Handbook of applied mathematics for engineers and scientists:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York, NY u.a.
McGraw-Hill
1991
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Getr. Zählung graph. Darst. |
ISBN: | 0070356858 |
Internformat
MARC
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Datensatz im Suchindex
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adam_text | CONTENTS
Preface ix
Section 1. Algebra 1.1
1.1. Classification and Properties of Numbers / 1.1
1.2. Definitions Pertaining to Subtraction and Division / 1.2
1.3. Definitions Pertaining to Expressions / 1.2
1.4. Laws of Algebraic Operations / 1.2
1.5. Exponents / 1.3
1.6. Logarithms / 1.4
1.7. Decimal Fractions / 1.6
1.8. Operations with Complex Numbers / 1.6
1.9. Simplifying an Expression / 1.7
1.10. Proportions and Proportionalities / 1.8
1.11. Definitions Pertaining to Equations / 1.9
1.12. Simultaneous Linear Equations in Two Unknowns / 1.9
1.13. Inequalities / 1.10
1.14. Notation for Functions, Sums, and Products / 1.11
1.15. Mathematical Induction / 1.12
1.16. Factorial Numbers / 1.13
1.17. Series / 1.13
1.18. Nested Form of a Series / 1.17
1.19. Synthetic Division / 1.20
1.20. Polynomials in Single Variable / 1.20
1.21. Transformation of Polynomial Fractions to Continued Fractions / 1.22
1.22. Binomial Coefficients and Their Relationships / 1.24
1.23. Binomial Theorem / 1.25
1.24. Polynomial Equations in Single Unknown / 1.26
1.25. Solution of Quadratic Equation / 1.31
1.26. Solution of Cufcic Equation / 1.33
1.27. Solution of Quartic Equation / 1.40
1.28. Definition of e / 1.41
1.29. Numbers in Floating Decimal Point System / 1.42
1.30. Binary and Octal Numeral Systems / 1.43
1.31. Hexadecimal Numeral System / 1.47
1.32. Modulo Arithmetic / 1.48
1.33. Pythagorean Sets / 1.52
Section 2. Plane and Spherical Trigonometry 2.1
2.1. Plane Trigonometry / 2.1
2.2. Spherical Trigonometry / 2.14
v
vi CONTENTS
Section 3. Plane and Solid Analytic Geometry 3 1
3.1. Basic Plane Analytic Geometry / 3.1
3.2. The Conic Sections / 3.12
3.3. Basic Solid Analytic Geometry / 3.22
3.4. Quadric Surfaces / 3.32
Section 4. Permutations and Combinations 4.1
4.1. Properties of Permutations and Combinations / 4.1
4.2. Method of Generating Permutations / 4.8
Section 5. Matrix Algebra 5.1
5.1. Basic Concepts / 5.1
5.2. Algebraic Operations with Matrices / 5.4
5.3. Transformation of Matrices / 5.11
5.4. Complex Matrices / 5.18
5.5. Determinants / 5.23
5.6. Inverse Matrix and Its Applications / 5.32
5.7. Solution of Simultaneous Linear Equations / 5.37
5.8. Eigenvalues and Eigenvectors / 5.43
Section 6. Boolean Algebra 6 1
6.1. Concepts and Notation / 6.1
6.2. Equivalence / 6.3
6.3. Generalized Terminology / 6.4
6.4. Complementary Variables and Expressions / 6.5
6.5. Algebraic Derivation of Equations / 6.6
6.6. Laws of Duality / 6.9
6.7. Use of Truth Tables / 6.10
6.8. Types of Expressions / 6.11
6.9. Standard Expressions / 6.11
6.10. Redundancies / 6.12
6.11. Reduction of Expressions / 6.13
6.12. Algebraic Method of Reduction / 6.14
6.13. Construction and Properties of Karnaugh Maps / 6.17
6.14. Reduction by Use of Karnaugh Maps / 6.19
6.15. Use of Incomplete Blocks / 6.22
6.16. Reduction of Complementary Expression / 6.24
6.17. Change of Form of Expression / 6.25
6.18. Irrelevant Terms / 6.25
6.19. The EXCLUSIVE OR Relationship / 6.27
6.20. Expression for Complex System / 6.27
Section 7. Transformation of Space in Computer Graphics 7A
7.1. Introduction / 7.1
7.2. Reversible Transformations / 7.4
7.3. Projections / 7.26
Section 8. Basic Statistics 1
8.1. Presentation of Statistical Data / 8.1
8.2. Averages and Mean Values of Statistical Data / 8.10
8.3. Analysis of Distribution of Data / 8.22
CONTENTS vii
8.3.10. Kurtosis / 8.29
Section 9. Probability 9.1
9.1. Calculation of Probability / 9.1
9.2. Discrete Probability Distributions / 9.16
9.3. Continuous Probability Distributions / 9.27
9.4. Markov Probability / 9.37
Section 10. Statistical Inference and Regression Analysis 10.1
10.1. Sampling Distributions / 10.1
10.2. Estimation of Parameters / 10.11
10.3. Regression Analysis / 10.18
10.4. Correlation and Accuracy of Estimates / 10.34
10.5. References / 10.40
Section 11. Introduction to Cybernetics 11.1
11.1. Transformations / 11.1
11.2. Behavior of Determinate Machines / 11.8
11.3. Coupling of Machines / 11.14
11.4. Related Machines / 11.21
11.5. Variety and Its Transmission / 11.23
11.6. Communication by Code / 11.30
11.7. Behavior of Indeterminate Machines / 11.33
11.8. References / 11.38
Section 12. Calculus 12.1
12.1. Hyperbolic Functions / 12.1
12.2. Derivatives / 12.4
12.3. Applications of Derivatives / 12.10
12.4. Integration / 12.21
12.5. Motion in a Plane / 12.33
12.6. Volumes, Arc Lengths, and Surface Areas / 12.44
12.7. Partial Differentiation / 12.50
12.8. Multiple Integration / 12.57
12.9. Properties of Areas / 12.64
12.10. Properties of Arcs, Volumes, and Masses / 12.72
12.11. Infinite Series / 12.76
12.12. Ordinary Differential Equations / 12.86
12.13. Special Functions / 12.96
12.14. Vector Analysis / 12.104
12.15. Motion of Planets and Rockets / 12.123
12.16. References / 12.137
Appendix: Derivatives and Integrals A.1
Table A.I. Derivatives / A.1
Table A.2. Integrals / A.3
Index 1.1 (follow* Appendix)
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isbn | 0070356858 |
language | English |
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spelling | Kurtz, Max Verfasser aut Handbook of applied mathematics for engineers and scientists Max Kurtz New York, NY u.a. McGraw-Hill 1991 Getr. Zählung graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik (DE-588)4037944-9 gnd rswk-swf Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf Mathematik (DE-588)4037944-9 s DE-604 Angewandte Mathematik (DE-588)4142443-8 s DE-188 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005620796&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Kurtz, Max Handbook of applied mathematics for engineers and scientists Mathematik (DE-588)4037944-9 gnd Angewandte Mathematik (DE-588)4142443-8 gnd |
subject_GND | (DE-588)4037944-9 (DE-588)4142443-8 |
title | Handbook of applied mathematics for engineers and scientists |
title_auth | Handbook of applied mathematics for engineers and scientists |
title_exact_search | Handbook of applied mathematics for engineers and scientists |
title_full | Handbook of applied mathematics for engineers and scientists Max Kurtz |
title_fullStr | Handbook of applied mathematics for engineers and scientists Max Kurtz |
title_full_unstemmed | Handbook of applied mathematics for engineers and scientists Max Kurtz |
title_short | Handbook of applied mathematics for engineers and scientists |
title_sort | handbook of applied mathematics for engineers and scientists |
topic | Mathematik (DE-588)4037944-9 gnd Angewandte Mathematik (DE-588)4142443-8 gnd |
topic_facet | Mathematik Angewandte Mathematik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005620796&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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