An Invitation to Applied Mathematics

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  • Publisher : Academic Press
  • Release : 24 September 2016
  • ISBN : 9780128041543
  • Page : 878 pages
  • Rating : 4.5/5 from 103 voters

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An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics. Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students. Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics. Presents an integrated wealth of modeling, analysis, and numerical methods in one volume Provides practical and comprehensible introductions to complex subjects, for example, conservation laws, CFD, SPH, BEM, and FEM Includes a rich set of applications, with more appealing problems and projects suggested

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An Invitation to Applied Mathematics

An Invitation to Applied Mathematics
  • Author : Carmen Chicone
  • Publisher : Academic Press
  • Release Date : 2016-09-24
  • ISBN : 9780128041543
GET THIS BOOKAn Invitation to Applied Mathematics

An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics. Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear

An Invitation to Applied Category Theory

An Invitation to Applied Category Theory
  • Author : Brendan Fong,David I. Spivak
  • Publisher : Cambridge University Press
  • Release Date : 2019-07-31
  • ISBN : 9781108482295
GET THIS BOOKAn Invitation to Applied Category Theory

Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.

An Invitation to 3-D Vision

An Invitation to 3-D Vision
  • Author : Yi Ma,Stefano Soatto,Jana Kosecká,S. Shankar Sastry
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-11-06
  • ISBN : 9780387217796
GET THIS BOOKAn Invitation to 3-D Vision

This book introduces the geometry of 3-D vision, that is, the reconstruction of 3-D models of objects from a collection of 2-D images. It details the classic theory of two view geometry and shows that a more proper tool for studying the geometry of multiple views is the so-called rank consideration of the multiple view matrix. It also develops practical reconstruction algorithms and discusses possible extensions of the theory.

An Invitation to Mathematical Physics and Its History

An Invitation to Mathematical Physics and Its History
  • Author : Jont Allen
  • Publisher : Springer Nature
  • Release Date : 2020-09-22
  • ISBN : 9783030537593
GET THIS BOOKAn Invitation to Mathematical Physics and Its History

This state of the art book takes an applications based approach to teaching mathematics to engineering and applied sciences students. The book lays emphasis on associating mathematical concepts with their physical counterparts, training students of engineering in mathematics to help them learn how things work. The book covers the concepts of number systems, algebra equations and calculus through discussions on mathematics and physics, discussing their intertwined history in a chronological order. The book includes examples, homework problems, and exercises. This

An Invitation to Abstract Mathematics

An Invitation to Abstract Mathematics
  • Author : Béla Bajnok
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-05-13
  • ISBN : 9781461466369
GET THIS BOOKAn Invitation to Abstract Mathematics

This undergraduate textbook is intended primarily for a transition course into higher mathematics, although it is written with a broader audience in mind. The heart and soul of this book is problem solving, where each problem is carefully chosen to clarify a concept, demonstrate a technique, or to enthuse. The exercises require relatively extensive arguments, creative approaches, or both, thus providing motivation for the reader. With a unified approach to a diverse collection of topics, this text points out connections,

Different Perspectives on Wavelets

Different Perspectives on Wavelets
  • Author : Ingrid Daubechies
  • Publisher : American Mathematical Soc.
  • Release Date : 1993
  • ISBN : 9780821855034
GET THIS BOOKDifferent Perspectives on Wavelets

The wavelet transform can be seen as a synthesis of ideas that have emerged since the 1960s in mathematics, physics, and electrical engineering. The basic idea is to use a family of 'building blocks' to represent in an efficient way the object at hand, be it a function, an operator, a signal, or an image. The building blocks themselves come in different 'sizes' which can describe different features with different resolutions. The papers in this book attempt to give some

An Invitation to Biomathematics

An Invitation to Biomathematics
  • Author : Raina Robeva,James R. Kirkwood,Robin Lee Davies,Leon Farhy,Boris P. Kovatchev,Martin Straume,Michael L. Johnson
  • Publisher : Academic Press
  • Release Date : 2007-08-28
  • ISBN : 0080550991
GET THIS BOOKAn Invitation to Biomathematics

Essential for all biology and biomathematics courses, this textbook provides students with a fresh perspective of quantitative techniques in biology in a field where virtually any advance in the life sciences requires a sophisticated mathematical approach. An Invitation to Biomathematics, expertly written by a team of experienced educators, offers students a solid understanding of solving biological problems with mathematical applications. This text succeeds in enabling students to truly experience advancements made in biology through mathematical models by containing computer-based hands-on

Chaos in Classical and Quantum Mechanics

Chaos in Classical and Quantum Mechanics
  • Author : Martin C. Gutzwiller
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-27
  • ISBN : 9781461209836
GET THIS BOOKChaos in Classical and Quantum Mechanics

Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Getting Acquainted with Homogenization and Multiscale

Getting Acquainted with Homogenization and Multiscale
  • Author : Leonid Berlyand,Volodymyr Rybalko
  • Publisher : Springer
  • Release Date : 2018-11-22
  • ISBN : 9783030017774
GET THIS BOOKGetting Acquainted with Homogenization and Multiscale

The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow.

Invitation to Real Analysis

Invitation to Real Analysis
  • Author : César Ernesto Silva
  • Publisher : American Mathematical Soc.
  • Release Date : 2019
  • ISBN : 9781470449285
GET THIS BOOKInvitation to Real Analysis

Preliminaries: Sets, functions and induction; The real numbers and the completeness property; Sequences; Topology of the real numbers and metric spaces; Continuous functions; Differentiable functions; Integration; Series; Sequences and series of functions; Solutions to questions; Bibliographical notes; Bibliography; Index.

An Excursion Through Discrete Differential Geometry

An Excursion Through Discrete Differential Geometry
  • Author : American Mathematical Society. Short Course, Discrete Differential Geometry
  • Publisher : American Mathematical Soc.
  • Release Date : 2020-09-02
  • ISBN : 9781470446628
GET THIS BOOKAn Excursion Through Discrete Differential Geometry

Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete

An Invitation to Algebraic Geometry

An Invitation to Algebraic Geometry
  • Author : Karen E. Smith,Lauri Kahanpää,Pekka Kekäläinen,William Traves
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • ISBN : 9781475744972
GET THIS BOOKAn Invitation to Algebraic Geometry

This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.

An Invitation to Statistics in Wasserstein Space

An Invitation to Statistics in Wasserstein Space
  • Author : Victor M. Panaretos,Yoav Zemel
  • Publisher : Springer Nature
  • Release Date : 2020-03-10
  • ISBN : 9783030384388
GET THIS BOOKAn Invitation to Statistics in Wasserstein Space

This open access book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, it also provides an accessible introduction to the fundamentals of this current topic, as well as an overview that will serve as an invitation and catalyst for further research. Statistics in Wasserstein spaces represents an emerging topic in mathematical statistics, situated at the interface between

Applied Mathematics and Computational Physics

Applied Mathematics and Computational Physics
  • Author : Aihua Wood
  • Publisher : Mdpi AG
  • Release Date : 2021-11-08
  • ISBN : 3036523057
GET THIS BOOKApplied Mathematics and Computational Physics

As faster and more efficient numerical algorithms become available, the understanding of the physics and the mathematical foundation behind these new methods will play an increasingly important role. This Special Issue provides a platform for researchers from both academia and industry to present their novel computational methods that have engineering and physics applications.

A Mathematical Introduction to Compressive Sensing

A Mathematical Introduction to Compressive Sensing
  • Author : Simon Foucart,Holger Rauhut
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-08-13
  • ISBN : 9780817649487
GET THIS BOOKA Mathematical Introduction to Compressive Sensing

At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, an explosion of research activity has already followed the theoretical results that highlighted the efficiency of the basic principles. The elegant ideas behind these principles are also