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Author : Peter D. Lax,Samuel Z. Burstein,Anneli Lax
Publisher : Unknown
Page : 582 pages
File Size : 43,6 Mb
Release : 1972
Category : Calculus
ISBN : UVA:X001473617
Author : Peter D. Lax,Maria Shea Terrell
Publisher : Springer Science & Business Media
Page : 503 pages
File Size : 41,6 Mb
Release : 2013-09-21
Category : Mathematics
ISBN : 9781461479468
Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.
Author : P. Lax,S. Burstein,A. Lax
Publisher : Springer
Page : 513 pages
File Size : 48,8 Mb
Release : 1983-12-21
Category : Mathematics
ISBN : 0387901795
Mathematics is vigorously and brilliantly pursued in our time on a very broad front; yet the authors of this text feel that not enough mathematical talent is devoted to furthering the interaction of mathematics with other sciences and disciplines. This imbalance is harmful to both mathematics and its users; to redress this imbalance is an educational task which must start at the beginning of the college curriculum. No course is more suited for this than the calculus; there students can learn at first hand that mathe matics is the language in which scientific ideas can be precisely formulated, that science is a source of mathematical ideas which profoundly shape the development of mathematics, and last but not least that mathematics can furnish brilliant answers to important scientific problems. Our purpose in writing this text has been to emphasize this relation of calculus to science. We hope to accomplish this by devoting whole connected chapters to single-or several related-scientific topics, letting the reader observe how the notions of calculus are used to formulate the basic laws of science and how the methods of calculus are used to deduce consequences of those basic laws. Thus the student sees calculus at work on worthwhile tasks.
Author : William J. Adams
Publisher : Xlibris Corporation
Page : 566 pages
File Size : 40,7 Mb
Release : 2024-06-06
Category : Mathematics
ISBN : 9781469107295
Author : Steven Roman
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 41,5 Mb
Release : 1996-11-26
Category : Computers
ISBN : 0387947043
This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon's Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.
Author : Peter D. Lax
Publisher : Unknown
Page : 551 pages
File Size : 45,6 Mb
Release : 1972
Category : Electronic
ISBN : OCLC:310814712
Author : R. V. Lynch,Kuller
Publisher : Unknown
Page : 964 pages
File Size : 50,9 Mb
Release : 1973
Category : Electronic
ISBN : 0471009091
Author : Robert Wilson
Publisher : Unknown
Page : 808 pages
File Size : 50,7 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 1461596459
Author : Jesus Martin Vaquero,Michael Carr,Araceli Quieruga-Dios,Daniela Richtarikova
Publisher : Academic Press
Page : 372 pages
File Size : 44,6 Mb
Release : 2020-08-10
Category : Mathematics
ISBN : 9780128172117
Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications. Organized around project-based rather than traditional homework-based learning Reviews basic mathematics and theory while also introducing applications Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering
Author : Edmond C. Tomastik
Publisher : Cengage Learning
Page : 744 pages
File Size : 55,7 Mb
Release : 2004-04-27
Category : Mathematics
ISBN : 0534464963
CALCULUS: APPLICATIONS AND TECHNOLOGY is a modern text that is guided by four basic principles: The Rule of Four, technology, the Way of Archimedes, and an exploratory teaching method. Where appropriate, each topic is presented graphically, numerically, algebraically, and verbally, helping students gain a richer, deeper understanding of the material. A pronounced emphasis in the text on technology, whether graphing calculators or computers, permits instructors to spend more time teaching concepts. Additionally, applications play a central role in the text and are woven into the development of the material. More than 500 referenced exercises and hundreds of data sets contained in the text make this text useful and practical for students. Most importantly, this text lets students investigate and explore calculus on their own, and discover concepts for themselves.
Author : Ransom V. Lynch,Donald R. Ostberg,Robert Garlin Kuller
Publisher : Unknown
Page : 964 pages
File Size : 48,6 Mb
Release : 1973-01-01
Category : Calculus
ISBN : 0536009090
Author : Ransom V. Lynch,Donald R. Ostberg,Robert G. Kuller
Publisher : Unknown
Page : 975 pages
File Size : 54,9 Mb
Release : 2024-06-06
Category : Electronic
ISBN : 0835779726
Author : Mark J. Christensen
Publisher : Elsevier
Page : 241 pages
File Size : 51,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483271088
Computing for Calculus focuses on BASIC as the computer language used for solving calculus problems. This book discusses the input statement for numeric variables, advanced intrinsic functions, numerical estimation of limits, and linear approximations and tangents. The elementary estimation of areas, numerical and string arrays, line drawing algorithms, and bisection and secant method are also elaborated. This text likewise covers the implicit functions and differentiation, upper and lower rectangular estimates, Simpson's rule and parabolic approximation, and interpolating polynomials. Other topics include the Taylor polynomials, estimating the limit of a sequence, infinite series, and level curves and central projection of surfaces. This publication is beneficial to math students and specialists who use computer languages for educational purposes.
Author : Gerard O’Regan
Publisher : Springer Nature
Page : 468 pages
File Size : 55,9 Mb
Release : 2020-01-10
Category : Computers
ISBN : 9783030342098
This illuminating textbook provides a concise review of the core concepts in mathematics essential to computer scientists. Emphasis is placed on the practical computing applications enabled by seemingly abstract mathematical ideas, presented within their historical context. The text spans a broad selection of key topics, ranging from the use of finite field theory to correct code and the role of number theory in cryptography, to the value of graph theory when modelling networks and the importance of formal methods for safety critical systems. This fully updated new edition has been expanded with a more comprehensive treatment of algorithms, logic, automata theory, model checking, software reliability and dependability, algebra, sequences and series, and mathematical induction. Topics and features: includes numerous pedagogical features, such as chapter-opening key topics, chapter introductions and summaries, review questions, and a glossary; describes the historical contributions of such prominent figures as Leibniz, Babbage, Boole, and von Neumann; introduces the fundamental mathematical concepts of sets, relations and functions, along with the basics of number theory, algebra, algorithms, and matrices; explores arithmetic and geometric sequences and series, mathematical induction and recursion, graph theory, computability and decidability, and automata theory; reviews the core issues of coding theory, language theory, software engineering, and software reliability, as well as formal methods and model checking; covers key topics on logic, from ancient Greek contributions to modern applications in AI, and discusses the nature of mathematical proof and theorem proving; presents a short introduction to probability and statistics, complex numbers and quaternions, and calculus. This engaging and easy-to-understand book will appeal to students of computer science wishing for an overview of the mathematics used in computing, and to mathematicians curious about how their subject is applied in the field of computer science. The book will also capture the interest of the motivated general reader.
Author : Staples George Stacey,Schott Rene
Publisher : World Scientific
Page : 428 pages
File Size : 40,7 Mb
Release : 2012-02-23
Category : Mathematics
ISBN : 9781908977571
This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science.Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations.