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تعداد نتایج: 522

Calculus: Theory And Applications, Volume 1

By Kenneth Kuttler
Publisher: World Scientific Publishing Company, 2010-12-28
Pages: 501
Language: en
ISBN_13:9789813100763
ISBN_10:9813100761
Subject: Mathematics

Calculus with Applications and Computing

جزئیات و درخواست

By Peter D. Lax, Samuel Z. Burstein, Anneli Lax
1972
Pages: 578
Language: en
OTHER:UOM:39015015686408
Subject: Calculus

Basic Theory

$This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.$

جزئیات و درخواست

By Anatoly Kochubei, Yuri Luchko
Publisher: Walter de Gruyter GmbH & Co KG, 2019-02-19
Pages: 683
Language: en
ISBN_13:9783110570632
ISBN_10:3110570637
Subject: Mathematics

Calculus, Volume 1

جزئیات و درخواست

By Tom M. Apostol
Publisher: John Wiley & Sons, 1991-01-16
Pages: 689
Language: en
ISBN_13:9780471000051
ISBN_10:0471000051
Subject: Mathematics

Calculus with Applications and Computing: Volume 1

$1 Real numbers.- 1.1 The algebra of numbers; a review.- 1.2 The number line.- 1.3 Infinite decimals.- 1.4 Convergent sequences.- 1.5* Infinite sums.- 1.6 The least upper bound.- Appendix 1.1 Irrationality of $$\sqrt{2}$$ and e.- Appendix 1.2 Floating point representation.- 2 Functions.- 2.1 The notion of a function.- 2.2* Functions of several variables.- 2.3 Composite functions.- 2.4 Sums, products, and quotients of functions.- 2.5 Graphs of functions.- 2.6 Linear functions.- 2.7 Continuous functions.- 2.8 Convergent sequences of functions.- 2.9 Algorithms.- Appendix 2.1 Partial fraction expansion.- 3 Differentiation.- 3.1 The derivative.- 3.2 Rules of differentiation.- 3.3 Increasing and decreasing functions.- 3.4 The geometric meaning of derivative.- 3.5 Maxima and minima.- 3.6 One-dimensional mechanics.- 3.7 Higher derviatives.- 3.8 Mean value theorems.- 3.9* Taylor's theorem.- 3.10* Newton's method for finding zeros of a function.- 3.11 Economics and the derivative.- 4 Integration.- 4.1 Examples of integrals.- 4.2 The integral.- 4.3* Existence of the integral.- 4.4 The fundamental theorem of calculus.- 4.5 Rules of integration and how to use them.- 4.6 The approximation of integrals.- 4.7* Improper integrals.- 5 Growth and decay.- 5.1 The exponential function.- 5.2 The logarithm.- 5.3 The computation of logarithms and exponentiels.- 6 Probability and its applications.- 6.1 Discrete probability.- 6.2 Information theory or how interesting is interesting.- 6.3 Continuous probability.- 6.4 Law of errors.- 6.5 Diffusion.- 7 Rotation and the trigonometric functions.- 7.1 Rotation.- 7.2 Properties of cosine, sine, arcsine, and arctan.- 7.3 The computation of cosine, sine, and arctan.- 7.4 Complex numbers.- 7.5 Isometries of the complex plane.- 7.6 Complex functions.- 7.7 Polar coordinates.- 7.8 Two-dimensional mechanics.- 8 Vibrations.- 8.1 The differential equation governing vibrations of a simple mechanical system.- 8.2 Dissipation and conservation of energy.- 8.3 Vibration without friction.- 8.4 Linear vibrations without friction.- 8.5 Linear vibrations with friction.- 8.6 Linear systems driven by an external force.- 8.7 An example of nonlinear vibration.- 8.8 Electrical systems.- 9 Population dynamics and chemical reactions.- 9.1 The differential equation.- 9.2 Growth and fluctuation of population.- 9.3 Mathematical theory of chemical reactions.- FORTRAN programs and instructions for their use.- P.1 The bisection method for finding a zero of a function.- P.2 A program to locate the maximum of a unimodal function.- P.3 Newton's method for finding a zero of a function.- P.4 Simpson's rule.$

جزئیات و درخواست

By Peter Lax, Samuel Z. Burstein, Anneli Lax
Publisher: Springer, 2012-04
Pages: 528
Language: en
ISBN_10:1468470582
ISBN_13:9781468470581
Subject: Mathematics

The Calculus Book

جزئیات و درخواست

By Louis Leithold
1971
Pages: 868
Language: en

A Course of Higher Mathematics

Adiwes International Series in Mathematics, Volume 1

جزئیات و درخواست

By V. I. Smirnov
Publisher: Elsevier, 2014-05-16
Pages: 558
Language: en
ISBN_13:9781483156361
ISBN_10:1483156362
Subject: Mathematics

Calculus of Variations

With Applications to Physics and Engineering

جزئیات و درخواست

By Robert Weinstock
Publisher: Courier Corporation, 1974-01-01
Pages: 354
Language: en
ISBN_10:0486630692
ISBN_13:9780486630694
Subject: Mathematics

Generalized Intuitionistic Multiplicative Fuzzy Calculus Theory and Applications

جزئیات و درخواست

By Shan Yu, Zeshui Xu
Publisher: Springer Nature, 2020-05-29
Pages: 131
Language: en
ISBN_13:9789811556128
ISBN_10:9811556121
Subject: Business & Economics

Calculus

Introductory Theory and Applications in Physical and Life Sc...

جزئیات و درخواست

By R. M. Johnson
Publisher: Elsevier, 1995-01-01
Pages: 337
Language: en
ISBN_13:9780857099860
ISBN_10:0857099868
Subject: Mathematics

Noncommutative Functional Calculus

Theory and Applications of Slice Hyperholomorphic Functions

جزئیات و درخواست

By Prof. Fabrizio Colombo Politecnico di Milano, Irene Sabadini, Daniele C. Struppa
Publisher: Springer Science & Business Media, 2011-03-18
Pages: 228
Language: en
ISBN_13:9783034801102
ISBN_10:3034801106
Subject: Mathematics

Shell Structures: Theory and Applications Volume 4

Proceedings of the 11th International Conference "Shell Stru...

جزئیات و درخواست

By Wojciech Pietraszkiewicz, Wojciech Witkowski
Publisher: CRC Press, 2017-10-30
Pages: 942
Language: en
ISBN_13:9781351680479
ISBN_10:1351680471
Subject: Technology & Engineering

Calculus, Volume I, 2nd Ed One-variable Calculus, with an Introduction to Linear Algebra

جزئیات و درخواست

By Tom M. Apostol
Publisher: John Wiley & Sons, 2007
Pages: 692
Language: en
ISBN_10:8126515198
ISBN_13:9788126515196
Subject: Calculus

Theory And Applications of Fractional Differential Equations

$This monograph provides the most recent and up-to-date developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus. The subject of fractional calculus and its applications (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. Some of the areas of present-day applications of fractional models include Fluid Flow, Solute Transport or Dynamical Processes in Self-Similar and Porous Structures, Diffusive Transport akin to Diffusion, Material Viscoelastic Theory, Electromagnetic Theory, Dynamics of Earthquakes, Control Theory of Dynamical Systems, Optics and Signal Processing, Bio-Sciences, Economics, Geology, Astrophysics, Probability and Statistics, Chemical Physics, and so on. In the above-mentioned areas, there are phenomena with estrange kinetics which have a microscopic complex behaviour, and their macroscopic dynamics can not be characterized by classical derivative models. The fractional modelling is an emergent tool which use fractional differential equations including derivatives of fractional order, that is, we can speak about a derivative of order 1/3, or square root of 2, and so on. Some of such fractional models can have solutions which are non-differentiable but continuous functions, such as Weierstrass type functions. Such kinds of properties are, obviously, impossible for the ordinary models. What are the useful properties of these fractional operators which help in the modelling of so many anomalous processes? From the point of view of the authors and from known experimental results, most of the processes associated with complex systems have non-local dynamics involving long-memory in time, and the fractional integral and fractional derivative operators do have some of those characteristics. This book is written primarily for the graduate students and researchers in many different disciplines in the mathematical, physical, engineering and so many others sciences, who are interested not only in learning about the various mathematical tools and techniques used in the theory and widespread applications of fractional differential equations, but also in further investigations which emerge naturally from (or which are motivated substantially by) the physical situations modelled mathematically in the book. This monograph consists of a total of eight chapters and a very extensive bibliography. The main objective of it is to complement the contents of the other books dedicated to the study and the applications of fractional differential equations. The aim of the book is to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy type problems involving nonlinear ordinary fractional differential equations, explicit solutions of linear differential equations and of the corresponding initial-value problems through different methods, closed-form solutions of ordinary and partial differential equations, and a theory of the so-called sequential linear fractional differential equations including a generalization of the classical Frobenius method, and also to include an interesting set of applications of the developed theory. Key features: - It is mainly application oriented. - It contains a complete theory of Fractional Differential Equations. - It can be used as a postgraduate-level textbook in many different disciplines within science and engineering. - It contains an up-to-date bibliography. - It provides problems and directions for further investigations. - Fractional Modelling is an emergent tool with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. - It contains many examples. - and so on!$

جزئیات و درخواست

By A. Anatolii Aleksandrovich Kilbas, Hari Mohan Srivastava, Juan J. Trujillo
Publisher: Elsevier Science Limited, 2006
Pages: 523
Language: en
ISBN_10:0444518320
ISBN_13:9780444518323
Subject: Mathematics

Calculus

جزئیات و درخواست

By Tom M. Apostol
Publisher: Wiley Global Education, 2019-04-26
Pages: 688
Language: en
ISBN_13:9781119528814
ISBN_10:111952881X
Subject: Mathematics

Advanced Calculus and Vector Field Theory

جزئیات و درخواست

By Kathleen M. Urwin
Publisher: Elsevier, 2014-06-05
Pages: 279
Language: en
ISBN_13:9781483195339
ISBN_10:1483195333
Subject: Mathematics

Differential and Integral Calculus, 2 Volume Set (Volume I Paper Edition; Volume II Cloth Edition)

جزئیات و درخواست

By Richard Courant, David Hilbert
Publisher: Wiley-Interscience, 1992-07-01
Pages: 1298
Language: en
ISBN_10:0471588814
ISBN_13:9780471588818
Subject: Mathematics

Fractional-Order Electrical Circuit Theory

$This book presents a concise and insightful view of the knowledge on fractional-order electrical circuits, which belongs to the subject of Electric Engineering and involves mathematics of fractional calculus. It offers an overview of fractional calculus and then describes and analyzes the basic theories and properties of fractional-order elements and fractional-order electrical circuit composed of fractional-order elements. Therein, the fundamental theorems, time-domain analysis, steady-state analysis, complex frequency domain analysis and state variable analysis of fractional-order electrical circuit are included. The fractional-order two-port networks and generalized fractional-order linear electrical circuits are also mentioned. Therefore, this book provides readers with enough background and understanding to go deeper into the topic of fractional-order electrical circuit, so that it is useful as a textbook for courses related to fractional-order elements, fractional-order electrical circuits, etc. This book is intended for students without an extensive mathematical background and is suitable for advanced undergraduate and graduate students, engineers and researchers who focus on the fractional-order elements, electrical circuits and systems.$

جزئیات و درخواست

By Bo Zhang, Xujian Shu
Publisher: Springer Nature, 2021-08-16
Pages: 310
Language: en
ISBN_13:9789811628221
ISBN_10:981162822X
Subject: Technology & Engineering

The Cauchy Method of Residues

Volume 2: Theory and Applications

جزئیات و درخواست

By Dragoslav S. Mitrinovic, J.D. Keckic
Publisher: Springer Science & Business Media, 2013-12-01
Pages: 206
Language: en
ISBN_13:9789401120005
ISBN_10:9401120005
Subject: Mathematics

Fractional Thermoelasticity

جزئیات و درخواست

By Yuriy Povstenko
Publisher: Springer Nature,
Pages: 457
Language: en
ISBN_13:9783031645877
ISBN_10:3031645871

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