Multivariable Calculus and Discovering Calculus with Derive Set
Author: Howard Anton
Publisher: John Wiley & Sons
Published: 1992-09-01
Total Pages: 860
ISBN-13: 9780471583073
DOWNLOAD EBOOKRead and Download eBook Full
Author: Howard Anton
Publisher: John Wiley & Sons
Published: 1992-09-01
Total Pages: 860
ISBN-13: 9780471583073
DOWNLOAD EBOOKAuthor: Howard Anton
Publisher: John Wiley & Sons
Published: 1992-09-01
Total Pages: 1612
ISBN-13: 9780471584070
DOWNLOAD EBOOKAuthor: Howard Anton
Publisher: John Wiley & Sons
Published: 1992-09-01
Total Pages: 836
ISBN-13: 9780471583097
DOWNLOAD EBOOKAuthor: Howard Anton
Publisher: John Wiley & Sons
Published: 1992-09-01
Total Pages: 856
ISBN-13: 9780471583103
DOWNLOAD EBOOKAuthor: Peter D. Lax
Publisher: Springer
Published: 2018-03-12
Total Pages: 488
ISBN-13: 3319740733
DOWNLOAD EBOOKThis 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.
Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
Published: 2014-02-26
Total Pages: 595
ISBN-13: 9814583952
DOWNLOAD EBOOKAn authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author: L. Corwin
Publisher: Routledge
Published: 2017-10-19
Total Pages: 548
ISBN-13: 1351429523
DOWNLOAD EBOOKClassroom-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.
Author: Howard Anton
Publisher: John Wiley & Sons
Published: 1993-02-01
Total Pages: 832
ISBN-13: 9780471583042
DOWNLOAD EBOOKAuthor: James Stewart
Publisher: Brooks Cole
Published: 2005
Total Pages: 276
ISBN-13: 9780534410100
DOWNLOAD EBOOKContains computer lab projects, sample syllabi, troubleshooting tips, and programming with Maple. Each chapter ends with a summary and a set of exercises.
Author: Kevin R. Coombes
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 282
ISBN-13: 1461216982
DOWNLOAD EBOOKAiming 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.