|
Sheldon Axler - Measure, Integration & Real Analysis
This textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, it lays the foundations for further study by promoting a deep understanding of key results. Content is careful . . . READ MORE
|
|
|
Interactive Real Analysis by Bert Wachsmuth
Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. It deals with sets, sequences, series, continuity, differentiability, integrability (Riemann and Lebesgue), topology, power seri . . . READ MORE
|
|
|
Introduction to Real Analysis William Trench
Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The real number system. Differential calculus of function . . . READ MORE
|
|
|
A Primer of Real Analysis by Dan Sloughter
This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus cours . . . READ MORE
|
|
|
Basic Real Analysis by Anthony W. Knapp
This is a comprehensive treatment with a global view of the Real Analysis, emphasizing the connections between real analysis and other branches of mathematics. Included throughout are many examples and hundreds of problems, and a separate 55-page sec . . . READ MORE
|
|
|
A Story of Real Analysis by Eugene Boman
This book is an introductory real analysis textbook, presented through the lens of history. That is, it proposes that an effective way to motivate the highly non-intuitive definitions and theorems encountered in an introductory, college level This bo . . . READ MORE
|
|
|
Elementary Real Analysis Brian Thomson
This book is written in a rigorous, yet reader friendly style with motivational and historical material that emphasizes the 'big picture' and makes proofs seem natural rather than mysterious. Introduces key concepts such as point set theory, uniform . . . READ MORE
|
|
|
Introduction to Measure Theory Terrence Tao
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis.
The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in tu . . . READ MORE
|
|
|
An Introduction to Real Analysis by John K. Hunter
These are few notes on introductory real analysis that cover the properties of the real numbers, sequences and series of real numbers, limits of functions, continuity, differentiability, sequences and series of functions, and Riemann integration. It . . . READ MORE
|
|
|
Differential Calculus by Pierre Schapira
These Notes is provide a short and self-contained presentation of the main concepts of differential calculus. It work in the abstract setting of a real normed space, and when necessary to specialize to the case of a finite dimensional space endowed w . . . READ MORE
|
|
|
Real Analysis for Graduate Students - Richard F. Bass
This book is a course on real analysis (measure and integration theory plus additional topics) designed for beginning graduate students. Its focus is on helping the student pass a preliminary or qualifying examination in real analysis for the Ph.D. d . . . READ MORE
|
|
|
Real Analysis by A. M. Bruckner, B. S. Thomson
This book provides an introductory chapter containing background material as well as a mini-overview of much of the course, making the book accessible to readers with varied backgrounds. It uses a wealth of examples to introduce topics and to illustr . . . READ MORE
|
|
|
Basic Analysis Introduction Real Analysis I - Lebl Jiri
This textbook is a course in undergraduate real analysis or advanced calculus. This text is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A prerequisite for the cour . . . READ MORE
|
|
|
Basic Analysis: Introduction Real Analysis II Lebl Jiri
This textbook is a course in undergraduate real analysis or advanced calculus. It contain two volumes. This text is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A p . . . READ MORE
|
|
|
Analysis Tools with Applications by Bruce K. Driver
These are lecture notes are about Real analysis and Partial Differential Equations. . . . READ MORE
|
|
|
Set Theoretic Real Analysis by Krzysztof Ciesielski
The study of real functions has played a fundamental role in the development of mathematics over the last three centuries. This article is a survey of the recent results that concern real functions (from Rn into R) and whose solutions or statements . . . READ MORE
|
|