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Principles Of Mathematics

Author: Vladimir Lepetic
Publisher: John Wiley & Sons
ISBN: 1119131650
Size: 60.88 MB
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Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: Detailed explanations of important theorems and their applications Hundreds of completely solved problems throughout each chapter Numerous exercises at the end of each chapter to encourage further exploration Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences.

A Cultural History Of Modern Science In China

Author: Benjamin A. Elman
Publisher: Harvard University Press
ISBN: 9780674023062
Size: 62.21 MB
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In A Cultural History of Modern Science in China, Elman has retold the story of the Jesuit impact on late imperial China, circa 1600-1800, and the Protestant era in early modern China from the 1840s to 1900 in a concise and accessible form ideal for the classroom.

A Math Primer For Engineers

Author: C.W. Cryer
Publisher: IOS Press
ISBN: 1614992991
Size: 19.33 MB
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Mathematics and engineering are inevitably interrelated, and this interaction will steadily increase as the use of mathematical modelling grows. Although mathematicians and engineers often misunderstand one another, their basic approach is quite similar, as is the historical development of their respective disciplines. The purpose of this Math Primer is to provide a brief introduction to those parts of mathematics which are, or could be, useful in engineering, especially bioengineering. The aim is to summarize the ideas covered in each subject area without going into exhaustive detail. Formulas and equations have not been avoided, but every effort has been made to keep them simple in the hope of persuading readers that they are not only useful but also accessible. The wide range of topics covered includes introductory material such as numbers and sequences, geometry in two and three dimensions, linear algebra, and the calculus. Building on these foundations, linear spaces, tensor analysis and Fourier analysis are introduced. All these concepts are used to solve problems for ordinary and partial differential equations. Illustrative applications are taken from a variety of engineering disciplines, and the choice of a suitable model is considered from the point of view of both the mathematician and the engineer. This book will be of interest to engineers and bioengineers looking for the mathematical means to help further their work, and it will offer readers a glimpse of many ideas which may spark their interest.

3d Math Primer For Graphics And Game Development 2nd Edition

Author: Fletcher Dunn
Publisher: CRC Press
ISBN: 1439869812
Size: 39.24 MB
Format: PDF, Docs
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This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.

A Primer On Pontryagin S Principle In Optimal Control

Author: I. Michael Ross
Publisher:
ISBN: 9780984357116
Size: 32.85 MB
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EDITORIAL REVIEW: This book provides a guided tour in introducing optimal control theory from a practitioner's point of view. As in the first edition, Ross takes the contrarian view that it is not necessary to prove Pontryagin's Principle before using it. Using the same philosophy, the second edition expands the ideas over four chapters: In Chapter 1, basic principles related to problem formulation via a structured approach are introduced: What is a state variable? What is a control variable? What is state space? And so on. In Chapter 2, Pontryagin's Principle is introduced using intuitive ideas from everyday life: Like the process of "measuring" a sandwich and how it relates to costates. A vast number of illustrations are used to explain the concepts without going into the minutia of obscure mathematics. Mnemonics are introduced to help a beginner remember the collection of conditions that constitute Pontryagin's Principle. In Chapter 3, several examples are worked out in detail to illustrate a step-by-step process in applying Pontryagin's Principle. Included in this example is Kalman's linear-quadratic optimal control problem. In Chapter 4, a large number of problems from applied mathematics to management science are solved to illustrate how Pontryagin's Principle is used across the disciplines. Included in this chapter are test problems and solutions. The style of the book is easygoing and engaging. The classical calculus of variations is an unnecessary prerequisite for understanding optimal control theory. Ross uses original references to weave an entertaining historical account of various events. Students, particularly beginners, will embark on a minimum-time trajectory to applying Pontryagin's Principle.

Catalog Of Copyright Entries Third Series

Author: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
ISBN:
Size: 15.57 MB
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Includes Part 1, Number 1: Books and Pamphlets, Including Serials and Contributions to Periodicals (January - June)

A Primer Of Ecology

Author: Nicholas J. Gotelli
Publisher: Sinauer Associates Incorporated
ISBN: 9780878933181
Size: 49.83 MB
Format: PDF
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This book presents a concise but detailed exposition of the most common mathematical models in population and community ecology. It is intended to demystify ecological models and the mathematics behind them by deriving the models from first principles.

A Guide To Real Variables

Author: Steven G. Krantz
Publisher: MAA
ISBN: 9780883853443
Size: 33.88 MB
Format: PDF
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A Guide to Real Variables is an aid and conceptual support for students taking an undergraduate course on real analysis. It focuses on concepts, results, examples and illustrative figures, rather than the details of proofs, in order to remain a concise guide which students can dip into. The core topics of a first real analysis course are covered, including sequences, series, modes of convergence, the derivative, the integral and metric spaces. The next book in this series, Folland's A Guide to Advanced Real Analysis is designed to naturally follow on from this book, and introduce students to graduate level real analysis. Together these books provide a concise guide to the subject at all levels, ideal for student preparation for exams.

Design Patterns F R Die Spieleprogrammierung

Author: Robert Nystrom
Publisher: MITP-Verlags GmbH & Co. KG
ISBN: 395845092X
Size: 70.51 MB
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- Die bekannten Design Patterns der Gang of Four im konkreten Einsatz für die Entwicklung von Games - Zahlreiche weitere vom Autor entwickelte Patterns - Sequenzierungs-, Verhaltens-, Entkopplungs- und Optimierungsmuster Für viele Spieleprogrammierer stellt die Finalisierung ihres Spiels die größte Herausforderung dar. Viele Projekte verlaufen im Sande, weil Programmierer der Komplexität des eigenen Codes nicht gewachsen sind. Die im Buch beschriebenen Design Patterns nehmen genau dieses Problem in Angriff. Der Autor blickt auf jahrelange Erfahrung in der Entwicklung von weltweit erfolgreichen Games zurück und stellt erprobte Patterns vor, mit deren Hilfe Sie Ihren Code entwirren und optimieren können. Die Patterns sind in Form unabhängiger Fallbeispiele organisiert, so dass Sie sich nur mit den für Sie relevanten zu befassen brauchen und das Buch auch hervorragend zum Nachschlagen verwenden können. Sie erfahren, wie man eine stabile Game Loop schreibt, wie Spielobjekte mithilfe von Komponenten organisiert werden können und wie man den CPU-Cache nutzt, um die Performance zu verbessern. Außerdem werden Sie sich damit beschäftigen, wie Skript-Engines funktionieren, wie Sie Ihren Code mittels Quadtrees und anderen räumlichen Aufteilungen optimieren und wie sich die klassischen Design Patterns in Spielen einsetzen lassen.

Mathematical Handbook For Scientists And Engineers

Author: Granino A. Korn
Publisher: Courier Corporation
ISBN: 0486320235
Size: 26.30 MB
Format: PDF, ePub, Docs
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Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.