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Author : William Richard Gondin
Publisher : W H Allen
Page : 325 pages
File Size : 52,5 Mb
Release : 1968
Category : Algebra
ISBN : 0491000715
Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 52,6 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954
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.
Author : Silvanus Thompson
Publisher : Lulu.com
Page : 280 pages
File Size : 47,9 Mb
Release : 2018-09-12
Category : Electronic
ISBN : 9780359077977
From the PROLOGUE. CONSIDERING how many fools can calculate, it is surprising that it should be thought either a difficult or a tedious task for any other fool to learn how to master the same tricks. Some calculus-tricks are quite easy. Some are enormously difficult. The fools who write the textbooks of advanced mathematics -- and they are mostly clever fools -- seldom take the trouble to show you how easy the easy calculations are. On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way. Being myself a remarkably stupid fellow, I have had to unteach myself the difficulties, and now beg to present to my fellow fools the parts that are not hard. Master these thoroughly, and the rest will follow. What one fool can do, another can.
Author : Silvanus P. Thompson,Martin Gardner
Publisher : St. Martin's Press
Page : 336 pages
File Size : 53,5 Mb
Release : 2014-03-18
Category : Study Aids
ISBN : 9781466866355
Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.
Author : Frederick Shenstone Woods
Publisher : Unknown
Page : 420 pages
File Size : 49,5 Mb
Release : 1926
Category : Calculus
ISBN : UCAL:$B529317
Author : Wilfred Kaplan
Publisher : Pearson Education India
Page : 480 pages
File Size : 47,7 Mb
Release : 1952
Category : Calculus
ISBN : 8131768570
Author : Silvanus Phillips Thompson
Publisher : Read Books Ltd
Page : 233 pages
File Size : 51,7 Mb
Release : 2011-03-23
Category : Mathematics
ISBN : 9781446547724
Calculus Made Easy by Silvanus Phillips Thompson is an accessible and engaging introduction to the fundamental principles of calculus, offering readers a clear and simplified approach to understanding this essential branch of mathematics. Calculus Made Easy by Silvanus Phillips Thompson is a timeless classic that makes the complex world of calculus accessible to students and learners of all levels. This book serves as a comprehensive guide to the core concepts and techniques of calculus, presented in a manner that is easy to grasp and enjoyable to read. The book begins by providing readers with a user-friendly introduction to the basic principles of calculus, offering insights into its historical development and significance in mathematics and science. Silvanus Phillips Thompson's clear and engaging explanations set the stage for a deeper exploration of this essential subject. Central to the book is the presentation of calculus concepts, including differentiation and integration, in a simplified and intuitive manner. Readers will find practical examples, step-by-step explanations, and exercises that facilitate learning and problem-solving. Furthermore, the book emphasizes the real-world applications of calculus, illustrating how it is used in various fields, from physics and engineering to economics and biology. It highlights the practical relevance of calculus in solving everyday problems and making informed decisions. Calculus Made Easy is not only a textbook but also a friendly companion on the journey to mastering calculus. It encourages readers to overcome the fear of complex mathematics and discover the beauty and utility of calculus in a straightforward and enjoyable way.
Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 741 pages
File Size : 50,5 Mb
Release : 2012-09-17
Category : Mathematics
ISBN : 9781441985323
This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions.
Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
Page : 730 pages
File Size : 48,5 Mb
Release : 2007-10-11
Category : Mathematics
ISBN : 9780817646134
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.
Author : A. A. Klaf
Publisher : Courier Corporation
Page : 452 pages
File Size : 42,8 Mb
Release : 2012-06-08
Category : Mathematics
ISBN : 9780486138602
This book is unique in English as a refresher for engineers, technicians, and students who either wish to brush up their calculus or find parts of calculus unclear. It is not an ordinary textbook. It is, instead, an examination of the most important aspects of integral and differential calculus in terms of the 756 questions most likely to occur to the technical reader. It provides a very easily followed presentation and may also be used as either an introductory or supplementary textbook. The first part of this book covers simple differential calculus, with constants, variables, functions, increments, derivatives, differentiation, logarithms, curvature of curves, and similar topics. The second part covers fundamental ideas of integration (inspection, substitution, transformation, reduction) areas and volumes, mean value, successive and partial integration, double and triple integration. In all cases the author stresses practical aspects rather than theoretical, and builds upon such situations as might occur. A 50-page section illustrates the application of calculus to specific problems of civil and nautical engineering, electricity, stress and strain, elasticity, industrial engineering, and similar fields. 756 questions answered. 566 problems to measure your knowledge and improvement; answers. 36 pages of useful constants, formulae for ready reference. Index.
Author : William R. Gondin,Bernard Sohmer
Publisher : Elsevier
Page : 288 pages
File Size : 40,6 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483278209
Intermediate Algebra & Analytic Geometry Made Simple focuses on the principles, processes, calculations, and methodologies involved in intermediate algebra and analytic geometry. The publication first offers information on linear equations in two unknowns and variables, functions, and graphs. Discussions focus on graphic interpretations, explicit and implicit functions, first quadrant graphs, variables and functions, determinate and indeterminate systems, independent and dependent equations, and defective and redundant systems. The text then examines quadratic equations in one variable, systems involving quadratics, and determinants. Topics include determinants of higher order, application of Cramer's rule, second-order determinants, systems linear in quadratic terms, systems treatable by substitution, systems with a linear equation, and other systems treated by comparison. The manuscript ponders on trigonometric functions and equations, straight lines, and points, distances, and slopes, including intersection points of lines, perpendicular distances, angles between lines, positions of points, inverse trigonometric functions, and trigonometric equations. The publication is a valuable source of data for readers interested in intermediate algebra and analytic geometry.
Author : Patrick Fitzpatrick
Publisher : American Mathematical Soc.
Page : 610 pages
File Size : 40,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847916
"Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables."--pub. desc.
Author : SILVANUS P. THOMPSON
Publisher : Desert
Page : 288 pages
File Size : 47,5 Mb
Release : 2019-01-21
Category : Electronic
ISBN : 9563101138
Calculus Made Easy has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. A classic and simple approach to learning calculus that requires no technology or prior advanced mathematical skills. This text uses a pioneering approach to math education which is still relevant today. The approach simplifies the process of learning a complicated subject by breaking it down to its core components, using basic examples, and building upon each component until the topic is mastered. This book is a must have for students of calculus or those that have always wanted to learn the subject. It is also helpful to those of us who learned many years ago but could use a refresher.
Author : Richard P. Feynman
Publisher : W. W. Norton & Company
Page : 352 pages
File Size : 43,7 Mb
Release : 2018-02-06
Category : Biography & Autobiography
ISBN : 9780393355680
One of the most famous science books of our time, the phenomenal national bestseller that "buzzes with energy, anecdote and life. It almost makes you want to become a physicist" (Science Digest). Richard P. Feynman, winner of the Nobel Prize in physics, thrived on outrageous adventures. In this lively work that “can shatter the stereotype of the stuffy scientist” (Detroit Free Press), Feynman recounts his experiences trading ideas on atomic physics with Einstein and cracking the uncrackable safes guarding the most deeply held nuclear secrets—and much more of an eyebrow-raising nature. In his stories, Feynman’s life shines through in all its eccentric glory—a combustible mixture of high intelligence, unlimited curiosity, and raging chutzpah. Included for this edition is a new introduction by Bill Gates.
Author : Allen Devinatz
Publisher : Unknown
Page : 504 pages
File Size : 49,5 Mb
Release : 1968
Category : Calculus
ISBN : UCSD:31822013567300