The calculus of physics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Benjamin
1969
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV,132 S.m.Abb.u.Tab. |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | II CONTENTS
PREFACE V
NOTE TO THE STUDENT X
Chapter 1 Some Notions in Differential Calculus 1
1 1 Functions 1
1 2 Definition of Derivative 3
1 3 Derivative of a Polynomial or Algebraic Function 6
1 4 Derivatives of Other Commonly Used Functions 8
1 5 Speed and Rate of Change 9
Problem Set 1: Differential Calculus 11
Chapter 2 The Ideas of Integral Calculus 12
2 1 Integration 12
2 2 Integration Formulas 13
2 3 Applications to Physics Problems 15
2 4 The Integral as Area 17
2 5 The Integral as Limit of a Sum 22
vii
viii Contents
2 6 Changes of Variable and the Perfect Differential 24
Problem Set 2: Integrals of Single Variables 26
Chapter 3 Vectors and Vector Algebra 28
3 1 Review of Trigonometry 28
3 2 Definition of Vectors and Their Addition 32
3 3 Multiplication of Vectors 34
3 4 Components of a Vector 37
3 5 Rotation of Axes and Matrix Representation of
Vectors 41
Problem Set 3: Vector Algebra 46
Chapter 4 Vector Analysis 48
4 1 Differentiation of Vectors by a Scalar 48
4 2 Angular Velocity, with Some Attention to Finite
Rotations 54
Problem Set 4: Differentiation of Vectors 63
4 3 The Line Integral and Work 64
Problem Set 5: Line Integrals 70
4 4 The Surface Integral 71
Chapter 5 Multiple Integrals, Centroids, Moments of Inertia 77
5 1 Partial Differentiation 77
Problem Set 6: Partial Derivatives 79
5 2 Multiple Integrals, Two Variables, and Three 79
Problem Set 7: Double Integrals and Surface Integrals 85
5 3 Center of Mass, or Centroid 85
Problem Set 8: Centroids 90
Contents ix
5 4 Moment of Inertia 92
Problem Set 9: Moments of Inertia 98
Chapter 6 Differential Equations 101
6 1 Review of Complex Numbers and Functions 101
Problem Set 10: Complex Numbers 105
6 2 Variables Separable 106
6 3 Differential Equations Involving Homogeneous
Functions of the Variables 109
6 4 Linear Differential Equations 112
First Order 112
Second Order 115
6 5 Applications 123
Simple Harmonic Motion 123
Damped Oscillatory Motion 124
Forced Vibrations 126
Falling Body with Frictional Forces 127
Problem Set 11: Differential Equations 129
Index 131
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:33:32Z |
| institution | BVB |
| language | English |
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| physical | XIV,132 S.m.Abb.u.Tab. |
| publishDate | 1969 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Benjamin |
| record_format | marc |
| spelling | Hull, MacAllister H. Verfasser aut The calculus of physics New York Benjamin 1969 XIV,132 S.m.Abb.u.Tab. txt rdacontent n rdamedia nc rdacarrier Mathematische Physik Calculus Mathematical physics Mathematik (DE-588)4037944-9 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Physiker (DE-588)4045968-8 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Mathematik (DE-588)4037944-9 s Physiker (DE-588)4045968-8 s DE-604 Analysis (DE-588)4001865-9 s Physik (DE-588)4045956-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003569681&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hull, MacAllister H. The calculus of physics Mathematische Physik Calculus Mathematical physics Mathematik (DE-588)4037944-9 gnd Physik (DE-588)4045956-1 gnd Analysis (DE-588)4001865-9 gnd Physiker (DE-588)4045968-8 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4045956-1 (DE-588)4001865-9 (DE-588)4045968-8 (DE-588)4151278-9 |
| title | The calculus of physics |
| title_auth | The calculus of physics |
| title_exact_search | The calculus of physics |
| title_full | The calculus of physics |
| title_fullStr | The calculus of physics |
| title_full_unstemmed | The calculus of physics |
| title_short | The calculus of physics |
| title_sort | the calculus of physics |
| topic | Mathematische Physik Calculus Mathematical physics Mathematik (DE-588)4037944-9 gnd Physik (DE-588)4045956-1 gnd Analysis (DE-588)4001865-9 gnd Physiker (DE-588)4045968-8 gnd |
| topic_facet | Mathematische Physik Calculus Mathematical physics Mathematik Physik Analysis Physiker Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003569681&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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