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Higher Order Derivatives

Higher Order Derivatives PDF Author: Satya Mukhopadhyay
Publisher: CRC Press
ISBN: 1439880476
Category : Mathematics
Languages : en
Pages : 222

Book Description
The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, nth order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers higher order generalized derivatives, including the Peano, d.l.V.P., and Abel derivatives; along with the symmetric and unsymmetric Riemann, Cesàro, Borel, LP-, and Laplace derivatives. Although much work has been done on the Peano and de la Vallée Poussin derivatives, there is a large amount of work to be done on the other higher order derivatives as their properties remain often virtually unexplored. This book introduces newcomers interested in the field of higher order derivatives to the present state of knowledge. Basic advanced real analysis is the only required background, and, although the special Denjoy integral has been used, knowledge of the Lebesgue integral should suffice.

Higher Order Derivatives

Higher Order Derivatives PDF Author: Satya Mukhopadhyay
Publisher: CRC Press
ISBN: 1439880476
Category : Mathematics
Languages : en
Pages : 222

Book Description
The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, nth order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers higher order generalized derivatives, including the Peano, d.l.V.P., and Abel derivatives; along with the symmetric and unsymmetric Riemann, Cesàro, Borel, LP-, and Laplace derivatives. Although much work has been done on the Peano and de la Vallée Poussin derivatives, there is a large amount of work to be done on the other higher order derivatives as their properties remain often virtually unexplored. This book introduces newcomers interested in the field of higher order derivatives to the present state of knowledge. Basic advanced real analysis is the only required background, and, although the special Denjoy integral has been used, knowledge of the Lebesgue integral should suffice.

Yet Another Calculus Text

Yet Another Calculus Text PDF Author: Dan Sloughter
Publisher: Orange Grove Texts Plus
ISBN: 9781616100896
Category :
Languages : en
Pages : 0

Book Description


Communications and Cryptography

Communications and Cryptography PDF Author: Richard E. Blahut
Publisher: Springer Science & Business Media
ISBN: 1461526949
Category : Technology & Engineering
Languages : en
Pages : 473

Book Description
Information theory is an exceptional field in many ways. Technically, it is one of the rare fields in which mathematical results and insights have led directly to significant engineering payoffs. Professionally, it is a field that has sustained a remarkable degree of community, collegiality and high standards. James L. Massey, whose work in the field is honored here, embodies the highest standards of the profession in his own career. The book covers the latest work on: block coding, convolutional coding, cryptography, and information theory. The 44 contributions represent a cross-section of the world's leading scholars, scientists and researchers in information theory and communication. The book is rounded off with an index and a bibliography of publications by James Massey.

Evaluating Derivatives

Evaluating Derivatives PDF Author: Andreas Griewank
Publisher: SIAM
ISBN: 0898716594
Category : Mathematics
Languages : en
Pages : 448

Book Description
This title is a comprehensive treatment of algorithmic, or automatic, differentiation. The second edition covers recent developments in applications and theory, including an elegant NP completeness argument and an introduction to scarcity.

Active Calculus 2018

Active Calculus 2018 PDF Author: Matthew Boelkins
Publisher: Createspace Independent Publishing Platform
ISBN: 9781724458322
Category :
Languages : en
Pages : 560

Book Description
Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.

APEX Calculus

APEX Calculus PDF Author: Gregory Hartman
Publisher:
ISBN: 9781514225158
Category : Calculus
Languages : en
Pages : 0

Book Description
APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

Perturbation Bounds for Matrix Eigenvalues

Perturbation Bounds for Matrix Eigenvalues PDF Author: Rajendra Bhatia
Publisher: SIAM
ISBN: 0898716314
Category : Mathematics
Languages : en
Pages : 200

Book Description
For the SIAM Classics edition, the author has added over 60 pages of material covering recent results and discussing the important advances made in the last two decades. It is an excellent research reference for all those interested in operator theory, linear algebra, and numerical analysis.

Value-Distribution of L-Functions

Value-Distribution of L-Functions PDF Author: Jörn Steuding
Publisher: Springer
ISBN: 3540448225
Category : Mathematics
Languages : en
Pages : 320

Book Description
These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. Universality has a strong impact on the zero-distribution: Riemann’s hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. The text proves universality for polynomial Euler products. The authors’ approach follows mainly Bagchi's probabilistic method. Discussion touches on related topics: almost periodicity, density estimates, Nevanlinna theory, and functional independence.

Development of a General Formula Expanding the Higher-order Derivatives of the Function Tanh Z in Powers of Tanh Z and A-numbers

Development of a General Formula Expanding the Higher-order Derivatives of the Function Tanh Z in Powers of Tanh Z and A-numbers PDF Author: Hans H. Hosenthien
Publisher:
ISBN:
Category : Exponential functions
Languages : en
Pages : 18

Book Description


Advanced Calculus (Revised Edition)

Advanced Calculus (Revised Edition) PDF Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595

Book Description
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.