Mathematical Analysis II

Mathematical Analysis II PDF Author: Claudio Canuto
Publisher: Springer
ISBN: 3319127578
Category : Mathematics
Languages : en
Pages : 563

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Book Description
The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis.

Mathematical Analysis II

Mathematical Analysis II PDF Author: Claudio Canuto
Publisher: Springer
ISBN: 3319127578
Category : Mathematics
Languages : en
Pages : 563

Get Book Here

Book Description
The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis.

 PDF Author:
Publisher: Bib. Orton IICA / CATIE
ISBN:
Category :
Languages : en
Pages : 130

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Book Description


Quantum Probability and Applications II

Quantum Probability and Applications II PDF Author: Luigi Accardi
Publisher: Springer
ISBN: 3540395709
Category : Science
Languages : en
Pages : 541

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Book Description


Continuum Thermodynamics - Part Ii: Applications And Examples

Continuum Thermodynamics - Part Ii: Applications And Examples PDF Author: Krzysztof Wilmanski
Publisher: World Scientific
ISBN: 9814412392
Category : Science
Languages : en
Pages : 482

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Book Description
This second part of Continuum Thermodynamics is designed to match almost one-to-one the chapters of Part I. This is done so that the reader studying thermodynamics will have a deepened understanding of the subjects covered in Part I. The aims of the book are in particular: the illustration of basic features of some simple thermodynamical models such as ideal and viscous fluids, non-Newtonian fluids, nonlinear solids, interactions with electromagnetic fields, and diffusive porous materials. A further aim is the illustration of the above subjects by examples and simple solutions of initial and boundary problems as well as simple exercises to develop skills in the construction of interdisciplinary macroscopic models.

Resources in Education

Resources in Education PDF Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 820

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Book Description


Giuseppe Peano between Mathematics and Logic

Giuseppe Peano between Mathematics and Logic PDF Author: Fulvia Skof
Publisher: Springer Science & Business Media
ISBN: 8847018366
Category : Mathematics
Languages : en
Pages : 198

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Book Description
This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, a great attempt to systematise Mathematics in symbolic form.

Mathematics and Culture I

Mathematics and Culture I PDF Author: Michele Emmer
Publisher: Springer Science & Business Media
ISBN: 9783540017707
Category : Science
Languages : en
Pages : 372

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Book Description
A fascinating and insightful collection of papers on the strong links between mathematics and culture. The contributions range from cinema and theatre directors to musicians, architects, historians, physicians, graphic designers and writers. The text highlights the cultural and formative character of mathematics, its educational value, and imaginative dimension. These articles are highly interesting, sometimes amusing, and make excellent starting points for researching the strong connection between scientific and literary culture.

The Collected Mathematical Papers of Arthur Cayley

The Collected Mathematical Papers of Arthur Cayley PDF Author: Arthur Cayley
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 149

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Book Description


Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations PDF Author: B. Cockburn
Publisher: Springer
ISBN: 3540498044
Category : Mathematics
Languages : en
Pages : 446

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Book Description
This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.

Quantum Probability and Related Topics

Quantum Probability and Related Topics PDF Author: L. Accardi
Publisher: World Scientific
ISBN: 9789810211400
Category : Science
Languages : en
Pages : 390

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Book Description
Quantum Probability and Related Topics is a series of volumes based on material discussed at the various QP conferences. It aims to provide an update on the rapidly growing field of classical probability, quantum physics and functional analysis.