Concepts Of Modern Mathematics
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Concepts of Modern Mathematics
Author | : Ian Stewart |
Publsiher | : Courier Corporation |
Total Pages | : 368 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 9780486134956 |
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In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Concepts of Modern Mathematics
Author | : Ian Stewart |
Publsiher | : Courier Corporation |
Total Pages | : 367 |
Release | : 1995-02-01 |
Genre | : Mathematics |
ISBN | : 9780486284248 |
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Presents a humorous look at the concepts of "new math."
Basic Concepts in Modern Mathematics
Author | : John Edward Hafstrom |
Publsiher | : Courier Corporation |
Total Pages | : 209 |
Release | : 2013-01-01 |
Genre | : Mathematics |
ISBN | : 9780486497297 |
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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.
Introduction to Modern Mathematics
Author | : Helena Rasiowa |
Publsiher | : Elsevier |
Total Pages | : 352 |
Release | : 2014-05-12 |
Genre | : Mathematics |
ISBN | : 9781483274720 |
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Introduction to Modern Mathematics focuses on the operations, principles, and methodologies involved in modern mathematics. The monograph first tackles the algebra of sets, natural numbers, and functions. Discussions focus on groups of transformations, composition of functions, an axiomatic approach to natural numbers, intersection of sets, axioms of the algebra of sets, fields of sets, prepositional functions of one variable, and difference of sets. The text then takes a look at generalized unions and intersections of sets, Cartesian products of sets, and equivalence relations. The book ponders on powers of sets, ordered sets, and linearly ordered sets. Topics include isomorphism of linearly ordered sets, dense linear ordering, maximal and minimal elements, quasi-ordering relations, inequalities for cardinal numbers, sets of the power of the continuum, and Cantor's theorem. The manuscript then examines elementary concepts of abstract algebras, functional calculus and its applications in mathematical proofs, and propositional calculus and its applications in mathematical proofs. The publication is a valuable reference for mathematicians and researchers interested in modern mathematics.
Introduction to Mathematical Thinking
Author | : Friedrich Waismann |
Publsiher | : Courier Corporation |
Total Pages | : 272 |
Release | : 2012-08-07 |
Genre | : Mathematics |
ISBN | : 9780486167428 |
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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.
The Nature and Growth of Modern Mathematics
Author | : Edna Ernestine Kramer |
Publsiher | : Princeton University Press |
Total Pages | : 790 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : 0691023727 |
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Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.
Evolution of Mathematical Concepts
Author | : Raymond L. Wilder |
Publsiher | : Courier Corporation |
Total Pages | : 242 |
Release | : 2013-01-01 |
Genre | : Mathematics |
ISBN | : 9780486490618 |
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Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events. Starting with a brief consideration of preliminary notions, this study explores the early evolution of numbers, the evolution of geometry, and the conquest of the infinite as embodied by real numbers. A detailed look at the processes of evolution concludes with an examination of the evolutionary aspects of modern mathematics.
Mathematical Concepts and Methods in Modern Biology
Author | : Raina Robeva,Terrell Hodge |
Publsiher | : Academic Press |
Total Pages | : 372 |
Release | : 2013-02-26 |
Genre | : Mathematics |
ISBN | : 9780124157934 |
Download Mathematical Concepts and Methods in Modern Biology Book in PDF, Epub and Kindle
Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology. Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software. Features self-contained chapters with real biological research examples using freely available computational tools Spans several mathematical techniques at basic to advanced levels Offers broad perspective on the uses of algebraic geometry/polynomial algebra in molecular systems biology