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Concepts Of Modern Mathematics
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Book Synopsis Concepts of Modern Mathematics by : Ian Stewart
Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Concepts of Modern Mathematics by : Ian Stewart
Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 1995-02-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a humorous look at the concepts of "new math."
Book Synopsis Basic Concepts in Modern Mathematics by : John Edward Hafstrom
Download or read book Basic Concepts in Modern Mathematics written by John Edward Hafstrom and published by Courier Corporation. This book was released on 2013-01-01 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elements of Modern Mathematics by : Kenneth O, May
Download or read book Elements of Modern Mathematics written by Kenneth O, May and published by Dover Publications. This book was released on 2019-11-13 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: An unusually thoughtful and well-constructed introduction to the serious study of mathematics, this book requires no background beyond high school courses in plane geometry and elementary algebra. From that starting point, it is designed to lead readers willing to work through its exercises and problems to the achievement of basic mathematical literacy. The text provides a fundamental orientation in modern mathematics, an essential vocabulary of mathematical terms, and some facility in the use of mathematical concepts and symbols. From there, readers will be equipped to move on to more serious work, and they'll be well on the way to having the tools essential for work in the physical sciences, engineering, and the biological and social sciences. Starting with elementary treatments of algebra, logic, and set theory, the book advances to explorations of plane analytic geometry, relations and functions, numbers, and calculus. Subsequent chapters discuss probability, statistical inference, and abstract mathematical theories. Each section is enhanced with exercises in the text and problems at the end. Answers to the exercises and some of the problems are included at the end of each section.
Book Synopsis Introduction to Modern Mathematics by : Helena Rasiowa
Download or read book Introduction to Modern Mathematics written by Helena Rasiowa and published by Elsevier. This book was released on 2014-05-12 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Concepts and Methods in Modern Biology by : Raina Robeva
Download or read book Mathematical Concepts and Methods in Modern Biology written by Raina Robeva and published by Academic Press. This book was released on 2013-02-26 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis 5 Principles of the Modern Mathematics Classroom by : Gerald Aungst
Download or read book 5 Principles of the Modern Mathematics Classroom written by Gerald Aungst and published by Corwin Press. This book was released on 2015-10-09 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces
Book Synopsis Evolution of Mathematical Concepts by : Raymond L. Wilder
Download or read book Evolution of Mathematical Concepts written by Raymond L. Wilder and published by Courier Corporation. This book was released on 2013-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis What is Mathematics? by : Richard Courant
Download or read book What is Mathematics? written by Richard Courant and published by Oxford University Press, USA. This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.
Book Synopsis Conceptual Mathematics by : F. William Lawvere
Download or read book Conceptual Mathematics written by F. William Lawvere and published by Cambridge University Press. This book was released on 2009-07-30 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists.
Book Synopsis Introduction to Mathematical Thinking by : Friedrich Waismann
Download or read book Introduction to Mathematical Thinking written by Friedrich Waismann and published by Courier Corporation. This book was released on 2012-08-07 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Levels of Infinity by : Hermann Weyl
Download or read book Levels of Infinity written by Hermann Weyl and published by Courier Corporation. This book was released on 2013-09-26 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.
Book Synopsis The Nature and Growth of Modern Mathematics by : Edna Ernestine Kramer
Download or read book The Nature and Growth of Modern Mathematics written by Edna Ernestine Kramer and published by Princeton University Press. This book was released on 1982 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fundamental Concepts of Mathematics by : R. L. Goodstein
Download or read book Fundamental Concepts of Mathematics written by R. L. Goodstein and published by Elsevier. This book was released on 2014-07-14 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people who want to gain a thorough understanding of the fundamental concepts of mathematics will find this book a good reference.
Book Synopsis Elementary Concepts of Topology by : Paul Alexandroff
Download or read book Elementary Concepts of Topology written by Paul Alexandroff and published by Courier Corporation. This book was released on 2012-08-13 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.
Book Synopsis Great Ideas of Modern Mathematics, Their Nature and Use by : Jagjit Singh
Download or read book Great Ideas of Modern Mathematics, Their Nature and Use written by Jagjit Singh and published by Courier Corporation. This book was released on 1959 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: An explanation of the development and structure of the modern mathematics used in contemporary science
Book Synopsis Excursions in Modern Mathematics by : Peter Tannenbaum
Download or read book Excursions in Modern Mathematics written by Peter Tannenbaum and published by Pearson. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Disability and Academic Exclusion interrogates obstacles the disabled have encountered in education, from a historical perspective that begins with the denial of literacy to minorities in the colonial era to the later centuries' subsequent intolerance of writing, orality, and literacy mastered by former slaves, women, and the disabled. The text then questions where we stand today in regards to the university-wide rhetoric on promoting diversity and accommodating disability in the classroom." Amazon.com viewed 6/2/2020.
