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Basic Concepts in Modern Mathematics

Basic Concepts in Modern Mathematics PDF Author: John Edward Hafstrom
Publisher: Courier Corporation
ISBN: 0486497291
Category : Mathematics
Languages : en
Pages : 209

Book Description
An in-depth overview of some of the most readily applicable essentials of modern mathematics, this concise volume is geared toward undergraduates of all backgrounds as well as future math majors. Topics include the natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.

Basic Concepts in Modern Mathematics

Basic Concepts in Modern Mathematics PDF Author: John Edward Hafstrom
Publisher: Courier Corporation
ISBN: 0486497291
Category : Mathematics
Languages : en
Pages : 209

Book Description
An in-depth overview of some of the most readily applicable essentials of modern mathematics, this concise volume is geared toward undergraduates of all backgrounds as well as future math majors. Topics include the natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.

Fundamentals of Scientific Mathematics

Fundamentals of Scientific Mathematics PDF Author: George E. Owen
Publisher: Courier Corporation
ISBN: 0486164586
Category : Mathematics
Languages : en
Pages : 288

Book Description
Offering undergraduates a solid mathematical background (and functioning equally well for independent study), this rewarding, beautifully illustrated text covers geometry and matrices, vector algebra, analytic geometry, functions, and differential and integral calculus. 1961 edition.

Foundations of Modern Analysis

Foundations of Modern Analysis PDF Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 9780486640624
Category : Mathematics
Languages : en
Pages : 276

Book Description
Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.

Fundamentals of Mathematics

Fundamentals of Mathematics PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 0

Book Description


Fundamentals of Modern Mathematics

Fundamentals of Modern Mathematics PDF Author: Alphonse J. Jackowski
Publisher:
ISBN: 9780133411720
Category : Mathematics
Languages : en
Pages : 420

Book Description


Principles of Mathematics

Principles of Mathematics PDF Author: Vladimir Lepetic
Publisher: John Wiley & Sons
ISBN: 1119131650
Category : Mathematics
Languages : en
Pages : 672

Book Description
Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: Detailed explanations of important theorems and their applications Hundreds of completely solved problems throughout each chapter Numerous exercises at the end of each chapter to encourage further exploration Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences.

Modern Mathematics and Mechanics

Modern Mathematics and Mechanics PDF Author: Victor A. Sadovnichiy
Publisher: Springer
ISBN: 331996755X
Category : Technology & Engineering
Languages : en
Pages : 557

Book Description
In this book international expert authors provide solutions for modern fundamental problems including the complexity of computing of critical points for set-valued mappings, the behaviour of solutions of ordinary differential equations, partial differential equations and difference equations, or the development of an abstract theory of global attractors for multi-valued impulsive dynamical systems. These abstract mathematical approaches are applied to problem-solving in solid mechanics, hydro- and aerodynamics, optimization, decision making theory and control theory. This volume is therefore relevant to mathematicians as well as engineers working at the interface of these fields.

Introduction to Mathematical Thinking

Introduction to Mathematical Thinking PDF Author: Friedrich Waismann
Publisher: Courier Corporation
ISBN: 0486167429
Category : Mathematics
Languages : en
Pages : 272

Book Description
Examinations of arithmetic, geometry, and theory of integers; rational and natural numbers; complete induction; limit and point of accumulation; remarkable curves; complex and hypercomplex numbers; more. Includes 27 figures. 1959 edition.

Fundamentals of Advanced Mathematics 1

Fundamentals of Advanced Mathematics 1 PDF Author: Henri Bourles
Publisher: Elsevier
ISBN: 0081021127
Category : Mathematics
Languages : en
Pages : 268

Book Description
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

Mathematical Physics

Mathematical Physics PDF Author: Sadri Hassani
Publisher: Springer Science & Business Media
ISBN: 9780387985794
Category : Science
Languages : en
Pages : 1052

Book Description
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.