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Brendan Fong, David I Spivak, 2018, 243 pp, 2. Richard L Amoroso, 2018, 140 pp, 6. Oscar Sheynin, 2017, 316 pp, 1. Juan Garcia-Bellido, 2005, 76 pp, 1. Pete Kaslik, 2018, 310 pp, 4. Chongrak Polprasert, 2007, 538 pp, 8. Canadian Agency for Drugs and Technologies in Health, 2017, 206 pp, 2.

National Academies Press, 2017, 172 pp, 2. Steven Ellingson, 2018, 224 pp, 8. Keith Nicholson, 2018, 698 pp, 5. Yue Mo, 2012, 118 pp, 1. Laurence Josephine Rabotovao, 2017, 137 pp, 3. Chris Bourke, 2017, 643 pp, 2.

Stephen Wiggins, 2017, 146 pp, 1. Wilf, Doron Zeilberger, 1996, 217 pages, 1. Ton Kloks, Yue-Li Wang, 2013, 178 pp, 1. John Scherk, 2000, 419 pages, 1. Leonard Soicher, Franco Vivaldi, 2004, 94 pages, 0.

Jean Gallier, 1999, 502 pp, 2. Oscar Levin, 2017, 345 pp, 1. Ian Craw, 2002, 151 pages, 1. Thomas Hales, 2013, 45 pp, 3. University of Newcastle upon Tyne, 2003, 62 pages, 0.

Mark Embree, 2012, 207 pp, 4. Yousef Saad, 2011, 285 pp, 2. James Hein, 2005, 160 pages, 0. Ivo Duentsch, Guenther Gediga, 2000, 108 pages, 1. Harris Kwong, 2015, 307 pp, 1. Please forward this error screen to 216.

Alembert mystery of drag in an inviscid flow, the Sommerfeld mystery of transition to turbulence in shear flow, and the Loschmidt mystery of violation of the 2nd law of thermodynamics. This book has its own dedicated homepage where we make movies available from the many computations in the book, which we hope will be entertaining as well as lead to new insights. Since our approach is new, and may also be considered controversal by some, at the homepage of the book we open for a free debate on these very important questions that are fundamental for both mathematics and fluid dynamics. We further argue that this paradigm shift must lead to a corresponding paradigm shift in mathematics education on all levels. The backbone of the book is a general methodology for the numerical solution of differential equations based on Galerkin’s method using piecewise polynomial approximation. The book is a substantial revision of the successful text Numerical Solution of Partial Differential Equations by the Finite Element Method by C. It begins with a constructive proof of the Fundamental Theorem of Calculus that illustrates the close connection between integration and numerical quadrature and introduces basic issues in the numerical solution of differential equations including piecewise polynomial approximation and adaptive error control.

This text is suitable for courses in mathematics, science, and engineering ranging from calculus, linear algebra, differential equations to specialized courses on computational methods for differential equations. The book is written in an accessible style and includes all of the necessary background material from calculus, linear algebra, numerical analysis, mechanics, and physics. We now differentiate between the requirements for new and revised submissions. You may choose to submit your manuscript as a single Word or PDF file to be used in the refereeing process. Only when your paper is at the revision stage, will you be requested to put your paper in to a ‘correct format’ for acceptance and provide the items required for the publication of your article.

To find out more, please visit the Preparation section below. You can use this list to carry out a final check of your submission before you send it to the journal for review. Please check the relevant section in this Guide for Authors for more details. Referee suggestions and contact details provided, based on journal requirements For further information, visit our Support Center. Please see our information pages on Ethics in publishing and Ethical guidelines for journal publication. Authors must disclose any interests in two places: 1.

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