Fundamentals Of Advanced Mathematics 1

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Fundamentals of Advanced Mathematics 1

Author : Henri Bourles
Publisher : Elsevier
ISBN 13 : 0081021127
Total Pages : 268 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Fundamentals of Advanced Mathematics 1 by : Henri Bourles

Download or read book Fundamentals of Advanced Mathematics 1 written by Henri Bourles and published by Elsevier. This book was released on 2017-07-10 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Fundamentals of Advanced Mathematics

Author : Miansen Wang
Publisher :
ISBN 13 : 9787040154849
Total Pages : 390 pages
Book Rating : 4.1/5 (548 download)

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Book Synopsis Fundamentals of Advanced Mathematics by : Miansen Wang

Download or read book Fundamentals of Advanced Mathematics written by Miansen Wang and published by . This book was released on 2005 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Advanced Mathematics V3

Author : Henri Bourles
Publisher : Elsevier
ISBN 13 : 0081023863
Total Pages : 424 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Fundamentals of Advanced Mathematics V3 by : Henri Bourles

Download or read book Fundamentals of Advanced Mathematics V3 written by Henri Bourles and published by Elsevier. This book was released on 2019-10-11 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and Hamiltonian formulations. This volume is the prerequisite to the analytic and geometric study of nonlinear systems. Includes sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and more Presents an ideal prerequisite resource on the analytic and geometric study of nonlinear systems Provides theory as well as practical information

Fundamentals of Advanced Mathematics 2

Author : Henri Bourles
Publisher : Elsevier
ISBN 13 : 0081023855
Total Pages : 360 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Fundamentals of Advanced Mathematics 2 by : Henri Bourles

Download or read book Fundamentals of Advanced Mathematics 2 written by Henri Bourles and published by Elsevier. This book was released on 2018-02-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 varying coefficients. Fundamentals of Advanced Mathematics, Volume 2: Field Extensions, Topology and Topological Vector Spaces, Functional Spaces, and Sheaves begins with the classical Galois theory and the theory of transcendental field extensions. Next, the differential side of these theories is treated, including the differential Galois theory (Picard-Vessiot theory of systems of linear differential equations with time-varying coefficients) and differentially transcendental field extensions. The treatment of analysis includes topology (using both filters and nets), topological vector spaces (using the notion of disked space, which simplifies the theory of duality), and the radon measure (assuming that the usual theory of measure and integration is known). In addition, the theory of sheaves is developed with application to the theory of distributions and the theory of hyperfunctions (assuming that the usual theory of functions of the complex variable is known). This volume is the prerequisite to the study of linear systems with time-varying coefficients from the point-of-view of algebraic analysis and the algebraic theory of nonlinear systems. Present Galois Theory, transcendental field extensions, and Picard Includes sections on Vessiot theory, differentially transcendental field extensions, topology, topological vector spaces, Radon measure, differential calculus in Banach spaces, sheaves, distributions, hyperfunctions, algebraic analysis, and local analysis of systems of linear differential equations

Foundations of Advanced Mathematics

Author : William E. Kline
Publisher :
ISBN 13 : 9780278469198
Total Pages : 583 pages
Book Rating : 4.4/5 (691 download)

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Book Synopsis Foundations of Advanced Mathematics by : William E. Kline

Download or read book Foundations of Advanced Mathematics written by William E. Kline and published by . This book was released on 1975 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations for Advanced Mathematics

Author : Carol Avelsgaard
Publisher : Scott Foresman & Company
ISBN 13 : 9780673381521
Total Pages : 325 pages
Book Rating : 4.3/5 (815 download)

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Book Synopsis Foundations for Advanced Mathematics by : Carol Avelsgaard

Download or read book Foundations for Advanced Mathematics written by Carol Avelsgaard and published by Scott Foresman & Company. This book was released on 1990 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Advanced Mathematics

Author : Alberto D. Yazon
Publisher : Arcler Press
ISBN 13 : 9781773614045
Total Pages : 0 pages
Book Rating : 4.6/5 (14 download)

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Book Synopsis Fundamentals of Advanced Mathematics by : Alberto D. Yazon

Download or read book Fundamentals of Advanced Mathematics written by Alberto D. Yazon and published by Arcler Press. This book was released on 2019-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Advanced Mathematics explains the basic fundamentals of mathematics by introducing it to the readers. It further goes on to explain algebra and the basic math related to it and elaborate on the number theory and number system. Also discussed in the book are the relations and functions, the use of proportional logic, the graph theory and the mathematical induction and recursion and the various theorems and logics related to it. The book also delves upon the cardinal system. It gives some solved examples and the questions to be practiced in the later halves of the chapters.

Advanced Mathematics 1

Author : Cuthbert W. Celia
Publisher : Palgrave
ISBN 13 : 9780333399835
Total Pages : 388 pages
Book Rating : 4.3/5 (998 download)

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Book Synopsis Advanced Mathematics 1 by : Cuthbert W. Celia

Download or read book Advanced Mathematics 1 written by Cuthbert W. Celia and published by Palgrave. This book was released on 1985-11-11 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals for Advanced Mathematics

Author : Abraham M. Glicksman
Publisher :
ISBN 13 :
Total Pages : 672 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fundamentals for Advanced Mathematics by : Abraham M. Glicksman

Download or read book Fundamentals for Advanced Mathematics written by Abraham M. Glicksman and published by . This book was released on 1964 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theoretical Foundations

Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110814641
Total Pages : 552 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Theoretical Foundations by :

Download or read book Theoretical Foundations written by and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-05-20 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Theoretical Foundations".

A Formal Background to Mathematics

Author : R. E. Edwards
Publisher : Springer Science & Business Media
ISBN 13 : 1461299845
Total Pages : 968 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis A Formal Background to Mathematics by : R. E. Edwards

Download or read book A Formal Background to Mathematics written by R. E. Edwards and published by Springer Science & Business Media. This book was released on 2013-12-18 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: §1 Faced by the questions mentioned in the Preface I was prompted to write this book on the assumption that a typical reader will have certain characteristics. He will presumably be familiar with conventional accounts of certain portions of mathematics and with many so-called mathematical statements, some of which (the theorems) he will know (either because he has himself studied and digested a proof or because he accepts the authority of others) to be true, and others of which he will know (by the same token) to be false. He will nevertheless be conscious of and perturbed by a lack of clarity in his own mind concerning the concepts of proof and truth in mathematics, though he will almost certainly feel that in mathematics these concepts have special meanings broadly similar in outward features to, yet different from, those in everyday life; and also that they are based on criteria different from the experimental ones used in science. He will be aware of statements which are as yet not known to be either true or false (unsolved problems). Quite possibly he will be surprised and dismayed by the possibility that there are statements which are "definite" (in the sense of involving no free variables) and which nevertheless can never (strictly on the basis of an agreed collection of axioms and an agreed concept of proof) be either proved or disproved (refuted).

Foundations for Advanced Mathematics

Author : Ann Xavier
Publisher :
ISBN 13 : 9780877202844
Total Pages : pages
Book Rating : 4.2/5 (28 download)

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Book Synopsis Foundations for Advanced Mathematics by : Ann Xavier

Download or read book Foundations for Advanced Mathematics written by Ann Xavier and published by . This book was released on 1993-06-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proofs and Fundamentals

Author : Ethan D. Bloch
Publisher :
ISBN 13 : 9781461274261
Total Pages : 0 pages
Book Rating : 4.2/5 (742 download)

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Book Synopsis Proofs and Fundamentals by : Ethan D. Bloch

Download or read book Proofs and Fundamentals written by Ethan D. Bloch and published by . This book was released on 2012-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an effort to make advanced mathematics accessible to a wide variety of students, and to give even the most mathematically inclined students a solid basis upon which to build their continuing study of mathematics, there has been a tendency in recent years to introduce students to the forƯ mulation and writing of rigorous mathematical proofs, and to teach topics such as sets, functions, relations and countability, in a "transition" course, rather than in traditional courses such as linear algebra. A transition course functions as a bridge between computational courses such as Calculus, and more theoretical courses such as linear algebra and abstract algebra. This text contains core topics that I believe any transition course should cover, as well as some optional material intended to give the instructor some flexibility in designing a course. The presentation is straightforward and focuses on the essentials, without being too elementary, too excesƯ sively pedagogical, and too full to distractions. Some of features of this text are the following: (1) Symbolic logic and the use of logical notation are kept to a minimum. We discuss only what is absolutely necessary - as is the case in most advanced mathematics courses that are not focused on logic per se

Introduction to Advanced Mathematics: A Guide to Understanding Proofs

Author : Connie M. Campbell
Publisher : Cengage Learning
ISBN 13 : 9780547165387
Total Pages : 144 pages
Book Rating : 4.1/5 (653 download)

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Book Synopsis Introduction to Advanced Mathematics: A Guide to Understanding Proofs by : Connie M. Campbell

Download or read book Introduction to Advanced Mathematics: A Guide to Understanding Proofs written by Connie M. Campbell and published by Cengage Learning. This book was released on 2011-01-01 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a crucial primer on proofs and the language of mathematics. Brief and to the point, it lays out the fundamental ideas of abstract mathematics and proof techniques that students will need to master for other math courses. Campbell presents these concepts in plain English, with a focus on basic terminology and a conversational tone that draws natural parallels between the language of mathematics and the language students communicate in every day. The discussion highlights how symbols and expressions are the building blocks of statements and arguments, the meanings they convey, and why they are meaningful to mathematicians. In-class activities provide opportunities to practice mathematical reasoning in a live setting, and an ample number of homework exercises are included for self-study. This text is appropriate for a course in Foundations of Advanced Mathematics taken by students who've had a semester of calculus, and is designed to be accessible to students with a wide range of mathematical proficiency. It can also be used as a self-study reference, or as a supplement in other math courses where additional proofs practice is needed. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Pure Mathematics for Advanced Level

Author : B. D. Bunday
Publisher : Butterworth-Heinemann
ISBN 13 : 1483106136
Total Pages : 526 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Pure Mathematics for Advanced Level by : B. D. Bunday

Download or read book Pure Mathematics for Advanced Level written by B. D. Bunday and published by Butterworth-Heinemann. This book was released on 2014-05-20 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pure Mathematics for Advanced Level, Second Edition is written to meet the needs of the student studying for the General Certificate of Education at Advanced Level. The text is organized into 22 chapters. Chapters 1-5 cover topics in algebra such as operations with real numbers, the binomial theorem, and the quadratic function and the quadratic equation. The principles, methods and techniques in calculus, trigonometry, and co-ordinate geometry are provided as well. Two new chapters have been added: Numerical Methods and Vectors. Mathematics students will find this book extremely useful.

The Elements of Advanced Mathematics

Author : Steven G. Krantz
Publisher : CRC Press
ISBN 13 : 1351378317
Total Pages : 390 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis The Elements of Advanced Mathematics by : Steven G. Krantz

Download or read book The Elements of Advanced Mathematics written by Steven G. Krantz and published by CRC Press. This book was released on 2017-11-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Advanced Mathematics: Mathematical Methods, Systems and Applications

Author : Zayne Young
Publisher : NY Research Press
ISBN 13 : 9781647254391
Total Pages : 0 pages
Book Rating : 4.2/5 (543 download)

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Book Synopsis Advanced Mathematics: Mathematical Methods, Systems and Applications by : Zayne Young

Download or read book Advanced Mathematics: Mathematical Methods, Systems and Applications written by Zayne Young and published by NY Research Press. This book was released on 2023-09-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of study which focuses on numbers, formulas and associated structures, shapes and the spaces which contained them, and quantities and their changes is known as mathematics. Advanced mathematics is involved in the study of problems which cannot be solved using basic mathematical methods. They require a detailed understanding of the fundamentals of mathematics and advanced mathematical models. The advanced mathematical methods are involved in the study of several topics in linear algebra and multivariate calculus. Some applications of these models are in areas such as statistics, operations research, computer science, econometrics, and mathematical economics. This book outlines the mathematical methods, systems and applications used in advanced mathematics in detail. It consists of the contributions made by scientists and leading experts in advanced mathematics. The book is an essential guide for both academicians and those who wish to pursue this discipline further.