Bridging the gap to university mathematics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Springer
[2009]
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 344 Seiten Illustrationen, Diagramme |
| ISBN: | 9781848002890 1848002890 |
Staff View
MARC
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| 100 | 1 | |a Gould, Martin |d 1986- |e Verfasser |0 (DE-588)137155867 |4 aut | |
| 245 | 1 | 0 | |a Bridging the gap to university mathematics |c Martin Gould, Edward Hurst |
| 264 | 1 | |a London |b Springer |c [2009] | |
| 264 | 4 | |c © 2009 | |
| 300 | |a x, 344 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics | |
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Record in the Search Index
| _version_ | 1804138547558481920 |
|---|---|
| adam_text | Contents
Acknowledgements
............................................. xi
1.
Inequalities
................................................. 1
1.1
What Are Inequalities?
.................................... 2
1.2
Using Graphs
............................................ 4
1.3
Critical Values
........................................... 7
2.
Trigonometry, Differentiation and Exponents
............... 13
2.1
Some Identities
........................................... 14
2.2
Differentiating
........................................... 19
2.3
Exponents and Logarithms
................................ 23
3.
Polar Coordinates
.......................................... 31
3.1
A Different Slant
......................................... 32
3.2
Lines and Circles
......................................... 36
3.3
Moving on Up
........................................... 41
4.
Complex Numbers
.......................................... 49
4.1
Numbers
................................................ 50
4.2
Working with Complex Numbers
........................... 52
4.3
Tips and Tricks
.......................................... 56
5.
Vectors
..................................................... 61
5.1
Reinventing the Wheel
.................................... 62
5.2
A Different Approach
..................................... 67
Contents
5.3
The Cross Product
....................................... 70
6.
Matrices
.................................................... 73
6.1
Enter the Matrix
......................................... 74
6.2
Multiplication and More
................................... 78
6.3
Determinants and Inverses
................................. 83
7.
Matrices as Maps
........................................... 89
7.1
Over and Over
........................................... 90
7.2
Old Friends
.............................................. 95
7.3
Eigenvalues and Eigenvectors
..............................104
8.
Separable Differential Equations
............................113
8.1
Repetition Is the Key to Success
...........................114
8.2
Separation of Variables
....................................120
8.3
Combining the Tools
......................................123
9.
Integrating Factors
.........................................127
9.1
Troubling Forms
.........................................128
9.2
Productivity
.............................................131
9.3
The Finishing Line
.......................................133
10.
Mechanics
..................................................137
10.1
Where You Want to Be
...................................138
10.2
Faster! Faster!
...........................................145
10.3
Resolving Forces
.........................................149
11.
Logic, Sets and Functions
...................................157
11.1
Set Notation
.............................................158
11.2
Logical Equivalence
.......................................162
11.3
Functions
................................................166
12.
Proof Methods
.............................................171
12.1
Proof by Induction
.......................................172
12.2
The Principle of Induction
.................................173
12.3
Contrapositive
Statements
.................................178
13.
Probability
.................................................183
13.1
Turn that Frown Upside-Down
.............................184
13.2
Solving Probability Problems
..............................187
13.3
Conditioning
.............................................191
Contents ix
14.
Distributions
...............................................195
14.1
Binomial
Events..........................................196
14.2
Poisson
Events...........................................198
14.3
Using Binomial and
Poisson
Models
.........................201
15.
Making Decisions
...........................................207
15.1
A Whole New Probability
.................................208
15.2
Story Time
..............................................212
15.3
Decision Problems
........................................215
16.
Geometry
..................................................221
16.1
Old Problems, New Tricks
.................................223
16.2
Proof
...................................................226
16.3 3D
Geometry
............................................235
17.
Hyperbolic Trigonometry
...................................241
17.1
Your New Best Friends
....................................242
17.2
Identities and Derivatives
..................................246
17.3
Integration
..............................................250
18.
Motion and Curvature
......................................253
18.1
Loose Ends or New Beginnings?
............................254
18.2
Circular Motion
..........................................261
18.3
Curves
..................................................268
19.
Sequences
..................................................273
19.1
(Re)Starting Afresh
.......................................274
19.2
To Infinity (Not Beyond)
..................................276
19.3
Nothing at All
...........................................281
20.
Series
.......................................................285
20.1
Various Series
............................................286
20.2
Harmonics and Infinities
...................................289
20.3
Comparison Testing
......................................292
A. Appendix
...................................................295
A.I Inequalities
..............................................295
Â.2
Trigonometry. Differentiation and Exponents
.................296
A.3 Polar Coordinates
........................................296
A.
4
Complex Numbers
........................................297
A.5 Vectors
..................................................297
A.6 Matrices
................................................298
A.7 Matrices as Maps
.........................................298
x
Contents
Α.
8
Separable Differential Equations
............................299
A.9 Integrating Factors
.......................................299
A.10 Mechanics
...............................................300
A.
11
Logic, Sets and Functions
.................................301
A.12 Proof Methods
...........................................302
A.13 Probability
..............................................303
A.14 Distributions
.............................................304
A.15 Making Decisions
.........................................304
A.16 Geometry
...............................................304
A.
17
Hyperbolic Trigonometry
..................................305
A.
18
Motion and Curvature
....................................305
A.19 Sequences
...............................................305
A.20 Series
...................................................306
A.21 Pure: Miscellaneous
.......................................306
A.
22
Applications: Miscellaneous
................................307
B. Extension Questions
........................................309
C. Worked Solutions to Extension Questions
...................313
Solutions to Exercises
..........................................323
Index
...........................................................343
|
| any_adam_object | 1 |
| author | Gould, Martin 1986- Hurst, Edward |
| author_GND | (DE-588)137155867 (DE-588)137155840 |
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| author_sort | Gould, Martin 1986- |
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| building | Verbundindex |
| bvnumber | BV035263456 |
| callnumber-first | Q - Science |
| callnumber-label | QA39 |
| callnumber-raw | QA39.3 |
| callnumber-search | QA39.3 |
| callnumber-sort | QA 239.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 399 SK 110 |
| ctrlnum | (OCoLC)318522212 (DE-599)DNB988077116 |
| 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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| genre_facet | Einführung |
| id | DE-604.BV035263456 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:29:56Z |
| institution | BVB |
| isbn | 9781848002890 1848002890 |
| language | English |
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| physical | x, 344 Seiten Illustrationen, Diagramme |
| publishDate | 2009 |
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| publisher | Springer |
| record_format | marc |
| spelling | Gould, Martin 1986- Verfasser (DE-588)137155867 aut Bridging the gap to university mathematics Martin Gould, Edward Hurst London Springer [2009] © 2009 x, 344 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Mathematik Mathematics Mathematics Problems, exercises, etc Mathematik (DE-588)4037944-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Mathematik (DE-588)4037944-9 s DE-604 Hurst, Edward Verfasser (DE-588)137155840 aut Erscheint auch als Online-Ausgabe 978-1-84800-290-6 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017068943&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gould, Martin 1986- Hurst, Edward Bridging the gap to university mathematics Mathematik Mathematics Mathematics Problems, exercises, etc Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4151278-9 |
| title | Bridging the gap to university mathematics |
| title_auth | Bridging the gap to university mathematics |
| title_exact_search | Bridging the gap to university mathematics |
| title_full | Bridging the gap to university mathematics Martin Gould, Edward Hurst |
| title_fullStr | Bridging the gap to university mathematics Martin Gould, Edward Hurst |
| title_full_unstemmed | Bridging the gap to university mathematics Martin Gould, Edward Hurst |
| title_short | Bridging the gap to university mathematics |
| title_sort | bridging the gap to university mathematics |
| topic | Mathematik Mathematics Mathematics Problems, exercises, etc Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Mathematik Mathematics Mathematics Problems, exercises, etc Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017068943&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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