Algebraic Geometry (Graduate Texts in Mathematics)
Publisher: Springer | ISBN: 0387902449 | edition 1977 | PDF | 512 pages | 36,1 mb
Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the University of California at Berkeley. He is the author of “Residues and Duality” (1966), “Foundations of Projective Geometry (1968), “Ample Subvarieties of Algebraic Varieties” (1970), and numerous research titles. His current research interest is the geometry of projective varieties and vector bundles. He has been a visiting professor at the College de France and at Kyoto University, where he gave lectures in French and in Japanese, respectively. Professor Hartshorne is married to Edie Churchill, educator and psychotherapist, and has two sons. He has travelled widely, speaks several foreign languages, and is an experienced mountain climber. He is also an accomplished amateur musician: he has played the flute for many years, and during his last visit to Kyoto he began studying the shakuhachi. Read the rest of this entry
Geoffrey R. Grimmett, David R. Stirzaker, “Probability and Random Processes”
Oxford University Press, USA | 2001 | ISBN: 0198572220 | 608 pages | PDF | 6,4 MB
Review
“Since its first appearance in 1982, Probability and Random Processes has been a landmark book on the subject and has become mandatory reading for any mathematician wishing to understand chance.It is aimed mainly at final-year honours students and graduate students, but it goes beyond this level, and all serious mathematicians and academic libraries should own a copy … the companion book of exercises is cleverly conceived and … form(s) a perfect complement to the main text. ” Times Higher Education Supplement
… aims to be a full and comprehensive account of (almost all) the probability theory and stochastic processes one could hope to teach to undergraduates … Much new material has been included in this third edition to reflect recent developments in the subject … As well as its masterful coverage of the material, the book has many appealing stylistic features … extremely valuable in finding good proofs of theorems which are dealt with rather cursorily in other textbooks. The Mathematical Gazette One of the strong features of the book is its large collection of interesting exercises, which has been greatly expanded in this new edition so that there are now over one thousand exercises. These are conveniently collected together in a separate volume that includes full solutions. Read the rest of this entry
Martin Gardner, “Magic Numbers of Dr Matrix”
Prometheus Books | 1985 | ISBN: 0879752823 | 326 pages | PDF | 12,5 MB
In “The Magic Numbers of Dr. Matrix”, Martin Gardner introduces us to this extraordinary man, Dr. Irving Joshua Matrix. Believed by many to be the greatest numerologist who ever lived, Dr. Matrix claims to be a reincarnation of Pythagoras. He was, however, completely unknown to the scientific community until Gardner wrote about him in “Scientific American” in 1960.That first report and the subsequent ones that appeared with each new encounter are collected here in their entirety. We follow Dr. Matrix as he roams the world and assumes new identities and discovers new manifestations of the power of numbers to explain and predict and entertain. Always at his side is his beautiful Eurasian daughter, Iva, who abets and protects her father in each new adventure. As you delve into “The Magic Numbers of Dr Matrix”, you will master some significant combinatorial mathematics and number theory. The many remarkable puzzles of Dr. Matrix are all clearly answered in the back of the book, together with commentary and references by Gardner to enlighten the uninitiated and entertain the inquiring reader.
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McGraw-Hill ed., “Advanced Mathematical Concepts: Precalculus with Applications”
McGraw-Hill 2003 | ISBN-10: 0078608619 | 1169 Pages | PDF | 103 MB
Advanced Mathematical Concepts provides comprehensive coverage of all the topics covered in a full-year Precalculus course. Its unique unit organization readily allows for semester courses in Trigonometry, Discrete Mathematics, Analytic Geometry, and Algebra and Elementary Functions. Pacing and Chapter Charts for Semester Courses are conveniently located on page T4 of the Teacher Wraparound Edition.
Advanced Mathematical Concepts lessons develop mathematics using numerous examples, real-world applications, and an engaging narrative. Graphs, diagrams, and illustrations are used throughout to help students visualize concepts. Directions clearly indicate which problems may require the use of a graphing calculator.
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Elementary Probability for Applications By Rick Durrett
Publisher: Cambridge University Press 2009-07-31 | 254 Pages | ISBN: 0521867568 | PDF | 1.3 MB
This clear and lively introduction to probability theory concentrates on the results that are the most useful for applications, including combinatorial probability and Markov chains. Concise and focused, it is designed for a one-semester introductory course in probability for students who have some familiarity with basic calculus. Reflecting the author’s philosophy that the best way to learn probability is to see it in action, there are more than 350 problems and 200 examples. The examples contain all the old standards such as the birthday problem and Monty Hall, but also include a number of applications not found in other books, from areas as broad ranging as genetics, sports, finance, and inventory management.
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