Advanced Calculus Partial Differential Equations

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ADVANCED CALCULUS & PARTIAL DIFFERENTIAL EQUATIONS

Author : B.R. THAKUR
Publisher : Ram Prasad Publications(R.P.H.)
ISBN 13 : 8195625150
Total Pages : 559 pages
Book Rating : 4.1/5 (956 download)

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Book Synopsis ADVANCED CALCULUS & PARTIAL DIFFERENTIAL EQUATIONS by : B.R. THAKUR

Download or read book ADVANCED CALCULUS & PARTIAL DIFFERENTIAL EQUATIONS written by B.R. THAKUR and published by Ram Prasad Publications(R.P.H.). This book was released on with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unit-I 0. Historical Background .... i-iii 1. Field Structure and Ordered Structure of R, Intervals, Bounded and unbounded sets, Supremum and infimum, Completeness in R, Absolute value of a real Number .... 1-33 2. Sequence of Real Numbers, Limit of a Sequence, Bounded and Monotonic Sequences, Cauchy’s General Principle of Convergence, Algebra of Sequence and Some Important Theorems .... 34-80 Unit-II 3. Series of non-negative terms, Convergence of positive term series .... 81-146 4. Alternating Series and Leibrintr’s test, Absolute and conditional convergence of Series of real Terms .... 147-163 5. Uniform Continuity .... 164-185 6. Chain Rule of Differentiability .... 186-202 7. Mean Value Theorems and Their Geometrical Interpretations .... 203-228 Unit-III 8. Limit and continuity of functions of two variables .... 229-256 9. Change of Variables .... 257-280 10. Euler’s Theorem on Homogeneous Functions .... 281-294 11. Taylor’s Theorem For functions of two Variables .... 295-307 12. Jacobians .... 308-337 13. Maxima and Minima of Functions of Two Variables .... 338-354 14. Lagrange’s Multipliers Method .... 355-367 15. Beta and Gamma Functions .... 368-395 Unit-IV 16. Partial Differential Equations of The first order .... 396-415 17. Lagrange’s Solution .... 416-440 18. Some Special types of equations which can be solved easily by methods other than the general method .... 441-462 19. Charpit’s General Method .... 463-474 20. Partial Differential Equation of Second and Higher Order .... 475-485 Unit-V 21. Classification of Partial Differential Equations of Second Order .... 486-494 22. Homogeneous and Non-homogeneous Partial Differential Equations of Constant coefficients .... 495-541 23. Partial Differential Equations Reducible to Equtions with Constant Coefficients .... 542-551

Advanced Calculus (Revised Edition)

Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced Calculus for Applications

Author : Francis Begnaud Hildebrand
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 760 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advanced Calculus for Applications by : Francis Begnaud Hildebrand

Download or read book Advanced Calculus for Applications written by Francis Begnaud Hildebrand and published by Prentice Hall. This book was released on 1976 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text provides advanced undergraduates with the necessary background in advanced calculus topics, providing the foundation for partial differential equations and analysis. Readers of this text should be well-prepared to study from graduate-level texts and publications of similar level. KEY TOPICS: Ordinary Differential Equations; The Laplace Transform; Numerical Methods for Solving Ordinary Differential Equations; Series Solutions of Differential Equations: Special Functions; Boundary-Value Problems and Characteristic-Function Representations; Vector Analysis; Topics in Higher-Dimensional Calculus; Partial Differential Equations; Solutions of Partial Differential Equations of Mathematical Physics; Functions of a Complex Variable; Applications of Analytic Function Theory MARKET: For all readers interested in advanced calculus.

Introduction to Partial Differential Equations with Applications

Author : E. C. Zachmanoglou
Publisher : Courier Corporation
ISBN 13 : 048613217X
Total Pages : 434 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Partial Differential Equations with Applications by : E. C. Zachmanoglou

Download or read book Introduction to Partial Differential Equations with Applications written by E. C. Zachmanoglou and published by Courier Corporation. This book was released on 2012-04-20 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

Advanced Calculus

Author : Edwin Bidwell Wilson
Publisher :
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Advanced Calculus by : Edwin Bidwell Wilson

Download or read book Advanced Calculus written by Edwin Bidwell Wilson and published by . This book was released on 1911 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Calculus

Author : David V. Widder
Publisher : Courier Corporation
ISBN 13 : 0486134660
Total Pages : 548 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Advanced Calculus by : David V. Widder

Download or read book Advanced Calculus written by David V. Widder and published by Courier Corporation. This book was released on 2012-05-23 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.

Advanced Calculus

Author : Wilfred Kaplan
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 744 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advanced Calculus by : Wilfred Kaplan

Download or read book Advanced Calculus written by Wilfred Kaplan and published by Addison Wesley Publishing Company. This book was released on 1984 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fifth Edition of this leading text offers substantial training in vectors and matrices, vector analysis, and partial differential equations. Vectors are introduced at the outset and serve at many points to indicate geometrical and physical significance of mathematical relations. Numerical methods are touched upon at various points, because of their practical value and the insights they give about theory. Vectors and Matrices; Differential Calculus of Functions of Several Variables; Vector Differential Calculus; Integral Calculus of Functions of Several Variables; Vector Integral Calculus; Two-Dimensional Theory; Three-Dimensional Theory and Applications; Infinite Series; Fourier Series and Orthogonal Functions; Functions of a Complex Variable; Ordinary Differential Equations; Partial Differential Equations For all readers interested in advanced calculus.

An Introduction to Partial Differential Equations

Author : Michael Renardy
Publisher : Springer Science & Business Media
ISBN 13 : 0387216871
Total Pages : 447 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis An Introduction to Partial Differential Equations by : Michael Renardy

Download or read book An Introduction to Partial Differential Equations written by Michael Renardy and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

Advanced Calculus

Author : Frederick Shenstone Woods
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Advanced Calculus by : Frederick Shenstone Woods

Download or read book Advanced Calculus written by Frederick Shenstone Woods and published by . This book was released on 1926 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations of Mathematical Physics

Author : S. L. Sobolev
Publisher : Courier Corporation
ISBN 13 : 9780486659640
Total Pages : 452 pages
Book Rating : 4.6/5 (596 download)

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Book Synopsis Partial Differential Equations of Mathematical Physics by : S. L. Sobolev

Download or read book Partial Differential Equations of Mathematical Physics written by S. L. Sobolev and published by Courier Corporation. This book was released on 1964-01-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.

Advanced Calculus for Applications

Author : Francis B. Hildebrand
Publisher :
ISBN 13 : 9780758160027
Total Pages : 646 pages
Book Rating : 4.1/5 (6 download)

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Book Synopsis Advanced Calculus for Applications by : Francis B. Hildebrand

Download or read book Advanced Calculus for Applications written by Francis B. Hildebrand and published by . This book was released on 2003-01 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applications of Functional Analysis and Operator Theory

Author : V. Hutson
Publisher : Elsevier
ISBN 13 : 0080527310
Total Pages : 442 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Applications of Functional Analysis and Operator Theory by : V. Hutson

Download or read book Applications of Functional Analysis and Operator Theory written by V. Hutson and published by Elsevier. This book was released on 2005-02-08 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces. Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results Introduces each new topic with a clear, concise explanation Includes numerous examples linking fundamental principles with applications Solidifies the reader's understanding with numerous end-of-chapter problems

Partial Differential Equations

Author : Walter A. Strauss
Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Partial Differential Equations by : Walter A. Strauss

Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.

Advanced Calculus. Exercieses. Vol 2

Author : Vladimir Zhivetin
Publisher : Риски и безопасность
ISBN 13 : 5903140068
Total Pages : 12 pages
Book Rating : 4.9/5 (31 download)

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Book Synopsis Advanced Calculus. Exercieses. Vol 2 by : Vladimir Zhivetin

Download or read book Advanced Calculus. Exercieses. Vol 2 written by Vladimir Zhivetin and published by Риски и безопасность. This book was released on 2007 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Select Ideas in Partial Differential Equations

Author : Peter J Costa
Publisher : Springer Nature
ISBN 13 : 3031024346
Total Pages : 228 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Select Ideas in Partial Differential Equations by : Peter J Costa

Download or read book Select Ideas in Partial Differential Equations written by Peter J Costa and published by Springer Nature. This book was released on 2022-06-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides an introduction to the applications and implementations of partial differential equations. The content is structured in three progressive levels which are suited for upper–level undergraduates with background in multivariable calculus and elementary linear algebra (chapters 1–5), first– and second–year graduate students who have taken advanced calculus and real analysis (chapters 6-7), as well as doctoral-level students with an understanding of linear and nonlinear functional analysis (chapters 7-8) respectively. Level one gives readers a full exposure to the fundamental linear partial differential equations of physics. It details methods to understand and solve these equations leading ultimately to solutions of Maxwell’s equations. Level two addresses nonlinearity and provides examples of separation of variables, linearizing change of variables, and the inverse scattering transform for select nonlinear partial differential equations. Level three presents rich sources of advanced techniques and strategies for the study of nonlinear partial differential equations, including unique and previously unpublished results. Ultimately the text aims to familiarize readers in applied mathematics, physics, and engineering with some of the myriad techniques that have been developed to model and solve linear and nonlinear partial differential equations.

Partial Differential Equations

Author : Harold Levine
Publisher : American Mathematical Soc.
ISBN 13 : 0821807757
Total Pages : 726 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Partial Differential Equations by : Harold Levine

Download or read book Partial Differential Equations written by Harold Levine and published by American Mathematical Soc.. This book was released on 1997 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject matter partial differential equations (PDEs) has a long history dating from the 18th century and an active contemporary phase. An early phase (with a separate focus on taut string vibrations and heat flow through solid bodies) stimulated developments of great importance for mathematical analysis, such as a wider concept of functions and integration, and the existence of trigonometric or Fourier series representations. The direct relevance of PDEs to all manner of mathematical, physical, and technical problems continues. This book presents a reasonably broad introductory account of the subject, with due regard for analytical detail, applications, and historical matters.

Advanced Calculus

Author : Tomá¿ Kisela
Publisher :
ISBN 13 : 9781681178998
Total Pages : 346 pages
Book Rating : 4.1/5 (789 download)

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Book Synopsis Advanced Calculus by : Tomá¿ Kisela

Download or read book Advanced Calculus written by Tomá¿ Kisela and published by . This book was released on 2018-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is a very multipurpose and valuable tool. It is one of the greatest inventions of modern science. There is just so much it can offer. The success of calculus has been extended over time into various other important topics in mathematics. Some are: differential equations, vector calculus, calculus of variations, complex analysis and differential topology. Calculus is intensely integrated in every branch of the physical sciences, such as physics and biology. It is found in computer science, statistics, and engineering; in economics, business, and medicine. Modern developments such as architecture, aviation, and other technologies all make use of what calculus can offer. This book "Advanced Calculus" is intended to present coverage on harmonic analysis, integral transforms and equations, ordinary and partial differential equations, measure and integration, sequences and series, functional analysis, functions of real and complex variables, approximation and expansions. It gives an exposition of methods for approximating integrals, including those that are multidimensional. Applications of some of these methods in statistics are discussed. This subject area has recently gained prominence in several fields of science and engineering, and, in particular, Bayesian statistics. The material should be helpful to readers who may be interested in pursuing further studies in this area. Advanced calculus has had a fundamental and seminal role in the development of the basic theory underlying statistical methodology. With the rapid growth of statistics as a discipline, particularly in the last three decades, knowledge of advanced calculus has become imperative for understanding the recent advances in this field. Students as well as research workers in statistics are expected to have a certain level of mathematical sophistication in order to cope with the intricacies necessitated by the emerging of new statistical methodologies. This book is unique also in its special attention to the needs of applications and due to its unusually elaborate motivations coming from the history of mathematics and applications. This book is designed for advanced graduate students, practitioners as well as for those who are novice researchers in this field.