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عبدالجبار لشكري قال:
Basic Operator Theory


Product Details

Hardcover: 285 pages
Publisher: Birkhauser
(March 1981)
Language: English
ISBN-10: 3764330287
ISBN-13: 978-3764330286
TABLE OF CONTENTS
INTRODUCTION xi ​

CHAPTER I. HILBERT SPACES 1
1. Complex n-space 1
2. The Hilbert space I2 3
3. Definition of Hilbert space and its elementary properties 5
4. Distance from a point to a finite dimensional subspace 10
5. The Gram determinant 12
6. Incompatible systems of equations 16
7. Least squares fit 17
8. Distance to a convex set and projections onto subspaces 19
9. Orthonormal systems 21
10. Legendre polynomials 22
11. Orthonormal Bases 25
12. Fourier series 28
13. Completeness of the Legendre polynomials 30
14. Bases for the Hilbert space of functions on a square 31
15. Stability of orthonormal bases 33
16. Separable spaces 34
17. Equivalence of Hilbert spaces 36
18. Example of a non separable space 37
EXERCISES I 38 ​

CHAPTER II. BOUNDED LINEAR OPERATORS ON HILBERT SPACES 51
1. Properties of bounded linear operators 51
2. Examples of bounded linear operators with estimates of norms 53
3. Continuity of a linear operator 57
4. Matrix representations of bounded linear operators 58
5. Bounded linear functionals 60
6. Operators of finite rank 63
7. Invertible operators 65
8. Inversion of operators by the iterative method 70
9. Infinite systems of linear equations 72
10. Integral equations of the second kind 74
11. Adjoint operators 77
12. Self adjoint operators 80
13. Orthogonal projections 82
14. Compact operators 83
15. Invariant subspaces 88
EXERCISES II 91 ​

CHAPTER III, SPECTRAL THEORY OF COMPACT SELF ADJOINT OPERATORS 105
1. Example of an infinite dimensional generalization 106
2. The problem of existence of eigenvalues and eigenvectors 106
3. Eigenvalues and eigenvectors of operators of finite rank 108
4. Theorem of existence of eigenvalues 110
5. Spectral theorem 113
6. Basic systems of eigenvalues and eigenvectors 115
7. Second form of the spectral theorem 118
8. Formula for the inverse operator 119
9. Minimum-Maximum properties of eigenvalues 121
EXERCISES III 125 ​

CHAPTER IV. SPECTRAL THEORY OF INTEGRAL OPERATORS 131
1. Hilbert-Schmidt theorem 131
2. Preliminaries for Mercer's theorem 134
3 . Mercer's theorem 136
4. Trace formula for integral operators 138
5. Integral operators as inverses of differential operators 139
6. Sturm-Liouville systems 142
EXERCISES IV 148 ​

CHAPTER V. OSCILLATIONS OF AN ELASTIC STRING 153
1. The displacement function 153
2. Basic harmonic oscillations 155
3. Harmonic oscillations with an external force . 157 ​

CHAPTER VI. OPERATIONAL CALCULUS WITH APPLICATIONS 159
1. Functions of a compact self adjoint operator 159
2. Differential equations in Hilbert space 165
3. Infinite systems of differential equations ... 167
4. Integro-differential equations 168
EXERCISES VI 170 ​

CHAPTER VII. SOLVING LINEAR EQUATIONS BY ITERATIVE METHODS 73
1. The ma in theorem 173
2. Preliminaries for the proof 174
3. Proof of the main theorem 177
4. Application to integral equations 179 ​

CHAPTER VIII. FURTHER DEVELOPMENTS OF THE SPECTRAL THEOREM 181
1. Simultaneous diagonalization 181
2. Compact normal operators 182
3. Unitary operators 184
4. Characterizations of compact operators 187
EXERCISES VIII 189 ​

CHAPTER IX. BANACH SPACES 193
1. Definitions and examples 194
2. Finite dimensional normed linear spaces 196
3. Separable Banach spaces and Schauder bases 200
4. Conjugate spaces 201
5. Hahn-Banach theorem 203
EXERCISES IX 206 ​

CHAPTER X. LINEAR OPERATORS ON A BANACH SPACE 211
1. Description of bounded operators 211
2. An approximation scheme 214
3. Closed linear operators 219
4. Closed graph theorem and its applications 221
5. Complemented subspaces and projections 224
6. The spectrum of an operator 226
7. Volterra Integral Operator 229
8. Analytic operator valued functions 231
EXERCISES X 232 ​

CHAPTER XI. COMPACT OPERATORS ON A BANACH SPACES 237
1. Examples of compact operators 237
2. Decomposition of operators of finite rank 240
3. Approximation by operators of finite rank 241
H. Fredholm theory of compact operators 242
5. Conjugate operators on a Banach space 245
6. Spectrum of a compact operator 248
7. Applications 251
EXERCISES XI 253 ​

CHAPTER XII. NON LINEAR OPERATORS 255
1. Fixed point theorem 255
2. Applications of the contraction mapping theorem 256
3. Generalizations 261 ​

APPENDIX 1. COUNTABLE SETS AND SEPARABLE HILBERT SPACES 265
APPENDIX 2. LEBES6UE INTEGRATION AND Lp SPACES 267
APPENDIX 3. PROOF OF THE HAHN-BANACH THEOREM 273
APPENDIX 4. PROOF OF THE CLOSED GRAPH THEOREM 277 ​

SUGGESTED READING 280
REFERENCES 281
INDEX 282
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bonjour j'ai des problemes atrouver ces articles please aider moi
R. R. Akhmerov, M. I. Kamenskij, A. S. Potapov, A. E. Rodkina, B. N. Sadovskij,​
​
Measures
of Noncompactness and Condensing Operators [in Russian], Nauka, Novosibirsk 1986; Engl. transl.: Birkhauser, Basel, 1990


​
M. A. Krasnosel’skij, E. A. Lifshits, A. V. Sobolev,​
​
Positive Linear Systems [in Russian],Nauka, Moscow 1985; Engl. transl.:
Heldermann, Berlin, 1989

​
B. N. Sadovskij,​
​
Limit-compact and condensing operators [in Russian], Uspekhi Mat.​

Nauk, 27 (1972), 81-146; Engl. transl.: Russian Math. Surveys, 27 (1972), 85-155
 


السلام عليكم ورحمة الله
أبحث عن كتاب في الجبر - ولكم جزيل الشكر
Triangular Norms (TRENDS IN LOGIC Volume 8)

(Trends in Logic) (Hardcover
 


zola قال:
salut
je veux le livre
Deimling,K. Ordinary differential equations in Banach space. Springer 1977
merci d'avance
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Ordinary differential equations in Banach spaces
By Klaus Deimling




  • Publisher:
  • Number Of Pages: 137
  • Publication Date: 1977
  • ISBN-10 / ASIN: 3540082603
  • ISBN-13 / EAN: 9783540082606
  • Binding: Unknown Binding

password: twilightzone

 


dedoda قال:
Calculus: Early Transcendentals Stewart's Calculus Series






by James Stewart


Product Details
Hardcover: 1336 pages
Publisher: Brooks Cole; 6 edition
Language: English
ISBN-10: 0495011665
ISBN-13: 978-0495011668
Product Dimensions: 10.1 x 8.7 x 1.6 inches


BOOK



​
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Calculus: Early Transcendentals

5 edition

by James Stewart

15292.imgcache.jpg

Product Description
This edition of James Stewart's best-selling calculus book has been revised with the consistent dedication to excellence that has characterized all his books. Stewart's Calculus is successful throughout the world because he explains the material in a way that makes sense to a wide variety of readers. His explanations make ideas come alive, and his problems challenge, to reveal the beauty of calculus. Stewart's examples stand out because they are not just models for problem solving or a means of demonstrating techniques--they also encourage readers to develp an analytic view of the subject. This edition includes new problems, examples, and projects. This version of Stewart's book introduced exponential and logarithmic functions in the first chapter and their limits and derivatives are found in Chapters 2 and 3.


Product Details

Hardcover: 1320 pages
Publisher: Brooks Cole; 5 edition
(December 24, 2002)
Language: English
ISBN-10: 0534393217
ISBN-13: 978-0534393212
Product Dimensions: 10.2 x 8.7 x 1.8 inches
Shipping Weight: 6 pounds


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(20.01 MB)
.................................................................................................................................
Student Solutions Manual for Stewarts Calculus
5 Edition

by James Stewart



Publisher: Thomson Brooks/Cole
Number Of Pages:
Publication Date: 1999-06
ISBN-10 / ASIN: 0534218024
ISBN-13 / EAN: 9780534218027
Binding: Paperback

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Djvu RAR
7.36 MB
.....................................................................................................

Calculus: Early Transcendentals

(Stewart's Calculus Series)

6th Edition

by James Stewart

Product Description
Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With CALCULUS: EARLY TRANCENDENTALS, Sixth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course!

Product Details

Hardcover: 1336 pages
Publisher: Brooks Cole; 6 edition
(June 7, 2007)
Language: English
ISBN-10: 0495011665
ISBN-13: 978-0495011668
Product Dimensions: 10.1 x 8.7 x 1.6 inches
Shipping Weight: 5.2 pounds

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PDF​
 


Omar_Absi قال:
Ordinary differential equations in Banach spaces

By Klaus Deimling​




  • Publisher:
  • Number Of Pages: 137
  • Publication Date: 1977
  • ISBN-10 / ASIN: 3540082603
  • ISBN-13 / EAN: 9783540082606
  • Binding: Unknown Binding
password: twilightzone​


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sarajwaid قال:
السلام عليكم ورحمة الله
أبحث عن كتاب في الجبر - ولكم جزيل الشكر
Triangular Norms (TRENDS IN LOGIC Volume 8)

(Trends in Logic) (Hardcover
أنقر للتوسيع...
Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms

by Erich Peter Klement (Editor), Radko Mesiar

15294.imgcache.jpg

Product Description
This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts provide a state of the art overview of theory and applications of triangular norms and related operators in fuzzy logic, measure theory, probability theory, and probabilistic metric spaces.

Key Features:

- Complete state of the art of the importance of triangular norms in various mathematical fields
- 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications
- Chapter authors are leading authorities in their fields
- Triangular norms on different domains (including discrete, partially ordered) are described
- Not only triangular norms but also related operators (aggregation operators, copulas) are covered
- Book contains many enlightening illustrations

· Complete state of the art of the importance of triangular norms in various mathematical fields
· 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications
· Chapter authors are leading authorities in their fields
· Triangular norms on different domains (including discrete, partially ordered) are described
· Not only triangular norms but also related operators (aggregation operators, copulas) are covered
· Book contains many enlightening illustrations

Product Details


Hardcover: 492 pages

Publisher: Elsevier Science
(May 20, 2005)
Language: English
ISBN-10: 0444518142
ISBN-13: 978-0444518149
Product Dimensions: 9.5 x 6.4 x 1 inches ​

Shipping Weight: 2.3 pounds



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ibrfaws قال:
هذا الملف يحتاج الى باسوورد لكي يفك الضغط , ارجو تزويدي بكلمة المرور واضافة كتب اخرى عن نفس الموضوع ان امكن وشكرا
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Direct link from attached file with out password​
 

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