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An Invitation to Applied Mathematics

An Invitation to Applied Mathematics
  • Author : Carmen Chicone
  • Publsiher : Academic Press
  • Release : 24 September 2016
  • ISBN : 0128041544
  • Pages : 878 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKAn Invitation to Applied Mathematics

Summary:
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


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

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An Invitation to Mathematical Physics and Its History

An Invitation to Mathematical Physics and Its History
  • Author : Jont Allen
  • Publisher : Springer Nature
  • Release : 22 September 2020
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

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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.

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An Invitation to Abstract Mathematics

An Invitation to Abstract Mathematics
  • Author : Béla Bajnok
  • Publisher : Springer Nature
  • Release : 27 October 2020
GET THIS BOOKAn Invitation to Abstract Mathematics

This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. More than 300 exercises engage the reader in extensive arguments and creative approaches, while exploring connections between fundamental mathematical topics. Divided into four parts, this book begins with a playful exploration of the building blocks of mathematics, such as definitions, axioms, and proofs. A study of the fundamental concepts

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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 : 28 August 2007
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

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Invitation to Real Analysis

Invitation to Real Analysis
  • Author : César Ernesto Silva
  • Publisher : American Mathematical Soc.
  • Release : 26 June 2022
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.

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An Invitation to Statistics in Wasserstein Space

An Invitation to Statistics in Wasserstein Space
  • Author : Victor M. Panaretos,Yoav Zemel
  • Publisher : Springer Nature
  • Release : 10 March 2020
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

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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.

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Invitation to Classical Analysis

Invitation to Classical Analysis
  • Author : Peter Duren
  • Publisher : American Mathematical Soc.
  • Release : 26 June 2022
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

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Number Theory

Number Theory
  • Author : Don Redmond
  • Publisher : CRC Press
  • Release : 29 September 2020
GET THIS BOOKNumber Theory

This text provides a detailed introduction to number theory, demonstrating how other areas of mathematics enter into the study of the properties of natural numbers. It contains problem sets within each section and at the end of each chapter to reinforce essential concepts, and includes up-to-date information on divisibility problems, polynomial congruence, the sums of squares and trigonometric sums.;Five or more copies may be ordered by college or university bookstores at a special price, available on application.

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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

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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,

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Category Theory for the Sciences

Category Theory for the Sciences
  • Author : David I. Spivak
  • Publisher : MIT Press
  • Release : 17 October 2014
GET THIS BOOKCategory Theory for the Sciences

An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the

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