Fast track to differential equations : applications-oriented - comprehensible - compact / Albert Fässler.

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Fast track to differential equations : applications-oriented - comprehensible - compact / Albert Fässler.

Schnelleinstieg Differentialgleichungen. English

Second edition.

9783030834500 (electronic bk.)
3030834506 (electronic bk.)
9783030834494
3030834492

Cham : Springer, [2021]

©2021

English

Translated from German.

1 online resource : illustrations (some color)

10.1007/978-3-030-83450-0 doi

QA371 .F3713 2021

515/.35

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.

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed October 14, 2021).

Print version: 9783030834494

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