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Introduction To Applied Mathematics

Introduction to Applied Mathematics PDF

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Author: Gilbert Strang
Publisher: Wellesley-Cambridge Press
ISBN: 9780961408800
Size: 40.95 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 760
View: 3707


Renowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman filtering and optimization. It clearly demonstrates the power of matrix algebra in engineering problem solving. This is an ideal book (beloved by many readers) for a first course on applied mathematics and a reference for more advanced applied mathematicians. The only prerequisite is a basic course in linear algebra.

Introduction To Applied Mathematics For Environmental Science

Introduction to Applied Mathematics for Environmental Science PDF

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Author: David F. Parkhurst
Publisher: Springer Science & Business Media
ISBN: 0387342281
Size: 48.61 MB
Format: PDF, ePub, Docs
Category : Science
Languages : en
Pages : 317
View: 7689


This book teaches mathematical structures and how they can be applied in environmental science. Each chapter presents story problems with an emphasis on derivation. For each of these, the discussion follows the pattern of first presenting an example of a type of structure as applied to environmental science. The definition of the structure is presented, followed by additional examples using MATLAB, and analytic methods of solving and learning from the structure.

Introduction To The Foundations Of Applied Mathematics

Introduction to the Foundations of Applied Mathematics PDF

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Author: Mark H. Holmes
Publisher: Springer Science & Business Media
ISBN: 0387877495
Size: 63.20 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 468
View: 6596


FOAM. This acronym has been used for over ?fty years at Rensselaer to designate an upper-division course entitled, Foundations of Applied Ma- ematics. This course was started by George Handelman in 1956, when he came to Rensselaer from the Carnegie Institute of Technology. His objective was to closely integrate mathematical and physical reasoning, and in the p- cess enable students to obtain a qualitative understanding of the world we live in. FOAM was soon taken over by a young faculty member, Lee Segel. About this time a similar course, Introduction to Applied Mathematics, was introduced by Chia-Ch’iao Lin at the Massachusetts Institute of Technology. Together Lin and Segel, with help from Handelman, produced one of the landmark textbooks in applied mathematics, Mathematics Applied to - terministic Problems in the Natural Sciences. This was originally published in 1974, and republished in 1988 by the Society for Industrial and Applied Mathematics, in their Classics Series. This textbook comes from the author teaching FOAM over the last few years. In this sense, it is an updated version of the Lin and Segel textbook.

An Introduction To Applied Mathematics

An Introduction to Applied Mathematics PDF

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Author: John Conrad Jaeger
Publisher:
ISBN:
Size: 74.91 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 445
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Applied Mathematics

Applied Mathematics PDF

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Author: Alain Goriely
Publisher: Oxford University Press
ISBN: 0198754043
Size: 31.42 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 168
View: 7032


Mathematics is playing an increasingly important role in society and the sciences, enhancing our ability to use models and handle data. While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world in which we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields. This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics and engineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Calculus

Calculus PDF

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Author: Harvey Philip Greenspan
Publisher: McGraw-Hill Ryerson Limited
ISBN:
Size: 40.89 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 836
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Differential Equations And Their Applications

Differential Equations and Their Applications PDF

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Author: Martin Braun
Publisher: Springer Science & Business Media
ISBN: 1461243602
Size: 78.86 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 578
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Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduction to differential equations and their applications. Fully understandable to students who have had one year of calculus, this book distinguishes itself from other differential equations texts through its engaging application of the subject matter to interesting scenarios. This fourth edition incorporates earlier introductory material on bifurcation theory and adds a new chapter on Sturm-Liouville boundary value problems. Computer programs in C, Pascal, and Fortran are presented throughout the text to show readers how to apply differential equations towards quantitative problems.

The Princeton Companion To Applied Mathematics

The Princeton Companion to Applied Mathematics PDF

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Author: Nicholas J. Higham
Publisher: Princeton University Press
ISBN: 1400874475
Size: 15.22 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 1016
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This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index

Number Theory

Number Theory PDF

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Author: Don Redmond
Publisher: CRC Press
ISBN: 9780824796969
Size: 61.56 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 772
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This text provides a detailed introduction to number theory, demonstrating how other areas of mathematics enter into the study of the properties of natural numbers. It contains problem sets within each section and at the end of each chapter to reinforce essential concepts, and includes up-to-date information on divisibility problems, polynomial congruence, the sums of squares and trigonometric sums.;Five or more copies may be ordered by college or university bookstores at a special price, available on application.

Computer Algebra In Applied Mathematics

Computer Algebra in Applied Mathematics PDF

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Author: Richard H. Rand
Publisher: Pitman Advanced Publishing Program
ISBN:
Size: 56.93 MB
Format: PDF, ePub, Docs
Category : Algebra
Languages : en
Pages : 181
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A Modern Introduction To The Mathematical Theory Of Water Waves

A Modern Introduction to the Mathematical Theory of Water Waves PDF

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Author: R. S. Johnson
Publisher: Cambridge University Press
ISBN: 9780521598323
Size: 68.73 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 445
View: 3083


This text considers classical and modern problems in linear and non-linear water-wave theory.

A Mathematical Introduction To Compressive Sensing

A Mathematical Introduction to Compressive Sensing PDF

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Author: Simon Foucart
Publisher: Springer Science & Business Media
ISBN: 0817649484
Size: 66.80 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 625
View: 3421


At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, an explosion of research activity has already followed the theoretical results that highlighted the efficiency of the basic principles. The elegant ideas behind these principles are also of independent interest to pure mathematicians. A Mathematical Introduction to Compressive Sensing gives a detailed account of the core theory upon which the field is build. With only moderate prerequisites, it is an excellent textbook for graduate courses in mathematics, engineering, and computer science. It also serves as a reliable resource for practitioners and researchers in these disciplines who want to acquire a careful understanding of the subject. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.

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