Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Linear and Complex Analysis for Applications (Hardcover)
Loot Price: R2,553
Discovery Miles 25 530
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Linear and Complex Analysis for Applications (Hardcover)
Series: Advances in Applied Mathematics
Expected to ship within 12 - 17 working days
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Total price: R2,573
Discovery Miles: 25 730
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Linear and Complex Analysis for Applications aims to unify various
parts of mathematical analysis in an engaging manner and to provide
a diverse and unusual collection of applications, both to other
fields of mathematics and to physics and engineering. The book
evolved from several of the author's teaching experiences, his
research in complex analysis in several variables, and many
conversations with friends and colleagues. It has three primary
goals: to develop enough linear analysis and complex variable
theory to prepare students in engineering or applied mathematics
for advanced work, to unify many distinct and seemingly isolated
topics, to show mathematics as both interesting and useful,
especially via the juxtaposition of examples and theorems. The book
realizes these goals by beginning with reviews of Linear Algebra,
Complex Numbers, and topics from Calculus III. As the topics are
being reviewed, new material is inserted to help the student
develop skill in both computation and theory. The material on
linear algebra includes infinite-dimensional examples arising from
elementary calculus and differential equations. Line and surface
integrals are computed both in the language of classical vector
analysis and by using differential forms. Connections among the
topics and applications appear throughout the book. The text weaves
abstract mathematics, routine computational problems, and
applications into a coherent whole, whose unifying theme is linear
systems. It includes many unusual examples and contains more than
450 exercises.
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