Calculus Books

"An Elementary Treatise On the Geometry of Curves and Curved Surfaces" by Baden Powell offers a rigorous exploration of geometric principles through the application of differential and integral calculus. Originally published in 1830, this foundational...

This book gives an introduction to Fractional Fourier Transform. Fractional Fourier Transform has one extra degree of freedom that comes from the rotation angle parameter. It can be used in every area where ordinary Fourier transform can be used and...

Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus as well as to its principal applications in the Lagrangean dynamics of discrete systems under positional or velocity...

This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients...

This introductory text presents detailed accounts of the different forms of the theory developed by Stroock and Bismut, discussions of the relationship between these two approaches, and a variety of applications. 1987 edition.

With the first edition out of print, we decided to arrange for republi­ cation of Denumerrible Markov Ohains with additional bibliographic material. The new edition contains a section Additional Notes that indicates some of the...

This book has evolved from my experience over the past decade in teaching and doing research in functional analysis and certain of its appli­ cations. These applications are to optimization theory in general and to best...

In this edition, a set of Supplementary Notes and Remarks has been added at the end, grouped according to chapter. Some of these call attention to subsequent developments, others add further explanation or additional remarks...

Very hot area with a wide range of applications; Gives complete numerical analysis and recipes, which will enable readers to quickly apply the techniques to real problems; Includes two new techniques pioneered by Osher and...

Second order equations with nonnegative characteristic form constitute a new branch of the theory of partial differential equations, having arisen within the last 20 years, and having undergone a particularly intensive...

This book is a self-contained text devoted to the numerical determination of optimal inputs for system identification. It presents the current state of optimal inputs with extensive background material on optimization and...

-1. Opial-type inequalities for balanced fractional derivatives(Introduction, Background, Main Results, References). -2. Univariate right Caputo fractional Ostrowski inequalities (Introduction, Main Results, References). -3. Multivariate right Caputo...

This book is intended for students familiar with a beginner's version of differential and integral calculus stressing only manipulation offormulas and who are now looking for a closer study of basic concepts combined with a...

Even the simplest mathematical abstraction of the phenomena of reality­ the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the...

An introduction to analysis with the right mix of abstract theories and concrete problems. Starting with general measure theory, the book goes on to treat Borel and Radon measures and introduces the reader to Fourier analysis...

This substantially revised second edition teaches the bifurcation of asymptotic solutions to evolution problems governed by nonlinear differential equations. Written not just for mathematicians, it appeals to the widest...

A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory,...

This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric...

An introduction to nonstandard analysis based on a course given by the author. It is suitable for beginning graduates or upper undergraduates, or for self-study by anyone familiar with elementary real analysis. It presents...

In this text which gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics, the mathematics of tensor analysis is introduced in four, well-separated stages, and the physical...

This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or...

This monograph grew out of the notes relating to the lecture courses that I gave at the University of Helsinki from 1977 to 1979, at the Eidgenossische Technische Hochschule Zurich in 1980, and at the University of Minnesota in...

This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the...

This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. While presupposing in its readership a degree of mathematical maturity, it insists on no formal...

Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as...

The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex ...

This textbook gives an introduction to distribution theory with emphasis on applications using functional analysis. In more advanced parts of the book, pseudodi?erential methods are introduced. Distributiontheoryhasbeen...

Measure Theory and Lp Spaces.- Measures.- Lp Spaces.- The Direct Method and Lower Semicontinuity.- The Direct Method and Lower Semicontinuity.- ConvexAnalysis.- Functionals Defined on Lp.- Integrands f = f (z).- Integrands f = f (x, z).- Integrands f = f...

Fundamentals of Imaging.- Case Examples of Imaging.- Image and Noise Models.- Regularization.- Variational Regularization Methods for the Solution of Inverse Problems.- Convex Regularization Methods for Denoising.- Variational Calculus for Non-convex...

Convex sets and convex functions: the fundamentals.- Continuity and ?(X).- The derivatives and the subdifferential.- Minima and quasi minima.- The Fenchel conjugate.- Duality.- Linear programming and game theory.- Hypertopologies, hyperconvergences.-...

Observation, Control, and Stabilization.- Well-Posedness in a Riesz Basis Setting.- Observability of Strings.- Observability of Beams.- Vector Sum Estimates.- Problems on Spherical Domains.- Multidimensional Ingham-Type Theorems.- A General Ingham-Type...

An Elementary Treatise On The Calculus: With Illustrations From Geometry, Mechanics And Physics is a book written by George Alexander Gibson in 1901. The book is a comprehensive guide to calculus, a branch of mathematics that deals with rates of change...

An Elementary Treatise On Conic Sections is a book written by Charles Smith in 1883. The book is a comprehensive guide to the study of conic sections, which are curves that result from the intersection of a plane and a cone. The book covers the history...

""An Elementary Treatise On Analytic Mechanics: With Numerous Examples"" is a book written by Edward Albert Bowser and first published in 1884. The book is aimed at students and professionals in the field of mechanics who are interested in learning about...

""An Elementary Treatise On The Calculus, For Engineering Students: With Numerous Examples And Problems Worked Out"" is a book written by John Graham and published in 1896. The book is aimed at engineering students and provides a comprehensive...

""An Elementary Treatise On Curves, Functions, And Forces V2: Containing Calculus Of Imaginary Quantities, Residual Calculus, And Integral Calculus"" is a book written by Benjamin Peirce and originally published in 1846. This book is focused on the study...

These proceedings comprise a large part of the papers presented at the In­ ternational Conference Factorization, Singular Operators and related problems, which was held from January 28 to February 1, 2002, at the University of...

It is generally acknowledged that deterministic formulations of dy­ namical phenomena in the social sciences need to be treated differently from similar formulations in the natural sciences. Social science phe­ nomena typically...

For many, modern functional analysis dates back to Banach's book [Ba32]. Here, such powerful results as the Hahn-Banach theorem, the open-mapping theorem and the uniform boundedness principle were developed in the setting of...

It was noted in the preface of the book "Inequalities Involving Functions and Their Integrals and Derivatives", Kluwer Academic Publishers, 1991, by D.S. Mitrinovic, J.E. Pecaric and A.M. Fink; since the writing of the...

Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is...

Das Buch ""Erste Gr�����nde der Differential-, Integral- und Variationsrechnung: Zum Unterricht f�����r Anf�����nger und andere Liebhaber der Mathematik"" wurde im Jahr 1811 von Johann Karl Fischer ver������ffentlicht. Es ist ein Lehrbuch, das sich an...

""Einleitung in die Theorie der linearen Differentialgleichungen mit einer unabh�����ngigen Variablen"" ist ein Buch von Lothar Heffter, das im Jahr 1894 ver������ffentlicht wurde. Es ist ein Lehrbuch, das sich mit der Theorie der linearen...

Einleitung in die Theorie der bestimmten Integrale ist ein Buch von Johannes Thomae, das 1875 ver������ffentlicht wurde. Das Buch ist eine Einf�����hrung in die Theorie der bestimmten Integrale und richtet sich an Studenten der Mathematik. Es behandelt...

Das Buch ""Einleitung in die Theorie der Bessel'schen Funktionen, Books 1-2: Die Bessel'sche Funktion erster und zweiter Art"" wurde im Jahr 1900 von Johann Heinrich Graf ver������ffentlicht. Es handelt sich hierbei um eine Einf�����hrung in die Theorie...