Author: Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 864
Book Description
Journal D'analyse Mathématique
Author: Analyse
Author: Cours D'analyse Mathématique
Author: Édouard GOURSATL'analyse Mathematique
Author: Analysis I
Author: Terence TaoPublisher: Springer
ISBN: 9811017891
Category : Mathematics
Languages : en
Pages : 366
Book Description
This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Cours D'analyse Mathematique
Author: Edouard GoursatPublisher:
ISBN:
Category : Differential equations
Languages : en
Pages :
Book Description
The Mathematical Writings of Évariste Galois
Author: Évariste GaloisPublisher: European Mathematical Society
ISBN: 9783037191040
Category : Galois theory
Languages : en
Pages : 426
Book Description
Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.
Applied Functional Analysis
Author: Jean-Pierre AubinPublisher: John Wiley & Sons
ISBN: 1118030974
Category : Mathematics
Languages : en
Pages : 520
Book Description
A novel, practical introduction to functional analysis In the twenty years since the first edition of Applied Functional Analysis was published, there has been an explosion in the number of books on functional analysis. Yet none of these offers the unique perspective of this new edition. Jean-Pierre Aubin updates his popular reference on functional analysis with new insights and recent discoveries-adding three new chapters on set-valued analysis and convex analysis, viability kernels and capture basins, and first-order partial differential equations. He presents, for the first time at an introductory level, the extension of differential calculus in the framework of both the theory of distributions and set-valued analysis, and discusses their application for studying boundary-value problems for elliptic and parabolic partial differential equations and for systems of first-order partial differential equations. To keep the presentation concise and accessible, Jean-Pierre Aubin introduces functional analysis through the simple Hilbertian structure. He seamlessly blends pure mathematics with applied areas that illustrate the theory, incorporating a broad range of examples from numerical analysis, systems theory, calculus of variations, control and optimization theory, convex and nonsmooth analysis, and more. Finally, a summary of the essential theorems as well as exercises reinforcing key concepts are provided. Applied Functional Analysis, Second Edition is an excellent and timely resource for both pure and applied mathematicians.
Topics in Mathematical Analysis
Author: Augustin Louis Baron CauchyPublisher: World Scientific
ISBN: 9789971506667
Category : Mathematics
Languages : en
Pages : 1010
Book Description
This volume aims at surveying and exposing the main ideas and principles accumulated in a number of theories of Mathematical Analysis. The underlying methodological principle is to develop a unified approach to various kinds of problems. In the papers presented, outstanding research scientists discuss the present state of the art and the broad spectrum of topics in the theory.
AN ESSAY ON THE MATHEMATICAL METHODS OF THEORY OF GENERAL RELATIVITY
Author: Edoardo ConfalonieriPublisher: Edoardo Confalonieri
ISBN:
Category :
Languages : en
Pages : 2233
Book Description
The basic concepts of a method for a general integral of the Field Equations of the Theory of General Relativity are outlined. An extended and revised version is currently in preparation, and it will be uploaded as soon as ready for publication.