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In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Modern School Arithmetic, A Time-Tested Series Is Now Designed To Cover The School Requirements Of The Pre-Primary And Primary Schools. Books 1 To 5 Have Been Recently Revised To Suit The Present Day Needs Of The Teaching-Learning Process In Arithmetic. An Attractive And Colourful Book 0 Has Been Added To The Series. The Series Now Comes In A New User-Friendly, Colourful Format. The Unique Feature Of The Series Which Were The Rich Range Of Statement-Sums Has Been Reinforced To Help Children Master Computing Skill And Concept-Learning. Each Book Now Contains Additional Of Worked Out Problems, Exercises And Graded Revision Tests.
Modern School Arithmetic, A Time-Tested Series Is Now Designed To Cover The School Requirements Of The Pre-Primary And Primary Schools. Books 1 To 5 Have Been Recently Revised To Suit The Present Day Needs Of The Teaching-Learning Process In Arithmetic. An Attractive And Colourful Book 0 Has Been Added To The Series. The Series Now Comes In A New User-Friendly, Colourful Format. The Unique Feature Of The Series Which Were The Rich Range Of Statement-Sums Has Been Reinforced To Help Children Master Computing Skill And Concept-Learning. Each Book Now Contains Additional Of Worked Out Problems, Exercises And Graded Revision Tests.
Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC; and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)?
Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favorite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions are available from the authors.
Modern School Arithmetic, A Time-Tested Series Is Now Designed To Cover The School Requirements Of The Pre-Primary And Primary Schools. Books 1 To 5 Have Been Recently Revised To Suit The Present Day Needs Of The Teaching-Learning Process In Arithmetic. An Attractive And Colourful Book 0 Has Been Added To The Series. The Series Now Comes In A New User-Friendly, Colourful Format. The Unique Feature Of The Series Which Were The Rich Range Of Statement-Sums Has Been Reinforced To Help Children Master Computing Skill And Concept-Learning. Each Book Now Contains Additional Of Worked Out Problems, Exercises And Graded Revision Tests.
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