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Fast track to differential equations...

Fassler, Albert.

Fast track to differential equationsapplications - oriented - comprehensible - compact /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fast track to differential equationsby Albert Fassler.
其他題名:	applications - oriented - comprehensible - compact /
作者:	Fassler, Albert.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xiv, 216 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Differential equations.
電子資源:	https://doi.org/10.1007/978-3-030-83450-0
ISBN:	9783030834500$q(electronic bk.)

Fast track to differential equationsapplications - oriented - comprehensible - compact /
Fassler, Albert.

Fast track to differential equationsapplications - oriented - comprehensible - compact /[electronic resource] :by Albert Fassler. - Second edition. - Cham :Springer International Publishing :2021. - xiv, 216 p. :ill. (some col.), digital ;24 cm.

Prerequisites from Calculus -- First Order Differential Equations -- First Order Applications -- Second Order Differential Equations and Systems with Applications -- Numerical MethodsWith Applications -- Climate Change, Epidemiolgy, Signal Processing.

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.

Translated from German.

ISBN: 9783030834500$q(electronic bk.)

Standard No.: 10.1007/978-3-030-83450-0doiSubjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA371 / .F3713 2021

Dewey Class. No.: 515.35

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505 0 $a Prerequisites from Calculus -- First Order Differential Equations -- First Order Applications -- Second Order Differential Equations and Systems with Applications -- Numerical MethodsWith Applications -- Climate Change, Epidemiolgy, Signal Processing.
520 $a 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.
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