Introduction to Analysis (3rd Edition)

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9780131453333: Introduction to Analysis (3rd Edition)

Offering readability, practicality and flexibility, Wade presents Fundamental Theorems from a practical viewpoint. Introduces central ideas of analysis in a one-dimensional setting, then covers multidimensional theory. Offers separate coverage of topology and analysis. Numbers theorems, definitions and remarks consecutively. Uniform writing style and notation. Practical focus on analysis. For those interested in learning more about analysis.

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From the Publisher:

Designed as a "bridge" between sophomore-level calculus to graduate-level courses that use analytic ideas, this text provides an unusually friendly, but rigorous treatment. It is friendly because the text helps link proofs together in a way that teaches students to think ahead: "Why this Theorem?"

From the Back Cover:

>>>>

This text prepares readers for fluency with analytic ideas, such as real and complex analysis, partial and ordinary differential equations, numerical analysis, fluid mechanics, and differential geometry. This book is designed to challenge advanced readers while encouraging and helping readers with weaker skills. Offering readability, practicality and flexibility, Wade presents fundamental theorems and ideas from a practical viewpoint, showing readers the motivation behind the mathematics and enabling them to construct their own proofs.

 

ONE-DIMENSIONAL THEORY; The Real Number System; Sequences inR; Continuity onR; Differentiability onR;Integrability onR;Infinite Series of Real Numbers; Infinite Series of Functions; MULTIDIMENSIONAL THEORY; Euclidean Spaces; Convergence inRn;Metric Spaces; Differentiability onRn;Integration onRn;Fundamental Theorems of Vector Calculus; Fourier Series

 

For all readers interested in analysis. ]]>

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