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Fast Track to Differential Equations

Applications-Oriented—Comprehensible—Compact

Authors: Fässler, Albert

  • Application-oriented and understandable introduction to common Differential Equations
  • Renounces abstract evidence as far as possible
  • Offers a variety of examples from various fields
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  • ISBN 978-3-030-83450-0
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Hardcover $99.99
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About this Textbook

The second edition of this successful textbook includes a significantly extended chapter on Climate Change with an analysis of the CO2 budget. It also contains a completely new part on Epidemiology, treating the SEIR-model which describes the behavior and dynamics of epidemics. In particular, COVID-19 with actual data is discussed. This compact introduction to ordinary differential equations and their applications is aimed at anyone who in their studies is confronted voluntarily or involuntarily with this versatile subject. Numerous applications from physics, technology, biomathematics, cosmology, economy and optimization theory are given. Abstract proofs and unnecessary formalism are avoided as far as possible. The focus is on modelling ordinary differential equations of the first and second orders as well as their analytical and numerical solution methods, in which the theory is dealt with briefly before moving on to application examples. In addition, program codes show exemplarily how even more challenging questions can be tackled and represented meaningfully with the help of a computer algebra system. The first chapter deals with the necessary prior knowledge of integral and differential calculus. 103 motivating exercises together with their solutions round off the work.

 

“I am happy to see such a book. It will serve as a support for many students, professors and faculty.” 

 Dr. Alessio Figalli, Professor at the ETH Zürich and Fields medalist 2018

About the authors

Albert Fässler studied mathematics at the ETH Zürich (after a bachelor’s degree in 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 always been internationally active - sabbaticals have taken him to the USA and China. Since his retirement, he has repeatedly taught in China, India and Switzerland. He is a co-author of the book entitled Group Theoretical Methods and Their Applications.

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 (7 chapters)

Table of contents (7 chapters)
  • Prerequisites from Calculus

    Pages 1-37

    Fässler, Albert

  • First Order Differential Equations

    Pages 39-56

    Fässler, Prof. Dr. Albert

  • First Order Applications

    Pages 57-98

    Fässler, Albert

  • Second Order Differential Equations and Systems with Applications

    Pages 99-134

    Fässler, Albert

  • Numerical Methods with Applications

    Pages 135-165

    Fässler, Albert

Buy this book

eBook $79.99
price for USA in USD
  • ISBN 978-3-030-83450-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-3-030-83449-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Fast Track to Differential Equations
Book Subtitle
Applications-Oriented—Comprehensible—Compact
Authors
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-83450-0
DOI
10.1007/978-3-030-83450-0
Hardcover ISBN
978-3-030-83449-4
Edition Number
2
Number of Pages
XIV, 216
Number of Illustrations
72 b/w illustrations, 71 illustrations in colour
Additional Information
Translation from the German language edition: Schnelleinstieg Differentialgleichungen by Albert Fässler, © Springer Spektrum 2020. Published by Springer Berlin Heidelberg. All Rights Reserved.
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