The Chemistry Maths Book, Second Edition

650 Solutions to exercises 34.Q 1 = 15 y 1 2 1 + 13 y 2 2 1 + 13 y 3 2 1 + 1 y 4 2 , Section 19.5 39.(i)3 (ii)13 (ii ...

Solutions to exercises 651 (i)λ 1 = 1 − 28 (ii)x 1 = 1 −(28 1 + 15 z) 23 ,y 1 = 1 (34 1 + 12 z) 23 Section 20.8 33.x 1 = 1 ...

652 Solutions to exercises Section 21.7 (i) 3 a 2 1 − 12 a 3 (iii) (iv) 11 − 1 e − 2 R (1 1 + 12 R 1 + 12 R 2 ) (i) (ii) (i ...

Index Index Terms Links A Abel 50 525 Abelian group 525 527 abscissa 34 absolute error bound 559 absolute value of complex numbe ...

Index Terms Links algebraic (Cont.) number 6 Al-Kashi 9 200 Al-Khwarizmi 9 43 all space, integral over 302 allyl radical 487 alt ...

Index Terms Links arithmetic (Cont.) operation 14 17 operator 14 progression 192 rules of 14 series 196 Arrhenius 1 626 associat ...

Index Terms Links Barrow 96 127 base 9 16 80 base units 20 base vectors 452 458 463 Bell 377 Bernoullis 260 Bernoulli, Daniel 26 ...

Index Terms Links boundary conditions 345 352 396 400 410 periodic 244 347 356 399 403 boundary value problem 345 352 357 396 br ...

Index Terms Links change of constant variable 267 independent variables 268 of period 430 variables in integration 166 285 chang ...

Index Terms Links common denominator 5 common factor 7 37 commutation of scalar product 457 of vector addition 445 commutative l ...

Index Terms Links conjugate transpose matrix 552 consecutive transformations 519 conservation of angular momentum 466 of energy ...

Index Terms Links coordinates (Cont.) cylindrical polar 309 origin of 34 orthogonal 308 polar 77 spherical polar 294 300 coordin ...

Index Terms Links cyclopropene 556 cylindrical polar coordinates 309 D d’Alembert 206 207 392 532 595 d’Alembertian operator 313 ...

Index Terms Links derivative 96 higher 113 251 second 113 total 262 see also partial derivative Descartes 33 225 descriptive sta ...

Index Terms Links Dieterici equation 223 differences, method of 201 differencing errors 560 differentiable 100 differential 119 ...

Index Terms Links differentiation (Cont.) of implicit function 110 of inverse hyperbolic functions 109 by inverse rule 103 108 o ...

Index Terms Links discontinuity (Cont.) removable 98 discontinuous derivative 136 discontinuous function, integration of 136 dis ...

Index Terms Links distribution (Cont.) uniform 614 variance of 603 distributive law 14 of matrix multiplication 509 divergence o ...

Index Terms Links electrostatic energy 157 electrostatic potential 157 461 468 multipole expansion of 422 element symmetry 524 v ...

Index Terms Links equation(s) (Cont.) indicial 372 inhomogeneous 485 532 linear 41 linearly dependent 57 matrix eigenvalue 535 n ...