|  
 |  12. évfolyam, 3. kiadás (2022. 08. 08.) Mozaik Kiadó méret: 170x240 mm terjedelem: 288 oldal 
6 780 Ft
Kosárba  | 
| A kiadvány az MS-2312 Sokszínű matematika 12. c. kötet angol nyelvű változata.
This book is the English version of the former Hungarian market leader textbook titled Sokszínű matematika 12. | 
| A kiadvány digitális változata a könyvben levő kóddal ingyenesen elérhető * A kiadvány hátsó borítójának belső oldalán található egyedi kóddal a kiadvány digitálisan is elérhető. Az aktivált kódokkal 1 éves DÍJMENTES hozzáférést ajándékozunk a kiadvány digitális változatához. Az aktiválás a www.mozaweb.hu/aktivalas oldalon, a Fiókom/Új kód aktiválása menüpontban érhető el. | 




| Logic and methods of proof | 9 | 
| 1. Logic problems and statements | 10 | 
| 2. Logical operators: negation, conjunction, disjunction | 15 | 
| 3. Logical operators: implication and equivalence | 23 | 
| 4. Induction (higher level courseware) | 28 | 
| Number sequences | 35 | 
| 1. Definition of a number sequence, examples | 36 | 
| 2. Recursive sequences – examples | 41 | 
| 3. Arithmetic progressions | 48 | 
| 4. Geometric progressions | 54 | 
| 5. Interest calculation, computation of instalments | 61 | 
| Three-dimensional geometry | 65 | 
| 1. Geometric objects in space | 66 | 
| 2. Division of the plane and the space (extra-curricular topic) | 72 | 
| 3. Classification of solids, Platonic solids | 76 | 
| 4. The concept of area, area of polygons | 82 | 
| 5. The area of the disc and its parts | 87 | 
| 6. Concept of volume, the volume of the prism and the cylinder | 92 | 
| 7. Volume of the pyramid and the cone | 98 | 
| 8. Conical and pyramidal frustum | 103 | 
| 9. The volume and surface of the sphere | 108 | 
| 10. Inscribed solids (extra-curricular topic) | 112 | 
| 11. Applications of three-dimensional geometry | 118 | 
| Probability theory, statistics | 121 | 
| 1. Geometric probability | 122 | 
| 2. Expected value (higher level courseware) | 128 | 
| 3. Statistics | 134 | 
| Thematic summary | 145 | 
| Methods of reasoning | 146 | 
| 1. Sets, statements, events | 146 | 
| 2. Combinatorics, probability | 152 | 
| Algebra and number theory | 161 | 
| 1. Numbers and operations | 161 | 
| 2. Number theory, divisibility | 164 | 
| 3. Powers, root, logarithm | 167 | 
| 4. Operations with rational expressions | 178 | 
| 5. Equations, inequalities | 183 | 
| 6. Simultaneous equations (systems of equations) | 213 | 
| Functions | 218 | 
| 1. Definition and graph of a function, simple properties | 218 | 
| 2. Operations on functions (extra-curricular topic) | 221 | 
| 3. Properties of functions | 224 | 
| Geometry | 230 | 
| 1. Basic concepts | 230 | 
| 2. Geometric transformations | 238 | 
| Congruent transformations | 238 | 
| Similarity transformation | 243 | 
| 3. Vectors. Trigonometric functions | 248 | 
| 4. Properties of notable planar objects | 257 | 
| 5. Coordinate geometry | 270 | 
| Problem sets for intermediate level maturity exam | 276 | 
| Problem set 1 | 277 | 
| Problem set 2 | 279 | 
| Problem set 3 | 281 | 
| Problem set 4 | 283 | 
| Problem set 5 | 286 |