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Analysis

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Mathematics -> ... -> Calculus

Advanced Analysis[1] Calculus of variations[1] Complex Analysis[8]
Differential Equations[16] Fourier Analysis[4] Functional Analysis[18]
Harmonic Analysis[2] Numerical Analysis[20] PDE[21]
Special Functions[2] Tensor Analysis[3]

ELEMENTARY REAL ANALYSIS
Author: Thomson, Bruckner  Language:
ELEMENTARY REAL ANALYSIS This is the second edition of the text Elementary Real Analysis originally published by Prentice Hall (Pearson) in 2001. Chapter 1. Real Numbers Chapter 2. Sequences Chapter 3. Infinite sums Chapter 4 . . . . .
Introduction to real analysis
Author: William Trench  Language:
Introduction to real analysis This book was previously published by Pearson Education. This free edition is made available in the hope that it will be useful as a textbook or reference. Reproduction is permitted for any valid no . . . . .
Analytic functions
Author: Stanisław Saks, Antoni Zygmund  Language:
Contents: THEORY OF SETS; FUNCTIONS OF A COMPLEX VARIABLE; HOLOMORPHIC FUNCTIONS; MEROMORPHIC FUNCTIONS; ELEMENTARY GEOMETRICAL METHODS OF THE THEORY OF FUNCTIONS; CONFORMAL TRANSFORMATIONS; ANALYTIC . . . . .
Mathematical Analysis II
Author: Elias Zakon  Language:
Mathematical Analysis II This final text in the Zakon Series on Mathematics Analysis follows the release of the author's Basic Concepts of Mathematics and Mathematical Analysis I and completes the material on Real Analysis . . . . .
Theory of Functions of real variable
Author: Shlomo Sternberg  Language:
Contents: The topology of metric spaces; Hilbert Spaces and Compact operators; The Fourier Transform; Measure theory; The Lebesgue integra; The Daniell integral; Wiener measure, Brownian motion and . . . . .
Mathematical Analysis I
Author: Elias Zakon  Language:
Mathematical Analysis I This text covers the basic topics of undergraduate real analysis including metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series . . . . .
Constructive Real Numbers and Constructive Function Spaces
Author: N. A. Sanin  Language:
Constructive Real Numbers and Constructive Function Spaces Contents: Introduction I. Constructive real numbers II. Constructive metric and normed spaces III. Some concrete constructive spaces.
Lectures on Entire Functions
Author: by B.Ya. Levin  Language:
Lectures on Entire Functions Contents: Part I. Entire Functions of Finite Order; Part II. Entire Functions of Exponential Type; Part III. Some Additional Problems of the Theory of Entire Functions.
Appunti di Analisi Matematica
Author: Mattia Belletti  Language:
Ottimo libro di Analisi Matematica I rilasciato su (GNU Free Document License) tratta di:serie, integrali, succensioni, derivate, limiti ed altro.
Homeomorphisms in Analysis
Author: by Casper Goffman, Togo Nishiura, and Daniel Wat  Language:
Homeomorphisms in Analysis Contents: The One Dimensional Case; Subsets of R; Baire Class 1; Differentiability Classes; The Derivative Function; Mappings and Measures on R^n; Bi-Lipschitzian Homeomorphisms; Approximation by Ho . . . . .
Semiclassical Analysis
Author: Lawrence Craig Evans  Language:
Contents: Introduction; Symplectic geometry; Fourier transform, stationary phase; Quantization of symbols; Semiclassical defect measures; Eigenvalues and eigenfunctions; Exponential estimates for eige . . . . .
Théorie élémentaire de l intégration de Henstock-Kurzweil
Author: Jean-Pierre Demailly  Language:
Contenu: Volume 1: Un schéma de cours introductif pour la classe Terminale et le début de l\\\'Université. Volume 2: Un texte de niveau plus avancé , couvrant de manière approfondie la théorie de l\\\ . . . . .
Elements of Linear and Real Analysis
Author: Stephen Semmes  Language:
This is a kind of introduction to some basic topics in analysis, some of which would be covered in standard graduate courses, and some not.160 pages.
Lectures on The Theory of Algebraic Functions of One Variable
Author: M. Deuring  Language:
We shall be dealing in these lectures with the algebraic aspects of the theory of algebraic functions of one variable. Since an algebraic function w(z) is defined implicitly by an equation of the fo . . . . .
Nonstandard Analysis
Author: J. Ponstein  Language:
This book is concerned with an attempt to introduce the infinitesimals and the other ‘nonstandard’ numbers in a naive, simpleminded way. Nevertheless, the resulting theory is hoped to be mathematica . . . . .
Elementi della teoria delle funzioni analitiche
Author: Luciano Pandolfi  Language:
The content: basics on limits and continuous functions of one clomplex variable; curves in the complex plane and integration; derivative; Cauchy integral formula and consequences: analyticity of holom . . . . .
Analyse II
Author: Gerhard Wanner  Language:
Analyse II Contents: # CHAPITRE I. ANALYSE COMPLEXE # I.1 Fonctions Complexes # I.2 Fonctions Holomorphes # I.3 Intégrales complexes # I.4 Formule Intégrale de Cauchy # I.5 Séries entières # I.6 Unicité, . . . . .
INTÉGRATION
Author: Nicolas LERNER  Language:
Contenù: Introduction; Chapitre 1. Théorie générale de l'intégration; Chapitre 2. Construction de la mesure de Lebesgue; Chapitre 3. Espaces de fonctions intégrables; Chapitre 4. Intégration sur un pr . . . . .
Nonstandard Analysis
Author: Erland Gadde  Language:
The purpose of this text is twofold. The first purpose is to develop basic nonstandard analysis by an axiomatic ap-proach. The axiom system we use is a modified version of an axiom system in-troduced . . . . .
Analyse Réelle
Author: Isabelle Gallagher  Language:
Table de matiere: Chapitre 1 - Espaces de Banach; Chapitre 2 - Espaces L^p; Chapitre 3 - Analyse hilbertienne; Chapitre 4 - Analyse de Fourier.
Analysis II
Author: Douglas N. Arnold  Language:
Contents: Complex Analysis; Functional Analysis.
LECTURES ON LIPSCHITZ ANALYSIS
Author: JUHA HEINONEN  Language:
In these lectures, we concentrate on the theory of Lipschitz functions in Euclidean spaces. In Section 2, we study extension problems and Lipschitz retracts. In Section 3, we prove the classical dif . . . . .
Why the Boundary of a Round Drop Becomes a Curve of Order Four
Author: by A. N. Varchenko and P. I. Etingof  Language:
Why the Boundary of a Round Drop Becomes a Curve of Order Four Contents: 1. Mathematical model 2. First integrals of boundary motion 3. Algebraic solutions 4. Contraction of a gas bubble 5. Evolution of a multiply connected domain 6. Evoluti . . . . .
Nonstandard Analysis in Topology
Author: Sergio Salbany and Todor Todorov  Language:
We present Nonstandard Analysis by three axioms: the Extension, Transfer and Saturation Principles in the framework of the superstruc- ture of a given infinite set. We also present several applicati . . . . .
General Topology and Real Analysis
Author: Dr. David R. Wilkins  Language:
Contents: Sets, functions and countability; Metric spaces; Complete metric spaces, normed vector spaces, and Banach spaces; Topological spaces; Compact spaces; The extended real number system; Meas . . . . .
REAL ANALYSIS, SECOND EDITION
Author: BRUCKNER, THOMSON   Language:
REAL ANALYSIS,  SECOND EDITION This is the second edition of a graduate level real analysis textbook formerly published by Prentice Hall (Pearson) in 1997. This edition contains both volumes. Volumes one and two can also be purchas . . . . .

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