Includes new and classical methods to prove algebraic inequalities Most of inequalities are either created by the authors or have authorprepared-proofs Serves as a unique tool for readers to most effectively maximize learning potential This unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providingreaders with new and classical methods for proving algebraic inequalities.
Due 2018-06-13 1st ed. 2018, IX, 239 p.
Hardcover ISBN 978-3-319-77835-8
Presents applications in molecular and cellular biology, biophysics, as well as computational neuroscience Contains over 100 figures Includes bibliographical notes This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.
Due 2018-05-19 1st ed. 2018, XIX, 427 p. 103 illus., 56 illus. in color.
Hardcover ISBN 978-3-319-76894-6
Written by an expert in the field Presents the real and p-adic theories together in one volume Contains an up-to-date bibliography This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields. Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs), non-classical pseudodifferential BVPs, wavelets and Hardy spaces, wavelet integral operators, and wavelet solutions to Cauchy problems over the real field and the p-adic field.
Due 2018-06-06 1st ed. 2018, VII, 340 p.
Hardcover ISBN 978-3-319-77472-5
Features both survey and research articles Covers a diverse numbers of topics in probability and stochastic processes This volume contains the proceedings of the XII Symposium of Probability and Stochastic Processes which took place at Universidad Autonoma de Yucatan in Merida, Mexico, on November 16?20, 2015. This meeting was the twelfth meeting in a series of ongoing biannual meetings aimed at showcasing the research of Mexican probabilists as well as promote new collaborations between the participants. The book features articles drawn from different research areas in probability and stochastic processes, such as: risk theory, limit theorems, stochastic partial differential equations, random trees, stochastic differential games, stochastic control, and coalescence. Two of the main manuscripts survey recent developments on stochastic control and scaling limits of Markov-branching trees, written by Kazutoshi Yamasaki and Benedicte Haas, respectively. The research-oriented manuscripts provide new advances in active research fields in Mexico. The wide selection of topics makes the book accessible to advanced graduate students and researchers in probability and stochastic processes.
Due 2018-05-31 1st ed. 2018, Approx. 200 p.
Hardcover ISBN 978-3-319-77642-2
Introduces several mathematical techniques relevant to solving boundary value problems involving nonlinear elliptic PDEs Provides the essentials of test-function and distribution spaces Includes 44 exercises and problems This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
Due 2018-06-11 1st ed. 2018, VIII, 234 p. 34 illus., 23 illus. in color.
Softcover ISBN 978-3-319-78389-5