Sign-In
Cart
Linear Vector Spaces and Cartesian Tensors
Hardcover
Technology & EngineeringAlgebraGeneral Mathematics
Please select the version of book you would like to purchase.
ISBN10: 0195112547
ISBN13: 9780195112542
Publisher: Oxford University Press
Published: Sep 25 1997
Pages: 128
Weight: 0.90
Height: 0.52 Width: 6.08 Depth: 9.52
Language: English
ISBN13: 9780195112542
Publisher: Oxford University Press
Published: Sep 25 1997
Pages: 128
Weight: 0.90
Height: 0.52 Width: 6.08 Depth: 9.52
Language: English
Linear Vector Spaces and Cartesian Tensors is primarily concerned with the theory of finite dimensional Euclidian spaces. It makes a careful distinction between real and complex spaces, with an emphasis on real spaces, and focuses on those elements of the theory that are especially important in applications to continuum mechanics. The geometric content of the theory and the distinction between matrices and tensors are emphasized, and absolute- and component-notation are both employed. While the mathematics is rigorous, the style is casual.
Chapter 1 deals with the basic notion of a linear vector space; many examples of such spaces are given, including infinite-dimensional ones. The idea of a linear transformation of a vector space into itself is introduced and explored in Chapter 2. Chapter 3 deals with linear transformations on finite dimensional real Euclidean spaces (i.e., Cartesian tensors), focusing on symmetric tensors, orthogonal tensors, and the interaction of both in the kinetically important polar decomposition theorem. Chapter 4 exploits the ideas introduced in the first three chapters in order to construct the theory of tensors of rank four, which are important in continuum mechanics. Finally, Chapter 5 concentrates on applications of the earlier material to the kinematics of continua, to the notion of isotropic materials, to the concept of scalar invariant functions of tensors, and to linear dynamical systems. Exercises and problems of varying degrees of difficulty are included at the end of each chapter. Two appendices further enhance the text: the first is a short list of mathematical results that students should already be familiar with, and the second contains worked out solutions to almost all of the problems.
Offering many unusual examples and applications, Linear Vector Spaces and Cartesian Tensors serves as an excellent text for advanced undergraduate or first year graduate courses in engineering mathematics and mechanics. Its clear writing style also makes this work useful as a self-study guide.
Offering many unusual examples and applications, Linear Vector Spaces and Cartesian Tensors serves as an excellent text for advanced undergraduate or first year graduate courses in engineering mathematics and mechanics. Its clear writing style also makes this work useful as a self-study guide.
Also in
Technology & Engineering
All Data Are Local: Thinking Critically in a Data-Driven Society
Loukissas, Yanni Alexander
Paperback
$45.00
The Age of Living Machines: How Biology Will Build the Next Technology Revolution
Hockfield, Susan
Paperback
$17.05
Ingenious Patents: Bubble Wrap, Barbed Wire, Bionic Eyes, and Other Pioneering Inventions
Bennett, Jay
Ikenson, Ben
Hardcover
$14.99
The Reverse Centaur's Guide to Life After AI: How to Think about Artificial Intelligence--Before It's Too Late
Doctorow, Cory
Paperback
$16.20
Improvised Munitions Black Book: Complete and Unabridged in One Volume: Complete and Unabridged in One Volume
U S Government
Paperback
$18.99
The Infinity Machine: Demis Hassabis, Deepmind, and the Quest for Superintelligence
Mallaby, Sebastian
Hardcover
$28.80
AI for Good: How Real People Are Using Artificial Intelligence to Fix Things That Matter
Tyrangiel, Josh
Hardcover
$27.55
The Story of Your Life: How Social Media Shapes the Way We Experience Everything
Jezer-Morton, Kathryn
Hardcover
$27.00
Ultimate Guide: Wiring, Updated 10th Edition: Meets Current National Electrical Code Standards
The Editors of Creative Homeowner
Paperback
$23.74
Like, Follow, Subscribe: Influencer Kids and the Cost of a Childhood Online
Latifi, Fortesa
Hardcover
$28.50
Lightning Beneath the Sea: The Race to Wire the World and the Dawn of the Information Age
Tabor, James M.
Hardcover
$28.79
The Agi Chronicles: The Inside Story of the Race to Create an Artificial Superintelligence
Roose, Kevin
Hardcover
$31.35
Basic Butchering of Livestock & Game: Beef, Veal, Pork, Lamb, Poultry, Rabbit, Venison
Mettler, John J.
Paperback
$17.09
No One's Coming: The Rogue Heroes Our Government Turns to When There's Nowhere Else to Turn
Hazzard, Kevin
Hardcover
$28.50
Empire of Ink: The Printers, Rogues, and Radicals Who Invented the American Newspaper
Wright, Alex
Hardcover
$30.60
The Problem with Plastic: How We Can Save Ourselves and Our Planet Before It's Too Late
Mahoney, Adam
Beyond Plastics
Enck, Judith
Hardcover
From $17.99
The Elements of Power: A Story of War, Technology, and the Dirtiest Supply Chain on Earth
Niarchos, Nicolas
Hardcover
$28.80
Midnight in Chernobyl: The Untold Story of the World's Greatest Nuclear Disaster
Higginbotham, Adam
Paperback
From $12.99
You Don't Need a Smartphone: A Practical Guide to Downgrading Your Phone and Upgrading Your Life
Lamm, August
Paperback
$19.95
The Home Blacksmith: Tools, Techniques, and 40 Practical Projects for the Home Blacksmith
Ridgway, Ryan
Paperback
$18.99
Atlas of AI: Power, Politics, and the Planetary Costs of Artificial Intelligence
Crawford, Kate
Paperback
$19.00
City on the Edge: Technology, Politics, and the Fight for the Soul of San Francisco
Weber, Jonathan
Hardcover
$30.40
AI Snake Oil: What Artificial Intelligence Can Do, What It Can't, and How to Tell the Difference
Narayanan, Arvind
Kapoor, Sayash
Paperback
$16.10
Generation Regeneration: Codesigning the Future of Cities Through Regenerative Placemaking
Cho, Tony
Hardcover
$27.50
The Baofeng Radio Revolution: The Beginner Guerrilla's Guide to Break Through the Complexity, Secure Communications, and Prepare for Disaster With Pre
Code Publishing, Morse
Hardcover
$28.49
The New Age of Sexism: How AI and Emerging Technologies Are Reinventing Misogyny
Bates, Laura
Hardcover
$27.54
Meat: How the Next Agricultural Revolution Will Transform Humanity's Favorite Food--And Our Future
Friedrich, Bruce
Hardcover
$28.45
Crisis Engineering: Time-Tested Tools for Turning Chaos Into Clarity
Dickerson, Mikey
Nitze, Marina
Weaver, Matthew
Paperback
$18.99
Inconspicuous Consumption: The Environmental Impact You Don't Know You Have
Schlossberg, Tatiana
Paperback
$18.99
Human + Machine, Updated and Expanded: Reimagining Work in the Age of AI
Wilson, H. James
Daugherty, Paul R.
Hardcover
$30.40
The Trillion Dollar War Machine: How Runaway Military Spending Drives America Into Foreign Wars and Bankrupts Us at Home
Hartung, William D.
Freeman, Ben
Hardcover
$27.00
Artificial Intelligence: A Guide for Thinking Humans (with a New Preface)
Mitchell, Melanie
Paperback
$19.00
Curved Air: A Biography of Sickle Cell Anemia and the Quest to Cure the First Molecular Disease
Davies, Kevin
Hardcover
$26.96
CompTIA Tech+ Certification All-in-One Exam Guide, Third Edition (Exam FC0-U71)
Wempen, Faithe
Paperback
$57.00
The Boy Who Harnessed the Wind: Creating Currents of Electricity and Hope
Kamkwamba, William
Mealer, Bryan
Paperback
$18.04
Bringing Columbia Home: The Untold Story of a Lost Space Shuttle and Her Crew
Leinbach, Michael D.
Ward, Jonathan H.
Paperback
$18.04
Tubes: A Journey to the Center of the Internet with a New Introduction by the Author
Blum, Andrew
Paperback
$18.99
CNC Woodworking for the Absolute Beginner: Winning Tips, Techniques & 5 Skill-Building Projects
Bagnall, Ralph
Paperback
$12.34
Pilot's Handbook of Aeronautical Knowledge: Faa-H-8083-25c
Federal Aviation Administration (FAA)
Hardcover
$47.49
The Ultimate Guide to Rebuilding a Civilization: A Technical Manual for the Post-Collapse Era
Evans, James
Paperback
$19.99
Broken Money: Why Our Financial System is Failing Us and How We Can Make it Better
Alden, Lyn
Paperback
$22.79
AI Projects with Raspberry Pi: High-Performance Artificial Intelligence for Robotics, Security, Home Automation, and Vision
Jepson, Brian
Hattersley, Lucy
Paperback
$21.84
Make: Electronics: Learning by Discovery: A Hands-On Primer for the New Electronics Enthusiast
Platt, Charles
Paperback
$33.24
Disneyland and the Rise of Automation: How Technology Created the Happiest Place on Earth
Betancourt, Roland
Hardcover
$33.25
Cadillac Desert: The American West and Its Disappearing Water, Revised Edition
Reisner, Marc
Paperback
$19.95
The Powerful Primate: How Controlling Energy Enabled Us to Build Civilization
Ennos, Roland
Hardcover
$27.00
Agentic Artificial Intelligence: Harnessing AI Agents to Reinvent Business, Work, and Life
Wirtz, Jochen
Davenport, Thomas H.
Bornet
Paperback
$27.54
AI Snake Oil: What Artificial Intelligence Can Do, What It Can't, and How to Tell the Difference
Kapoor, Sayash
Narayanan, Arvind
Hardcover
$23.70
Drawing Lessons with Da Vinci: An Artist's Guide to Geometry, Anatomy and Proportion
Roig, Gabriel Martín
Paperback
$22.49
Texas DMV Driver's Handbook: Practice for the Texas Permit Test with 350+ Driving Questions and Answers
Prep, Discover
Paperback
$10.35
Bioinspired: How Nature Made Us Modern, Drives Today's Technological Innovation, and Inspires a Future Worth Inventing
Stier, Samuel Cord
Hardcover
$33.25
Kobuk the Destroyer: And Other Tales from the Wild, Unseen World of Test Engineering
Davies, Alex
Hardcover
$26.99
The Fourth Intelligence Revolution: The Future of Espionage and the Battle to Save America
Vinci, Anthony
Hardcover
$29.44
Agentic Artificial Intelligence: Harnessing AI Agents to Reinvent Business, Work, and Life
Bornet, Pascal
Wirtz, Jochen
Davenport, Thomas H.
Hardcover
$32.99
The Mercury 13: The True Story of Thirteen Women and the Dream of Space Flight
Ackmann, Martha
Paperback
$22.00
The Unaccountability Machine: Why Big Systems Make Terrible Decisions--And How the World Lost Its Mind
Davies, Dan
Paperback
$19.00
Feed the People!: Why Industrial Food Is Good and How to Make It Even Better
Rosenberg, Gabriel N.
Dutkiewicz, Jan
Hardcover
$27.00
The Coming Wave: Technology, Power, and the Twenty-First Century's Greatest Dilemma
Suleyman, Mustafa
Hardcover
From $12.99
Longitude: The True Story of a Lone Genius Who Solved the Greatest Scientific Problem of His Time
Sobel, Dava
Paperback
$17.09
Inconspicuous Consumption: The Environmental Impact You Don't Know You Have
Schlossberg, Tatiana
Hardcover
$37.00
Engineering in Plain Sight: An Illustrated Field Guide to the Constructed Environment
Hillhouse, Grady
Hardcover
$37.99
Trapped Under the Sea: One Engineering Marvel, Five Men, and a Disaster Ten Miles Into the Darkness
Swidey, Neil
Paperback
$22.00
The Ultimate Guide to Skinning and Tanning: A Complete Guide to Working with Pelts, Fur, and Leather
Burch, Monte
Paperback
$23.70
What Is Intelligence?: Lessons from AI about Evolution, Computing, and Minds
Aguera Y. Arcas, Blaise
Paperback
$35.10