Measure, Integration & Real Analysis by Sheldon Axler
This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis.-
Algebraic Geometry
-
Introduction to Riemannian Manifolds
-
Algebra
-
Brownian Motion and Stochastic Calculus
-
Applications of Lie Groups to Differential Equations
-
The Arithmetic of Elliptic Curves
-
Advanced Linear Algebra
-
Groups and Representations
-
Modular Functions and Dirichlet Series in Number Theory
-
Categories for the Working Mathematician
-
Quaternion Algebras
-
Differential Forms in Algebraic Topology
-
Complex Analysis
-
Modern Graph Theory
-
Problems in Analytic Number Theory
-
Representation Theory
-
Fermat's Last Theorem
-
Holomorphic Functions and Integral Representations in Several Complex Variables
-
Elements of Homotopy Theory
-
Graph Theory
-
Probability Theory I
-
Algebraic Number Theory
-
Topology and Geometry
-
Foundations of Differentiable Manifolds and Lie Groups
-
Abstract Algebra
-
Introduction to Topological Manifolds
-
Linear Representations of Finite Groups
-
A Classical Introduction to Modern Number Theory
-
Introduction to Smooth Manifolds
-
Brownian Motion, Martingales, and Stochastic Calculus
-
Lie Groups, Lie Algebras, and Representations
-
Functions of One Complex Variable I
-
A First Course in Modular Forms
-
Commutative Algebra
“This textbook is addressed to students with a good background in undergraduate real analysisStudents are encouraged to actively study the theory by working on the exercises that are found at the end of each section. Definitions and theorems are printed in yellow and blue boxes, respectively, giving a clear visual aid of the content.” (Marta Tyran-Kamińska, Mathematical Reviews, May, 2021)
“The book will become an invaluable reference for graduate students and instructors. Those interested in measure theory and real analysis will find the monograph very useful since the book emphasizes getting the students to work with the main ideas rather than on proving all possible results and it contains a rather interesting selection of topics which makes the book a nice presentation for students and instructors as well.” (Oscar Blasco, zbMATH 1435.28001, 2020)
Sheldon Axler is Professor of Mathematics at San Francisco State University. He has won teaching awards at MIT and Michigan State University. His career achievements include the Mathematical Association of America’s Lester R. Ford Award for expository writing, election as Fellow of the American Mathematical Society, over a decade as Dean of the College of Science & Engineering at San Francisco State University, member of the Council of the American Mathematical Society, member of the Board of Trustees of the Mathematical Sciences Research Institute, and Editor-in-Chief of the Mathematical Intelligencer. His previous publications include the widely used textbook Linear Algebra Done Right.
| SKU | Unavailable |
| ISBN 13 | 9783030331429 |
| ISBN 10 | 3030331423 |
| Title | Measure, Integration & Real Analysis |
| Author | Sheldon Axler |
| Series | Graduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2019-12-24 |
| Number of pages | 411 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |