This book goes nicely with his lecture series on youtube, which is again brilliant. An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. This rigorous twopart treatment advances from functions of one variable to those of several. References for multivariable calculus mathematics stack exchange. You should try the 2 calculus books by tom apostol calculus, vol. With multivariable calculus, seventh edition, stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. Albert schueller, barry balof, and mike wills have contributed additional material. Suggestions for a rigorous multivariate calculus book physics. Stewart was the author of a bestselling calculus textbook series published by cengage, including calculus, calculus.
This is a textbook for a rigorous multivariable analysis course. There is an extensive treatment of extrema, including constrained extrema and lagrange multipliers, covering both first. This short but rigorous book approaches the main ideas of linear algebra through carefully selected examples and relevant applications. Alternatively, you could learn basic calculus from any less rigorous book and then begin to study real analysis to really understand the theory behind calculus. A modern approach to classical theorems of advanced calculus 1965 by michael spivak is a brief, rigorous, and modern textbook of multivariable calculus, differential forms. Multivariable analysis mathematical association of america. The purpose of this text is to provide a rigorous treatment of vector calculus, for interested second year undergraduates. There are many great books that cover multivariable calculusanalysis, but im not. Derivatives and integrals of multivariable functions. Students with an interest in rigor benefit from placing the study of. The books aim is to use multivariable calculus to teach mathematics as a blend. Intermediate versions can be proved, but in view of the preceding. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. Great calculus reference texts for students who want to.
Suggestions for a rigorous multivariate calculus book. Granted, id skip some parts he gets kinda crazy with the implicit function theorem and bounds in chapter 2, but overall its a fantastic book that actually gives you some high level stuff without losing you details. Briggs, 9780321664150, available at book depository with free delivery worldwide. The books covers a lot from basics of mvc to manifold theory and differential forms. I have a solid background in calculus and am currently working through baby rudin. Rigorous text in multivariable calculus and linear algebra. Ive tried to learn calculus many times from many books,ive come to the conclusion that there is no ideal book on this subject. Ive read spivaks book,and greatly enjoyed its problems but i felt unstatisfied by the explanations and the illustration were very poor,and the only chapter on.
What book is good for learning multivariable calculus with a. Concepts and contexts, as well as a series of precalculus texts. The exercises are good, and motivated mainly from physics. Linear algebra, multivariable calculus and manifolds, and. Another classic, known among mathematicians for its thoroughness, rigor, and mathematical elegance. I really want a rigorous book dealing with multivariable calculus and linear algebra. His patient examples and builtin learning aids will help you build your mathematical confidence and achieve your goals in the course. Late transcendentals and multivariable versions are also available. Fractional and multivariable calculus model building and. I really like hubbard and hubbards vector calculus, linear algebra, and differential forms. This textbook presents a rigorous approach to multivariable calculus in the. Teds book on multivariable calculus is absolutely the best ive seen. Pdf james stewart multivariable calculus 7th edition.