Calculus Without Derivatives
Title | Calculus Without Derivatives PDF eBook |
Author | Jean-Paul Penot |
Publisher | Springer Science & Business Media |
Pages | 541 |
Release | 2012-11-09 |
Genre | Mathematics |
ISBN | 1461445388 |
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
Algorithms for Minimization Without Derivatives
Title | Algorithms for Minimization Without Derivatives PDF eBook |
Author | Richard P. Brent |
Publisher | Courier Corporation |
Pages | 210 |
Release | 2013-06-10 |
Genre | Mathematics |
ISBN | 0486143686 |
DIVOutstanding text for graduate students and research workers proposes improvements to existing algorithms, extends their related mathematical theories, and offers details on new algorithms for approximating local and global minima. /div
Calculus Without Limits
Title | Calculus Without Limits PDF eBook |
Author | John C. Sparks |
Publisher | AuthorHouse |
Pages | 394 |
Release | 2004-06 |
Genre | Calculus |
ISBN | 1418441244 |
First time author Ledesma sets his adventure tale in early America. Antonios' travels and adventures carry him across two continents, Europe and America in his quest for a new life. He leaves the safety and love of his family in Italy for uncertain life in a far off land. His dreams, anxieties and fears are borne out as he encounters and conquers the harsh strange and challenging world that surrounds him. Each tantalizing adventure brings our hero closer to maturity, self-esteem and the molding of his character. He experiences love; fear and death on his long journey and witnesses the history that shaped early America. 1n 1846 he becomes an early pioneer by joining a wagon train bound for California. During the trip he experiences encounters with Indians, death, accidents and newly establishes a long lasting friendship. He wanders around California finding romance and land. He eventually starts a grape vineyard and establishes himself as a rancher, husband and father. His life in early California is entwined with such history making events as the Gold Rush, statehood, the Pony Express, building of the Transcontinental Railroad and many more historical events. Reading this heart warming young mans story will enrich the readers to understand the personal triumphs, hardships and the west's rich history
Advanced Calculus (Revised Edition)
Title | Advanced Calculus (Revised Edition) PDF eBook |
Author | Lynn Harold Loomis |
Publisher | World Scientific Publishing Company |
Pages | 595 |
Release | 2014-02-26 |
Genre | Mathematics |
ISBN | 9814583952 |
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.
Maxima and Minima Without Calculus
Title | Maxima and Minima Without Calculus PDF eBook |
Author | Ivan Niven |
Publisher | Cambridge University Press |
Pages | 328 |
Release | 1981 |
Genre | Mathematics |
ISBN | 9780883853061 |
Describes techniques for solving problems in maxima and minima other than the methods of calculus.
Financial Calculus
Title | Financial Calculus PDF eBook |
Author | Martin Baxter |
Publisher | Cambridge University Press |
Pages | 252 |
Release | 1996-09-19 |
Genre | Business & Economics |
ISBN | 9780521552899 |
A rigorous introduction to the mathematics of pricing, construction and hedging of derivative securities.
Calculus Made Easy
Title | Calculus Made Easy PDF eBook |
Author | Silvanus Phillips Thompson |
Publisher | |
Pages | 200 |
Release | 1911 |
Genre | Calculus |
ISBN |