Exploring ODEs

Exploring ODEs PDF

Author: Lloyd N.Trefethen

Publisher: SIAM

Published: 2017-12-21

Total Pages: 343

ISBN-13: 1611975158

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Exploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration.

Exploring ODEs

Exploring ODEs PDF

Author: Lloyd N. Trefethen

Publisher: SIAM

Published: 2017-12-21

Total Pages: 342

ISBN-13: 1611975166

DOWNLOAD EBOOK →

Exploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration.?

Revolutions in Differential Equations

Revolutions in Differential Equations PDF

Author: M. J. Kallaher

Publisher: Cambridge University Press

Published: 1999-11-11

Total Pages: 108

ISBN-13: 9780883851609

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Discusses the direction in which the field of differential equations, and its teaching, is going.

Approximation Theory and Approximation Practice, Extended Edition

Approximation Theory and Approximation Practice, Extended Edition PDF

Author: Lloyd N. Trefethen

Publisher: SIAM

Published: 2019-01-01

Total Pages: 375

ISBN-13: 1611975948

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This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.

Ordinary Differential Equations

Ordinary Differential Equations PDF

Author: Morris Tenenbaum

Publisher: Courier Corporation

Published: 1985-10-01

Total Pages: 852

ISBN-13: 0486649407

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Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

Evolutionary Dynamics

Evolutionary Dynamics PDF

Author: Martin A. Nowak

Publisher: Harvard University Press

Published: 2006-09-29

Total Pages: 390

ISBN-13: 0674417755

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At a time of unprecedented expansion in the life sciences, evolution is the one theory that transcends all of biology. Any observation of a living system must ultimately be interpreted in the context of its evolution. Evolutionary change is the consequence of mutation and natural selection, which are two concepts that can be described by mathematical equations. Evolutionary Dynamics is concerned with these equations of life. In this book, Martin A. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His work introduces readers to the powerful yet simple laws that govern the evolution of living systems, no matter how complicated they might seem. Evolution has become a mathematical theory, Nowak suggests, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics. His book presents a range of analytical tools that can be used to this end: fitness landscapes, mutation matrices, genomic sequence space, random drift, quasispecies, replicators, the Prisoner’s Dilemma, games in finite and infinite populations, evolutionary graph theory, games on grids, evolutionary kaleidoscopes, fractals, and spatial chaos. Nowak then shows how evolutionary dynamics applies to critical real-world problems, including the progression of viral diseases such as AIDS, the virulence of infectious agents, the unpredictable mutations that lead to cancer, the evolution of altruism, and even the evolution of human language. His book makes a clear and compelling case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.

Differential Equations

Differential Equations PDF

Author: H. S. Bear

Publisher: Courier Corporation

Published: 2013-10-30

Total Pages: 226

ISBN-13: 0486143643

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First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.

Crux Mathematicorum with Mathematical Mayhem

Crux Mathematicorum with Mathematical Mayhem PDF

Author:

Publisher:

Published: 2001

Total Pages: 622

ISBN-13:

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Problem-solving journal at the senior secondary and university undergraduate levels for those who practice or teach mathematics. Primarily educational in purpose, it also serves those who read it for professional, cultural and recreational reasons.

Ordinary Differential Equations and Their Solutions

Ordinary Differential Equations and Their Solutions PDF

Author: George Moseley Murphy

Publisher: Courier Corporation

Published: 2011-01-01

Total Pages: 466

ISBN-13: 0486485919

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This treatment presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that standard equations can be easily found. Plus, the substantial number and variety of equations promises an exact equation or a sufficiently similar one. 1960 edition.

Odes to Lithium

Odes to Lithium PDF

Author: Shira Erlichman

Publisher: Alice James Books

Published: 2019-09-01

Total Pages: 102

ISBN-13: 1948579596

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Captivating 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.