Students preparing for courses in real analysis often encounter either very exacting theoretical treatments or books without enough rigor to stimulate an in-depth understanding of the subject. Further complicating this, the field has not changed much over the past 150 years, prompting few authors to
Real Analysis and Foundations
โ Scribed by Steven G. Krantz
- Publisher
- Chapman and Hall / CRC
- Year
- 2016
- Tongue
- English
- Leaves
- 431
- Series
- Textbooks in Mathematics
- Edition
- 4
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
The new edition of this popular text is revised to meet the suggestions of users of the previous edition. A readable yet rigorous approach to an essential part of mathematical thinking, this text bridges the gap between classic theoretical texts and less rigorous ones, providing a smooth transition from logic and proofs to real analysis. Along with the basic material, the text covers Riemann-Stieltjes integrals, Fourier analysis, metric spaces and applications, and differential equations.
โฆ Subjects
Calculus;Pure Mathematics;Mathematics;Science & Math;Functional Analysis;Pure Mathematics;Mathematics;Science & Math;Calculus;Mathematics;Science & Mathematics;New, Used & Rental Textbooks;Specialty Boutique
๐ SIMILAR VOLUMES
Students preparing for courses in real analysis often encounter either very exacting theoretical treatments or books without enough rigor to stimulate an in-depth understanding of the subject. Further complicating this, the field has not changed much over the past 150 years, prompting few authors to
<p><span>Through four editions this popular textbook attracted a loyal readership and widespread use. Students find the book to be concise, accessible, and complete. Instructors find the book to be clear, authoritative, and dependable. </span></p><p><span>The primary goal of this new edition remains
<p><span>This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area. Focusing on the logical structure of real analysis, the definitions and interrelations between core concepts are illustrated with the use
<p>The core of this book, Chapters 3 through 5, presents a course on metric, normed,andHilbertspacesatthesenior/graduatelevel. Themotivationfor each of these chapters is the generalisation of a particular attribute of the n Euclidean spaceR : in Chapter 3, that attribute isdistance; in Chapter 4, le
The core chapters of this volume provide a complete course on metric, normed, and Hilbert spaces, and include many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format including elementary real anal