Fundamentals of Advanced Mathematics 1

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  • Publisher : Elsevier
  • Release : 10 July 2017
  • ISBN : 9780081021125
  • Page : 268 pages
  • Rating : 4.5/5 from 103 voters

Fundamentals of Advanced Mathematics 1 Book PDF summary

This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations). The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients. Part of the New Mathematical Methods, Systems, and Applications series Presents the notions, results, and proofs necessary to understand and master the various topics Provides a unified notation, making the task easier for the reader. Includes several summaries of mathematics for engineers

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Fundamentals of Advanced Mathematics 1

Fundamentals of Advanced Mathematics 1
  • Author : Henri Bourles
  • Publisher : Elsevier
  • Release Date : 2017-07-10
  • ISBN : 9780081021125
DOWNLOAD BOOKFundamentals of Advanced Mathematics 1

This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed.

Fundamentals of Advanced Mathematics V3

Fundamentals of Advanced Mathematics V3
  • Author : Henri Bourles
  • Publisher : Elsevier
  • Release Date : 2019-10-11
  • ISBN : 9780081023860
DOWNLOAD BOOKFundamentals of Advanced Mathematics V3

Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections,

Fundamentals of Advanced Mathematics 2

Fundamentals of Advanced Mathematics 2
  • Author : Henri Bourles
  • Publisher : Elsevier
  • Release Date : 2018-02-03
  • ISBN : 9780081023853
DOWNLOAD BOOKFundamentals of Advanced Mathematics 2

The three volumes of this series of books, of which this is the second, put forward the mathematical elements that make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. Whereas the first volume focused on the formal conditions for systems of linear equations (in particular of linear differential equations) to have solutions, this book presents the approaches to finding solutions to polynomial equations and to systems of linear differential equations with

Advanced Calculus: Fundamentals of Mathematics

Advanced Calculus: Fundamentals of Mathematics
  • Author : Carlos Polanco
  • Publisher : Bentham Science Publishers
  • Release Date : 2019-07-31
  • ISBN : 9789811415074
DOWNLOAD BOOKAdvanced Calculus: Fundamentals of Mathematics

Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and computer simulations. This textbook covers the fundamental requirements of vector calculus in curricula for college students in mathematics and engineering programs. Chapters start from the basics of vector algebra, real valued functions, different forms of integrals, geometric algebra and the various theorems relevant to vector calculus and differential forms. Readers will find

Fundamentals for Advanced Mathematics

Fundamentals for Advanced Mathematics
  • Author : Abraham M. Glicksman,Harry D. Ruderman
  • Publisher : Unknown
  • Release Date : 1964
  • ISBN : UOM:39015017286165
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Fundamentals of Advanced Mathematics: 3. Structures

Fundamentals of Advanced Mathematics: 3. Structures
  • Author : Henri Bourles
  • Publisher : Unknown
  • Release Date : 2017
  • ISBN : OCLC:966564832
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Fundamentals of Advanced Mathematics

Fundamentals of Advanced Mathematics
  • Author : Miansen Wang,Fred Brauer
  • Publisher : Unknown
  • Release Date : 2005
  • ISBN : 7040154846
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Proofs and Fundamentals

Proofs and Fundamentals
  • Author : Ethan D. Bloch
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-12-01
  • ISBN : 9781461221302
DOWNLOAD BOOKProofs and Fundamentals

The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.

Advanced Mathematics for Engineering Students

Advanced Mathematics for Engineering Students
  • Author : Brent J. Lewis,Nihan Onder,Andrew Prudil
  • Publisher : Butterworth-Heinemann
  • Release Date : 2021-05-20
  • ISBN : 9780128236826
DOWNLOAD BOOKAdvanced Mathematics for Engineering Students

Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author’s university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering – a “toolbox” for the

Fundamentals and Advanced Techniques in Derivatives Hedging

Fundamentals and Advanced Techniques in Derivatives Hedging
  • Author : Bruno Bouchard,Jean-François Chassagneux
  • Publisher : Springer
  • Release Date : 2016-06-23
  • ISBN : 9783319389905
DOWNLOAD BOOKFundamentals and Advanced Techniques in Derivatives Hedging

This book covers the theory of derivatives pricing and hedging as well as techniques used in mathematical finance. The authors use a top-down approach, starting with fundamentals before moving to applications, and present theoretical developments alongside various exercises, providing many examples of practical interest.A large spectrum of concepts and mathematical tools that are usually found in separate monographs are presented here. In addition to the no-arbitrage theory in full generality, this book also explores models and practical hedging and

A Transition to Proof

A Transition to Proof
  • Author : Neil R. Nicholson
  • Publisher : CRC Press
  • Release Date : 2019-03-21
  • ISBN : 9780429535475
DOWNLOAD BOOKA Transition to Proof

A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text

Advanced Calculus

Advanced Calculus
  • Author : Lynn Harold Loomis,Shlomo Sternberg
  • Publisher : World Scientific Publishing Company
  • Release Date : 2014-02-26
  • ISBN : 9789814583954
DOWNLOAD BOOKAdvanced Calculus

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

Fundamentals of University Mathematics

Fundamentals of University Mathematics
  • Author : Colin McGregor,Jonathan Nimmo,Wilson Stothers
  • Publisher : Elsevier
  • Release Date : 2010-10-20
  • ISBN : 9780857092243
DOWNLOAD BOOKFundamentals of University Mathematics

The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics. Expertly revised and updated, the chapters

Fundamentals of Numerical Mathematics for Physicists and Engineers

Fundamentals of Numerical Mathematics for Physicists and Engineers
  • Author : Alvaro Meseguer
  • Publisher : John Wiley & Sons
  • Release Date : 2020-06-30
  • ISBN : 9781119425670
DOWNLOAD BOOKFundamentals of Numerical Mathematics for Physicists and Engineers

Introduces the fundamentals of numerical mathematics and illustrates its applications to a wide variety of disciplines in physics and engineering Applying numerical mathematics to solve scientific problems, this book helps readers understand the mathematical and algorithmic elements that lie beneath numerical and computational methodologies in order to determine the suitability of certain techniques for solving a given problem. It also contains examples related to problems arising in classical mechanics, thermodynamics, electricity, and quantum physics. Fundamentals of Numerical Mathematics for Physicists

Fundamentals of Mathematics \

Fundamentals of Mathematics \
  • Author : Denny Burzynski,Wade Ellis
  • Publisher : Unknown
  • Release Date : 2008
  • ISBN : OCLC:1148175442
DOWNLOAD BOOKFundamentals of Mathematics \