Version: print (book)
2008, X, 616 p., Hardcover
ISBN: 978-0-387-31742-7
Series: Spectrum
Hardback (ISBN-13: 9780883855669)
Page extent: 325 pages
Size: 228 x 152 mm
Weight: 0.56 kg
This is a collection of gems from the literature of mathematics that shine as brightly today as when they first appeared in print - they deserve to be seen and admired. The selections include two opposing views on the purpose of mathematics, the strong law of small numbers, the treatment of calculus in the 1771 Encyclopaedia Britannica, several proofs that the number of legs on a horse is infinite, a deserved refutation of the ridiculous Euler-Diderot anecdote, the real story of π and the Indiana legislature, the reason why Theodorus stopped proving that square roots were irrational when he got to the square root of 17, an excerpt from Mathematics Made Difficult, a glimpse into the mind of a calculating prodigy, and much more. There will be something here for anyone interested in mathematics.
* Non-technical descriptions allow access for all to this fascinating material * Recreational mathematics master Underwood Dudley provides yet another stimulating mathematical exploration * Everyone will find something of interest in the many diverse aspects of mathematics covered
Paperback (ISBN-13: 9780521063487)
147 line figures 3 tables
Page extent: 460 pages
Size: 229 x 152 mm
Weight: 0.7 kg
This book on modern and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.
* Wide coverage, suitable for a standard introductory course worldwide * Easily readable, no gaps in proofs * Includes topics of interest to the professional specialist
1. Modules; 2. Free modules; 3. Injective modules; 4. Tensor products; 5. Certain important algebras; 6. Simple modules and primitive rings; 7. The Jacobson radical; 8. Subdirect product decompositions; 9. Primes and semiprimes; 10. Projective modules and more on Wedderburn theorems; 11. Direct sum decompositions; 12. Simple algebras; 13. Hereditary rings, free and projective modules; 14. Module constructions; 15. Categories and functors; 16. Module categories; 17. Flat modules; 18. Purity.
Version: print (book)
2008, X, 616 p., Hardcover
ISBN: 978-0-387-31742-7
The reference is alphabetically arranged to provide quick access to the
fundamental tools of statistical methodology and biographies of famous
statisticians. The more than 500 entries include definitions, history,
mathematical details, limitations, examples, references, and further readings.
All entries include cross-references as well as the key citations. The
back matter includes a timeline of statistical inventions. This reference
will be an enduring resource for locating convenient overviews about this
essential field of study.
Founder of the Master in Statistics program in 1989 for the University of Neuchatel in Switzerland, Professor Yadolah Dodge earned his Master in Applied Statistics from the Utah State University in 1970 and his Ph.D. in Statistics with minor in Biometry from the Oregon State University in 1973. He has published numerous articles and authored, co-authored and edited several books including Mathematical Programming in Statistics (John Wiley 1981, Classic Edition 1993), Analysis of Experiments with Missing Data (John Wiley 1985), Alternative Methods of Regression (John Wiley 1993), Premier Pas en Statistique (Springer 1999), Adaptive Regression (2000), The Oxford Dictionary of Statistical Terms (2003), Statistique: Dictionnaire encyclopedique (Springer 2004), and Optimisation appliquee (Springer 2005). Professor Dodge is an elected member of the International Statistical Institute and a Fellow of the Royal Statistical Society.
Acceptance Region.- Accuracy.- Algorithm.- Alternative hypothesis.- Analysis of binary data.- Analysis of categorical data.- Analysis of residuals.- Analysis of variance.- Anderson Oskar.- Anderson Theodore W.- Anderson-Darling test.- Arithmetic mean.- Arithmetic triangle.- ARMA models.- Arrangement.- Attributable risk.- Autocorrelation and partial autocorrelation.- Avoidable risk.