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Author : H. Jerome Keisler
Publisher : Unknown
Page : 968 pages
File Size : 53,9 Mb
Release : 1976
Category : Mathematics
ISBN : STANFORD:36105007502482
Author : H. Jerome Keisler
Publisher : Orange Groove Books
Page : 992 pages
File Size : 45,6 Mb
Release : 2009-09-01
Category : Mathematics
ISBN : 1616100311
Author : Kenneth A. Ross
Publisher : CUP Archive
Page : 192 pages
File Size : 55,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 8210379456XXX
Author : J. Carrier
Publisher : Unknown
Page : 128 pages
File Size : 51,9 Mb
Release : 2012
Category : Photography, Artistic
ISBN : 1907946233
Author : Kenneth A. Ross
Publisher : Springer Science & Business Media
Page : 417 pages
File Size : 43,8 Mb
Release : 2013-04-16
Category : Mathematics
ISBN : 9781461462712
For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging. The second edition preserves the book’s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions.
Author : Andrei Bourchtein,Ludmila Bourchtein
Publisher : CRC Press
Page : 363 pages
File Size : 47,7 Mb
Release : 2014-09-09
Category : Mathematics
ISBN : 9781482246674
This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to reveal common errors in many examples. In this book, the authors present an overview of important concepts and results in calculus and real analysis by considering false statements, which may appear to be true at first glance. The book covers topics concerning the functions of real variables, starting with elementary properties, moving to limits and continuity, and then to differentiation and integration. The first part of the book describes single-variable functions, while the second part covers the functions of two variables. The many examples presented throughout the book typically start at a very basic level and become more complex during the development of exposition. At the end of each chapter, supplementary exercises of different levels of complexity are provided, the most difficult of them with a hint to the solution. This book is intended for students who are interested in developing a deeper understanding of the topics of calculus. The gathered counterexamples may also be used by calculus instructors in their classes.
Author : H. Jerome Keisler
Publisher : Courier Corporation
Page : 1012 pages
File Size : 43,8 Mb
Release : 2012-01-01
Category : Mathematics
ISBN : 9780486484525
This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals. 2007 edition.
Author : Thomas Mikosch
Publisher : World Scientific
Page : 230 pages
File Size : 50,6 Mb
Release : 1998
Category : Mathematics
ISBN : 9810235437
Modelling with the Ito integral or stochastic differential equations has become increasingly important in various applied fields, including physics, biology, chemistry and finance. However, stochastic calculus is based on a deep mathematical theory. This book is suitable for the reader without a deep mathematical background. It gives an elementary introduction to that area of probability theory, without burdening the reader with a great deal of measure theory. Applications are taken from stochastic finance. In particular, the Black -- Scholes option pricing formula is derived. The book can serve as a text for a course on stochastic calculus for non-mathematicians or as elementary reading material for anyone who wants to learn about Ito calculus and/or stochastic finance.
Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 51,6 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 : A. J. Roberts
Publisher : SIAM
Page : 128 pages
File Size : 51,9 Mb
Release : 2009-01-01
Category : Calculus
ISBN : 0898718228
Financial mathematics and its calculus introduced in an accessible manner for undergraduate students. Topics covered include financial indices as stochastic processes, Ito's stochastic calculus, the Fokker-Planck Equation and extra MATLAB/SCILAB code.
Author : P.R. Masani,R. C. Patel,D. J. Patil
Publisher : Elsevier
Page : 352 pages
File Size : 48,7 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483274898
Elementary Calculus presents a three semester introductory course on calculus. This book reveals the conceptual development of the calculus, taking into cognizance the technical and applied sides and standards of clarity and rigor that prevail in mathematics. The topics discussed include the basic laws of numbers, classification of real functions, and concept of instantaneous velocity. The limits of functions defined on intervals, derivatives of the trigonometric functions, and standard logarithmic function are also reviewed. This text likewise considers integration by substitution, lengths of plane curves, and simple harmonic motion. This publication is designed for students who have a knowledge of elementary trigonometry, and either have had a one semester course on analytic or coordinate geometry or might take such a course with calculus.
Author : H. Jerome Keisler
Publisher : Courier Corporation
Page : 1008 pages
File Size : 41,8 Mb
Release : 2013-04-22
Category : Mathematics
ISBN : 9780486310466
This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including approximation problems, vectors, partial derivatives, and multiple integrals. 2007 edition.
Author : Fima C. Klebaner
Publisher : Imperial College Press
Page : 431 pages
File Size : 47,5 Mb
Release : 2005
Category : Mathematics
ISBN : 9781860945557
This book presents a concise treatment of stochastic calculus and its applications. It gives a simple but rigorous treatment of the subject including a range of advanced topics, it is useful for practitioners who use advanced theoretical results. It covers advanced applications, such as models in mathematical finance, biology and engineering.Self-contained and unified in presentation, the book contains many solved examples and exercises. It may be used as a textbook by advanced undergraduates and graduate students in stochastic calculus and financial mathematics. It is also suitable for practitioners who wish to gain an understanding or working knowledge of the subject. For mathematicians, this book could be a first text on stochastic calculus; it is good companion to more advanced texts by a way of examples and exercises. For people from other fields, it provides a way to gain a working knowledge of stochastic calculus. It shows all readers the applications of stochastic calculus methods and takes readers to the technical level required in research and sophisticated modelling.This second edition contains a new chapter on bonds, interest rates and their options. New materials include more worked out examples in all chapters, best estimators, more results on change of time, change of measure, random measures, new results on exotic options, FX options, stochastic and implied volatility, models of the age-dependent branching process and the stochastic Lotka-Volterra model in biology, non-linear filtering in engineering and five new figures.Instructors can obtain slides of the text from the author.
Author : Arthur Stanley Ramsey
Publisher : CUP Archive
Page : 216 pages
File Size : 44,6 Mb
Release : 1932
Category : Calculus
ISBN : 8210379456XXX
Author : Andrei Bourchtein,Ludmila Bourchtein
Publisher : CRC Press
Page : 362 pages
File Size : 49,6 Mb
Release : 2014-09-09
Category : Mathematics
ISBN : 9781482246681
This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to reveal common errors in many examples.In this book, the