A Course in Multivariable Calculus and Analysis

A Course in Multivariable Calculus and Analysis

Author: Sudhir R. Ghorpade

Publisher: Springer Science & Business Media

ISBN: 9781441916204

Category: Mathematics

Page: 486

View: 766

This self-contained textbook gives a thorough exposition of multivariable calculus. The emphasis is on correlating general concepts and results of multivariable calculus with their counterparts in one-variable calculus. Further, the book includes genuine analogues of basic results in one-variable calculus, such as the mean value theorem and the fundamental theorem of calculus. This book is distinguished from others on the subject: it examines topics not typically covered, such as monotonicity, bimonotonicity, and convexity, together with their relation to partial differentiation, cubature rules for approximate evaluation of double integrals, and conditional as well as unconditional convergence of double series and improper double integrals. Each chapter contains detailed proofs of relevant results, along with numerous examples and a wide collection of exercises of varying degrees of difficulty, making the book useful to undergraduate and graduate students alike.

Multivariable Calculus

Multivariable Calculus

Author: Ron Larson

Publisher: Cengage Learning

ISBN: 9780357749425

Category: Mathematics

Page: 480

View: 521

Discover the clear approach and learning support you need to truly understand calculus with MULTIVARIABLE CALCULUS, 12th Edition by award-winning authors Larson and Edwards. This edition effectively presents and demonstrates the concepts and rules of calculus using a thoroughly updated and refined learning experience specifically designed to remove any typical barriers to learning. New Big Ideas of Calculus notes present the overarching ideas behind chapter topics to place the principles you're learning within a meaningful context. Annotated examples and Concept Checks further reinforce your understanding. A variety of exercises, including visually driven exercises, provide the resources you need to develop a deeper conceptual understanding of calculus. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Multivariable Calculus

Multivariable Calculus

Author: David Damiano

Publisher: Jones & Bartlett Publishers

ISBN: 9780763782474

Category: Mathematics

Page: 560

View: 671

Written for mathematics, science, and engineering majors who have completed the traditional two-term course in single variable calculus, Multivariable Calculus bridges the gap between mathematical concepts and their real-world applications outside of mathematics. The ideas of multivariable calculus are presented in a context that is informed by their non-mathematical applications. It incorporates collaborative learning strategies and the sophisticated use of technology, which asks students to become active participants in the development of their own understanding of mathematical ideas. This teaching and learning strategy urges students to communicate mathematically, both orally and in writing. With extended examples and exercises and a student-friendly accessible writing style, Multivariable Calculus is an exciting and engaging journey into mathematics relevant to students everyday lives.

Fractional and Multivariable Calculus

Fractional and Multivariable Calculus

Author: A.M. Mathai

Publisher: Springer

ISBN: 9783319599939

Category: Mathematics

Page: 234

View: 161

This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topics that will enable readers to understand and create deterministic and nondeterministic models. Researchers, advanced undergraduate, and graduate students in mathematics, statistics, physics, engineering, and biological sciences will find this book to be a valuable resource for finding appropriate models to describe real-life situations. The first chapter begins with an introduction to fractional calculus moving on to discuss fractional integrals, fractional derivatives, fractional differential equations and their solutions. Multivariable calculus is covered in the second chapter and introduces the fundamentals of multivariable calculus (multivariable functions, limits and continuity, differentiability, directional derivatives and expansions of multivariable functions). Illustrative examples, input-output process, optimal recovery of functions and approximations are given; each section lists an ample number of exercises to heighten understanding of the material. Chapter three discusses deterministic/mathematical and optimization models evolving from differential equations, difference equations, algebraic models, power function models, input-output models and pathway models. Fractional integral and derivative models are examined. Chapter four covers non-deterministic/stochastic models. The random walk model, branching process model, birth and death process model, time series models, and regression type models are examined. The fifth chapter covers optimal design. General linear models from a statistical point of view are introduced; the Gauss–Markov theorem, quadratic forms, and generalized inverses of matrices are covered. Pathway, symmetric, and asymmetric models are covered in chapter six, the concepts are illustrated with graphs.

Multivariable Calculus with MATLAB®

Multivariable Calculus with MATLAB®

Author: Ronald L. Lipsman

Publisher: Springer

ISBN: 9783319650708

Category: Mathematics

Page: 276

View: 364

This comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLAB® brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics. Covering simple calculations with MATLAB®, relevant plots, integration, and optimization, the numerous problem sets encourage practice with newly learned skills that cultivate the reader’s understanding of the material. Significant examples illustrate each topic, and fundamental physical applications such as Kepler’s Law, electromagnetism, fluid flow, and energy estimation are brought to prominent position. Perfect for use as a supplement to any standard multivariable calculus text, a “mathematical methods in physics or engineering” class, for independent study, or even as the class text in an “honors” multivariable calculus course, this textbook will appeal to mathematics, engineering, and physical science students. MATLAB® is tightly integrated into every portion of this book, and its graphical capabilities are used to present vibrant pictures of curves and surfaces. Readers benefit from the deep connections made between mathematics and science while learning more about the intrinsic geometry of curves and surfaces. With serious yet elementary explanation of various numerical algorithms, this textbook enlivens the teaching of multivariable calculus and mathematical methods courses for scientists and engineers.

Multivariable Calculus and Mathematica®

Multivariable Calculus and Mathematica®

Author: Kevin R. Coombes

Publisher: Springer Science & Business Media

ISBN: 9781461216988

Category: Mathematics

Page: 283

View: 341

Aiming to "modernise" the course through the integration of Mathematica, this publication introduces students to its multivariable uses, instructs them on its use as a tool in simplifying calculations, and presents introductions to geometry, mathematical physics, and kinematics. The authors make it clear that Mathematica is not algorithms, but at the same time, they clearly see the ways in which Mathematica can make things cleaner, clearer and simpler. The sets of problems give students an opportunity to practice their newly learned skills, covering simple calculations, simple plots, a review of one-variable calculus using Mathematica for symbolic differentiation, integration and numerical integration, and also cover the practice of incorporating text and headings into a Mathematica notebook. The accompanying diskette contains both Mathematica 2.2 and 3.0 version notebooks, as well as sample examination problems for students, which can be used with any standard multivariable calculus textbook. It is assumed that students will also have access to an introductory primer for Mathematica.

Multivariable Calculus: Concepts and Contexts

Multivariable Calculus: Concepts and Contexts

Author: James Stewart

Publisher: Cengage Learning

ISBN: 9781111783662

Category: Mathematics

Page: 512

View: 920

Stewart's Multivariable CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. The Multivariable Calculus edition contains chapters 11-18 of the full text, and is intended to serve as a single-semester text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Calculus Multivariable

Calculus Multivariable

Author: Ron Larson

Publisher: Cengage Learning

ISBN: 9781111785437

Category: Mathematics

Page: 512

View: 504

The Larson Calculus program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Multivariable Calculus

Multivariable Calculus

Author: James Stewart

Publisher: Brooks/Cole Publishing Company

ISBN: PSU:000050921003

Category: Mathematics

Page: 577

View: 597

This edition has been revised with the consistent dedication to excellence that has characterized all of the author's books. His explanations make ideas come alive, and his problems challenge, to reveal the beauty of calculus. (Midwest).

Calculus II For Dummies

Calculus II For Dummies

Author: Mark Zegarelli

Publisher: John Wiley & Sons

ISBN: 9781118161708

Category: Mathematics

Page: 384

View: 336

An easy-to-understand primer on advanced calculus topics Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams. It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject. Introduction to integration Indefinite integrals Intermediate Integration topics Infinite series Advanced topics Practice exercises Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight!

Multivariable Calculus

Multivariable Calculus

Author: Selwyn L. Hollis

Publisher: Brooks/Cole Publishing Company

ISBN: 0534393624

Category: Mathematics

Page: 280

View: 867

Each of these comprehensive lab manuals will help students learn to effectively use the technology tools available to them. Each lab contains clearly explained exercises and a variety of labs and projects to accompany the text.