The Princeton companion to applied mathematics:
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| Other Authors: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton
Princeton University Press
[2015]
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XVII, 994 Seiten Illustrationen |
| ISBN: | 9780691150390 |
Staff View
MARC
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| 245 | 1 | 0 | |a The Princeton companion to applied mathematics |c editor, Nicholas J. Higham |
| 246 | 1 | 3 | |a Companion to applied mathematics |
| 246 | 1 | 3 | |a Applied mathematics |
| 264 | 1 | |a Princeton |b Princeton University Press |c [2015] | |
| 300 | |a XVII, 994 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 0 | 7 | |a Angewandte Mathematik |0 (DE-588)4142443-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Angewandte Mathematik |0 (DE-588)4142443-8 |D s |
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| 700 | 1 | |a Higham, Nicholas J. |d 1961-2024 |0 (DE-588)123564441 |4 edt | |
| 856 | 4 | 2 | |m HEBIS Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028255991&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Record in the Search Index
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| adam_text | Contents
Preface ix n 25 Markov Chains 116
Contributors xiii 11 26 Model Reduction 117
n 27 Multiscale Modeling 119
n 28 Nonlinear Equations and Newton’s Method 120
Part I Introduction to Applied 11 29 n 30 Orthogonal Polynomials Shocks 122 122
Mathematics n 3i Singularities 124
1 1 What Is Applied Mathematics? 1 n 32 The Singular Value Decomposition 126
1 2 The Language of Applied Mathematics 8 n 33 Tensors and Manifolds 127
1 3 27 n 34 Uncertainty Quantification 131
1 4 Algorithms 40 n 35 Variational Principle 134
1516 Goals of Applied Mathematical Research The History of Applied Mathematics 48 55 n 36 Wave Phenomena 134
Part in Equations, Laws, and
Part n Concepts Functions of Applied
Mathematics
II l Asymptotics 81
II 2 Boundary Layer 82 III l Benford’s Law 135
II 3 Chaos and Ergodicity 82 III 2 Bessel Functions 137
11 4 Complex Systems 83 III 3 The Black-Scholes Equation 137
II 5 Conformal Mapping 84 m 4 The Burgers Equation 138
II 6 Conservation Laws 86 m 5 The Cahn-Hilliard Equation 138
II 7 Control 88 ra 6 The Cauchy-Riemann Equations 139
U 8 Convexity 89 m 7 The Delta Function and Generalized
n 9 Dimensional Analysis and Scaling 90 Functions 139
II 10 The Fast Fourier Transform 94 ffl 8 The Diffusion Equation 142
n n Finite Differences 95 m 9 The Dirac Equation 142
n i2 The Finite-Element Method 96 m io Einstein’s Field Equations 144
11 13 Floating-Point Arithmetic 96 in li The Euler Equations 146
n i4 Functions of Matrices 97 ffl 12 The Euler-Lagrange Equations 147
n is Function Spaces 99 111 13 The Gamma Function 148
n i6 Graph Theory 101 111 14 The Ginzburg-Landau Equation 148
n i7 Homogenization 103 m i5 Hooke’s Law 149
n is Hybrid Systems 103 III 16 The Korteweg-de Vries Equation 150
11 19 Integral Transforms and Convolution 104 m 17 The Lambert W Function 151
n 20 Interval Analysis 105 rn 18 Laplace s Equation 155
n 21 Invariants and Conservation Laws 106 in 19 The Logistic Equation 156
n 22 The Jordan Canonical Form 112 U1 20 The Lorenz Equations 158
11 23 Krylov Subspaces 113 m 2i Mathieu Functions 159
n 24 The Level Set Method 114 m 22 Maxwell’s Equations 160
Contents
vi
ra 23 The Navier-Stokes Equations 162
m 24 The Painleve Equations 163
m 25 The Riccati Equation 165
m 26 Schrodinger’s Equation 167
rn 27 The Shallow-Water Equations 167
m 28 The Sylvester and Lyapunov Equations 168
m 29 The Thin-Film Equation 169
m 30 The Tricomi Equation 170
in 3i The Wave Equation 171
Part IV Areas of Applied
Mathematics
IV 1 Complex Analysis 173
IV 2 Ordinary Differential Equations 181
IV 3 Partial Differential Equations 190
IV 4 Integral Equations 200
IV 5 Perturbation Theory and Asymptotics 208
IV 6 Calculus of Variations 218
IV 7 Special Functions 227
rv 8 Spectral Theory 236
IV 9 Approximation Theory 248
IV 10 Numerical Linear Algebra and Matrix
Analysis 263
rv n Continuous Optimization (Nonlinear and
Linear Programming) 281
IV 12 Numerical Solution of Ordinary Differential
Equations 293
IV 13 Numerical Solution of Partial Differential
Equations 306
rv i4 Applications of Stochastic Analysis 319
IV 15 Inverse Problems 327
IV 16 Computational Science 335
IV 17 Data Mining and Analysis 350
IV 18 Network Analysis 360
IV 19 Classical Mechanics 374
IV 20 Dynamical Systems 383
IV 21 Bifurcation Theory 393
IV 22 Symmetry in Applied Mathematics 402
IV 23 Quantum Mechanics 411
IV 24 Random-Matrix Theory 419
IV 25 Kinetic Theory 428
IV 26 Continuum Mechanics 446
IV 27 Pattern Formation 458
IV 28 Fluid Dynamics 467
IV 29 Magnetohydrodynamics 476
IV 30 Earth System Dynamics 485
V 31 Effective Medium Theories 500
V 32 Mechanics of Solids 505
V 33 Soft Matter 516
7 34 Control Theory 523
7 35 Signal Processing 533
IV 36 Information Theory 545
IV 37 Applied Combinatorics and Graph Theory 552
IV 38 Combinatorial Optimization 564
IV 39 Algebraic Geometry 570
IV 40 General Relativity and Cosmology 579
Part V Modeling
V l The Mathematics of Adaptation
(Or the Ten Avatars of Vishnu) 591
V 2 Sport 598
V 3 Inerters 604
V 4 Mathematical Biomechanics 609
V 5 Mathematical Physiology 616
V 6 Cardiac Modeling 623
V 7 Chemical Reactions 627
V 8 Divergent Series: Taming the Tails 634
V 9 Financial Mathematics 640
V 10 Portfolio Theory 648
V ll Bayesian Inference in Applied Mathematics 658
V 12 A Symmetric Framework with Many
Applications 661
V 13 Granular Flows 665
V 14 Modern Optics 673
V 15 Numerical Relativity 680
V 16 The Spread of Infectious Diseases 687
Vl7 The Mathematics of Sea Ice 694
V 18 Numerical Weather Prediction 705
V 19 Tsunami Modeling 712
V 20 Shock Waves 720
V 21 Turbulence 724
Part VI Example Problems
VI 1 Cloaking 733
VI 2 Bubbles 735
V 3 Foams 737
V 4 Inverted Pendulums 741
V 5 Insect Flight 743
V 6 The Flight of a Golf Ball 746
V 7 Automatic Differentiation 749
V 8 Knotting and Linking of Macromolecules 752
V 9 Ranking Web Pages 755
V 10 Searching a Graph 757
V 11 Evaluating Elementary Functions 759
V 12 Random Number Generation 761
V 13 Optimal Sensor Location in the Control of Energy-Efficient Buildings 763
V 14 Robotics 767
V 15 Slipping, Sliding, Rattling, and Impact: Nonsmooth Dynamics and Its Applications 769
Contents
vii
VI 16 From the N-Body Problem to Astronomy and Dark Matter 771
VI 17 The N-Body Problem and the Fast Multipole Method 775
VI 18 The Traveling Salesman Problem 778
Part VII Application Areas
VII 1 Aircraft Noise 783
VII 2 A Hybrid Symbolic-Numeric Approach to
Geometry Processing and Modeling 787
VII 3 Computer-Aided Proofs via Interval
Analysis 790
VTI 4 Applications of Max-Plus Algebra 795
VII 5 Evolving Social Networks, Attitudes, and
Beliefs—and Counterterrorism 800
vn 6 Chip Design 804
VII 7 Color Spaces and Digital Imaging 808
vn 8 Mathematical Image Processing 813
vn 9 Medical Imaging 816
vn io Compressed Sensing 823
vn n Programming Languages: An Applied
Mathematics View 828
vn 12 High-Performance Computing 839
vn n Visualization 843
VII 14 Electronic Structure Calculations
(Solid State Physics) 847
vn i 5 Flame Propagation 852
vn i6 Imaging the Earth Using Green’s Theorem 857
vn i7 Radar Imaging 860
vn i8 Modeling a Pregnancy Testing Kit 864
vn i9 Airport Baggage Screening with X-Ray Tomography 866
vn 20 Mathematical Economics 868
VII 21 Mathematical Neuroscience 873
VII 2 2 Systems Biology 879
vn 23 Communication Networks 883
vn 24 Text Mining 887
VU 25 Voting Systems 891
Part VIII Final Perspectives
VIII 1 Mathematical Writing 897
Vffl 2 How to Read and Understand a Paper 903
VIII 3 How to Write a General Interest Mathematics
Book 906
vm 4 Workflow 912
vra 5 Reproducible Research in the Mathematical
Sciences 916
vm 6 Experimental Applied Mathematics 925
vra 7 Teaching Applied Mathematics 933
vm 8 Mediated Mathematics: Representations of Mathematics in Popular Culture and
Why These Matter 943
Vffl 9 Mathematics and Policy 953
Index 963
|
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV042826676 |
| illustrated | Illustrated |
| indexdate | 2025-02-20T06:43:18Z |
| institution | BVB |
| isbn | 9780691150390 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028255991 |
| oclc_num | 927136557 |
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| physical | XVII, 994 Seiten Illustrationen |
| publishDate | 2015 |
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| publisher | Princeton University Press |
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| spellingShingle | The Princeton companion to applied mathematics Angewandte Mathematik (DE-588)4142443-8 gnd |
| subject_GND | (DE-588)4142443-8 |
| title | The Princeton companion to applied mathematics |
| title_alt | Companion to applied mathematics Applied mathematics |
| title_auth | The Princeton companion to applied mathematics |
| title_exact_search | The Princeton companion to applied mathematics |
| title_full | The Princeton companion to applied mathematics editor, Nicholas J. Higham |
| title_fullStr | The Princeton companion to applied mathematics editor, Nicholas J. Higham |
| title_full_unstemmed | The Princeton companion to applied mathematics editor, Nicholas J. Higham |
| title_short | The Princeton companion to applied mathematics |
| title_sort | the princeton companion to applied mathematics |
| topic | Angewandte Mathematik (DE-588)4142443-8 gnd |
| topic_facet | Angewandte Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028255991&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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Indexes
THWS Schweinfurt Zentralbibliothek Lesesaal
| Call Number: |
2000 SK 950 H638 |
|---|---|
| Copy 1 | ausleihbar Available Place a Hold |