Fast Track to Differential Equations

Applications-Oriented – Comprehensible – Compact

Authors: Fassler, Albert

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  • Application-oriented and understandable introduction to common DGLen
  • Renounces abstract evidence as far as possible
  • Offers a variety of examples from various fields
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eBook 58,84 €
price for Spain (gross)
  • ISBN 978-3-030-23291-7
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 72,79 €
price for Spain (gross)
Softcover 51,99 €
price for Spain (gross)
About this Textbook

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.



About the authors

Prof. (em.) Dr. Albert Fässler studied mathematics at ETH Zurich after studying mechanical engineering and received his doctorate in 1976 with a thesis on applied group theory. In addition to his teaching activities at the ETHZ and his many years of teaching at the Bern University of Applied Sciences, he has also always been internationally active - research stays have taken him to the USA and China, among other places. Since his retirement, he has repeatedly taught in China, India and Switzerland.

Reviews

“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 very enjoyable. 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)

 

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook 58,84 €
price for Spain (gross)
  • ISBN 978-3-030-23291-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 72,79 €
price for Spain (gross)
Softcover 51,99 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Fast Track to Differential Equations
Book Subtitle
Applications-Oriented – Comprehensible – Compact
Authors
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-23291-7
DOI
10.1007/978-3-030-23291-7
Hardcover ISBN
978-3-030-23290-0
Softcover ISBN
978-3-030-23293-1
Edition Number
1
Number of Pages
XIV, 207
Number of Illustrations
102 b/w illustrations, 53 illustrations in colour
Additional Information
Translated from the German edition Schnelleinstieg Differentialgleichungen, Springer Spektrum, 2018
Topics