Fast Track to Differential Equations
Description
This compact introduction to the ordinary differential equations and their applications is aimed at anyone who, in their studies, is confronted voluntarily or involuntarily with this versatile subject. Numerous examples from physics, technology, biomathematics, cosmology, economy and optimization allow a quick and motivating approach - abstract proofs and unnecessary formalism are avoided as far as possible. In the foreground is the modelling of ordinary differential equations of the 1st and 2nd order as well as their analytical and numerical solution methods, in which the theory is briefly dealt with before the application examples. In addition, codes show exemplarily how even more demanding questions can be answered and meaningfully represented with the help of a computer algebra system. In the first chapter the necessary previous knowledge from integral and differential calculus is treated. A large number of exercises including solutions round off the work.
Reviews / Votes
"The book, "Fast Track to Differential Equations, Applications - Oriented - Comprehensible - Compact", Springer Verlag (2019) by Prof. A. F"assler is the English culmination of the author's years of successful teaching of the subject of Ordinary Differential Equations in Switzerland. For completeness, the first chapter gives a review of Calculus, exponential and logarithmic functions. Right from the beginning, meaningful applications and exercises are furnished. Subsequent chapters are: First Order Equations, First Order Applications, Second Order Equations and Systems with Applications, Numerical Methods with Applications. The strong point of the book is the wealth of applications. It is written with very good mathematical rigor. The references pertaining to the applications and exercises are veryenjoyable. Given the present day availability of software packages for solving specific differential equations and studying dynamical systems, these techniques are not a point of emphasis." (Dr. Eugene Allgower, Prof. em. for Mathematics, Colorado State University, Ft. Collin USA)
"I am glad to see such a book, it will be of support for many students and teachers." (Professor Alessio Figalli, ETH Zurich, Field Medaillist 2018)
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