#### Calculus

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## Calculus

Author | : Gilbert Strang |

Release | : 2017-09-14 |

Editor | : Wellesley-Cambridge Press |

Pages | : 500 |

ISBN | : 0980232759 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

Gilbert Strang's clear, direct style and detailed, intensive explanations make this textbook ideal as both a course companion and for self-study. Single variable and multivariable calculus are covered in depth. Key examples of the application of calculus to areas such as physics, engineering and economics are included in order to enhance students' understanding. New to the third edition is a chapter on the 'Highlights of calculus', which accompanies the popular video lectures by the author on MIT's OpenCourseWare. These can be accessed from math.mit.edu/~gs.

## Calculus for the Utterly Confused

Author | : Robert Oman,Daniel Oman |

Release | : 1998-07-22 |

Editor | : McGraw Hill Professional |

Pages | : 212 |

ISBN | : 0071368728 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

When it comes to understanding one of your most intimidating courses--calculus--even good students can be confused. Intended primarily for the non-engineering calculus student (though the more serious calculus student will also benefit), Calculus for the Utterly Confused is your ticket to success. Calculus concepts are explained and applied in such diverse fields as business, medicine, finance, economics, chemistry, sociology, physics, and health and environmental sciences. The message of Calculus for the Utterly Confused is simple: You donÕt have to be confused anymore. With the wealth of expert advice from the authors who have taught many, many confused students, youÕll discover a newer, fresher, clearer way to look at calculus. DonÕt wait another minute--get on the road to higher grades and greater confidence, and go from utterly confused to totally prepared in no time!

## A First Course in Calculus

Author | : Serge Lang |

Release | : 2012-09-17 |

Editor | : Springer Science & Business Media |

Pages | : 731 |

ISBN | : 9781441985323 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

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.

## Language as Calculus vs Language as Universal Medium

Author | : Maren Kusch |

Release | : 1989-06-30 |

Editor | : Springer Science & Business Media |

Pages | : 382 |

ISBN | : 0792303334 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

I first became interested in Husserl and Heidegger as long ago as 1980, when as an undergraduate at the Freie Universitat Berlin I studied the books by Professor Ernst Tugendhat. Tugendhat's at tempt to bring together analytical and continental philosophy has never ceased to fascinate me, and even though in more recent years other influences have perhaps been stronger, I should like to look upon the present study as still being indebted to Tugendhat's initial incentive. It was my good fortune that for personal reasons I had to con tinue my academic training from 1981 onwards in Finland. Even though Finland is a stronghold of analytical philosophy, it also has a tradition of combining continental and Anglosaxon philosophical thought. Since I had already admired this line of work in Tugendhat, it is hardly surprising that once in Finland I soon became impressed by Professor Jaakko Hintikka's studies on Husserl and intentionality, and by Professor Georg Henrik von Wright's analytical hermeneu tics. While the latter influence has-at least in part-led to a book on the history of hermeneutics, the former influence has led to the present work. My indebtedness to Professor Hintikka is enormous. Not only is the research reported here based on his suggestions, but Hintikka has also commented extensively on different versions of the manuscript, helped me to make important contacts, found a publisher for me, and-last but not least-was a never failing source of encouragement.

## Applied Calculus of Variations for Engineers

Author | : Louis Komzsik |

Release | : 2008-10-27 |

Editor | : CRC Press |

Pages | : 175 |

ISBN | : 1420086650 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

The subject of calculus of variations is to find optimal solutions to engineering problems where the optimum may be a certain quantity, a shape, or a function. Applied Calculus of Variations for Engineers addresses this very important mathematical area applicable to many engineering disciplines. Its unique, application-oriented approach sets it apa

## Advanced Calculus

Author | : Lynn Harold Loomis,Shlomo Sternberg |

Release | : 2014-02-26 |

Editor | : World Scientific Publishing Company |

Pages | : 596 |

ISBN | : 9789814583954 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

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.

## A Treatise on Isoperimetrical Problems and the Calculus of Variations

Author | : Robert Woodhouse |

Release | : 1810 |

Editor | : Unknown |

Pages | : 180 |

ISBN | : OXFORD:591069594 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

## Advanced Calculus

Author | : John Srdjan Petrovic |

Release | : 2013-11-01 |

Editor | : CRC Press |

Pages | : 574 |

ISBN | : 9781466565630 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics. The book takes a motivating approach that makes ideas less abstract to students. It explains how various topics in calculus may seem unrelated but in reality have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems as well as help students develop the necessary skills to closely examine the theorems. Proofs are also presented in an accessible way to students. By strengthening skills gained through elementary calculus, this textbook leads students toward mastering calculus techniques. It will help them succeed in their future mathematical or engineering studies.

## Foundations of Differential Calculus

Author | : Euler |

Release | : 2006-05-04 |

Editor | : Springer Science & Business Media |

Pages | : 194 |

ISBN | : 9780387226453 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.

## Brownian Motion and Stochastic Calculus

Author | : Ioannis Karatzas,Steven Shreve |

Release | : 2014-03-27 |

Editor | : Springer |

Pages | : 470 |

ISBN | : 9781461209492 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

A graduate-course text, written for readers familiar with measure-theoretic probability and discrete-time processes, wishing to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed, illustrated by results concerning representations of martingales and change of measure on Wiener space, which in turn permit a presentation of recent advances in financial economics. The book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The whole is backed by a large number of problems and exercises.

## Advanced Calculus

Author | : Avner Friedman |

Release | : 2007-03-15 |

Editor | : Courier Corporation |

Pages | : 423 |

ISBN | : 9780486457956 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 edition.

## Head Order Techniques and Other Pragmatics of Lambda Calculus Graph Reduction

Author | : Nikos B. Troullinos |

Release | : 2011-10 |

Editor | : Universal-Publishers |

Pages | : 250 |

ISBN | : 9781612337579 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

Available in Paperback Available in eBook editions (PDF format) Institution: Syracuse University (Syracuse, NY, USA) Advisor(s): Prof. Klaus J. Berkling Degree: Ph.D. in Computer and Information Science Year: 1993 Book Information: 248 pages Publisher: Dissertation.com ISBN-10: 1612337570 ISBN-13: 9781612337579 View First 25 pages: (free download) Abstract The operational aspects of Lambda Calculus are studied as a fundamental basis for high-order functional computation. We consider systems having full reduction semantics, i.e., equivalence-preserving transformations of functions. The historic lineage from Eval-Apply to SECD to RTNF/RTLF culminates in the techniques of normal-order graph Head Order Reduction (HOR). By using a scalar mechanism to artificially bind relatively free variables, HOR makes it relatively effortless to reduce expressions beyond weak normal form and to allow expression-level results while exhibiting a well-behaved linear self-modifying code structure. Several variations of HOR are presented and compared to other efficient reducers, with and without sharing, including a conservative breadth-first one which mechanically takes advantage of the inherent, fine-grained parallelism of the head normal form. We include abstract machine and concrete implementations of all the reducers in pure functional code. Benchmarking comparisons are made through a combined time-space efficiency metric. The original results indicate that circa 2010 reduction rates of 10-100 million reductions per second can be achieved in software interpreters and a billion reductions per second can be achieved by a state-of-the art custom VLSI implementation.

## Multivariable Calculus

Author | : L. Corwin |

Release | : 2017-10-19 |

Editor | : CRC Press |

Pages | : 546 |

ISBN | : 9781351429535 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

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.

## The Theory of Differential and Integral Calculus

Author | : John FORBES (D.D.) |

Release | : 1837 |

Editor | : Unknown |

Pages | : 272 |

ISBN | : BL:A0019889231 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

## The Historical Development of the Calculus

Author | : C.H.Jr. Edwards |

Release | : 2012-12-06 |

Editor | : Springer Science & Business Media |

Pages | : 368 |

ISBN | : 9781461262305 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

The calculus has served for three centuries as the principal quantitative language of Western science. In the course of its genesis and evolution some of the most fundamental problems of mathematics were first con fronted and, through the persistent labors of successive generations, finally resolved. Therefore, the historical development of the calculus holds a special interest for anyone who appreciates the value of a historical perspective in teaching, learning, and enjoying mathematics and its ap plications. My goal in writing this book was to present an account of this development that is accessible, not solely to students of the history of mathematics, but to the wider mathematical community for which my exposition is more specifically intended, including those who study, teach, and use calculus. The scope of this account can be delineated partly by comparison with previous works in the same general area. M. E. Baron's The Origins of the Infinitesimal Calculus (1969) provides an informative and reliable treat ment of the precalculus period up to, but not including (in any detail), the time of Newton and Leibniz, just when the interest and pace of the story begin to quicken and intensify. C. B. Boyer's well-known book (1949, 1959 reprint) met well the goals its author set for it, but it was more ap propriately titled in its original edition-The Concepts of the Calculus than in its reprinting.

## Applied Probabilistic Calculus for Financial Engineering

Author | : Bertram K. C. Chan |

Release | : 2017-09-11 |

Editor | : John Wiley & Sons |

Pages | : 536 |

ISBN | : 9781119388043 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

Illustrates how R may be used successfully to solve problems in quantitative finance Applied Probabilistic Calculus for Financial Engineering: An Introduction Using R provides R recipes for asset allocation and portfolio optimization problems. It begins by introducing all the necessary probabilistic and statistical foundations, before moving on to topics related to asset allocation and portfolio optimization with R codes illustrated for various examples. This clear and concise book covers financial engineering, using R in data analysis, and univariate, bivariate, and multivariate data analysis. It examines probabilistic calculus for modeling financial engineering—walking the reader through building an effective financial model from the Geometric Brownian Motion (GBM) Model via probabilistic calculus, while also covering Ito Calculus. Classical mathematical models in financial engineering and modern portfolio theory are discussed—along with the Two Mutual Fund Theorem and The Sharpe Ratio. The book also looks at R as a calculator and using R in data analysis in financial engineering. Additionally, it covers asset allocation using R, financial risk modeling and portfolio optimization using R, global and local optimal values, locating functional maxima and minima, and portfolio optimization by performance analytics in CRAN. Covers optimization methodologies in probabilistic calculus for financial engineering Answers the question: What does a "Random Walk" Financial Theory look like? Covers the GBM Model and the Random Walk Model Examines modern theories of portfolio optimization, including The Markowitz Model of Modern Portfolio Theory (MPT), The Black-Litterman Model, and The Black-Scholes Option Pricing Model Applied Probabilistic Calculus for Financial Engineering: An Introduction Using R s an ideal reference for professionals and students in economics, econometrics, and finance, as well as for financial investment quants and financial engineers.

## Advanced Calculus of Several Variables

Author | : C. H. Edwards |

Release | : 2012-10-10 |

Editor | : Courier Corporation |

Pages | : 480 |

ISBN | : 9780486131955 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems. 1973 edition.

## A Treatise on Infinitesimal Calculus Differential calculus 1857

Author | : Bartholomew Price |

Release | : 1857 |

Editor | : Unknown |

Pages | : 660 |

ISBN | : UOM:39015010939919 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

## Introduction To The Calculus of Variations And Its Applications

Author | : Frederic Wan |

Release | : 2017-10-19 |

Editor | : Routledge |

Pages | : 640 |

ISBN | : 9781351436526 |

Language | : en |

Available for | : |

**DESCRIPTION BOOK:**

This comprehensive text provides all information necessary for an introductory course on the calculus of variations and optimal control theory. Following a thorough discussion of the basic problem, including sufficient conditions for optimality, the theory and techniques are extended to problems with a free end point, a free boundary, auxiliary and inequality constraints, leading to a study of optimal control theory.