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Wednesday, November 15, 2006

שתף אותנו בקישורים לספרים וסיכומי הרצאות שמצאת ברשת


אתר זה מציע קישורים לספרי לימוד, סיכומי הרצאות וטקסטים ללא תשלום בתחומי המתימטיקה
הנמצאים ברשת האינטרנט
תוכל לספר לנו על קישורים נוספים שמצאת באמצעות ההערות שבסוף ההודעה הנוכחית, הקלד את כתובת האינטרנט של הספר ואם תרצה תוכל להוסיף פרטים כמו: שם הספר, שם המחבר ואת הערותיך לתוכן הספר

Tuesday, November 14, 2006

MathWorld

MathWorld


MathWorldTM is the web's most complete mathematical resource, assembled over more than a decade by internet encyclopedist Eric W. Weisstein with assistance from the mathematics and internet communities.

MathWorld is a comprehensive and interactive mathematics encyclopedia intended for students, educators, math enthusiasts, and researchers. Like the vibrant and constantly evolving discipline of mathematics, this site is continuously updated to include new material and incorporate new discoveries.

Although it is often difficult to find explanations for technical subjects that are both clear and accessible, this website bridges the gap by placing an interlinked framework of mathematical exposition and illustrative examples at the fingertips of every internet user.

LiveGraphics3D Applets

Thursday, November 18, 2004

On the Shoulders of Giants: New Approaches to Numeracy (1990)


On the Shoulders of Giants: New Approaches to Numeracy (1990)

Front Matter i-viii
Pattern 1-10 (skim)
Dimension 11-60 (skim)
Quantity 61-94 (skim)
Uncertainty 95-138 (skim)
Shape 139-182 (skim)
Change 183-218 (skim)
Biographies 219-222 (skim)
Index 223-232 (skim)

Tuesday, November 16, 2004

The Elements of Non-Euclidean Geometry

The Elements of Non-Euclidean Geometry

Table of Contents
Prelude: Gauss mappings of plane curves
Gauss mappings of surfaces
Example 1: The shoe surface
Example 2: Menn's surface
Example 3a: The perturbed monkey saddle
Example 3b: The handkerchief surface
Example 4: Surfaces of revolution
Example 5: Canal surfaces
Characterizations of Gaussian cusps
Part 1
Part 2
Part 3
Singularities of families of mappings
Projections to lines
Focal and parallel surfaces
Projections to planes
Singularities and extrinsic geometry
References
Movies

Gauss: Disquisitiones

Gauss: Disquisitiones



Preface
Table of Contents
Prelude: Gauss mappings of plane curves
Gauss mappings of surfaces
Example 1: The shoe surface
Example 2: Menn's surface
Example 3a: The perturbed monkey saddle
Example 3b: The handkerchief surface
Example 4: Surfaces of revolution
Example 5: Canal surfaces
Characterizations of Gaussian cusps
Part 1
Part 2
Part 3
Singularities of families of mappings
Projections to lines
Focal and parallel surfaces
Projections to planes
Singularities and extrinsic geometry
References
Movies

Elements of Geometry and Trigonometry

The Cornell Library Historical Mathematics Monographs

An Elementary Treatise on Pure Geometry

An Elementary Treatise on Pure Geometry with Numerous Examples

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs


The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

Pravin Varaiya's Home Page

Pravin Varaiya's Home Page


Functions of Complex Variable

Functions of Complex Variable


The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics MonographsBR>

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

Toeplitz and Circulant Matrices

Toeplitz and Circulant Matrices
Toeplitz and Circulant Matices: A Review, by R. M. Gray. A very old (1971, revised 1977, 1993, 1997, 1998, 2000, 2001, 2002.) but still occasionally useful tutorial on Toeplitz and circulant matrices. The file is in Adobe portable document format (pdf). Free readers can be downloaded from Adobe.

Wolfram Research, Inc.

Wolfram Research, Inc.

Table of Contents
What Is Mathematica?About This BookAcknowledgmentsTour
Part 1. A Practical Introduction to Mathematica1.0 Running Mathematica1.1 Numerical Calculations1.2 Building Up Calculations1.3 Using the Mathematica System1.4 Algebraic Calculations1.5 Symbolic Mathematics1.6 Numerical Mathematics1.7 Functions and Programs1.8 Lists1.9 Graphics and Sound1.10 Files and External Operations
Part 2. Principles of Mathematica2.1 Expressions2.2 Functional Operations2.3 Patterns2.4 Transformation Rules and Definitions2.5 Evaluation of Expressions2.6 Modularity and the Naming of Things2.7 Textual Output2.8 Strings, Names and Messages2.9 The Structure of Graphics and Sound2.10 Input and Output2.11 Global Aspects of Mathematica Sessions
Part 3. Advanced Mathematics in Mathematica3.1 Numbers3.2 Mathematical Functions3.3 Algebraic Manipulation3.4 Manipulating Equations3.5 Calculus3.6 Power Series, Limits and Residues3.7 Linear Algebra3.8 Numerical Operations on Data3.9 Numerical Operations on Functions
Appendix. Mathematica Reference GuideA.1 Basic ObjectsA.2 Input SyntaxA.3 Some General Notations and ConventionsA.4 EvaluationA.5 Patterns and Transformation RulesA.6 Input and OutputA.7 Mathematica Sessions and Global ObjectsA.8 Listing of Built-in Mathematica Objects

Monday, November 15, 2004

Differential and Integral Calculus

The Cornell Library Historical Mathematics Monographs Differential and Integral Calculus

The Cornell Library Historical Mathematics Monographs

The Cornell Library Historical Mathematics Monographs

Preface
Acknowledgements
1 XML for Data
2 XML Protocols
3 Writing XML with Java
4 Converting Flat Files to XML
5 Reading XML
6 SAX
7 The XMLReader Interface
8 SAX Filters
9 The Document Object Model
10 Creating New XML Documents with DOM
11 The Document Object Model Core
12 The DOM Traversal Module
13 Output from DOM
14 JDOM
15 The JDOM Model
16 XPath
17 XSLT
A XML APIs Quick Reference
B SOAP Schemas
Recommended Reading
Examples
I've extracted out all the

Sunday, November 14, 2004

Graph Theory - Reinhard Diestel


Graph Theory


1. The Basics
1.1 Graphs ....................................... 2
1.2 The degree of a vertex ....................... 4
1.3 Paths and cycles ............................. 6
1.4 Connectivity ................................. 9
1.5 Trees and forests ............................ 12
1.6 Bipartite graphs ............................. 14
1.7 Contraction and minors ....................... 16
1.8 Euler tours .................................. 18
1.9 Some linear algebra .......................... 20
1.10 Other notions of graphs ...................... 25
Exercises .................................... 26
Notes ........................................ 28
2. Matching
2.1 Matching in bipartite graphs ................. 29
2.2 Matching in general graphs ................... 34
2.3 Path covers .................................. 39
Exercises .................................... 40
Notes ........................................ 42
3. Connectivity
3.1 2-Connected graphs and subgraphs ............. 43
3.2 The structure of 3-connected graphs........... 45
3.3 Menger's theorem ............................. 50
3.4 Mader's theorem .............................. 56
3.5 Edge-disjoint spanning trees ................. 58
3.6 Paths between given pairs of vertices ........ 61
Exercises .................................... 63
Notes ........................................ 65
4. Planar Graphs
4.1 Topological prerequisites .................... 68
4.2 Plane graphs ................................. 70
4.3 Drawings ..................................... 76
4.4 Planar graphs: Kuratowski's theorem .......... 80
4.5 Algebraic planarity criteria ................. 85
4.6 Plane duality ................................ 87
Exercises .................................... 89
Notes ........................................ 92
5. Colouring
5.1 Colouring maps and planar graphs ............. 96
5.2 Colouring vertices ........................... 98
5.3 Colouring edges .............................. 103
5.4 List colouring ............................... 105
5.5 Perfect graphs ............................... 110
Exercises .................................... 117
Notes ........................................ 120
6. Flows
6.1 Circulations ................................. 124
6.2 Flows in networks ............................ 125
6.3 Group-valued flows ........................... 128
6.4 k-Flows for small k .......................... 133
6.5 Flow-colouring duality ....................... 136
6.6 Tutte's flow conjectures ..................... 140
Exercises .................................... 144
Notes ........................................ 145
7. Substructures in Dense Graphs
7.1 Subgraphs .................................... 148
7.2 Szemerédi's regularity lemma ................. 153
7.3 Applying the regularity lemma ................ 160
Exercises .................................... 165
Notes ........................................ 166
8. Substructures in Sparse Graphs
8.1 Topological minors ........................... 170
8.2 Minors ....................................... 179
8.3 Hadwiger's conjecture ........................ 181
Exercises .................................... 184
Notes ........................................ 186
9. Ramsey Theory for Graphs
9.1 Ramsey's original theorems ................... 190
9.2 Ramsey numbers ............................... 193
9.3 Induced Ramsey theorems ...................... 197
9.4 Ramsey properties and connectivity ........... 207
Exercises .................................... 208
Notes ........................................ 210
10. Hamilton Cycles
10.1 Simple sufficient conditions ................. 213
10.2 Hamilton cycles and degree sequence .......... 216
10.3 Hamilton cycles in the square of a graph ..... 218
Exercises .................................... 226
Notes ........................................ 227
11. Random Graphs
11.1 The notion of a random graph ................. 230
11.2 The probabilistic method ..................... 235
11.3 Properties of almost all graphs .............. 238
11.4 Threshold functions and second moments ....... 242
Exercises .................................... 247
Notes ........................................ 249
12. Minors, Trees, and WQO
12.1 Well-quasi-ordering .......................... 251
12.2 The minor theorem for trees .................. 253
12.3 Tree-decompositions .......................... 255
12.4 Tree-width and forbidden minors .............. 263
12.5 The graph minor theorem ......................

Wednesday, November 10, 2004

3F3 - Random Processes, Optimal Filtering and Model-based Signal



[PDF] 3F3 - Random Processes, Optimal Filtering and Model-based Signal
PDF/Adobe Acrobat - View as HTMLPage 1. 3F3 - Random Processes, Optimal Filtering and Model-based SignalProcessing SJ Godsill February 25, 2004 Page 2. 3F3 - Random ... www-sigproc.eng.cam.ac.uk/~sjg/teaching/3f3/lecture.pdf

Short course on Ttrigonometry and Complex Numbers


David Joyce's Home Page


Euclid's Elements
Compass geometry
a short course on trigonometry
a short course on complex numbers
History of Mathematics, Hilbert's address of 1900 and his 23 mathematical problems