Introduction To Analysis 4Th Edition at Meripustak

Introduction To Analysis 4Th Edition

Books from same Author: WILLIAM WADE

Books from same Publisher: PEARSON INDIA

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  • General Information  
    Author(s)WILLIAM WADE
    PublisherPEARSON INDIA
    ISBN9789353432768
    Pages696
    BindingSoftbound
    LanguageEnglish
    Publish YearApril 2019

    Description

    PEARSON INDIA Introduction To Analysis 4Th Edition by WILLIAM WADE

    This text prepares students for future courses that use 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 students while encouraging and helping weaker students. Offering readability, practicality and flexibility, Wade presents fundamental theorems and ideas from a practical viewpoint, showing students the motivation behind the mathematics and enabling them to construct their own proofs. Table of Content Chapter 1. The Real Number System Chapter 2. Sequences in R Chapter 3. Continuity on R Chapter 4. Differentiability on R Chapter 5 Integrability on R Chapter 6. Infinite Series of Real Numbers Chapter 7. Infinite Series of Functions Part II. MULTIDIMENSIONAL THEORY Chapter 8. Euclidean Spaces Chapter 9. Convergence in Rn Chapter 10. Metric Spaces Chapter 11. Differentiability on Rn Chapter 12. Integration on Rn Chapter 13. Fundamental Theorems of Vector Calculus Chapter 14. Fourier Series" Salient Features 1.Flexible presentation, with uniform writing style and notation, covers the material in small sections, allowing instructors to adapt this book to their syllabus. 2.The practical focus explains assumptions so that students learn the motivation behind the mathematics and are able to construct their own proofs. 3.Early introduction of the fundamental goals of analysis Refers and examines how a limit operation interacts with algebraic operation. 4.Optional appendices and enrichment sections enables students to understand the material and allows instructors to tailor their courses. 5.An alternate chapter on metric spaces allows instructors to cover either chapter independently without mentioning the other. 6.More than 200 worked examples and 600 exercises encourage students to test comprehension of concepts, while using techniques in other contexts. 7.Separate coverage of topology and analysis presents purely computational material first, followed by topological material in alternate chapters. 8.Rigorous presentation of integers provides shorter presentations while focusing on analysis. 9.Reorganized coverage of series separates series of constants and series of functions into separate chapters. 10.Consecutive numbering of theorems, definitions and remarks allows students and instructors to find citations easily.