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Calculus and linear algebra are two dominant themes in contemporary mathematics and its applications. The aim of this book is to introduce linear algebra in an intuitive geometric setting as the study of linear maps and to use these simpler linear functions to study more complicated nonlinear functions. In this way, many of the ideas, techniques, and formulas in the calculus of several variables are clarified and understood in a more conceptual way. After using this text a student should be well prepared for subsequent advanced courses in both algebra and linear differential equations as well as the many applications where linearity and its interplay with nonlinearity are significant. This second edition has been revised to clarify the concepts. Many exercises and illustrations have been included to make the text more usable for students.

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Genre: Mathematics
Author: Francis J. Flanigan
Publisher: Springer Science & Business Media
Release: 1998-11-06
File: 622 Pages
ISBN-13: 0387973885

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Genre: Mathematics
Author: Mark Zegarelli
Publisher: John Wiley & Sons
Release: 2008-06-02
File: 368 Pages
ISBN-13: 9780470388587

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The second of a three-volume work, this is the result of the authors'experience teaching calculus at Berkeley. The book covers techniques and applications of integration, infinite series, and differential equations, the whole time motivating the study of calculus using its applications. The authors include numerous solved problems, as well as extensive exercises at the end of each section. In addition, a separate student guide has been prepared.

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Genre: Mathematics
Author: Jerrold Marsden
Publisher: Springer Science & Business Media
Release: 2012-12-06
File: 345 Pages
ISBN-13: 9781461250265

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Volume 1 introduces and systematically develops the calculus in a first detailed exposition of this technique which provides shortcuts for some very tedious calculations.

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Genre: Science
Author: Roger Penrose
Publisher: Cambridge University Press
Release: 1984
File: 472 Pages
ISBN-13: 0521337070

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Covers multivariable calculus, starting from the basics and leading up to the three theorems of Green, Gauss, and Stokes, but always with an eye on practical applications. Written for a wide spectrum of undergraduate students by an experienced author, this book provides a very practical approach to advanced calculus—starting from the basics and leading up to the theorems of Green, Gauss, and Stokes. It explains, clearly and concisely, partial differentiation, multiple integration, vectors and vector calculus, and provides end-of-chapter exercises along with their solutions to aid the readers’ understanding. Written in an approachable style and filled with numerous illustrative examples throughout, Two and Three Dimensional Calculus: with Applications in Science and Engineering assumes no prior knowledge of partial differentiation or vectors and explains difficult concepts with easy to follow examples. Rather than concentrating on mathematical structures, the book describes the development of techniques through their use in science and engineering so that students acquire skills that enable them to be used in a wide variety of practical situations. It also has enough rigor to enable those who wish to investigate the more mathematical generalizations found in most mathematics degrees to do so. Assumes no prior knowledge of partial differentiation, multiple integration or vectors Includes easy-to-follow examples throughout to help explain difficult concepts Features end-of-chapter exercises with solutions to exercises in the book. Two and Three Dimensional Calculus: with Applications in Science and Engineering is an ideal textbook for undergraduate students of engineering and applied sciences as well as those needing to use these methods for real problems in industry and commerce.

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Genre: Mathematics
Author: Phil Dyke
Publisher: John Wiley & Sons
Release: 2018-05-07
File: 400 Pages
ISBN-13: 9781119221784

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Two-dimensional calculus is vital to the mastery of the broader field, and this text presents an extensive treatment. Advantages include the thorough integration of linear algebra and development of geometric intuition. 1986 edition.

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Genre: Mathematics
Author: Robert Osserman
Publisher: Courier Corporation
Release: 2014-01-05
File: 480 Pages
ISBN-13: 9780486321004

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Genre: Calculus
Author: Dale Hoffman
Publisher: Lulu.com
Release: 2011
File: Pages
ISBN-13: 9781105411878

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This is an introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, empahsizing spaces with constant curvature. Chapters 1-4 provide basic notations for studying two-body dynamics. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 investigates the classical counterpart of the quantum system introduced in Chapter 5. Chapter 8 discusses applications in the quantum realm.

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Genre: Science
Author: Alexey V. Shchepetilov
Publisher: Springer
Release: 2006-09-04
File: 242 Pages
ISBN-13: 9783540353867

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REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Advanced Calculus II includes multiple integrals, line integrals, surface integrals, integral theorems, infinite series, improper integrals, Fourier series, and functions of complex variables.

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Genre: Mathematics
Author:
Publisher: Research & Education Assoc.
Release:
File: Pages
ISBN-13: 0738670111

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Genre:
Author: K.R.Choubey, Ravikant Choubey, Chandrakant Choubey
Publisher: Pearson Education India
Release:
File: Pages
ISBN-13: 8131761592

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