Zdzislaw Brzezniak - Böcker

One service mathematics has rendered the 'Et moi, ...* si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aIle.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- sense'. The series is divergent; thererore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered com- puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Stochastic Navier-Stokes Equations on Spheres and Spherical Shells provides a systematic and self-contained introduction to both deterministic and stochastic Navier–Stokes equations on the unit sphere and spherical shells. It is intended for graduate students at the M.S. and Ph.D. levels, as well as researchers and scientists from any academic field interested in the Navier–Stokes equations and their applications to atmospheric science and global climate models.FeaturesIncludes established material alongside cutting-edge, never-before published resultsReplete with exercises and solutions, provided in-textCan be used as a textbook for MS and PhD students studying Navier-Stokes equations, while also serving as a valuable reference for professional researchers.

This book is a final year undergraduate text on stochastic processes, a tool used widely by statisticians and researchers working in the mathematics of finance. The book will give a detailed treatment of conditional expectation and probability, a topic which in principle belongs to probability theory, but is essential as a tool for stochastic processes. Although the book is a final year text, the author has chosen to use exercises as the main means of explanation for the various topics, and the book will have a strong self-study element. The author has concentrated on the major topics within stochastic analysis: Stochastic Processes, Markov Chains, Spectral Theory, Renewal Theory, Martingales and Ito Stochastic Processes.