This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not “linear”. The central topic of inequalities is linked to others in mathematics. Often these topics relate to much more than algebraic inequalities. There are also “secret” pathways through the book. Each chapter has a subtext, a theme which prepares the student for learning other mathematical topics, concepts, or habits of mind. For example, the early chapters on the arithmetic mean/geometric mean inequality show how very simple observations can be leveraged to yield useful and interesting results. Later chapters give examples of how one can generalize a mathematical statement. The chapter on the Cauchy-Schwarz inequality provides an introduction to vectors as mathematical objects. And there are many other secret pathways that the authors hope the reader will discover—and follow. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
This work was partially supported by NSF grant 1262531 and a Royal Society Wolfson Research Merit Award. c2018 Mark Gross and Bernd Siebert 1More common seems to be the usage of characteristic, but 199 Proceedings of Symposia in Pure ...
This volume contains the proceedings of the conference String-Math 2015, which was held from December 31, 2015-January 4, 2016, at Tsinghua Sanya International Mathematics Forum in Sanya, China.
This comprehensive approach to the book gives it a 'user-friendly' style. Readers need not search elsewhere for various results. The book is suitable for use as a text for a topics course in algebraic geometry.
Richard M. Karp, Reducibility among combinatorial problems, Complexity of computer computations (Proc. ... MR779900 Daphne Koller and Nir Friedman, Probabilistic graphical models: Principles and techniques, Adaptive Computation and ...
... Dinesh N. Manocha, Xenia H. Kramer, Reinhard C. Laubenbacher, Rekha R. Thomas, John B. Little David A Cox, PH. ... [Laz2] |Lit] [Man1] References W. Adams and P. Loustaunau, Introduction to Gröbner Bases, AMS, Providence, RI, 1994.
The mast of Gale Stockdale's boat is 32 feet high . If it intercepts an angle of 2 ° 10 ' , how far away is it ? 28. A television tower 530 m high intercepts an angle of 2 ° 40 ' . How far away is the tower ? : Find the areas of each of ...
This book consists of expositions of aspects of modern Hodge theory, with the purpose of providing the nonexpert reader with a clear idea of the current state of the subject.
Examples of Robinson. In the late 1960s at Berkeley, Raphael M. Robinson [77, p. 264 saw “an unpublished example of a ternary sextic worked out recently by W. J. Ellison using Hilbert's method (see $3a). It is, as would be expected, ...
Mathematical Surveys and Monographs
|Raj J.H. Rawnsley, f-structures, f-twistor spaces and harmonic maps, Geometry seminar “Luigi Bianchi” II–1984, 85–159, Lecture Notes in Math., 1164, Springer, Berlin, 1985. [Rel W. Reichel, Uber die Trilinearen Alternierenden Formen in ...