Space Odes
Author: R. T. A. Parker
Publisher: Uea Publishing Project
Published: 2021-11
Total Pages: 0
ISBN-13: 9781913861346
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Mathematics for Physical Science and Engineering
Author: Frank E. Harris
Publisher: Academic Press
Published: 2014-05-24
Total Pages: 787
ISBN-13: 0128010495
DOWNLOAD EBOOKMathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration. This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science. - Clarifies each important concept to students through the use of a simple example and often an illustration - Provides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple) - Shows how symbolic computing enables solving a broad range of practical problems
Functional Equations in Mathematical Analysis
Author: Themistocles M. Rassias
Publisher: Springer Science & Business Media
Published: 2011-09-18
Total Pages: 744
ISBN-13: 1461400554
DOWNLOAD EBOOKThe stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research. This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. "Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.
An Introduction to Ordinary Differential Equations
Author: Earl A. Coddington
Publisher: Courier Corporation
Published: 2012-04-20
Total Pages: 306
ISBN-13: 0486131831
DOWNLOAD EBOOKA thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.
Odes to Lithium
Author: Shira Erlichman
Publisher: Alice James Books
Published: 2019-09-01
Total Pages: 101
ISBN-13: 1948579596
DOWNLOAD EBOOKCaptivating poems and visual art seek to bring comfort and solidarity to anyone living with Bipolar Disorder. In this remarkable debut, Shira Erlichman pens a love letter to Lithium, her medication for Bipolar Disorder. With inventiveness, compassion, and humor, she thrusts us into a world of unconventional praise. From an unexpected encounter with her grandmother’s ghost, to a bubble bath with Bjӧrk, to her plumber’s confession that he, too, has Bipolar, Erlichman buoyantly topples stigma against the mentally ill. These are necessary odes to self-acceptance, resilience, and the jagged path toward healing. With startling language, and accompanied by her bold drawings and collages, she gives us a sparkling, original view into what makes us human.
Linear Equations in Banach Spaces
Author: KREIN
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 112
ISBN-13: 1468480685
DOWNLOAD EBOOKINTRODUCTION . . . . . . xiii § 1. LINEAR EQUATIONS. BASIC NOTIONS . 3 § 2. EQUATIONS WITH A CLOSED OPERATOR 6 § 3. THE ADJOINT EQUATION . . . . . . 10 § 4. THE EQUATION ADJOINT TO THE FACTORED EQUATION. 17 § 5. AN EQUATION WITH A CLOSED OPERATOR WHICH HAS A DENSE DOMAIN 18 NORMALLY SOLVABLE EQUATIONS WITH FINITE DIMENSIONAL KERNEL. 22 § 6. A PRIORI ESTIMATES .. . . . . . 24 § 7. EQUATIONS WITH FINITE DEFECT . . . 27 § 8. § 9. SOME DIFFERENT ADJOINT EQUATIONS . 30 § 10. LINEAR TRANSFORMATIONS OF EQUATIONS 33 TRANSFORMATIONS OF d-NORMAL EQUATIONS . 38 § 11. § 12. NOETHERIAN EQUATIONS. INDEX. . . . . . 42 § 13. EQUATIONS WITH OPERATORS WHICH ACT IN A SINGLE SPACE 44 § 14. FREDHOLM EQUATIONS. REGULARIZATION OF EQUATIONS 46 § 15. LINEAR CHANGES OF VARIABLE . . . . . . . . 50 § 16. STABILITY OF THE PROPERTIES OF AN EQUATION 53 OVERDETERMINED EQUATIONS 59 § 17. § 18. UNDETERMINED EQUATIONS 62 § 19. INTEGRAL EQUATIONS . . . 65 DIFFERENTIAL EQUATIONS . 80 § 20. APPENDIX. BASIC RESULTS FROM FUNCTIONAL ANALYSIS USED IN THE TEXT 95 LITERATURE CITED . . . . . . . . . . . . . . . . . . .. . . . 99 . . PRE F ACE The basic material appearing in this book represents the substance v of a special series of lectures given by the author at Voronez University in 1968/69, and, in part, at Dagestan University in 1970.
The Making of 2001: A Space Odyssey
Author: Stephanie Schwam
Publisher: Modern Library
Published: 2010-07-21
Total Pages: 352
ISBN-13: 0307757609
DOWNLOAD EBOOK"If 2001 has stirred your emotions, your subconscious, your mythological yearnings, then it has succeeded."--Stanley Kubrick Stanley Kubrick's extraordinary movie 2001: A Space Odyssey was released in 1969. The critics initially disliked it, but the public loved it. And eventually, the film took its rightful place as one of the most innovative, brilliant, and pivotal works of modern cinema. The Making of 2001: A Space Odyssey consists of testimony from Kubrick's collaborators and commentary from critics and historians. This is the most complete book on the film to date--from Stanley Kubrick's first meeting with screenwriter Arthur C. Clarke to Kubrick's exhaustive research to the actual shooting and release of the movie.
Modeling Biological Systems
Author: James W. Haefner
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 486
ISBN-13: 1461541190
DOWNLOAD EBOOKThis book is intended as a text for a first course on creating and analyzing computer simulation models of biological systems. The expected audience for this book are students wishing to use dynamic models to interpret real data mueh as they would use standard statistical techniques. It is meant to provide both the essential principles as well as the details and equa tions applicable to a few particular systems and subdisciplines. Biological systems, however, encompass a vast, diverse array of topics and problems. This book discusses only a select number of these that I have found to be useful and interesting to biologists just beginning their appreciation of computer simulation. The examples chosen span classical mathematical models of well-studied systems to state-of-the-art topics such as cellular automata and artificial life. I have stressed the relationship between the models and the biology over mathematical analysis in order to give the reader a sense that mathematical models really are useful to biologists. In this light, I have sought examples that address fundamental and, I think, interesting biological questions. Almost all of the models are directly COIIl pared to quantitative data to provide at least a partial demonstration that some biological models can accurately predict.
Fourier Analysis and Partial Differential Equations
Author: Iorio Júnior Iorio Jr.
Publisher: Cambridge University Press
Published: 2001-03-15
Total Pages: 428
ISBN-13: 9780521621168
DOWNLOAD EBOOKThis book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrödinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems that do not occur in the periodic case.
Differential and Integral Equations through Practical Problems and Exercises
Author: G. Micula
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 403
ISBN-13: 9401580243
DOWNLOAD EBOOKMany important phenomena are described and modeled by means of differential and integral equations. To understand these phenomena necessarily implies being able to solve the differential and integral equations that model them. Such equations, and the development of techniques for solving them, have always held a privileged place in the mathematical sciences. Today, theoretical advances have led to more abstract and comprehensive theories which are increasingly more complex in their mathematical concepts. Theoretical investigations along these lines have led to even more abstract and comprehensive theories, and to increasingly complex mathematical concepts. Long-standing teaching practice has, however, shown that the theory of differential and integral equations cannot be studied thoroughly and understood by mere contemplation. This can only be achieved by acquiring the necessary techniques; and the best way to achieve this is by working through as many different exercises as possible. The eight chapters of this book contain a large number of problems and exercises, selected on the basis of long experience in teaching students, which together with the author's original problems cover the whole range of current methods employed in solving the integral, differential equations, and the partial differential equations of order one, without, however, renouncing the classical problems. Every chapter of this book begins with the succinct theoretical exposition of the minimum of knowledge required to solve the problems and exercises therein.
