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Intended as a companion for textbooks in mathematical methods for science and engineering, this book presents a large number of numerical topics and exercises together with discussions of methods for solving such problems using Mathematica(R). The accompanying CD contains Mathematica Notebooks for illustrating most of the topics in the text and for solving problems in mathematical physics. Although it is primarily designed for use with the author's "Mathematical Methods: For Students of Physics and Related Fields," the discussions in the book sufficiently self-contained that the book can be used as a supplement to any of the standard textbooks in mathematical methods for undergraduate students of physical sciences or engineering.
List of contents
Mathematica in a Nutshell.- Vectors and Matrices in Mathematica.- Integration.- Infinite Series and Finite Sums.- Numerical Solutions of ODEs: Theory.- Numerical Solutions of ODEs: Examples Using Mathematica.
Summary
Intended as a companion for textbooks in mathematical methods for science and engineering, this book presents a large number of numerical topics and exercises together with discussions of methods for solving such problems using Mathematica(R). Although it is primarily designed for use with the author's "Mathematical Methods: For Students of Physics and Related Fields," the discussions in the book sufficiently self-contained that the book can be used as a supplement to any of the standard textbooks in mathematical methods for undergraduate students of physical sciences or engineering.
Additional text
From the reviews:
"From a stylistic perspective the book strikes a comfortable balance between explanation and example which makes it easy to dip into and attractive to work through. For the eager reader there is always the promise of an interesting result after half an hour of labour. … The target audience of this book is likely to be a Physics undergraduate finishing his or her first year of study." (Dr. E. J. Grace, Contemporary Physics, Vol. 45 (2), 2004)
"Initially this book has been designed as a companion to the undergraduate textbook ‘Mathematical methods’ … and later on developed into a self-contained introduction to the use of computer algebra system (CAS) Mathematica tailored specifically for undergraduate students in physics and related fields. … The book is written in a transparent manner and does not require any prior knowledge of physics for mastering computational techniques. … thanks to a massive array of carefully selected and nicely explained examples from undergraduate physics." (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1028, 2004)
"This book is intended to be a companion for textbooks in mathematical methods for undergraduate science and engineering students. It presents a number of numerical topics and exercises together with discussions of methods needed for solving problems with Mathematica. … In conclusion, this very well produced and illustrated book is heartily recommended … ." (André Hautot, Gary J. Long, Physicalia, Vol. 26 (1), 2004)
Report
From the reviews:
"From a stylistic perspective the book strikes a comfortable balance between explanation and example which makes it easy to dip into and attractive to work through. For the eager reader there is always the promise of an interesting result after half an hour of labour. ... The target audience of this book is likely to be a Physics undergraduate finishing his or her first year of study." (Dr. E. J. Grace, Contemporary Physics, Vol. 45 (2), 2004)
"Initially this book has been designed as a companion to the undergraduate textbook 'Mathematical methods' ... and later on developed into a self-contained introduction to the use of computer algebra system (CAS) Mathematica tailored specifically for undergraduate students in physics and related fields. ... The book is written in a transparent manner and does not require any prior knowledge of physics for mastering computational techniques. ... thanks to a massive array of carefully selected and nicely explained examples from undergraduate physics." (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1028, 2004)
"This book is intended to be a companion for textbooks in mathematical methods for undergraduate science and engineering students. It presents a number of numerical topics and exercises together with discussions of methods needed for solving problems with Mathematica. ... In conclusion, this very well produced and illustrated book is heartily recommended ... ." (André Hautot, Gary J. Long, Physicalia, Vol. 26 (1), 2004)
