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This tried-and-true text from Allyn Washington builds on the author's highly regarded approach to technical math, while enhancing its pedagogy with full-colour figures and boxes that warn students of Common Errors. Appropriate for a two- to three-semester course, Basic Technical Mathematics with Calculus shows how algebra, trigonometry and basic calculus are used on the job. KEY TOPICS: Basic Algebraic Operations;Geometry;Functions and Graphs;Trigonometric Functions;Systems of Linear Equations; Determinants;Factoring and Fractions; Quadratic Functions;Trigonometric Functions of Any Angle;Vectors and Oblique Triangles;Graphs of Trigonometric Functions;Exponents and Radicals;Complex Numbers;Exponents and Logarithmic Functions;Additional Types of Equations and Systems of Equations;Equations of Higher Degree;Matrices; Systems of Linear Equations;Inequalities;Variation;Sequences and The Binomial Theorem;Additional Topics in Trigonometry;Plane Analytic Geometry;Introduction to Statistics;The Derivative; Applications of the Derivative;Integration;Applications of Integration;Differentiation of Transcendental Functions;Methods of Integration;Partial Derivatives and Double Integrals;Expansion of Functions in Series;Differential Equations MARKET: Appropriate for Technical Mathematics courses.
This print textbook is available for students to rent for their classes. The Pearson print rental program provides students with affordable access to learning materials, so they come to class ready to succeed. For courses in technical and pre-engineering technical programs or other programs for which coverage of basic mathematics is required. The best-seller in technical mathematics gets an “Oh, wow!” update The 11th Edition of Basic Technical Mathematics with Calculus is a bold revision of this classic bestseller. The text now sports an engaging full-color design, and new co-author Rich Evans has introduced a wealth of relevant applications and improvements, many based on user feedback. The text is supported by an all-new online graphing calculator manual, accessible at point-of-use via short URLs. The new edition continues to feature a vast number of applications from technical and pre-engineering fields–including computer design, electronics, solar energy, lasers fiber optics, and the environment–and aims to develop your understanding of mathematical methods without simply providing a collection of formulas. The authors start the text by establishing a solid background in algebra and trigonometry, recognizing the importance of these topics for success in solving applied problems. Also available with MyLab Math. MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. The MyLab Math course features hundreds of new algorithmic exercises, tutorial videos, and PowerPoint slides. NOTE: You are purchasing a standalone product; MyLab™ Math does not come packaged with this content. If you would like to purchase both the physical text and MyLab Math, search for: 0134769600 / 9780134769608 Basic Technical Mathematics with Calculus plus MyLab Math with Pearson eText - Title-Specific Access Card Package Package consists of: 013443773X / 9780134437736 Basic Technical Mathematics with Calculus 0134764730 / 9780134764733 MyLab Math with Pearson eText - Standalone Access Card - for Basic Technical Mathematics with Calculus
This text is designed to provide a mathematically rigorous, comprehensive coverage of topics and applications, while still being accessible to students. Calter/Calter focuses on developing students’ critical thinking skills as well as improving their proficiency in a broad range of technical math topics such as algebra, linear equations, functions, and integrals. Using abundant examples and graphics throughout the text, this edition provides several features to help students visualize problems and better understand the concepts. Calter/Calter has been praised for its real-life and engineering-oriented applications. The sixth edition of Technical Mathematics has added back in popular topics including statistics and line graphing in order to provide a comprehensive coverage of topics and applications—everything the technical student may need is included, with the emphasis always on clarity and practical applications. WileyPLUS, an online teaching and learning environment that integrates the entire digital text, will be available with this edition.
Note: If you are purchasing an electronic version, MyMathLab does not come automatically packaged with it. To purchase MyMathLab, please visit www.mymathlab.com or you can purchase a package of the physical text and MyMathLab by searching for ISBN 10: 0133523667 / ISBN 13: 9780133523669. This new edition preserves the author's highly regarded approach to technical math, while enhancing the integration of technology in the text and increasing the problem solving focus. MyMathLab with Knewton adaptive learning provides student with unlimited practice, guided instruction, and video worked examples for every section of the textbook. New exercises add a variety of learning opportunities for students. This edition contains 100 per cent SI units and is now four-colour.
This textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition. It was time to select, make hard choices of material, polish, refine, and fill in where needed. Much has been rewritten to be even cleaner and clearer, new features have been introduced, and some peripheral topics have been removed. The authors continue to provide real-world, technical applications that promote intuitive reader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need to learn mathematics. Computer projects are given when appropriate, including BASIC, spreadsheets, computer algebra systems, and computer-assisted drafting. The graphing calculator has been fully integrated and calculator screens are given to introduce computations. Everything the technical student may need is included, with the emphasis always on clarity and practical applications.
A new edition of a text for students in technical, pre-engineering technology, and other programs requiring coverage of basic mathematics. In 30 chapters the author presents an integrated treatment of mathematical topics (primarily algebra to calculus) which are necessary.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
BROWNIAN MOTION CALCULUS Brownian Motion Calculus presents the basics of Stochastic Calculus with a focus on the valuation of financial derivatives. It is intended as an accessible introduction to the technical literature. The sequence of chapters starts with a description of Brownian motion, the random process which serves as the basic driver of the irregular behaviour of financial quantities. That exposition is based on the easily understood discrete random walk. Thereafter the gains from trading in a random environment are formulated in a discrete-time setting. The continuous-time equivalent requires a new concept, the Itō stochastic integral. Its construction is explained step by step, using the so-called norm of a random process (its magnitude), of which a motivated exposition is given in an Annex. The next topic is Itō’s formula for evaluating stochastic integrals; it is the random process counter part of the well known Taylor formula for functions in ordinary calculus. Many examples are given. These ingredients are then used to formulate some well established models for the evolution of stock prices and interest rates, so-called stochastic differential equations, together with their solution methods. Once all that is in place, two methodologies for option valuation are presented. One uses the concept of a change of probability and the Girsanov transformation, which is at the core of financial mathematics. As this technique is often perceived as a magic trick, particular care has been taken to make the explanation elementary and to show numerous applications. The final chapter discusses how computations can be made more convenient by a suitable choice of the so-called numeraire. A clear distinction has been made between the mathematics that is convenient for a first introduction, and the more rigorous underpinnings which are best studied from the selected technical references. The inclusion of fully worked out exercises makes the book attractive for self study. Standard probability theory and ordinary calculus are the prerequisites. Summary slides for revision and teaching can be found on the book website www.wiley.com/go/brownianmotioncalculus.
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.