Transformation groups for beginners /
"This book is intended for undergraduate students and all those interested in mathematics. Its goal is to give an easy introduction to the concept of a transformation group using examples from different areas of mathematics. The book contains plenty of figures, as well as many exercises with hi...
| Main Authors: | , |
|---|---|
| Other Authors: | , |
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence, R.I. :
American Mathematical Society,
[2004], ©2004
Providence, R.I. : c2004 Providence, R.I. : ©2004 Providence, RI : c2004 Providence, R.I. : [2004] |
| Series: | Student mathematical library ;
v. 25 Student mathematical library, v. 25 Student mathematical library ; v. 25 Student mathematical library v. 25 |
| Subjects: |
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| 100 | 1 | |a Duzhin, S. V |q (Sergeĭ Vasilʹevich), |d 1956- |1 http://viaf.org/viaf/42120204 | |
| 100 | 1 | |a Duzhin, S. V |q (Sergeĭ Vasilʹevich), |d 1956- | |
| 100 | 1 | |a Duzhin, S. V |q (Sergeĭ Vasilʹevich), |d 1956- | |
| 240 | 1 | 0 | |a Ot ornamentov do different͡sialʹnykh uravneniĭ |l English |
| 240 | 1 | 0 | |a Ot ornamentov do different͡sialʹnykh uravneniĭ |l English |
| 240 | 1 | 0 | |a Ot ornamentov do different͡sialʹnykh uravneniĭ |l English. |
| 240 | 1 | 0 | |a Ot ornamentov do different︠s︡ialʹnykh uravneniĭ |l English |
| 240 | 1 | 0 | |a Ot ornamentov do different︠s︡ialʹnykh uravneniĭ |l English. |
| 240 | 1 | 0 | |a Ot ornamentov do different︠s︡ialʹnykh uravneniĭ |l English |
| 245 | 1 | 0 | |a Transformation groups for beginners / |c S.V Duzhin, B.D. Chebotarevsky ; [translated from the Russian by S.V. Duzhin] |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c [2004], ©2004 | ||
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c c2004 | ||
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c ©2004 | ||
| 260 | |a Providence, RI : |b American Mathematical Society, |c c2004 | ||
| 264 | 1 | |a Providence, R.I. : |b American Mathematical Society, |c [2004] | |
| 264 | 4 | |c ©2004 | |
| 300 | |a x, 246 p. : |b ill. ; |c 21 cm | ||
| 300 | |a x, 246 p. : |b ill. ; |c 22 cm | ||
| 300 | |a x, 246 p. ; |c 22 cm | ||
| 300 | |a x, 246 pages : |b illustrations ; |c 22 cm | ||
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| 440 | 0 | |a Student mathematical library ; |v v. 25 | |
| 440 | 0 | |a Student mathematical library, |x 1520-9121 ; |v v. 25 | |
| 490 | 1 | |a Student mathematical library ; |v v. 25 | |
| 490 | 1 | |a Student mathematical library, |x 1520-9121 ; |v v. 25 | |
| 500 | |a Includes index | ||
| 500 | |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |5 CTY | ||
| 504 | |a Includes index | ||
| 505 | 0 | 0 | |g Ch. 1 |t Algebra of points -- |g Ch. 2. |t Plane movements -- |g Ch. 3. |t Transformation groups -- |g Ch. 4. |t Arbitrary groups -- |g Ch. 5. |t Orbits and ornaments -- |g Ch. 6. |t Other types of transformations -- |g Ch. 7. |t Symmetries of differential equations. |
| 505 | 0 | 0 | |g Ch. 1 |t Algebra of points -- |g Ch. 2. |t Plane movements -- |g Ch. 3. |t Transformation groups -- |g Ch. 4. |t Arbitrary groups -- |g Ch. 5. |t Orbits and ornaments -- |g Ch. 6. |t Other types of transformations -- |g Ch. 7. |t Symmetries of differential equations. |
| 505 | 0 | 0 | |g Chapter 1 |t Algebra of Points |g 7 -- |g 1. |t Checkered plane |g 7 -- |g 2. |t Point addition |g 10 -- |g 3. |t Multiplying points by numbers |g 14 -- |g 4. |t Centre of gravity |g 17 -- |g 5. |t Coordinates |g 20 -- |g 6. |t Point multiplication |g 24 -- |g 7. |t Complex numbers |g 30 -- |g Chapter 2. |t Plane Movements |g 41 -- |g 1. |t Parallel translations |g 41 -- |g 2. |t Reflections |g 44 -- |g 3. |t Rotations |g 47 -- |g 4. |t Functions of a complex variable |g 50 -- |g 5. |t Composition of movements |g 55 -- |g 6. |t Glide reflections |g 61 -- |g 7. |t Classification of movements |g 63 -- |g 8. |t Orientation |g 66 -- |g 9. |t Calculus of involutions |g 68 -- |g Chapter 3. |t Transformation Groups |g 73 -- |g 1. |t A rolling triangle |g 73 -- |g 2. |t Transformation groups |g 76 -- |g 3. |t Classification of finite groups of movements |g 78 -- |g 4. |t Conjugate transformations |g 80 -- |g 5. |t Cyclic groups |g 86 -- |g 6. |t Generators and relations |g 90 -- |g Chapter 4. |t Arbitrary Groups |g 97 -- |g 1. |t The general notion of a group |g 97 -- |g 2. |t Isomorphism |g 106 -- |g 3. |t The Lagrange theorem |g 118 -- |g Chapter 5. |t Orbits and Ornaments |g 127 -- |g 1. |t Homomorphism |g 127 -- |g 2. |t Quotient group |g 131 -- |g 3. |t Groups presented by generators and relations |g 136 -- |g 4. |t Group actions and orbits |g 137 -- |g 5. |t Enumeration of orbits |g 141 -- |g 6. |t Invariants |g 148 -- |g 7. |t Crystallographic groups |g 151 -- |g Chapter 6. |t Other Types of Transformations |g 165 -- |g 1. |t Affine transformations |g 165 -- |g 2. |t Projective transformations |g 169 -- |g 3. |t Similitudes |g 175 -- |g 4. |t Inversions |g 182 -- |g 5. |t Circular transformations |g 187 -- |g 6. |t Hyperbolic geometry |g 191 -- |g Chapter 7. |t Symmetries of Differential Equations |g 197 -- |g 1. |t Ordinary differential equations |g 197 -- |g 2. |t Change of variables |g 202 -- |g 3. |t The Bernoulli equation |g 203 -- |g 4. |t Point transformations |g 207 -- |g 5. |t One-parameter groups |g 214 -- |g 6. |t Symmetries of differential equations |g 216 -- |g 7. |t Solving equations by symmetries |g 220. |
| 520 | 1 | |a "This book is intended for undergraduate students and all those interested in mathematics. Its goal is to give an easy introduction to the concept of a transformation group using examples from different areas of mathematics. The book contains plenty of figures, as well as many exercises with hints and solutions, which help the reader to master the material."--BOOK JACKET | |
| 520 | 1 | |a "This book is intended for undergraduate students and all those interested in mathematics. Its goal is to give an easy introduction to the concept of a transformation group using examples from different areas of mathematics. The book contains plenty of figures, as well as many exercises with hints and solutions, which help the reader to master the material."--Jacket | |
| 590 | |a *[spa] 2005315 | ||
| 650 | 0 | |a Algebraic topology |v Popular works |0 https://id.loc.gov/authorities/subjects/sh99001720 | |
| 650 | 0 | |a Algebraic topology |v Popular works | |
| 650 | 0 | |a Transformation groups |v Popular works |0 https://id.loc.gov/authorities/subjects/sh99001720 | |
| 650 | 0 | |a Transformation groups |v Popular works | |
| 650 | 7 | |a Algebraic topology |2 fast | |
| 650 | 7 | |a Transformation groups |2 fast | |
| 655 | 7 | |a Popular works |2 fast | |
| 700 | 1 | |a Chebotarevskiĭ, B. D |q (Boris Dmitrievich) |0 http://viaf.org/viaf/65856818 | |
| 700 | 1 | |a Chebotarevskiĭ, B. D |q (Boris Dmitrievich) |1 http://viaf.org/viaf/65856818 | |
| 700 | 1 | |a Chebotarevskiĭ, B. D |q (Boris Dmitrievich) | |
| 700 | 1 | |a Chebotarevskiĭ, B. D |q (Boris Dmitrievich) | |
| 830 | 0 | |a Student mathematical library ; |v v. 25 | |
| 830 | 0 | |a Student mathematical library |v v. 25 | |
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