Complements Of Higher Mathematics
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Complements Of Higher Mathematics
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Author : Marin Marin
language : en
Publisher: Springer
Release Date : 2018-02-13
Complements Of Higher Mathematics written by Marin Marin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-13 with Technology & Engineering categories.
This book highlights the remarkable importance of special functions, operational calculus, and variational methods. A considerable portion of the book is dedicated to second-order partial differential equations, as they offer mathematical models of various phenomena in physics and engineering. The book provides students and researchers with essential help on key mathematical topics, which are applied to a range of practical problems. These topics were chosen because, after teaching university courses for many years, the authors have found them to be essential, especially in the contexts of technology, engineering and economics. Given the diversity topics included in the book, the presentation of each is limited to the basic notions and results of the respective mathematical domain. Chapter 1 is devoted to complex functions. Here, much emphasis is placed on the theory of holomorphic functions, which facilitate the understanding of the role that the theory of functions of a complex variable plays in mathematical physics, especially in the modeling of plane problems. In addition, the book demonstrates the importance of the theories of special functions, operational calculus, and variational calculus. In the last chapter, the authors discuss the basic elements of one of the most modern areas of mathematics, namely the theory of optimal control.
Higher Mathematics
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Author : Mansfield Merriman
language : en
Publisher:
Release Date : 1898
Higher Mathematics written by Mansfield Merriman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1898 with Error analysis (Mathematics) categories.
Higher Mathematics
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Author : Mansfield Merriman
language : en
Publisher:
Release Date : 1902
Higher Mathematics written by Mansfield Merriman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1902 with Mathematics categories.
A Discrete Transition To Advanced Mathematics
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Author : Bettina Richmond
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
A Discrete Transition To Advanced Mathematics written by Bettina Richmond and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
As the title indicates, this book is intended for courses aimed at bridging the gap between lower-level mathematics and advanced mathematics. The text provides a careful introduction to techniques for writing proofs and a logical development of topics based on intuitive understanding of concepts. The authors utilize a clear writing style and a wealth of examples to develop an understanding of discrete mathematics and critical thinking skills. While including many traditional topics, the text offers innovative material throughout. Surprising results are used to motivate the reader. The last three chapters address topics such as continued fractions, infinite arithmetic, and the interplay among Fibonacci numbers, Pascal's triangle, and the golden ratio, and may be used for independent reading assignments. The treatment of sequences may be used to introduce epsilon-delta proofs. The selection of topics provides flexibility for the instructor in a course designed to spark the interest of students through exciting material while preparing them for subsequent proof-based courses.
Advanced Mathematics For Applications
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Author : Andrea Prosperetti
language : en
Publisher: Cambridge University Press
Release Date : 2011-01-06
Advanced Mathematics For Applications written by Andrea Prosperetti and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-06 with Mathematics categories.
The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.
Advanced Mathematics For Engineers And Scientists
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Author : Paul DuChateau
language : en
Publisher: Courier Corporation
Release Date : 2013-01-17
Advanced Mathematics For Engineers And Scientists written by Paul DuChateau and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-17 with Mathematics categories.
This book can be used as either a primary text or a supplemental reference for courses in applied mathematics. Its core chapters are devoted to linear algebra, calculus, and ordinary differential equations. Additional topics include partial differential equations and approximation methods. Each chapter features an ample selection of solved problems. These problems were chosen to illustrate not only how to solve various algebraic and differential equations but also how to interpret the solutions in order to gain insight into the behavior of the system modeled by the equation. In addition to the worked-out problems, numerous examples and exercises appear throughout the text.
Maths In Action Higher Mathematics Preparation For Assessment
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Author : Edward C. K. Mullan
language : en
Publisher: Nelson Thornes
Release Date : 2014-11
Maths In Action Higher Mathematics Preparation For Assessment written by Edward C. K. Mullan and has been published by Nelson Thornes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11 with Juvenile Nonfiction categories.
This new book provides additional practice exercises matched precisely to the performance criteria for all four units of Higher Mathematics. It prepares students for internal Unit Tests and external Course Assessments in Mathematics and Statistics.
A Bridge To Advanced Mathematics
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Author : Sebastian M. Cioabă
language : en
Publisher: American Mathematical Society
Release Date : 2022-12-21
A Bridge To Advanced Mathematics written by Sebastian M. Cioabă and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-21 with Mathematics categories.
Most introduction to proofs textbooks focus on the structure of rigorous mathematical language and only use mathematical topics incidentally as illustrations and exercises. In contrast, this book gives students practice in proof writing while simultaneously providing a rigorous introduction to number systems and their properties. Understanding the properties of these systems is necessary throughout higher mathematics. The book is an ideal introduction to mathematical reasoning and proof techniques, building on familiar content to ensure comprehension of more advanced topics in abstract algebra and real analysis with over 700 exercises as well as many examples throughout. Readers will learn and practice writing proofs related to new abstract concepts while learning new mathematical content. The first task is analogous to practicing soccer while the second is akin to playing soccer in a real match. The authors believe that all students should practice and play mathematics. The book is written for students who already have some familiarity with formal proof writing but would like to have some extra preparation before taking higher mathematics courses like abstract algebra and real analysis.
The Elements Of Advanced Mathematics
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Author : Steven G. Krantz
language : en
Publisher: CRC Press
Release Date : 2017-11-02
The Elements Of Advanced Mathematics written by Steven G. Krantz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-02 with Mathematics categories.
The Elements of Advanced Mathematics, Fourth Edition is the latest edition of the author’s bestselling series of texts. Expanding on previous editions, the new Edition continues to provide students with a better understanding of proofs, a core concept for higher level mathematics. To meet the needs of instructors, the text is aligned directly with course requirements. The author connects computationally and theoretically based mathematics, helping students develop a foundation for higher level mathematics. To make the book more pertinent, the author removed obscure topics and included a chapter on elementary number theory. Students gain the momentum to further explore mathematics in the real world through an introduction to cryptography. These additions, along with new exercises and proof techniques, will provide readers with a strong and relevant command of mathematics. Presents a concise presentation of the material Covers logic, sets and moves to more advanced topics including topology Provides greater coverage of number theory and cryptography Streamlined to focus on the core of this course
The Quest For Reality Bohr And Wittgenstein Two Complementary Views
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Author : Stig Stenholm
language : en
Publisher: Oxford University Press
Release Date : 2011-06-30
The Quest For Reality Bohr And Wittgenstein Two Complementary Views written by Stig Stenholm and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-30 with Biography & Autobiography categories.
In both science and philosophy, the twentieth century saw a radical breakdown of certainty in the human worldview. Quantum theorist Stig Stenholm presents Bohr and Wittgenstein as central figures undertaking the necessary replacement of apparent order and certainty with an understanding based on limited concepts in constant flux.