An 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 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

Produk Detail:

  • Author : Carmen Chicone
  • Publisher : Academic Press
  • Pages : 878 pages
  • ISBN : 0128041544
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKAn Invitation to Applied Mathematics

An Invitation to Applied Mathematics

An Invitation to Applied Mathematics
  • Author : Carmen Chicone
  • Publisher : Academic Press
  • Release : 24 September 2016
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 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 : 06 November 2012
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 Abstract Mathematics

An Invitation to Abstract Mathematics
  • Author : Béla Bajnok
  • Publisher : Springer Science & Business Media
  • Release : 13 May 2013
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,

An Invitation to Knot Theory

An Invitation to Knot Theory
  • Author : Heather A. Dye
  • Publisher : CRC Press
  • Release : 03 September 2018
GET THIS BOOKAn Invitation to Knot Theory

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes,

The Heart of Mathematics

The Heart of Mathematics
  • Author : Edward B. Burger,Michael Starbird
  • Publisher : Springer Science & Business Media
  • Release : 18 August 2004
GET THIS BOOKThe Heart of Mathematics

Hallmark features include: * A focus on the important ideas of mathematics that students will retain long after their formal studies are complete. * An engaging and humorous style, written to be read and enjoyed. * Ten Life Lessons that readers will apply beyond their study of mathematics. * Use of a variety of visualization techniques that direct students to model their thinking and to actively explore the world around them. New to this Edition: * A new chapter, Deciding Wisely: Applications of Rigorous Thought,

Invitation to Classical Analysis

Invitation to Classical Analysis
  • Author : Peter L. Duren
  • Publisher : American Mathematical Soc.
  • Release : 11 April 2021
GET THIS BOOKInvitation to Classical Analysis

This book gives a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of advanced calculus without appeal to more sophisticated techniques of complex analysis and Lebesgue integration. Among the topics covered are Fourier series and integrals, approximation theory, Stirling's formula, the gamma function, Bernoulli numbers and polynomials, the Riemann zeta function, Tauberian theorems, elliptic integrals, ramifications of the Cantor set, and a theoretical discussion

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 : 09 March 2013
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.

Invitation to Partial Differential Equations

Invitation to Partial Differential Equations
  • Author : Maxim Braverman,Robert McOwen,Peter Topalov,Mikhail Shubin
  • Publisher : American Mathematical Soc.
  • Release : 13 May 2020
GET THIS BOOKInvitation to Partial Differential Equations

This book is based on notes from a beginning graduate course on partial differential equations. Prerequisites for using the book are a solid undergraduate course in real analysis. There are more than 100 exercises in the book. Some of them are just exercises, whereas others, even though they do require new ideas to solve them, provide additional important information about the subject.

A Mathematical Introduction to Compressive Sensing

A Mathematical Introduction to Compressive Sensing
  • Author : Simon Foucart,Holger Rauhut
  • Publisher : Springer Science & Business Media
  • Release : 13 August 2013
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

Invitation to Discrete Mathematics

Invitation to Discrete Mathematics
  • Author : Ji%rí Matousek,Jaroslav Ne%set%ril
  • Publisher : Oxford University Press
  • Release : 11 April 2021
GET THIS BOOKInvitation to Discrete Mathematics

Invitation to Discrete Mathematics is an introduction and a thoroughly comprehensive text at the same time. A lively and entertaining style with mathematical precision and maturity uniquely combine into an intellectual happening and should delight the interested reader. A master example of teaching contemporary discrete mathematics, and of teaching science in general.

Princeton Companion to Applied Mathematics

Princeton Companion to Applied Mathematics
  • Author : Nicholas J. Higham
  • Publisher : Princeton University Press
  • Release : 09 September 2015
GET THIS BOOKPrinceton Companion to Applied Mathematics

This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other

Invitation to Linear Operators

Invitation to Linear Operators
  • Author : Takayuki Furuta
  • Publisher : CRC Press
  • Release : 26 July 2001
GET THIS BOOKInvitation to Linear Operators

Most books on linear operators are not easy to follow for students and researchers without an extensive background in mathematics. Self-contained and using only matrix theory, Invitation to Linear Operators: From Matricies to Bounded Linear Operators on a Hilbert Space explains in easy-to-follow steps a variety of interesting recent results on linear operators on a Hilbert space. The author first states the important properties of a Hilbert space, then sets out the fundamental properties of bounded linear operators on a

Introduction to the Foundations of Applied Mathematics

Introduction to the Foundations of Applied Mathematics
  • Author : Mark H. Holmes
  • Publisher : Springer Science & Business Media
  • Release : 18 June 2009
GET THIS BOOKIntroduction to the Foundations of Applied Mathematics

FOAM. This acronym has been used for over ?fty years at Rensselaer to designate an upper-division course entitled, Foundations of Applied Ma- ematics. This course was started by George Handelman in 1956, when he came to Rensselaer from the Carnegie Institute of Technology. His objective was to closely integrate mathematical and physical reasoning, and in the p- cess enable students to obtain a qualitative understanding of the world we live in. FOAM was soon taken over by a young faculty member,