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Mathematical Analysis and the Mathematics of Computation, R?misch


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Автор: R?misch
Название:  Mathematical Analysis and the Mathematics of Computation
ISBN: 9783319427539
Издательство: Springer
Классификация:

ISBN-10: 3319427539
Обложка/Формат: Hardback
Страницы: 703
Вес: 1.25 кг.
Дата издания: 2016
Язык: English
Иллюстрации: 20 black & white illustrations, 32 colour illustrations, 33 colour tables, biography
Размер: 234 x 156 x 40
Читательская аудитория: Professional & vocational
Основная тема: Computer Science
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications.The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where its applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and then differential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations.This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present more advanced problems that shed light on interesting features, suitable for classroom seminars or study groups. It will be valuable for undergraduate and graduate students in mathematics, computer science, and related fields such as engineering. This is a rich field that has experienced enormous development in recent decades, and the book will also act as a reference for graduate students and practitioners who require a deeper understanding of the methodologies, techniques, and foundations.
Дополнительное описание: Sets, Structures, Numbers.- Metric Spaces.- Continuous Functions in Metric Spaces.- Linear Normed Spaces, Linear Operators.- The Differential Calculus.- Applications of the Differential Calculus.- The Integral Calculus.- Linear Integral Operators.- Inner



Recent Developments In Nonlinear Analysis - Proceedings Of The Conference In Mathematics And Mathematical Physics

Автор: Ammari Habib Et Al
Название: Recent Developments In Nonlinear Analysis - Proceedings Of The Conference In Mathematics And Mathematical Physics
ISBN: 9814295566 ISBN-13(EAN): 9789814295567
Издательство: World Scientific Publishing
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Цена: 23126.00 р.
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Описание: Contains a selection of contributions by mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco during the period of 28-30 October, 2008. This title covers both the theoretical and numerical aspects of nonlinear analysis.

Principles of Mathematical Analysis

Автор: Rudin
Название: Principles of Mathematical Analysis
ISBN: 0070856133 ISBN-13(EAN): 9780070856134
Издательство: McGraw-Hill
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Цена: 10123.00 р.
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Описание: Provides tools to design and implement network-orientated applications in .NET. Written in two languages C# and VB.NET, this book covers information on Telephony in .NET and packet-level networking. It also addresses real-world issues facing professional developers, such as using third-party components as opposed in-house development.

Dynamics of Mathematical Models in Biology: Bringing Mathematics to Life

Автор: Rogata, Zazzu
Название: Dynamics of Mathematical Models in Biology: Bringing Mathematics to Life
ISBN: 3319457225 ISBN-13(EAN): 9783319457222
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume focuses on contributions from both the mathematics and life science community surrounding the concepts of time and dynamicity of nature, two significant elements which are often overlooked in modeling process to avoid exponential computations. The book is divided into three distinct parts: dynamics of genomes and genetic variation, dynamics of motifs, and dynamics of biological networks. Chapters included in dynamics of genomes and genetic variation analyze the molecular mechanisms and evolutionary processes that shape the structure and function of genomes and those that govern genome dynamics. The dynamics of motifs portion of the volume provides an overview of current methods for motif searching in DNA, RNA and proteins, a key process to discover emergent properties of cells, tissues, and organisms. The part devoted to the dynamics of biological networks covers networks aptly discusses networks in complex biological functions and activities that interpret processes in cells. Moreover, chapters in this section examine several mathematical models and algorithms available for integration, analysis, and characterization. Once life scientists began to produce experimental data at an unprecedented pace, it become clear that mathematical models were necessary to interpret data, to structure information with the aim to unveil biological mechanisms, discover results, and make predictions. The second annual “Bringing Maths to Life” workshop held in Naples, Italy October 2015, enabled a bi-directional flow of ideas from and international group of mathematicians and biologists. The venue allowed mathematicians to introduce novel algorithms, methods, and software that may be useful to model aspects of life science, and life scientists posed new challenges for mathematicians.

Mathematics and Computation, a Contemporary View

Автор: Hans Munthe-Kaas; Brynjulf Owren
Название: Mathematics and Computation, a Contemporary View
ISBN: 3642088414 ISBN-13(EAN): 9783642088414
Издательство: Springer
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Цена: 13275.00 р.
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Описание: The 2006 Abel symposium focused on contemporary research involving interaction between computer science, computational science and mathematics. This volume presents a snapshot of current state-of-the-art, and raises questions about future research directions.

Mathematics and Computation in Music

Автор: Elaine Chew; Adrian Childs; Ching-Hua Chuan
Название: Mathematics and Computation in Music
ISBN: 3642023932 ISBN-13(EAN): 9783642023934
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book constitutes the refereed proceedings of the Second International Conference on Mathematics and Computation in Music, MCM 2009, held in New Haven, CT, USA, in June 2009. The papers deal with topics within applied mathematics, computational models, mathematical modelling and various further aspects of the theory of music.


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