Basic Training in Mathematics

Basic Training in Mathematics Author R. Shankar
ISBN-10 0306450364
Year 1995-04-30
Pages 365
Language en
Publisher Springer Science & Business Media
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Based on the author's course at Yale University, this book teaches all the basic mathematical prerequisites for upper-level science study. "American Journal of Physics" calls it, "substantively solid . . . written in a particularly engaging conversational style . . . richly endowed with well-chosen problems".

Basic Training in Mathematics

Basic Training in Mathematics Author R. Shankar
ISBN-10 0306450356
Year 1995-06-30
Pages 365
Language en
Publisher Springer Science & Business Media
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Are you: Entering a program in the physical sciences? A high school student who has taken most of the offered courses, and looking for a glimpse of college mathematics? Engaged in self-study to hone your mathematical skills? Then R. Shankar's Basic Training in Mathematics: A Fitness Program for Science Students is written for you. Based on the author's course at Yale University, the book addresses the widening gap found by Professor Shankar and his colleagues between the mathematics needed for upper-level science study and the knowledge possessed by incoming students. This superb text organizes the necessary mathematics background into a one-semester course covering such topics as:- A review of calculus- Infinite series- Functions of a complex variable- Vector calculus- Matrices- Linear vector spaces- Differential equationsnbsp; Get in shape for your future science studies with this outstanding text.

Basic Training in Mathematics

Basic Training in Mathematics Author R. Shankar
ISBN-10 9781489967985
Year 2013-12-20
Pages 366
Language en
Publisher Springer
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Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.

The Art of Proof

The Art of Proof Author Matthias Beck
ISBN-10 1441970231
Year 2010-08-17
Pages 182
Language en
Publisher Springer Science & Business Media
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The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions.

Introduction to Mathematics for Life Scientists

Introduction to Mathematics for Life Scientists Author E. Batschelet
ISBN-10 9783642960802
Year 2012-12-06
Pages 495
Language en
Publisher Springer Science & Business Media
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A few decades ago mathematics played a modest role in life sciences. Today, however, a great variety of mathematical methods is applied in biology and medicine. Practically every mathematical procedure that is useful in physics, chemistry, engineering, and economics has also found an important application in the life sciences. The past and present training of life scientists does by no means reflect this development. However, the impact of the fast growing number of applications of mathematical methods makes it indispensable that students in the life sciences are offered a basic training in mathematics, both on the undergraduate and the graduate level. This book is primarily designed as a textbook for an introductory course. Life scientists may also use it as a reference to find mathematical methods suitable to their research problems. Moreover, the book should be appropriate for self-teaching. It will also be a guide for teachers. Numerous references are included to assist the reader in his search for the pertinent literature.

Speed Math for Kids

Speed Math for Kids Author Bill Handley
ISBN-10 0470893974
Year 2010-06-03
Pages 256
Language en
Publisher John Wiley & Sons
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Learn how to easily do quick mental math calculations Speed Math for Kids is your guide to becoming a math genius--even if you have struggled with math in the past. Believe it or not, you have the ability to perform lightning quick calculations that will astonish your friends, family, and teachers. You'll be able to master your multiplication tables in minutes, and learn basic number facts while doing it. While the other kids in class are still writing down the problems, you can be calling out the answers. Speed Math for Kids is all about playing with mathematics. This fun-filled book will teach you: How to multiply and divide large numbers in your head What you can do to make addition and subtraction easy Tricks for understanding fractions and decimals How to quickly check answers every time you make a calculation And much more If you're looking for a foolproof way to do multiplication, division, factoring estimating, and more, Speed Math for Kids is the book for you. With enough practice you'll go straight to the top of the class!

Fundamentals of Physics

Fundamentals of Physics Author R. Shankar
ISBN-10 9780300192209
Year 2014-03-25
Pages 464
Language en
Publisher Yale University Press
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Explains the fundamental concepts of Newtonian mechanics, special relativity, waves, fluids, thermodynamics, and statistical mechanics. Provides an introduction for college-level students of physics, chemistry, and engineering, for AP Physics students, and for general readers interested in advances in the sciences.

Basic Engineering Mathematics

Basic Engineering Mathematics Author John Bird
ISBN-10 9781317937920
Year 2014-03-26
Pages 456
Language en
Publisher Routledge
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Introductory mathematics written specifically for students new to engineering Now in its sixth edition, Basic Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams. John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for introductory level engineering courses. This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae, multiple choice tests, full solutions for all 1,600 further questions contained within the practice exercises, and biographical information on the 25 famous mathematicians and engineers referenced throughout the book. The companion website for this title can be accessed from www.routledge.com/cw/bird

Practical Problems in Mathematics for Heating and Cooling Technicians

Practical Problems in Mathematics for Heating and Cooling Technicians Author Russell DeVore
ISBN-10 9781111541354
Year 2012-02-15
Pages 320
Language en
Publisher Cengage Learning
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Practical Problems for Heating And Cooling Technicians, 6th Edition, provides students with the essential quantitative skills they need for success in the HVAC field. This text presents mathematical theories in concise, easy to understand segments, and reinforces each concept with multiple examples and practice problems from real-world HVAC tasks, including the latest in geothermal systems, and zone heating and cooling. Loaded with helpful visual features and study aids, Practical Problems for Heating And Cooling Technicians, 6th Edition puts key information at the students’ fingertips with critical formula conversion charts, a glossary of updated HVAC-specific terms, and hands-on exercises designed to build confidence and comfort with basic mathematical skills. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Love and Math

Love and Math Author Edward Frenkel
ISBN-10 9780465069958
Year 2013-10-01
Pages 288
Language en
Publisher Hachette UK
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What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren’t even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we’ve never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

Principles of Quantum Mechanics

Principles of Quantum Mechanics Author R. Shankar
ISBN-10 9781475705768
Year 2012-12-06
Pages 676
Language en
Publisher Springer Science & Business Media
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R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

The Geometry of Spacetime

The Geometry of Spacetime Author James J. Callahan
ISBN-10 9781475767360
Year 2013-03-09
Pages 463
Language en
Publisher Springer Science & Business Media
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Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.

Imagine Math 3

Imagine Math 3 Author Michele Emmer
ISBN-10 9783319012315
Year 2015-03-04
Pages 330
Language en
Publisher Springer
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Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. This volume in the series “Imagine Math” casts light on what is new and interesting in the relationships between mathematics, imagination and culture. The book opens by examining the connections between modern and contemporary art and mathematics, including Linda D. Henderson’s contribution. Several further papers are devoted to mathematical models and their influence on modern and contemporary art, including the work of Henry Moore and Hiroshi Sugimoto. Among the many other interesting contributions are an homage to Benoît Mandelbrot with reference to the exhibition held in New York in 2013 and the thoughts of Jean-Pierre Bourguignon on the art and math exhibition at the Fondation Cartier in Paris. An interesting part is dedicated to the connections between math, computer science and theatre with the papers by C. Bardainne and A. Mondot. The topics are treated in a way that is rigorous but captivating, detailed but very evocative. This is an all-embracing look at the world of mathematics and culture.

Basic Mathematical Skills with Geometry

Basic Mathematical Skills with Geometry Author Stefan Baratto
ISBN-10 9780077574031
Year 2013-01-11
Pages
Language en
Publisher McGraw-Hill Higher Education
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Basic Mathematical Skills with Geometry, 9/e, by Baratto, Bergman, and Hutchison is part of the latest offerings in the successful Hutchison Series in Mathematics. The book is designed for a one-semester course in basic math and is appropriate for lecture, learning center, laboratory, and self-paced settings. The ninth edition continues the seriesË hallmark approach of encouraging mastery of mathematics through careful practice. The text provides detailed, straightforward explanations and accessible pedagogy to help students grow their math skills from the ground up. The authors use a three-pronged approach of communication, pattern recognition, and problem solving to present concepts understandably, stimulate critical-thinking skills, and stress reading and communication skills in order to help students become effective problem-solvers. Features such as Tips for Student Success, Check Yourself exercises, and Activities underscore this approach and the underlying philosophy of mastering math through practice. Exercise sets have been significantly expanded and are now better-organized, and applications are now more thoroughly integrated throughout the text. The text is fully-integrated with McGraw-HillËs online learning system, Connect Math Hosted by ALEKS Corp, and is available with ALEKS 360.

The Mathematical Sciences in 2025

The Mathematical Sciences in 2025 Author Committee on the Mathematical Sciences in 2025
ISBN-10 9780309284578
Year 2013-05-13
Pages 205
Language en
Publisher National Academies Press
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The mathematical sciences are part of nearly all aspects of everyday life--the discipline has underpinned such beneficial modern capabilities as Internet search, medical imaging, computer animation, numerical weather predictions, and all types of digital communications. The Mathematical Sciences in 2025 examines the current state of the mathematical sciences and explores the changes needed for the discipline to be in a strong position and able to maximize its contribution to the nation in 2025. It finds the vitality of the discipline excellent and that it contributes in expanding ways to most areas of science and engineering, as well as to the nation as a whole, and recommends that training for future generations of mathematical scientists should be re-assessed in light of the increasingly cross-disciplinary nature of the mathematical sciences. In addition, because of the valuable interplay between ideas and people from all parts of the mathematical sciences, the report emphasizes that universities and the government need to continue to invest in the full spectrum of the mathematical sciences in order for the whole enterprise to continue to flourish long-term.