The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions and Commentary (MAA Problem Book Series)

This third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics.

Science & Math

Vakil, Ravi

Kedlaya, Kiran S.

Poonen, Bjorn

Mathematics

The Mathematical Association of America

Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science. This book, the first comprehensive and unified introduction to the subject, improves and simplifies existing results as well as including original material. Based on a course given by the author at MIT, this modern treatment is accessible to graduate students and researchers. Exercises are included at the end of each chapter to help the reader review the material, and the author also provides detailed references to the literature to aid further study.

p-adic Differential Equations (Cambridge Studies in Advanced Mathematics, Vol. 125) (Cambridge Studies in Advanced Mathematics, Series Number 125)

Cambridge University Press

This third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics.

American Mathematical Society

Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of current research, highlighting analogies and links with the classical theory of ordinary differential equations. The author includes many original results which play a key role in the study of $P$-adic geometry, crystalline cohomology, $P$-adic Hodge theory, perfectoid spaces, and algorithms for L-functions of arithmetic varieties. This updated edition contains five new chapters, which revisit the theory of convergence of solutions of $P$-adic differential equations from a more global viewpoint, introducing the Berkovich analytification of the projective line, defining convergence polygons as functions on the projective line, and deriving a global index theorem in terms of the Laplacian of the convergence polygon.\nBook Description\nA detailed and unified treatment of $P$-adic differential equations, from the basic principles to the current frontiers of research.

p-adic Differential Equations (Cambridge Studies in Advanced Mathematics, Series Number 199)

See the best price to sell, buy, or rent books by Kedlaya, Kiran S.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Kedlaya, Kiran S.

See the best price to sell, buy, or rent books by Kedlaya, Kiran S.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions and Commentary (MAA Problem Book Series)

p-adic Differential Equations (Cambridge Studies in Advanced Mathematics, Vol. 125) (Cambridge Studies in Advanced Mathematics, Series Number 125)

The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions and Commentary (MAA Problem Book Series)

The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions and Commentary (MAA Problem Book Series)

p-adic Differential Equations (Cambridge Studies in Advanced Mathematics, Series Number 199)