Volume 1 -- 1 What is Mathematics? -- 2 The Mathematics Laboratory -- 3 Introduction to Modeling -- 4 A Very Short Calculus Course -- 5 Natural Numbers and Integers -- 6 Mathematical Induction -- 7 Rational Numbers -- 8 Pythagoras and Euclid -- 9 What is a Function? -- 10 Polynomial functions -- 11 Combinations of functions -- 12 Lipschitz Continuity -- 13 Sequences and limits -- 14 The Square Root of Two -- 15 Real numbers -- 16 The Bisection Algorithm for f (x) = 0 -- 17 Do Mathematicians Quarrel?* -- 18 The Function y = xr -- 19 Fixed Points and Contraction Mappings -- 20 Analytic Geometry in ?2 -- 21 Analytic Geometry in ?3 -- 22 Complex Numbers -- 23 The Derivative -- 24 Differentiation Rules -- 25 Newton's Method -- 26 Galileo, Newton, Hooke, Malthus and Fourier -- References.
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یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilities of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. The authors are leading researchers in Computational Mathematics who have written various successful books.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9783642056598
قطعه
عنوان
Springer eBooks
عنوان اصلی به زبان دیگر
عنوان اصلي به زبان ديگر
(Volume 1)
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Chemistry-- Mathematics.
موضوع مستند نشده
Computer science-- Mathematics.
موضوع مستند نشده
Engineering mathematics.
موضوع مستند نشده
Global analysis (Mathematics).
موضوع مستند نشده
Mathematical physics.
موضوع مستند نشده
Mathematics.
موضوع مستند نشده
Matrix theory.
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )