Multivariable Calculus And Differential Geometry

Multivariable Calculus and Differential Geometry PDF
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Author: Gerard Walschap
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110369540
Size: 28.35 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 365
View: 1967

This book offers an introduction to differential geometry for the non-specialist. It includes most of the required material from multivariable calculus, linear algebra, and basic analysis. An intuitive approach and a minimum of prerequisites make it a valuable companion for students of mathematics and physics. The main focus is on manifolds in Euclidean space and the metric properties they inherit from it. Among the topics discussed are curvature and how it affects the shape of space, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.


Multivariable Calculus

Multivariable Calculus PDF
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Author: L. Corwin
Publisher: Routledge
ISBN: 1351429523
Size: 31.62 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 546
View: 7677

Classroom-tested and lucidly written, Multivariable Calculus gives a thorough and rigoroustreatment of differential and integral calculus of functions of several variables. Designed as ajunior-level textbook for an advanced calculus course, this book covers a variety of notions,including continuity , differentiation, multiple integrals, line and surface integrals, differentialforms, and infinite series. Numerous exercises and examples throughout the book facilitatethe student's understanding of important concepts.The level of rigor in this textbook is high; virtually every result is accompanied by a proof. Toaccommodate teachers' individual needs, the material is organized so that proofs can be deemphasizedor even omitted. Linear algebra for n-dimensional Euclidean space is developedwhen required for the calculus; for example, linear transformations are discussed for the treatmentof derivatives.Featuring a detailed discussion of differential forms and Stokes' theorem, Multivariable Calculusis an excellent textbook for junior-level advanced calculus courses and it is also usefulfor sophomores who have a strong background in single-variable calculus. A two-year calculussequence or a one-year honor calculus course is required for the most successful use of thistextbook. Students will benefit enormously from this book's systematic approach to mathematicalanalysis, which will ultimately prepare them for more advanced topics in the field.


Multivariable Mathematics

Multivariable Mathematics PDF
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Author: Theodore Shifrin
Publisher: John Wiley & Sons
ISBN:
Size: 29.29 MB
Format: PDF
Category : Algebras, Linear
Languages : en
Pages : 491
View: 1690

Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis.


Basic Multivariable Calculus

Basic Multivariable Calculus PDF
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Author: Jerrold E. Marsden
Publisher: Springer Verlag
ISBN: 9783540979760
Size: 53.20 MB
Format: PDF, ePub, Docs
Category : Calculus
Languages : en
Pages : 533
View: 2037

Basic Multivariable Calculus fills the need for a student-oriented text devoted exclusively to the third-semester course in multivariable calculus.In this text, the basic algebraic, analytic, and geometric concepts of multivariable and vector calculus are carefully explained, with an emphasis on developing the student's intuitive understanding and computational technique. A wealth of figures supports geometrical interpretation, while exercise sets, review sections, practice exams, and historical notes keep the students active in, and involved with, the mathematical ideas. All necessary linear algebra is developed within the text, and the material can be readily coordinated with computer laboratories.Basic Multivariable Calculus is the product of an extensive writing, revising, and class-testing collaboration by the authors of Calculus III (Springer-Verlag) and Vector Calculus (W.H. Freeman & Co.). Incorporating many features from these highly respected texts, it is both a synthesis of the authors' previous work and a new and original textbook.


Multivariable Calculus And Mathematica

Multivariable Calculus and Mathematica   PDF
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Author: Kevin R. Coombes
Publisher: Springer Science & Business Media
ISBN: 1461216982
Size: 79.78 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 283
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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

Multivariable Calculus PDF
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Author: Rolland Trapp
Publisher: Oxford University Press, USA
ISBN: 0198835175
Size: 16.54 MB
Format: PDF, Mobi
Category : Calculus
Languages : en
Pages : 480
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In this modern treatment of the topic, Rolland Trapp presents an accessible introduction to the topic of multivariable calculus, supplemented by the use of fully interactive three-dimensional graphics throughout the text. Multivariable Calculus opens with an introduction to points, curves and surfaces, easing student transitions from two- to three-dimensions, and concludes with the main theorems of vector calculus. All standard topics of multivariable calculus are covered in between, including a variety of applications within the physical sciences. The exposition combines rigor and intuition, resulting in a well-rounded resource for students of the subject. In addition, the interactive three-dimensional graphics, accessible through the electronic text or via the companion website, enhance student understanding while improving their acuity. The style of composition, sequencing of subjects, and interactive graphics combine to form a useful text that appeals to a broad audience: students in the sciences, technology, engineering, and mathematics alike.


Multivariable Calculus

Multivariable Calculus PDF
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Author: James Stewart
Publisher: Cengage Learning
ISBN: 1305804422
Size: 64.14 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 624
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Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, these hybrid versions feature the instructional presentation found in the printed text while delivering end-of-section and/or end-of chapter exercises online in Enhanced WebAssign. The result—a briefer printed text that engages students online! James Stewart's CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Eighth Edition of MULTIVARIABLE CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Eighth Edition. From the least prepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence. 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 PDF
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Author: Clark Bray
Publisher:
ISBN: 9781482550740
Size: 52.27 MB
Format: PDF
Category : Calculus
Languages : en
Pages : 484
View: 3353

For more information, including an entire collection of free video lectures and video help with exercises, see the book webpage at: http: //www.math.duke.edu/ cbray/mv/ This is a textbook on multivariable calculus, whose target audience is the students in Math 212 at Duke University -- a course in multivariable calculus intended for students majoring in the sciences and engineering. This book has been used in summer offerings of that course several times, taught by Clark Bray. It is intended to fill a gap in the spectrum of multivariable calculus textbooks. It goes beyond books that are oriented around formulas that students can simply memorize, but it does not include the abstraction and rigor that can be found in books that give the most complete and sophisticated presentations of the material. This book would be appropriate for use at any university. It assumes only that the student is proficient in single variable calculus and its prerequisites. The material in this book is developed in a way such that students can see a motivation behind the development, not just the results. The emphasis is on giving students a way to visualize the ideas and see the connections between them, with less emphasis on rigor. The book includes substantial applications, including much discussion of gravitational, electric, and magnetic fields, Maxwell's laws, and the relationships of these physical ideas to the vector calculus theorems of Gauss and Stokes. It also includes a brief discussion of linear algebra, allowing for the discussion of the derivative transformation and Jacobian matrices, which are then used often elsewhere in the book. And there are extensive discussions of multivariable functions and the different ways to represent them geometrically, manipulating multivariable equations and the effects on the solution sets.


Multivariable Calculus With Applications

Multivariable Calculus with Applications PDF
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Author: Peter D. Lax
Publisher: Springer
ISBN: 3319740733
Size: 61.27 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 483
View: 1330

This text in multivariable calculus fosters comprehension through meaningful explanations. Written with students in mathematics, the physical sciences, and engineering in mind, it extends concepts from single variable calculus such as derivative, integral, and important theorems to partial derivatives, multiple integrals, Stokes’ and divergence theorems. Students with a background in single variable calculus are guided through a variety of problem solving techniques and practice problems. Examples from the physical sciences are utilized to highlight the essential relationship between calculus and modern science. The symbiotic relationship between science and mathematics is shown by deriving and discussing several conservation laws, and vector calculus is utilized to describe a number of physical theories via partial differential equations. Students will learn that mathematics is the language that enables scientific ideas to be precisely formulated and that science is a source for the development of mathematics.


A Course In Multivariable Calculus And Analysis

A Course in Multivariable Calculus and Analysis PDF
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Author: Sudhir R. Ghorpade
Publisher: Springer Science & Business Media
ISBN: 1441916210
Size: 36.13 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 475
View: 1168

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.