most recent 30 from http://mathoverflow.net 2013-05-20T13:28:24Z http://mathoverflow.net/feeds/question/7772 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/7772/applied-mathematics-books-graduate-level psihodelia 2009-12-04T12:42:51Z 2011-04-23T02:50:57Z

<p>What are some good graduate level books on applied mathematics which explain in-depth the general modern problem-solving methods of the real-world typical hard problems? </p> <p>There is a lot of books on numerical methods, engineering math, but I do not know any good modern book, which emphasizes algorithmic complexity of the discussed problems.</p>

http://mathoverflow.net/questions/7772/applied-mathematics-books-graduate-level/7777#7777 Steven Gubkin 2009-12-04T15:11:00Z 2009-12-04T15:11:00Z

<p><a href="http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=9780521664820" rel="nofollow">This</a> book by Erica Flapan relating chemistry and algebraic topology was of use to my wife when she has writing her undergrad thesis. It seems like it might qualify.</p>

http://mathoverflow.net/questions/7772/applied-mathematics-books-graduate-level/7779#7779 Steve Huntsman 2009-12-04T15:15:24Z 2009-12-04T15:15:24Z

<p>Modern Computer Algebra by von zur Gathen <a href="http://www.amazon.com/Modern-Computer-Algebra-Joachim-Gathen/dp/0521641764" rel="nofollow">http://www.amazon.com/Modern-Computer-Algebra-Joachim-Gathen/dp/0521641764</a></p> <p>Topology for Computing by Zomorodian <a href="http://www.amazon.com/Computing-Cambridge-Monographs-Computational-Mathematics/dp/0521836662/ref=sr_1_2?ie=UTF8&amp;s=books&amp;qid=1259939528&amp;sr=1-2" rel="nofollow">http://www.amazon.com/Computing-Cambridge-Monographs-Computational-Mathematics/dp/0521836662/ref=sr_1_2?ie=UTF8&amp;s=books&amp;qid=1259939528&amp;sr=1-2</a></p>

http://mathoverflow.net/questions/7772/applied-mathematics-books-graduate-level/7810#7810 J W 2009-12-04T20:10:38Z 2009-12-04T20:10:38Z

<p>Geometric Fundamentals of Robotics by Selig applies algebraic and differential geometry to problems in robotics.</p> <p>Computational Homology by Kaczynski et al has applications of homology to image processing and nonlinear dynamics.</p> <p>Robert Ghrist, <a href="http://www.math.uiuc.edu/~ghrist/" rel="nofollow">http://www.math.uiuc.edu/~ghrist/</a>, applies topology to problems in engineering, including robotics and sensor networks.</p>

http://mathoverflow.net/questions/7772/applied-mathematics-books-graduate-level/9314#9314 Ryan Williams 2009-12-18T21:09:56Z 2009-12-18T21:09:56Z

<p>Since the question was tagged with "algorithms", I will give an algorithms recommendation. (You don't say specifically what type of problems you want to solve, but you do mention "algorithmic complexity.") For a book that was written to motivate the theory of algorithms from real-world problems, I would recommend Algorithm Design by Kleinberg and Tardos. It discusses many problem-solving methods. From the website for the book:</p> <blockquote> <p>Algorithm Design introduces algorithms by looking at the real-world problems that motivate them. In a clear, straight-forward style, Kleinberg and Tardos teaches students to analyze and define problems for themselves and from this, to recognize which design principles are appropriate for a given situation. The text encourages a greater understanding of the algorithm design process and an appreciation of the role of algorithms in the broader field of computer science. </p> </blockquote> <p>Amazon link: <a href="http://www.amazon.com/Algorithm-Design-Jon-Kleinberg/dp/0321295358" rel="nofollow">http://www.amazon.com/Algorithm-Design-Jon-Kleinberg/dp/0321295358</a></p>

http://mathoverflow.net/questions/7772/applied-mathematics-books-graduate-level/62697#62697 Xiao 2011-04-23T02:50:57Z 2011-04-23T02:50:57Z

<p>Derivations of Applied Mathematicsis a book of applied mathematical proofs. If you have seen a mathematical result, if you want to know why the result is so, you can look for the proof here</p>