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• ## 1. Real Analysis

### by H.L. Royden

This is the classic introductory graduate text. Heart of the book is measure theory and Lebesque integration.

• ## 3. Introductory real analysis

### by A. N. Kolmogorov, S. V. Fomin

Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces ... More

• ## 5. Elements of the theory of functions and functional analysis

### by A. N. Kolmogorov, S. V. Fomin

Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, ... More

• ## 6. Calculus of Several Variables

### by Serge Lang

Covering the basic topics of the calculus of variations, this textbook provides explanations of vectors, curves, gradients, tangents, planes, ... More

• ## 7. Complex Analysis: Fundamentals of the Classical Theory of Functions

### by John Stalker

The classical theory of one complex variable is taught in universities throughout the world. The introduction is concise but by no means superficial, ... More

• ## 8. Calculus of One Variable

### by Keith Edwin Hirst

Understanding the techniques and applications of calculus is at the heart of mathematics, science and engineering. This book presents the key topics ... More

• ## 10. Stability of Functional Equations in Several Variables

### by George Isac, Donald H Hyers, Themistocles Rassias

The notion of stability of functional equations has its origins with S. M. Ulam, who posed the fundamental problem in 1940 and with D. H. Hyers, who ... More

• ## 11. Complex Variables: A Physical Approach with Applications and MATLAB

### by Steven G Krantz

From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric ... More

### by Kurt Strebel

A quadratic differential on aRiemann surface is locally represented by a ho- lomorphic function element wh ich transforms like the square of a ... More

• ## 13. Multivariable Analysis

### by Griffith B Price, Jr.

This book contains an introduction to the theory of functions, with emphasis on functions of several variables. The central topics are the ... More

• ## 14. Complex Analysis: In the Spirit of Lipman Bers

### by Irwin Kra, Rubi E Rodriguez, Jane P Gilman

Organizing the basic material of complex analysis in a unique manner, the authors of this versatile book aim is to present a precise and concise ... More

• ## 15. Lectures on the theory of elliptic functions

### by Harris Hancock

Prized for its extensive coverage of classical material, this text is also well regarded for its unusual fullness of treatment and its comprehensive ... More

• ## 16. Complex Analysis and Applications

### by Alan Jeffrey

A work on complex analysis and applications, covering complex numbers, the z-plane, integral theorems; analytic functions; conformal mapping; ... More

• ## 17. Exercises in Functional Analysis

### by Constantin Costara, D.O. Popa

This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counter-examples, and applications for the ... More

• ## 18. Complex Variables

### by Watson Fulks

This practical textbook offers solid discussions of the mathematics, clear expositions and wide selection of applications for complex variables. It ... More

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• ## 19. Real Analysis and Foundations

### by T Chris Christensen, Steven G Krantz (Editor)

Real Analysis and Foundations is an advanced undergraduate and first-year graduate textbook that introduces students to introductory topics in real ... More

• ## 20. Complex Analysis: A Functional Analysis Approach

### by D H Luecking, Lee A Rubel

The main idea of this book is to present a good portion of the standard material on functions of a complex variable, as well as some new material, ... More

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• ## 21. Almost Automorphic and Almost Periodic Functions in Abstract Spaces

### by Gaston M. N'Guerekata

Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions ... More

• ## 22. Topics in Hardy Classes and Univalent Functions

### by Marvin Rosenblum

These notes are based on lectures given at the University of Virginia over the past twenty years. They may be viewed as a course in function theory ... More

• ## 23. Convexity and Well-Posed Problems

### by Roberto Lucchetti

This book deals with the study of convex functions and of their behavior from the point of view of stability with respect to perturbations. Convex ... More

• ## 24. Handbook of Special Functions: Derivatives, Integrals, Series and Other Formulas

### by Yury A Brychkov

Because of the numerous applications involved in this field, the theory of special functions is under permanent development, especially regarding the ... More

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• ## 25. An introduction to the theory of functional equations and inequalities : Cauchy's equation and Jensen's inequality

### by Marek Kuczma

Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991. After finishing high school in his home town, he studied at the ... More

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