Search Results for "foundation-mathematics-modern-applications-of-mathematics"

Foundation Mathematics

Foundation Mathematics

  • Author: Dexter J. Booth
  • Publisher: Addison-Wesley Longman
  • ISBN: 9780201624199
  • Category: Mathematics
  • Page: 579
  • View: 3009
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By providing a clear and non-intimidating foundation in mathematics, this text sets out to develop engineering students' ability to handle basic mathematics with confidence. For use either as a self-teaching text or to accompany a lecture course, this book encourages mathematical understanding and develops manipulative skills through many worked examples, self-tests questions and exercises. This second edition includes many small improvements throughout the text and a new chapter on sets and probability providing the background to a course on statistics.

The History of Modern Mathematics: Institutions and applications

The History of Modern Mathematics: Institutions and applications

  • Author: David E. Rowe,John McCleary
  • Publisher: Academic Pr
  • ISBN: 9780125996624
  • Category: Mathematics
  • Page: 325
  • View: 5747
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Key Features * Mathematical institutions in France and Germany and their role in promoting applications * Relationship between mathematics and physics * Foundations of mathematics * Complex variable theory, geometry and topology * Geometry in the spirit of Klein's Erlangen program * Algebra and number theory * Formative influences on mathematics in the United States

Introduction to the Calculus of Variations and Control with Modern Applications

Introduction to the Calculus of Variations and Control with Modern Applications

  • Author: John A. Burns
  • Publisher: CRC Press
  • ISBN: 1466571403
  • Category: Mathematics
  • Page: 562
  • View: 5515
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Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions and discusses the importance of distinguishing between the necessary and sufficient conditions. In the first part of the text, the author develops the calculus of variations and provides complete proofs of the main results. He explains how the ideas behind the proofs are essential to the development of modern optimization and control theory. Focusing on optimal control problems, the second part shows how optimal control is a natural extension of the classical calculus of variations to more complex problems. By emphasizing the basic ideas and their mathematical development, this book gives you the foundation to use these mathematical tools to then tackle new problems. The text moves from simple to more complex problems, allowing you to see how the fundamental theory can be modified to address more difficult and advanced challenges. This approach helps you understand how to deal with future problems and applications in a realistic work environment.

Modern Mathematical Statistics with Applications

Modern Mathematical Statistics with Applications

  • Author: Jay L. Devore,Kenneth N. Berk
  • Publisher: Springer Science & Business Media
  • ISBN: 1461403901
  • Category: Mathematics
  • Page: 845
  • View: 9409
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Many mathematical statistics texts are heavily oriented toward a rigorous mathematical development of probability and statistics, without much attention paid to how statistics is actually used.. In contrast, Modern Mathematical Statistics with Applications, Second Edition strikes a balance between mathematical foundations and statistical practice. In keeping with the recommendation that every math student should study statistics and probability with an emphasis on data analysis, accomplished authors Jay Devore and Kenneth Berk make statistical concepts and methods clear and relevant through careful explanations and a broad range of applications involving real data. The main focus of the book is on presenting and illustrating methods of inferential statistics that are useful in research. It begins with a chapter on descriptive statistics that immediately exposes the reader to real data. The next six chapters develop the probability material that bridges the gap between descriptive and inferential statistics. Point estimation, inferences based on statistical intervals, and hypothesis testing are then introduced in the next three chapters. The remainder of the book explores the use of this methodology in a variety of more complex settings. This edition includes a plethora of new exercises, a number of which are similar to what would be encountered on the actuarial exams that cover probability and statistics. Representative applications include investigating whether the average tip percentage in a particular restaurant exceeds the standard 15%, considering whether the flavor and aroma of Champagne are affected by bottle temperature or type of pour, modeling the relationship between college graduation rate and average SAT score, and assessing the likelihood of O-ring failure in space shuttle launches as related to launch temperature.

Foundation Numeracy in Context

Foundation Numeracy in Context

  • Author: David Tout,Gary Motteram
  • Publisher: Aust Council for Ed Research
  • ISBN: 0864315163
  • Category: Education
  • Page: 143
  • View: 6595
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Foundation Numeracy in Context describes an approach to teaching mathematics based on applied and contextual learning principles. This means that the teaching and learning of mathematics proceeds from a contextual, task-based and investigative point of viewâwhere the mathematics involved is developed from a modelled situation or practical task. Practical investigations and projects are principle vehicles for student learning in such an approach. This text is written for teachers working with students who have become disengaged from learning mathematics during the middle to latter years of secondary schooling, and will likely have had limited success with mathematics. The approach used will be helpful for teachers of students who need a practical rather than formal mathematical background for their everyday life skills and further education, training or career aspirations. The text illustrates how this approach works through some sample contexts such as cars and driving, sport, cooking and catering, and draws together mathematics from the areas of number, measurement, space, data and statistics, and algebra. [Publisher].

A First Course in Applied Mathematics

A First Course in Applied Mathematics

  • Author: Jorge Rebaza
  • Publisher: John Wiley & Sons
  • ISBN: 1118229622
  • Category: Mathematics
  • Page: 439
  • View: 5106
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Explore real–world applications of selected mathematical theory, concepts, and methods Exploring related methods that can be utilized in various fields of practice from science and engineering to business, A First Course in Applied Mathematics details how applied mathematics involves predictions, interpretations, analysis, and mathematical modeling to solve real–world problems. Written at a level that is accessible to readers from a wide range of scientific and engineering fields, the book masterfully blends standard topics with modern areas of application and provides the needed foundation for transitioning to more advanced subjects. The author utilizes MATLAB® to showcase the presented theory and illustrate interesting real–world applications to Google′s web page ranking algorithm, image compression, cryptography, chaos, and waste management systems. Additional topics covered include: Linear algebra Ranking web pages Matrix factorizations Least squares Image compression Ordinary differential equations Dynamical systems Mathematical models Throughout the book, theoretical and applications–oriented problems and exercises allow readers to test their comprehension of the presented material. An accompanying website features related MATLAB® code and additional resources. A First Course in Applied Mathematics is an ideal book for mathematics, computer science, and engineering courses at the upper–undergraduate level. The book also serves as a valuable reference for practitioners working with mathematical modeling, computational methods, and the applications of mathematics in their everyday work.

Foundations of Mathematical Analysis

Foundations of Mathematical Analysis

  • Author: Saminathan Ponnusamy
  • Publisher: Springer Science & Business Media
  • ISBN: 0817682910
  • Category: Mathematics
  • Page: 570
  • View: 7688
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Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels. This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, exercises, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts. Foundations of Mathematical Analysis is intended for undergraduate students and beginning graduate students interested in a fundamental introduction to the subject. It may be used in the classroom or as a self-study guide without any required prerequisites.

Mathematical Thought From Ancient to Modern Times: Volume 3

Mathematical Thought From Ancient to Modern Times: Volume 3

  • Author: Morris Kline
  • Publisher: OUP USA
  • ISBN: 9780195061376
  • Category: Mathematics
  • Page: 399
  • View: 1078
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Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times

Applications of Group Theory in Physics and Mathematical Physics

Applications of Group Theory in Physics and Mathematical Physics

  • Author: MoshŽ Flato,Paul Sally,Gregg Zuckerman
  • Publisher: American Mathematical Soc.
  • ISBN: 9780821896860
  • Category: Science
  • Page: 420
  • View: 2420
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The past decade has seen a renewal in the close ties between mathematics and physics. The Chicago Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, held in July, 1982, was organized to bring together a broad spectrum of scientists from theoretical physics, mathematical physics, and various branches of pure and applied mathematics in order to promote interaction and an exchange of ideas and results in areas of common interest. This volume contains the papers submitted by speakers at the Seminar. The reader will find several groups of articles varying from the most abstract aspects of mathematics to a concrete phenomenological description of some models applicable to particle physics. The papers have been divided into four categories corresponding to the principal topics covered at the Seminar. This is only a rough division, and some papers overlap two or more of these categories.

Mathematical Foundations and Biomechanics of the Digestive System

Mathematical Foundations and Biomechanics of the Digestive System

  • Author: Roustem N. Miftahof,Hong Gil Nam
  • Publisher: Cambridge University Press
  • ISBN: 1139485776
  • Category: Technology & Engineering
  • Page: N.A
  • View: 1033
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Mathematical modelling of physiological systems promises to advance our understanding of complex biological phenomena and pathophysiology of diseases. In this book, the authors adopt a mathematical approach to characterize and explain the functioning of the gastrointestinal system. Using the mathematical foundations of thin shell theory, the authors patiently and comprehensively guide the reader through the fundamental theoretical concepts, via step-by-step derivations and mathematical exercises, from basic theory to complex physiological models. Applications to nonlinear problems related to the biomechanics of abdominal viscera and the theoretical limitations are discussed. Special attention is given to questions of complex geometry of organs, effects of boundary conditions on pellet propulsion, as well as to clinical conditions, e.g. functional dyspepsia, intestinal dysrhythmias and the effect of drugs to treat motility disorders. With end of chapter problems, this book is ideal for bioengineers and applied mathematicians.