pFrom the reviews:ppMain themes of the book are manifolds, fibre bundles and differential operators acting on sections of vector bundles. ??? A classical treatment of these topics starts with a coordinate description of a manifold M ??? . The present book is based on an alternative point of view, where calculus on manifolds is treated as a part of commutative algebra. ??? The book contains quite a few exercises and many useful illustrations. (EMS, September, 2004)pThe book provides a self-contained introduction to the theory of smooth manifolds and fibre bundles, oriented towards graduate students in mathematics and physics. The approach followed here, however, substantially differs from most textbooks on manifold theory. ??? This book is certainly quite interesting and may appeal even to people who merely want to study algebraic geometry, in the sense that they will gain extra insight here by the attention which is paid to making certain constructions in algebraic geometry physically or intuitively acceptable. (Willy Sarlet, Zentralblatt MATH, Vol. 1021, 2003) Smooth Manifolds and Observables is about the differential calculus, smooth manifolds, and commutative algebra. While these theories arose at different times and under completely different circumstances, this book demonstrates how they constitute a unified whole. The motivation behind this synthesis is the mathematical formalization of the process of observation in classical physics. The main objective of this book is to explain how differential calculus is a natural part of commutative algebra. This is achieved by studying the corresponding algebras of smooth functions that result in a general construction of the differential calculus on various categories of modules over the given commutative algebra. It is shown in detail that the ordinary differential calculus and differential geometry on smooth manifolds turns out to be precisely the particular case that corresponds to the category of geometr@B’ë…¸R ¾Û€

From the reviews: This book is devoted to the study of sheaves by microlocal methods..(it) may serve as a reference source as well as a textbook on this new subject. Houzel’s historical overview of the development of sheaf theory will identify important landmarks for students and will be a pleasure to read for specialists. Math. Reviews 92a (1992). The book is clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics.(…)The book can be strongly recommended to a younger mathematician enthusiastic to assimilate a new range of techniques allowing flexible application to a wide variety of problems. Bull. L.M.S. (1992)

Just-A-Minute Math, Gr 1-8

An alternative to the comprehensive algorithm texts in the market. One of the strengths of DasGupta is the math follows the algorithms. In addition to the text, DasGupta also offers a Solutions Manual, which is available on the Online Learning Center. This text, extensively class-tested over a decade at UC Berkeley and UC San Diego, explains the fundamentals of algorithms in a story line that makes the material enjoyable and easy to digest. Emphasis is placed on understanding the crisp mathematical idea behind each algorithm, in a manner that is intuitive and rigorous without being unduly formal. Features include: The use of boxes to strengthen the narrative: pieces that provide historical context, descriptions of how the algorithms are used in practice, and excursions for the mathematically sophisticated. Carefully chosen advanced topics that can be skipped in a standard one-semester course, but can be covered in an advanced algorithms course or in a more leisurely two-semester sequence. An accessible treatment of linear programming introduces students to one of the greatest achievements in algorithms. An optional chapter on the quantum algorithm for factoring provides a unique peephole into this exciting topic. Algorithms is an outstanding undergraduate text, equally informed by the historical roots and contemporary applications of its subject. Like a captivating novel, it is a joy to read. Tim Roughgarden Stanford University

PpbMarge Lial/bwas always interested in math; it was her favorite subject in the first grade! Marge’s intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor’s and Master’s degrees from California State University at Sacramento, is now affiliated with American River College./ppMarge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan./phrpbRaymond N. Greenwell/bearned a B.A. in Mathematics and Physics from the University of San Diego, and an M.S. in Statistics, an M.S. in AppliedMathematics, and a Ph.D. in Applied Mathematics from Michigan State University, where he earned the graduate student teaching award in 1979. After teaching at Albion College in Michigan for four years, he moved to Hofstra University in1983, where he currently is Professor of Mathematics./ppRaymond has published articles on fluid mechanics, mathematical biology, genetic algorithms, combinatorics, statistics, and undergraduate mathematics education. He is a member of MAA, AMS, SIAM, NCTM, and AMATYC. He is currently (2002-2005) governor of the Metropolitan New York Section of the MAA, as well as webmaster and liaison coordinator, and he received a distinguished service award from the Section in 2003. He is an outdoor enthusiast and leads trips in the Sierra Club’s Inner City Outings program./phrpbNathan P. Ritchey/bearned a B.A. in Mathematics with a minor in Music from Mansfield University of Pennsylvania. He earned a M.S. in Applied Mathematics and a Ph.D. in Mathematics from Carnegie Mellon University. He is currently a Professor ?ýG®záH ¾Û€

Studies have shown that your brain needs exercise. But hard brain teasers and number puzzles not only aren’t fun, they often don’t give a complete brain workout. That’s why we created the BrainReady BrainChallenge. You won’t find any trivia, math, or logic puzzles here – just creative exercises that exercise your visualization skills, memory, vocabulary, and reasoning. We’re not testing your knowledge, we’re working your neurons. The only thing you need is your mind and a pencil.

Lavishly illustrated and entertaining account of the surprising and useful results of the maths of folding and unfolding.

P style=MARGIN: 0pxBJohn Hornsby-/BWhen John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics, education, or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, all three of his goals have been realized; his love for teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum./PP style=MARGIN: 0pxJohn’s personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John’s other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons./PHRP style=MARGIN: 0pxBMarge Lial/B has always been interested in math; it was her favorite subject in the first grade! Marge’s intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor’s and Master’s degrees from California State University at Sacramento, is now affiliated with American River College./PP style=MARGIN: 0pxMarge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan./PHRP style=MARGIN: 0pxBGary R@3@

WE KNOW THE SATbrThe experts at The Princeton Review take the SAT and other standardized tests each year to make sure you get the most up-to-date, thoroughly researched books possible.brbrWE KNOW STUDENTSbrEach year we help more than two million students score high with our courses, bestselling books, and award-winning software:brbrWE GET RESULTSbrStudents who take our six-week SAT course have an average score increase of 140 points (verified by Roper Starch Worldwide). The proven techniques we teach in our courses are in this book.brbrAND IF IT’S ON THE SAT, IT’S IN THIS BOOKbrThe Princeton Review realizes that acing the SAT is very different from getting straight As in school. We don’t try to teach you everything there is to know about math and English–only the techniques that you need to score high on the SAT. There’s a big difference. In Cracking the SAT & PSAT, we’ll teach you how to think like the test makers and:brbr*Eliminate answer choices that look right but are planted to fool youbr*Solve SAT analogies when you’re not sure what all the words meanbr*Tackle verbal problems by using clues in the questionsbr*Crack SAT algebra by “plugging in” numbers in place of lettersbr*Ace the geometry problems by “guesstimating” and “sketching”brbrThis book includes two full-length diagnostic exams that will predict your score on both the SAT and PSAT. The questions in these tests are exactly like the ones you’ll find on the real SAT, and we fully explain every solution.brbrIncludes four full-length sample SATs on a Windows and Macintosh CD-ROM, plus the assessment tests in the book! Quick feedback–predict your SAT score instantly.Adam Robinson was born in 1955. He graduated from Wharton before earning a law degree at Oxford University in England. Robinson devised and perfected the now-famous “Joe Bloggs&q?ð

Through real-life situations, children will be introduced to the vocabulary of math words and symbols. Fundamental vocabulary such as greater than and less than, and the meaning of symbols such as +, _, =, are all explained with engaging photographs and easy-to-understand text.