.. Acknowledgments.. Warnings and Disclaimers.. Suggested Use.. About the Title..25I Algebra13 Sets and Sets.. Single Valued Functions.. Inverses and Multi-Valued Functions.. Transforming Equations..94 Vectors.. and Vectors.. Kronecker Delta and Einstein Summation Convention.. Dot and Cross Product.. Sets of Vectors in n Dimensions.. Exercises.. Hints.. Solutions..29II Calculus365 Differential Limits of Functions.. Continuous Functions.. The Derivative.. Implicit Differentiation.. Maxima and Minima.. Mean Value Theorems.. : Using Taylor s Theorem to Approximate .. : Finite Difference Schemes.. L Hospital s Rule.
Introduction to Methods of Applied Mathematics or Advanced Mathematical Methods for Scientists and Engineers Sean Mauch April 26, 2001
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