Foundations for Advanced Mathematics
Author: Carol Avelsgaard
Publisher: Scott Foresman & Company
Published: 1990
Total Pages: 325
ISBN-13: 9780673381521
DOWNLOAD EBOOK →Author: Carol Avelsgaard
Publisher: Scott Foresman & Company
Published: 1990
Total Pages: 325
ISBN-13: 9780673381521
DOWNLOAD EBOOK →Author: William E. Kline
Publisher:
Published: 1975
Total Pages: 583
ISBN-13: 9780278469198
DOWNLOAD EBOOK →Author: Henri Bourles
Publisher: Elsevier
Published: 2019-10-11
Total Pages: 424
ISBN-13: 0081023863
DOWNLOAD EBOOK →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
Author: Paul Taylor
Publisher: Cambridge University Press
Published: 1999-05-13
Total Pages: 590
ISBN-13: 9780521631075
DOWNLOAD EBOOK →This book is about the basis of mathematical reasoning both in pure mathematics itself (particularly algebra and topology) and in computer science (how and what it means to prove correctness of programs). It contains original material and original developments of standard material, so it is also for professional researchers, but as it deliberately transcends disciplinary boundaries and challenges many established attitudes to the foundations of mathematics, the reader is expected to be open minded about these things.
Author: Martin Perkins
Publisher:
Published: 1982
Total Pages: 580
ISBN-13: 9780713512724
DOWNLOAD EBOOK →Author: Henri Bourles
Publisher: Elsevier
Published: 2017-07-10
Total Pages: 270
ISBN-13: 0081021127
DOWNLOAD EBOOK →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
Author: Dennis Sentilles
Publisher: Courier Corporation
Published: 2013-05-20
Total Pages: 418
ISBN-13: 0486277585
DOWNLOAD EBOOK →This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.
Author: Steven G. Krantz
Publisher: CRC Press
Published: 2012-03-19
Total Pages: 368
ISBN-13: 1439898340
DOWNLOAD EBOOK →For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.
Author: Brent J. Lewis
Publisher: Butterworth-Heinemann
Published: 2021-05-20
Total Pages: 432
ISBN-13: 0128236825
DOWNLOAD EBOOK →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 engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical). Delivers a focused and concise treatment on the underlying theory and direct application of mathematical methods so that the reader has a collection of important mathematical tools that are easily understood and ready for application as a practicing engineer The book material has been derived from class-tested courses presented over many years in applied mathematics for engineering students (all problem sets and exam questions given for the course(s) are included along with a solution manual) Provides fundamental theory for applied mathematics while also introducing the application of commercial software packages as modern tools for engineering application, including: EXCEL (statistical analysis); MAPLE (symbolic and numeric computing environment); and COMSOL (finite element solver for ordinary and partial differential equations)
Author: Ann Xavier
Publisher:
Published: 1993-06-30
Total Pages:
ISBN-13: 9780877202844
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