College Algebra and Calculus

College Algebra and Calculus PDF

Author: Ron Larson

Publisher: Cengage Learning

Published: 2008-11-07

Total Pages: 0

ISBN-13: 9780495831730

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COLLEGE ALGEBRA AND CALCULUS: AN APPLIED APPROACH, International Edition, the newest addition to the Larson Applied math family, allows your students to feel confident moving from college algebra to applied calculus. The mathematical concepts and applications are consistently presented in the same tone and pedagogy. The combination of these two subjects into one text will not only save you time in your course, but it will also save your students the cost of an extra textbook.

Inside Mathematics

Inside Mathematics PDF

Author: Mike Goldsmith

Publisher: Inside Mathematics

Published: 2018-10

Total Pages: 184

ISBN-13: 9781627951173

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Think math is boring?Think again! Algebra to Calculus: Unlocking Math's Amazing Power tells the story of algebra and calculus to explore the surprising, fascinating and sometimes mind-boggling evolution of mathematics through the ages.How do you make a decision with numbers? You have to use a kind of math called Boolean algebra-it's a little strange because it only ever uses two numbers 1 or 0, and 1+1 always equals 1. Despite this weirdness, this algebra is used to create the nanoscale circuits in every microchip. Do you want to know more? Written to engage, entertain and enthuse readers young and old, Algebra to Calculus: Unlocking Math's Amazing Power takes an entirely new approach to the wonderful world of mathematics. Along the way, readers will meet with geniuses, such as Diophantus and Newton, who figured out how to turn math problems into general techniques that worked whatever the situation. Readers will not only learn how computer chips process their programs, but also how a smartphone knows where it is, what the link is between snowflakes, cannonballs and wine barrels, and how Carl Gauss figured out how to add up all the numbers between 1 and 100 in less than a minute-when he was just 10 years old! Algebra to Calculus: Unlocking Math's Amazing Power shows there is a lot more going on than just x + y = z.

What is Calculus?

What is Calculus? PDF

Author: R Michael Range

Publisher: World Scientific Publishing Company

Published: 2015-08-20

Total Pages: 372

ISBN-13: 9814644501

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This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that dominate the traditional introductions to the subject. This simple algebraic method is a modern version of an idea that goes back to René Descartes and that has been largely forgotten. Moving beyond algebra, the need for new analytic concepts based on completeness, continuity, and limits becomes clearly visible to the reader while investigating exponential functions. The author carefully develops the necessary foundations while minimizing the use of technical language. He expertly guides the reader to deep fundamental analysis results, including completeness, key differential equations, definite integrals, Taylor series for standard functions, and the Euler identity. This pioneering book takes the sophisticated reader from simple familiar algebra to the heart of analysis. Furthermore, it should be of interest as a source of new ideas and as supplementary reading for high school teachers, and for students and instructors of calculus and analysis.

Clifford Algebra to Geometric Calculus

Clifford Algebra to Geometric Calculus PDF

Author: David Hestenes

Publisher: Springer Science & Business Media

Published: 1984

Total Pages: 340

ISBN-13: 9789027725615

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Matrix algebra has been called "the arithmetic of higher mathematics" [Be]. We think the basis for a better arithmetic has long been available, but its versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called 'Clifford Algebra', though we prefer the name 'Geometric Algebra' suggested by Clifford himself. Many distinct algebraic systems have been adapted or developed to express geometric relations and describe geometric structures. Especially notable are those algebras which have been used for this purpose in physics, in particular, the system of complex numbers, the quaternions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential forms. Each of these geometric algebras has some significant advantage over the others in certain applications, so no one of them provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas.

Advanced Calculus

Advanced Calculus PDF

Author: Lynn Harold Loomis

Publisher: World Scientific Publishing Company

Published: 2014-02-26

Total Pages: 596

ISBN-13: 9814583952

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An 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.

Calculus

Calculus PDF

Author: Gilbert Strang

Publisher:

Published: 2016-03-07

Total Pages: 824

ISBN-13: 9781938168062

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"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Multivariable Mathematics

Multivariable Mathematics PDF

Author: Theodore Shifrin

Publisher: John Wiley & Sons

Published: 2004-01-26

Total Pages: 514

ISBN-13: 047152638X

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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. In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete proofs. * Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts. * Numerous exercises of varying levels of difficulty, both computational and more proof-oriented. * Exercises are arranged in order of increasing difficulty.

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