'... one of the very few good books that centres on the rigorous mathematical theory of vorticity and incompressible flow ... extremely well written and compelling reading ... the contents and the cost of this book certainly makes it a good purchase for experienced theoretical fluid dynamists'. D. B. Ingham, Contemporary Physics 'This book is destined to become a classic ... Majda and Bertozzi have produced a formidable and extremely well-written book on this subject that throws out a series of challenges to the modern student ... This is the standard to which the rest of us need to aspire.' Journal of Fluid Mechanics '... a masterpiece of applied mathematics.' Zeitschrift fur Angewandte Mathematik und Mechanik