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Training Manual on Transport and Fluids

John C. Neu University of California, Berkeley, Berkeley, CA
Available Formats:
Hardcover ISBN: 978-0-8218-4083-2
Product Code: GSM/109
List Price: $66.00 MAA Member Price:$59.40
AMS Member Price: $52.80 Electronic ISBN: 978-1-4704-1172-5 Product Code: GSM/109.E List Price:$62.00
MAA Member Price: $55.80 AMS Member Price:$49.60
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List Price: $99.00 MAA Member Price:$89.10
AMS Member Price: $79.20 Click above image for expanded view Training Manual on Transport and Fluids John C. Neu University of California, Berkeley, Berkeley, CA Available Formats:  Hardcover ISBN: 978-0-8218-4083-2 Product Code: GSM/109  List Price:$66.00 MAA Member Price: $59.40 AMS Member Price:$52.80
 Electronic ISBN: 978-1-4704-1172-5 Product Code: GSM/109.E
 List Price: $62.00 MAA Member Price:$55.80 AMS Member Price: $49.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$99.00 MAA Member Price: $89.10 AMS Member Price:$79.20
• Book Details

Volume: 1092010; 265 pp
MSC: Primary 35; 44; 76;

I have learned a lot from John Neu over the past years, and his book reflects very well his sense of style and purpose.

Walter Craig, McMaster University, Hamilton, Ontario, Canada and Fields Institute for Research in Mathematical Sciences, Toronto, Ontario, Canada

John Neu's book presents the basic ideas of fluid mechanics, and of the transport of matter, in a clear and reader-friendly way. Then it proposes a collection of problems, starting with easy ones and gradually leading up to harder ones. Each problem is solved with all the steps explained. In the course of solving these problems, many fundamental methods of analysis are introduced and explained. This is an ideal book for use as a text, or for individual study.

Joseph B. Keller, Stanford University

This book presents elementary models of transport in continuous media and a corresponding body of mathematical technique. Physical topics include convection and diffusion as the simplest models of transport; local conservation laws with sources as the general framework of continuum mechanics; ideal fluid as the simplest model of a medium with mass; momentum and energy transport; and finally, free surface waves, in particular, shallow water theory.

There is a strong emphasis on dimensional analysis and scaling. Some topics, such as physical similarity and similarity solutions, are traditional. In addition, there are reductions based on scaling, such as incompressible flow as a limit of compressible flow, and shallow water theory derived asymptotically from the full equations of free surface waves. More and deeper examples are presented as problems, including a series of problems that model a tsunami approaching the shore.

The problems form an embedded subtext to the book. Each problem is followed by a detailed solution emphasizing process and craftsmanship. The problems express the practice of applied mathematics as the examination and re-examination of simple but essential ideas in many interrelated examples.

Graduate students and research mathematicians interested in applications of PDE to physics, in particular, fluid dynamics.

• Part 1. Transport processes: the basic prototypes
• Chapter 1. Convection
• Chapter 2. Diffusion
• Chapter 3. Local conservation laws
• Part 2. Superposition
• Chapter 4. Superposition of point source solutions
• Chapter 5. $\delta$-functions
• Part 3. Scaling-based reductions in basic fluid mechanics
• Chapter 6. Ideal fluid mechanics
• Chapter 7. Free surface waves
• Chapter 8. Solution of the shallow water equations

• Reviews

• [T]he book tells stories in a very dynamic fashion, based on many problems with solutions, most of them having an important applicative content.

Thierry Goudon, Mathematical Reviews
• Requests

Review Copy – for reviewers who would like to review an AMS book
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 1092010; 265 pp
MSC: Primary 35; 44; 76;

I have learned a lot from John Neu over the past years, and his book reflects very well his sense of style and purpose.

Walter Craig, McMaster University, Hamilton, Ontario, Canada and Fields Institute for Research in Mathematical Sciences, Toronto, Ontario, Canada

John Neu's book presents the basic ideas of fluid mechanics, and of the transport of matter, in a clear and reader-friendly way. Then it proposes a collection of problems, starting with easy ones and gradually leading up to harder ones. Each problem is solved with all the steps explained. In the course of solving these problems, many fundamental methods of analysis are introduced and explained. This is an ideal book for use as a text, or for individual study.

Joseph B. Keller, Stanford University

This book presents elementary models of transport in continuous media and a corresponding body of mathematical technique. Physical topics include convection and diffusion as the simplest models of transport; local conservation laws with sources as the general framework of continuum mechanics; ideal fluid as the simplest model of a medium with mass; momentum and energy transport; and finally, free surface waves, in particular, shallow water theory.

There is a strong emphasis on dimensional analysis and scaling. Some topics, such as physical similarity and similarity solutions, are traditional. In addition, there are reductions based on scaling, such as incompressible flow as a limit of compressible flow, and shallow water theory derived asymptotically from the full equations of free surface waves. More and deeper examples are presented as problems, including a series of problems that model a tsunami approaching the shore.

The problems form an embedded subtext to the book. Each problem is followed by a detailed solution emphasizing process and craftsmanship. The problems express the practice of applied mathematics as the examination and re-examination of simple but essential ideas in many interrelated examples.

Graduate students and research mathematicians interested in applications of PDE to physics, in particular, fluid dynamics.

• Part 1. Transport processes: the basic prototypes
• Chapter 1. Convection
• Chapter 2. Diffusion
• Chapter 3. Local conservation laws
• Part 2. Superposition
• Chapter 4. Superposition of point source solutions
• Chapter 5. $\delta$-functions
• Part 3. Scaling-based reductions in basic fluid mechanics
• Chapter 6. Ideal fluid mechanics
• Chapter 7. Free surface waves
• Chapter 8. Solution of the shallow water equations
• [T]he book tells stories in a very dynamic fashion, based on many problems with solutions, most of them having an important applicative content.

Thierry Goudon, Mathematical Reviews
Review Copy – for reviewers who would like to review an AMS book
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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