The Calculus Primer

The Calculus Primer

Author: William L. Schaaf

Publisher: Courier Corporation

Published: 2014-03-05

Total Pages: 434

ISBN-13: 0486172643

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Comprehensive but concise, this introduction to differential and integral calculus covers all the topics usually included in a first course. The straightforward development places less emphasis on mathematical rigor, and the informal manner of presentation sets students at ease. Many carefully worked-out examples illuminate the text, in addition to numerous diagrams, problems, and answers. Bearing the needs of beginners constantly in mind, the treatment covers all the basic concepts of calculus: functions, derivatives, differentiation of algebraic and transcendental functions, partial differentiation, indeterminate forms, general and special methods of integration, the definite integral, partial integration, and other fundamentals. Ample exercises permit students to test their grasp of subjects before moving forward, making this volume appropriate not only for classroom use but also for review and home study.


Prof. E. McSquared's Calculus Primer

Prof. E. McSquared's Calculus Primer

Author: Howard Swann

Publisher: Courier Dover Publications

Published: 2016-01-20

Total Pages: 267

ISBN-13: 0486800687

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The first calculus comic book, this unique primer requires only a familiarity with high school algebra and a sense of humor. "Highly recommended." — The Times (London) Educational Supplement. 1989 edition.


A Primer on the Calculus of Variations and Optimal Control Theory

A Primer on the Calculus of Variations and Optimal Control Theory

Author: Mike Mesterton-Gibbons

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 274

ISBN-13: 0821847724

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The calculus of variations is used to find functions that optimize quantities expressed in terms of integrals. Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations. This book is an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician. It focuses on understanding concepts and how to apply them. The range of potential applications is broad: the calculus of variations and optimal control theory have been widely used in numerous ways in biology, criminology, economics, engineering, finance, management science, and physics. Applications described in this book include cancer chemotherapy, navigational control, and renewable resource harvesting. The prerequisites for the book are modest: the standard calculus sequence, a first course on ordinary differential equations, and some facility with the use of mathematical software. It is suitable for an undergraduate or beginning graduate course, or for self study. It provides excellent preparation for more advanced books and courses on the calculus of variations and optimal control theory.


The Calculus Primer

The Calculus Primer

Author: Robert J. Madison

Publisher: AuthorHouse

Published: 2008-03

Total Pages: 66

ISBN-13: 1434324079

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Have you ever wondered, "How can I use basic calculus?" Some truly simple examples are given early in the first ten pages including the fine details that you may need.


A Primer of Infinitesimal Analysis

A Primer of Infinitesimal Analysis

Author: John L. Bell

Publisher: Cambridge University Press

Published: 2008-04-07

Total Pages: 7

ISBN-13: 0521887186

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A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.


A Mathematical Primer for Social Statistics

A Mathematical Primer for Social Statistics

Author: John Fox

Publisher: SAGE

Published: 2009

Total Pages: 185

ISBN-13: 1412960800

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The ideal primer for students and researchers across the social sciences who wish to master the necessary maths in order to pursue studies involving advanced statistical methods


Infinitesimal Calculus

Infinitesimal Calculus

Author: James M. Henle

Publisher: Courier Corporation

Published: 2014-01-15

Total Pages: 146

ISBN-13: 0486151018

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Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.


3D Math Primer for Graphics and Game Development, 2nd Edition

3D Math Primer for Graphics and Game Development, 2nd Edition

Author: Fletcher Dunn

Publisher: CRC Press

Published: 2011-11-02

Total Pages: 848

ISBN-13: 1568817231

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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 Mathematical Primer for Social Statistics

A Mathematical Primer for Social Statistics

Author: John Fox

Publisher: SAGE Publications

Published: 2021-01-11

Total Pages: 199

ISBN-13: 1071833243

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A Mathematical Primer for Social Statistics, Second Edition presents mathematics central to learning and understanding statistical methods beyond the introductory level: the basic "language" of matrices and linear algebra and its visual representation, vector geometry; differential and integral calculus; probability theory; common probability distributions; statistical estimation and inference, including likelihood-based and Bayesian methods. The volume concludes by applying mathematical concepts and operations to a familiar case, linear least-squares regression. The Second Edition pays more attention to visualization, including the elliptical geometry of quadratic forms and its application to statistics. It also covers some new topics, such as an introduction to Markov-Chain Monte Carlo methods, which are important in modern Bayesian statistics. A companion website includes materials that enable readers to use the R statistical computing environment to reproduce and explore computations and visualizations presented in the text. The book is an excellent companion to a "math camp" or a course designed to provide foundational mathematics needed to understand relatively advanced statistical methods.