Deep comprehension of applied sciences requires a solid knowledge of

Mathematical Analysis. For most of high level scientific research, the

good understanding of Functional Analysis and weak solutions to

differential equations is essential. This book aims to deal with the

main topics that are necessary to achieve such a knowledge. Still, this

is the goal of many other texts in advanced analysis; and then, what

would be a good reason to read or to consult this book? In order to

answer this question, let us introduce the three Authors. Alberto

Ferrero got his degree in Mathematics in 2000 and presently he is

researcher in Mathematical Analysis at the Università del Piemonte

Orientale. Filippo Gazzola got his degree in Mathematics in 1987 and he

is now full professor in Mathematical Analysis at the Politecnico di

Milano. Maurizio Zanotti got his degree in Mechanical Engineering in

2004 and presently he is structural and machine designer and lecturer

professor in Mathematical Analysis at the Politecnico di Milano.

The

three Authors, for the variety of their skills, decided to join their

expertises to write this book. One of the reasons that should encourage

its reading is that the presentation turns out to be a reasonable

compromise among the essential mathematical rigor, the importance of the

applications and the clearness, which is necessary to make the

reference work pleasant to the readers, even to the inexperienced ones.

The range of treated topics is quite wide and covers the main basic

notions of the scientific research which is based upon mathematical

models. We start from vector spaces and Lebesgue integral to reach the

frontier of theoretical research such as the study of critical exponents

for semilinear elliptic equations and recent problems in fluid

dynamics. This long route passes through the theory of Banach and

Hilbert spaces, Sobolev spaces, differential equations, Fourier and

Laplace transforms, before which we recall some appropriate tools of

Complex Analysis. We give all the proofs that have some didactic or

applicative interest, while we omit the ones which are too technical or

require too high level knowledge. This book has the ambitious purpose to

be useful to a broad variety of readers. The first possible

beneficiaries are of course the second or third year students of a

scientific course of degree: in what follows they will find the topics

that are necessary to approach more advanced studies in Mathematics and

in other fields, especially Physics and Engineering. This text could be

also useful to graduate students who want to start a Ph.D. course:

indeed it contains the matter of a multidisciplinary Ph.D. course given

by Filippo Gazzola for several years at Politecnico di Milano. Finally,

this book could be addressed also to the ones who have already left

education far-back but occasionally need to use mathematical tools: we

refer both to university professors and their research, and to

professionals and designers who want to model a certain phenomenon, but

also to the nostalgics of the good old days when they were students. It

is precisely for this last type of reader that we have also reported

some elementary topics, such as the properties of numerical sets and of

the integrals; moreover, every chapter is provided with examples and

specific exercises aimed at the involvement of the reader.

▅▅▅▅▅▅▅ ** Details:** ▅▅▅▅▅▅▅

**ISBN :** 9788874888955

**Language :** English

**Formats :** epub ,

mobi , PDF

Once your payment has been received, we send your download link earliest possible moment. Understanding we are all in different time zones, we will do our best to deliver well within 24 hours. If there be congestion or a network downage of any kind just know we are doing the best to get your product delivered a.s.a.p.

This is a digital product. A return policy is not offered on this product. A refund policy is not offered on this product. The download link is verified before sending to you, to be 100% sure it’s a working link.