Manual of precalculus mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bozen
Univ. Press
2009
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | V, 77 S. graph. Darst. |
| ISBN: | 9788860460271 |
Internformat
MARC
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| 245 | 1 | 0 | |a Manual of precalculus mathematics |c Juan Gabriel Brida |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface
vi
1
Fundamentals
1
1.1
Symbols
.............................. 1
1.2
Sets and subsets
.......................... 2
1.2.1
Subsets
.......................... 3
1.2.2
Set operations
....................... 3
1.2.3
Examples
......................... 4
1.2.4
Important properties
................... 4
1.2.5
Venn diagrams
...................... 4
1.3
Natural numbers
......................... 5
1.3.1
Divisibility rules
...................... 5
1.3.2
Prime numbers
...................... 6
1.4
Factorials, permutations and combinations
........... 6
1.5
The binomial theorem
...................... 8
1.6
Pascal s Triangle
......................... 9
1.7
Exercises
.............................. 10
2
The set of real numbers
15
2.1
The real number system
..................... 15
2.1.1
Rational and irrational numbers
............. 15
2.1.2
The numbers
e
and pi
.................. 17
2.2
Properties of the operations with real numbers
......... 18
2.3
Ordering
.............................. 18
2.4
Intervals and absolute value
................... 19
2.4.1
Absolute value
...................... 19
2.4.2
The real line
........................ 20
2.4.3
Intervals
.......................... 20
IV
CONTENTS
2.5
Exercises
.............................. 21
Powers
and logarithms
23
3.1
Powers
............................... 23
3.1.1
Natural exponent
..................... 23
3.1.2
Integer exponent
..................... 23
3.1.3
Roots and radicals
.................... 23
3.1.4
Rational exponent
.................... 24
3.1.5
Irrational exponent
.................... 24
3.1.6
Properties
......................... 24
3.2
Logarithms
............................ 25
3.2.1
Laws of Logarithms
.................... 25
3.2.2
Change of Base Formula
................. 26
3.2.3
General properties of the Natural Logarithms
..... 26
3.3
Exercises
.............................. 27
Polynomials
29
4.1
Definition of a polynomial
.................... 29
4.2
Operations with polynomials
................... 30
4.3
Special products
.......................... 31
4.4
Roots of Polynomials
....................... 32
4.5
Factoring Polynomials
...................... 33
4.6
Exercises
.............................. 33
Equations and inequalities
35
5.1
Equations
............................. 35
5.1.1
Linear Equations
..................... 36
5.1.2
Solving a Linear Equation
................ 36
5.1.3
Quadratic equation
.................... 37
5.1.4
Equations Involving nth Roots
.............. 39
5.1.5
Taking Care of Extraneous Solutions
.......... 39
5.1.6
Equations of Quadratic Type
.............. 41
5.1.7
Solutions by Factoring
.................. 43
5.1.8
Factoring by Grouping
.................. 44
5.2
Inequalities
............................ 45
5.2.1
Rules of Inequalities
................... 45
5.2.2
Linear Inequalities
.................... 46
5.2.3
Solving a Pair of Simultaneous Inequalities
....... 47
CONTENTS v
5.2.4
Nonlinear Inequalities
.................. 48
5.3
Exercises
.............................. 50
6
Analytic Geometry
53
6.1
Coordinate system
........................ 53
6.2
The straight line
......................... 54
6.3
Linear inequalities in two variables
............... 56
6.4
The circle
............................. 56
6.5
Exercises
.............................. 57
7
Functions of One Real Variable
61
7.1
Definition and notations
...................... 61
7.2
Finding Domains of Functions
.................. 62
7.3
Image. One-to-one, onto and bijective functions
........ 63
7.4
Graphs
............................... 63
7.5
Usual functions
.......................... 63
7.5.1
Polynomial Functions
................... 63
7.5.2
Linear functions
...................... 64
7.5.3
Quadratic functions
.................... 64
7.5.4
The exponential function
................. 65
7.5.5
The logarithmic function
................. 66
7.5.6
The absolute value function
............... 66
7.5.7
Power Functions
..................... 67
7.6
Transformations of Functions
.................. 68
7.6.1
Vertical and horizontal shifts
............... 68
7.6.2
Vertical and horizontal stretching and reflecting
.... 68
7.7
Composition of functions
..................... 70
7.8
Inverse functions
......................... 70
7.9
Exercises
.............................. 71
|
| any_adam_object | 1 |
| author | Brida, Juan Gabriel 1963- |
| author_GND | (DE-588)13751333X |
| author_facet | Brida, Juan Gabriel 1963- |
| author_role | aut |
| author_sort | Brida, Juan Gabriel 1963- |
| author_variant | j g b jg jgb |
| building | Verbundindex |
| bvnumber | BV035786911 |
| classification_rvk | QH 150 SK 399 |
| ctrlnum | (OCoLC)503242660 (DE-599)BVBBV035786911 |
| 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 Wirtschaftswissenschaften |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T22:04:33Z |
| institution | BVB |
| isbn | 9788860460271 |
| language | English |
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| spelling | Brida, Juan Gabriel 1963- Verfasser (DE-588)13751333X aut Manual of precalculus mathematics Juan Gabriel Brida Bozen Univ. Press 2009 V, 77 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik (DE-588)4037944-9 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Grundlage (DE-588)4158388-7 gnd rswk-swf Schulmathematik (DE-588)4153188-7 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Mathematik (DE-588)4037944-9 s Grundlage (DE-588)4158388-7 s DE-604 Schulmathematik (DE-588)4153188-7 s Analysis (DE-588)4001865-9 s b DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018646314&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brida, Juan Gabriel 1963- Manual of precalculus mathematics Mathematik (DE-588)4037944-9 gnd Analysis (DE-588)4001865-9 gnd Grundlage (DE-588)4158388-7 gnd Schulmathematik (DE-588)4153188-7 gnd |
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| title | Manual of precalculus mathematics |
| title_auth | Manual of precalculus mathematics |
| title_exact_search | Manual of precalculus mathematics |
| title_full | Manual of precalculus mathematics Juan Gabriel Brida |
| title_fullStr | Manual of precalculus mathematics Juan Gabriel Brida |
| title_full_unstemmed | Manual of precalculus mathematics Juan Gabriel Brida |
| title_short | Manual of precalculus mathematics |
| title_sort | manual of precalculus mathematics |
| topic | Mathematik (DE-588)4037944-9 gnd Analysis (DE-588)4001865-9 gnd Grundlage (DE-588)4158388-7 gnd Schulmathematik (DE-588)4153188-7 gnd |
| topic_facet | Mathematik Analysis Grundlage Schulmathematik Lehrbuch |
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