Functional Analysis: An Elementary Introduction
- ISBN-10
- 0821891715
- ISBN-13
- 9780821891711
- Series
- Functional Analysis
- Category
- Mathematics
- Pages
- 372
- Language
- English
- Published
- 2014-09-17
- Publisher
- American Mathematical Society
- Author
- Markus Haase
Description
This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. It focuses on concepts and methods relevant in applied contexts such as variational methods on Hilbert spaces, Neumann series, eigenvalue expansions for compact self-adjoint operators, weak differentiation and Sobolev spaces on intervals, and model applications to differential and integral equations. Beyond that, the final chapters on the uniform boundedness theorem, the open mapping theorem and the Hahn-Banach theorem provide a stepping-stone to more advanced texts. The exposition is clear and rigorous, featuring full and detailed proofs. Many examples illustrate the new notions and results. Each chapter concludes with a large collection of exercises, some of which are referred to in the margin of the text, tailor-made in order to guide the student digesting the new material. Optional sections and chapters supplement the mandatory parts and allow for modular teaching spanning from basic to honors track level.
Get the book
Other editions
-
- 2019-09-18
- 158 pages
- Ebook
- Academic Press
Similar books
-
Integral Geometry and Tomography: Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, Held June 24-30, 1989, with Support from the...
By Eric Grinberg, Eric Todd QuintoIn Section 2 we will deal with the “discrete” case. Let S be a locally finite tree T endowed with the natural integer-valued distance function: the ...
-
Ordinary Differential Equations and Linear Algebra: A Systems Approach
By Todd Kapitula... for in this case [yp](s)=s[yp](s), [yp](s)=s2[yp](s). As we will see in the examples, this assumption also makes it possible to deal with the initial ...
-
Cognition and Intractability: A Guide to Classical and Parameterized Complexity Analysis
By Iris van Rooij, Mark Blokpoel, Johan Kwisthoutx,y∈S δ(x,y) is maximum. u(x) + ADDITIVE SUBSET CHOICE Input: A set X = {x1 ,x2 ... F Tractability cycle Test 8.2 How (Not) to Deal with Intractability 173.
-
Mymathlab -- Standalone Access Card
By Pearson Education, David P Pearson Education, Hall H Pearson EducationSeveral versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable.
-
Mymathlab Student Acc Kit + Intro Alg Wrkshts
By Inc. Pearson EducationMymathlab Student Acc Kit + Intro Alg Wrkshts
-
Pearson Mathematics 7: H.P
By Pearson Education Australia StaffPearson Mathematics homework program for Year 7 provides tear-out sheets which correspond with student book sections, providing systematic and cumulative skills revision of basic skills and current class topics in the form of take-home ...
-
Worksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models
By Addison-WesleyWorksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models
-
Pearson Mathematics New South Wales 8 Student Book: Australian Curriculum
By Pearson Education Australia Staff, Gael McLeod, David CoffeyThe Student Book provides an easy-to-use 'nuts and bolts' book at each year level.
-
Matrix Iterative Analysis
By Richard S. Varga... partial differential equations have received a great deal of attention. For excellent bibliographical coverage, see Todd (1956), Richtmyer (1957), ...
-
Mathematical Modelling: Education, Engineering and Economics - ICTMA 12
By C Haines, P Galbraith, W BlumTodd, P. A., McKeen, .l. ... ANALYTICAL SUPPORT PROBLEM SOLVING Cognitive Perspectives on Modelling HOW DO STUDENTS AND TEACHERS DEAL Sodhi and Son 219 NOTE ...