Sign-In
Cart
Introduction to Calculus and Classical Analysis
Paperback
Series: Undergraduate Texts in Mathematics
Currently unavailable to order
Please enter your email and a message will be sent to you when this product becomes available on our website.
ISBN13: 9781461428428
Publisher: Springer
Published: Apr 19 2013
Pages: 364
Weight: 1.16
Height: 0.78 Width: 6.10 Depth: 9.25
Language: English
This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material.
Some features of the text:
- The text is completely self-contained and starts with the real number axioms;
- The integral is defined as the area under the graph, while the area is defined for every subset of the plane;
- There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero;
- There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more;
- Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals;
- There are 385 problems with all the solutions at the back of the text.
Also in
General Mathematics
The Golden Number: Pythagorean Rites and Rhythms in the Development of Western Civilization
Ghyka, Matila C.
Hardcover
How It All Works: All Scientific Laws and Phenomena Illustrated & Demonstrated
Clegg, Brian
Dant, Adam
Hardcover
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Sands, Matthew
Feynman, Richard P.
Leighton, Robert B.
Paperback
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
Math Practice Workbook Grades 6-8: 1000+ Questions You Need to Kill in Middle School by Brain Hunter Prep
Brain Hunter Prep
Paperback
Who Gets What -- And Why: The New Economics of Matchmaking and Market Design
Roth, Alvin E.
Paperback
The Art of Strategy: A Game Theorist's Guide to Success in Business and Life
Nalebuff, Barry J.
Dixit, Avinash K.
Paperback
Tomoko Fuse's Amazing Kusudama Origami: Geometric Paper Art from Japan's Leading Expert!
Fuse, Tomoko
Paperback
Mastering Essential Math Skills Book 2, Bilingual Edition - English/Spanish
Fisher, Richard W.
Paperback
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Hardcover
The Great Math War: How Three Brilliant Minds Fought for the Foundations of Mathematics
Bardi, Jason Socrates
Hardcover
Math Games with Bad Drawings: 75 1/4 Simple, Challenging, Go-Anywhere Games--And Why They Matter
Orlin, Ben
Hardcover
Counting with - Contando Con Frida (Bilingual: English/Spanish): A Bilingual Counting Book
Stein, Ariana
Rodriguez, Patty
Hardcover
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology
Sutton, Daud
Lundy, Miranda
Ashton, Anthony
Hardcover
Graph Paper Composition Notebook: Quad Ruled 5x5, Grid Paper for Students in Math and Science
Wizo, Math
Paperback
50 Math Tricks That Will Change Your Life: Mentally Solve the Impossible in Seconds
Zakowich, Tanya
Paperback
Vector: A Surprising Story of Space, Time, and Mathematical Transformation
Arianrhod, Robyn
Hardcover
New York Post Fiendish Sudoku: The Official Utterly Addictive Number-Placing Puzzle
Gould, Wayne
Paperback
Touchthinklearn: Numbers: (Board Books for Baby Learners, Touch Feel Books for Children)
Deneux, Xavier
Hardcover
Quantum Mechanics Done Right: The Shortest Path from Novice to Researcher
Freericks, James K.
Hardcover
A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Oakley, Barbara
Paperback
ALEKS Math Placement Test Prep 2026: 1200 Verified Practice Questions with Accurate Answer Keys, Step-by-Step Worked Solutions, and Clear Concept Expl
Reid, Marcus L.
Publishing, Kettford
Paperback
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
Benjamin, Arthur
Shermer, Michael
Paperback
Sudoku for Brain Fitness: 90-Day Challenge to Sharpen the Mind and Strengthen Cognitive Skills
Demyanovich, Julie
Clontz, Steven
Paperback
Un Elefante: Numbers / Números (Bilingual: English/Spanish): A Bilingual Counting Book
Rodriguez, Patty
Stein, Ariana
Hardcover
Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning
Liljedahl, Peter
Paperback
WorkKeys Study Guide and Practice Test Questions: ACT WorkKeys Exam Prep and Review Book with Applied Mathematics, Locating Information, and Reading f
Trivium Exam Prep Team
Paperback
Talentos Ocultos: La Genialidad No Tiene Color. La Fuerza No Tiene Género. El Valor No Tiene Límite.
Shetterly, Margot Lee
Paperback
Concrete Mathematics: A Foundation for Computer Science
Knuth, Donald
Graham, Ronald
Patashnik, Oren
Hardcover
180 Days(r) Math for First Grade: Practice, Assess, Diagnose
Smith, Jodene
Smith, Jodene Lynn
Paperback
Number Systems and the Foundations of Analysis
Dudley, Underwood
Mathematics
Mendelson, Elliott
Paperback
The Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
Schneider, Michael S.
Paperback
Medical Dosage Calculations for Dummies
Schoenborn, Barry
Snyder, Richard W.
Depuente, Vanessa
Paperback
300 Math CrossWords: Addition, Subtraction, Multiplication, and Division Math CrossWords Grade 3 and Above, Age +8
Martin, Josh Ortiz
Paperback
Reaching for the Extreme: How the Quest for the Biggest, Fewest, and Weirdest Makes Math
Stewart, Ian
Hardcover
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Warren, Peggy
Wright, Susan
Expolog
Other
Sciencia: Mathematics, Physics, Chemistry, Biology, and Astronomy for All
Tweed, Matt
Watkins, Matthew
Betts, Moff
Hardcover
30 More Math Mysteries Kids Can't Resist!: Quick & Clever Mysteries That Boost Problem-Solving Skills
Lee, Martin
Paperback
Machine Learning with PyTorch and Scikit-Learn: Develop machine learning and deep learning models with Python
Raschka, Sebastian
Liu, Yuxi (Hayden)
Mirjalili, Vahid
Paperback