000			a
999			_c30610 _d30610
008			220106b xxu||||| |||| 00| 0 eng d
020			_a9783030834494
082			_a515.35 _bFAS
100			_aFassler, Albert
245			_aFast track to differential equations : applications-oriented - comprehensible - compact
250			_a2nd ed.
260			_bSpringer, _c2021 _aCham :
300			_axiv, 216 p. ; _bill. (some color), _c25 cm
365			_b79.99 _cEUR _d88.70
504			_aIncludes bibliographical references. Translated from German.
520			_aThe 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.
650			_aDifferential equations
650			_aOrdinary Differential Equations
650			_aMathematics and Statistics
650			_aSEIR -model
650			_a Covid-19
650			_aComputer algebra system
650			_a Velocity
650			_aCalculus
650			_aNumerical methods
942			_2ddc _cBK