Introduction to applied mathematics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Wellesley, Mass.
Wellesley-Cambridge Press
1986
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 758 S. Ill., graph. Darst. |
| ISBN: | 0961408804 |
Staff View
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| 245 | 1 | 0 | |a Introduction to applied mathematics |c Gilbert Strang |
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Record in the Search Index
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| adam_text | CONTENTS
1.
SYMMETRIC
LINEAR SYSTEMS
1.1
Introduction I
1.2
Gaussian
Elimination 4
1.3 Positive
Definite Matrices and A
=
LDLT
15
1.4
Minimum Principles
32
1.5
Eigenvalues and Dynamical Systems
47
1.6
A Review of Matrix Theory
68
2.
EQUILIBRIUM EQUATIONS
2.1
A Framework for the Applications
87
2.2
Constraints and
Lagrange
Multipliers
96
2.3
Electrical Networks
110
2.4
Structures in Equilibrium
123
2.5
Least Squares Estimation and the
Kalman
Filter I37
3.
EQUILIBRIUM IN THE CONTINUOUS CASE
3.1
Introduction: One-dimensional Problems I55
3.2
Differential Equations of Equilibrium
166
3.3
Laplace s Equation and Potential Flow
182
3.4
Vector Calculus in Three Dimensions I99
3.5
Equilibrium of Fluids and Solids
220
3.6
Calculus of Variations
242
Contents
4.
ANALYTICAL METHODS
4.1
Fourier Series and Orthogonal Expansions
263
4.2
Discrete Fourier Series and Convolution
290
4.3
Fourier Integrals
309
4.4
Complex Variables and
Conformai
Mapping
330
4.5
Complex Integration
352
5.
NUMERICAL METHODS
5.1
Linear and Nonlinear Equations
367
5.2
Orthogonalization and Eigenvalue Problems
382
5.3
Semi-direct and Iterative Methods
403
5.4
The Finite Element Method
428
5.5
The Fast Fourier Transform
448
6.
INITIAL-VALUE PROBLEMS
6.1
Ordinary Differential Equations
471
6.2
Stability and the Phase Plane and Chaos
492
6.3
The Laplace Transform and the z-Transform
513
6.4
The Heat Equation vs. the Wave Equation
536
6.5
Difference Methods for Initial-Value Problems
562
6.6
Nonlinear Conservation Laws
587
7.
NETWORK FLOWS AND COMBINATORICS
7.1
Spanning Trees and Shortest Paths
607
7.2
The Marriage Problem
620
7.3
Matching Algorithms
629
7.4
Maximal Flow in a Network
640
7.5
The Transportation Problem
651
8.
OPTIMIZATION
8.1
Introduction to Linear Programming
665
8.2
The Simplex Method and Karmarkar s Method
673
8.3
Duality in Linear Programming
692
8.4
Saddle Points (Minimax) and Game Theory
704
8.5
Nonlinear Optimization
718
Appendix: Software for Scientific Computing
735
References and Acknowledgements
738
Solutions to Selected Exercises
741
Index
751
|
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| institution | BVB |
| isbn | 0961408804 |
| language | English |
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| physical | IX, 758 S. Ill., graph. Darst. |
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| spelling | Strang, Gilbert 1934- Verfasser (DE-588)141888474 aut Introduction to applied mathematics Gilbert Strang Wellesley, Mass. Wellesley-Cambridge Press 1986 IX, 758 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Angewandte Mathematik (DE-588)4142443-8 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001347787&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Strang, Gilbert 1934- Introduction to applied mathematics Angewandte Mathematik (DE-588)4142443-8 gnd |
| subject_GND | (DE-588)4142443-8 (DE-588)4143389-0 |
| title | Introduction to applied mathematics |
| title_auth | Introduction to applied mathematics |
| title_exact_search | Introduction to applied mathematics |
| title_full | Introduction to applied mathematics Gilbert Strang |
| title_fullStr | Introduction to applied mathematics Gilbert Strang |
| title_full_unstemmed | Introduction to applied mathematics Gilbert Strang |
| title_short | Introduction to applied mathematics |
| title_sort | introduction to applied mathematics |
| topic | Angewandte Mathematik (DE-588)4142443-8 gnd |
| topic_facet | Angewandte Mathematik Aufgabensammlung |
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