Calculus Theory And Applications Volume 1

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Calculus: Theory And Applications, Volume 1

Kenneth Kuttler
Calculus Theory And Applications Volume 1 Book PDF

Author : Kenneth Kuttler
Publisher : World Scientific Publishing Company
Page : 500 pages
File Size : 42,5 Mb
Release : 2010-12-28
Category : Mathematics
ISBN : 9789813100763

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Calculus: Theory And Applications, Volume 1 by Kenneth Kuttler Pdf

This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products which is developed further in Volume 2.While the book does include all the proofs of the theorems, many of the applications are presented more simply and less formally than is often the case in similar titles.

Calculus

Kenneth Kuttler
Calculus Book PDF

Author : Kenneth Kuttler
Publisher : World Scientific
Page : 501 pages
File Size : 40,5 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814324267

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Calculus by Kenneth Kuttler Pdf

This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products which is developed further in Volume 2. While the book does include all the proofs of the theorems, many of the applications are presented more simply and less formally than is often the case in similar titles. Supplementary materials are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected]. This book is also available as a set with Volume 2: CALCULUS: Theory and Applications.

Calculus

Kenneth Kuttler
Calculus Book PDF

Author : Kenneth Kuttler
Publisher : World Scientific
Page : 423 pages
File Size : 49,5 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814324274

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Calculus by Kenneth Kuttler Pdf

Summary: This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products which is developed further in Volume 2. While the book does include all the proofs of the theorems, many of the applications are presented more simply and less formally than is often the case in similar titles.

Advanced Calculus

Lynn Harold Loomis,Shlomo Sternberg
Advanced Calculus Book PDF

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 44,7 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

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.

Calculus: Theory And Applications

Kuttler Kenneth
Calculus Theory And Applications Book PDF

Author : Kuttler Kenneth
Publisher : World Scientific Publishing Company
Page : 424 pages
File Size : 50,9 Mb
Release : 2011-01-10
Category : Mathematics
ISBN : 9789813100756

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Calculus: Theory And Applications by Kuttler Kenneth Pdf

This is a book on many variable calculus. It is the second volume of a set of two. It includes proofs of all theorems presented, either in the text itself, or in an appendix. It also includes a sufficient introduction to linear algebra to allow the accurate presentation of many variable calculus.The use of elementary linear algebra in presenting the topics of multi- variable calculus is more extensive than usual in this book. It makes many of these topics easier to understand and remember. The book will prepare readers for more advanced math courses and also for courses in physical science.

The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order

Anonim
The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order Book PDF

Author : Anonim
Publisher : Elsevier
Page : 322 pages
File Size : 45,8 Mb
Release : 1974-09-05
Category : Mathematics
ISBN : 0080956203

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The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order by Anonim Pdf

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Noncommutative Functional Calculus

Prof. Fabrizio Colombo Politecnico di Milano,Irene Sabadini,Daniele C. Struppa
Noncommutative Functional Calculus Book PDF

Author : Prof. Fabrizio Colombo Politecnico di Milano,Irene Sabadini,Daniele C. Struppa
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 55,6 Mb
Release : 2011-03-18
Category : Mathematics
ISBN : 9783034801102

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Noncommutative Functional Calculus by Prof. Fabrizio Colombo Politecnico di Milano,Irene Sabadini,Daniele C. Struppa Pdf

This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions. Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory, hypercomplex analysis, and mathematical physics.

Calculus

Gilbert Strang,Edwin Prine Herman
Calculus Book PDF

Author : Gilbert Strang,Edwin Prine Herman
Publisher : Unknown
Page : 824 pages
File Size : 49,5 Mb
Release : 2016-03-07
Category : Calculus
ISBN : 1938168062

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Calculus by Gilbert Strang,Edwin Prine Herman Pdf

"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Fractional Calculus

Varsha Daftardar-Gejji
Fractional Calculus Book PDF

Author : Varsha Daftardar-Gejji
Publisher : ALPHA SCIENCE INTERNATIONAL LIMITED
Page : 232 pages
File Size : 43,7 Mb
Release : 2013-07-26
Category : Mathematics
ISBN : 9788184874785

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Fractional Calculus by Varsha Daftardar-Gejji Pdf

FRACTIONAL CALCULUS: Theory and Applications deals with differentiation and integration of arbitrary order. The origin of this subject can be traced back to the end of seventeenth century, the time when Newton and Leibniz developed foundations of differential and integral calculus. Nonetheless, utility and applicability of FC to various branches of science and engineering have been realized only in last few decades. Recent years have witnessed tremendous upsurge in research activities related to the applications of FC in modeling of real-world systems. Unlike the derivatives of integral order, the non-local nature of fractional derivatives correctly models many natural phenomena containing long memory and give more accurate description than their integer counterparts.The present book comprises of contributions from academicians and leading researchers and gives a panoramic overview of various aspects of this subject: Introduction to Fractional Calculus Fractional Differential Equations Fractional Ordered Dynamical Systems Fractional Operators on Fractals Local Fractional Derivatives Fractional Control Systems Fractional Operators and Statistical Distributions Applications to Engineering

Operator Calculus On Graphs: Theory And Applications In Computer Science

Staples George Stacey,Schott Rene
Operator Calculus On Graphs Theory And Applications In Computer Science Book PDF

Author : Staples George Stacey,Schott Rene
Publisher : World Scientific
Page : 428 pages
File Size : 43,7 Mb
Release : 2012-02-23
Category : Mathematics
ISBN : 9781908977571

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Operator Calculus On Graphs: Theory And Applications In Computer Science by Staples George Stacey,Schott Rene Pdf

This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science.Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations.

The Implicit Function Theorem

Steven G. Krantz,Harold R. Parks
The Implicit Function Theorem Book PDF

Author : Steven G. Krantz,Harold R. Parks
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 53,6 Mb
Release : 2012-11-26
Category : Mathematics
ISBN : 9781461200598

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The Implicit Function Theorem by Steven G. Krantz,Harold R. Parks Pdf

The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for C^k functions, (ii) formulations in other function spaces, (iii) formulations for non- smooth functions, (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash--Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present volume. The history of the implicit function theorem is a lively and complex story, and is intimately bound up with the development of fundamental ideas in analysis and geometry. This entire development, together with mathematical examples and proofs, is recounted for the first time here. It is an exciting tale, and it continues to evolve. "The Implicit Function Theorem" is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas.

Optimization—Theory and Applications

L. Cesari
Optimization Theory and Applications Book PDF

Author : L. Cesari
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461381655

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Optimization—Theory and Applications by L. Cesari Pdf

This book has grown out of lectures and courses in calculus of variations and optimization taught for many years at the University of Michigan to graduate students at various stages of their careers, and always to a mixed audience of students in mathematics and engineering. It attempts to present a balanced view of the subject, giving some emphasis to its connections with the classical theory and to a number of those problems of economics and engineering which have motivated so many of the present developments, as well as presenting aspects of the current theory, particularly value theory and existence theorems. However, the presentation ofthe theory is connected to and accompanied by many concrete problems of optimization, classical and modern, some more technical and some less so, some discussed in detail and some only sketched or proposed as exercises. No single part of the subject (such as the existence theorems, or the more traditional approach based on necessary conditions and on sufficient conditions, or the more recent one based on value function theory) can give a sufficient representation of the whole subject. This holds particularly for the existence theorems, some of which have been conceived to apply to certain large classes of problems of optimization. For all these reasons it is essential to present many examples (Chapters 3 and 6) before the existence theorems (Chapters 9 and 11-16), and to investigate these examples by means of the usual necessary conditions, sufficient conditions, and value function theory.

Exterior Calculus: Theory and Cases

Carlos Polanco
Exterior Calculus Theory and Cases Book PDF

Author : Carlos Polanco
Publisher : Bentham Science Publishers
Page : 141 pages
File Size : 49,8 Mb
Release : 2021-09-01
Category : Mathematics
ISBN : 9789814998796

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Exterior Calculus: Theory and Cases by Carlos Polanco Pdf

Exterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore generalizes the fundamental theorem of calculus to Stokes' theorem. This textbook covers the fundamental requirements of exterior calculus in curricula for college students in mathematics and engineering programs. Chapters start from Heaviside-Gibbs algebra, and progress to different concepts in Grassman algebra. The final section of the book covers applications of exterior calculus with solutions. Readers will find a concise and clear study of vector calculus and differential geometry, along with several examples and exercises. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about exterior calculus as part of their college curriculum and equip themselves with the knowledge to apply relevant theoretical concepts in practical situations.

Stochastic Calculus and Financial Applications

J. Michael Steele
Stochastic Calculus and Financial Applications Book PDF

Author : J. Michael Steele
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468493054

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Stochastic Calculus and Financial Applications by J. Michael Steele Pdf

Stochastic calculus has important applications to mathematical finance. This book will appeal to practitioners and students who want an elementary introduction to these areas. From the reviews: "As the preface says, ‘This is a text with an attitude, and it is designed to reflect, wherever possible and appropriate, a prejudice for the concrete over the abstract’. This is also reflected in the style of writing which is unusually lively for a mathematics book." --ZENTRALBLATT MATH

Shell Structures: Theory and Applications Volume 4

Wojciech Pietraszkiewicz,Wojciech Witkowski
Shell Structures Theory and Applications Volume 4 Book PDF

Author : Wojciech Pietraszkiewicz,Wojciech Witkowski
Publisher : CRC Press
Page : 1012 pages
File Size : 51,9 Mb
Release : 2017-10-30
Category : Technology & Engineering
ISBN : 9781351680479

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Shell Structures: Theory and Applications Volume 4 by Wojciech Pietraszkiewicz,Wojciech Witkowski Pdf

Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.