Ordinary Differential Equations (Graduate Texts in Mathematics)

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9780387984599: Ordinary Differential Equations (Graduate Texts in Mathematics)
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Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to mathematical biology are included and solutions of selected exercises are found at the end of the book. It is suitable for mathematics, physics, and computer science graduate students to be used as collateral reading and as a reference source for mathematicians. Readers should have a sound knowledge of infinitesimal calculus and be familiar with basic notions from linear algebra; functional analysis is developed in the text when needed.

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Walter, Wolfgang
Published by Secaucus, New Jersey, U.S.A.: Springer Verlag (1998)
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Book Description Secaucus, New Jersey, U.S.A.: Springer Verlag, 1998. Soft cover. Condition: New. Dust Jacket Condition: New. 1st Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-10870976939

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Walter, Wolfgang
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Book Description Secaucus, New Jersey, U.S.A.: Springer Verlag, 1998. Soft cover. Condition: New. Dust Jacket Condition: New. 1st Edition. Low price guarantee! The book is the brand new international edition textbook with the different ISBN and cover design. The book main content black/white printed in full English as same as the corresponding original US edition. Fast shipments in one to two working days after the orders confirmed. Seller Inventory # ABE-13396776768

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Book Description Secaucus, New Jersey, U.S.A.: Springer Verlag, 1998. Hardcover. Condition: New. Ship out 1-2 business day,Brand new,US edition, Free tracking number usually 2-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia fy. Seller Inventory # ABE-10377398200

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Book Description Springer-Verlag New York Inc., United States, 1998. Hardback. Condition: New. 1998 ed. Language: English. Brand new Book. Based on a translation of the 6th edition of Gewoehnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to mathematical biology are included and solutions of selected exercises are found at the end of the book. It is suitable for mathematics, physics, and computer science graduate students to be used as collateral reading and as a reference source for mathematicians. Readers should have a sound knowledge of infinitesimal calculus and be familiar with basic notions from linear algebra; functional analysis is developed in the text when needed. Seller Inventory # LIB9780387984599

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Book Description Springer-Verlag New York Inc., United States, 1998. Hardback. Condition: New. 1998 ed. Language: English. Brand new Book. Based on a translation of the 6th edition of Gewoehnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to mathematical biology are included and solutions of selected exercises are found at the end of the book. It is suitable for mathematics, physics, and computer science graduate students to be used as collateral reading and as a reference source for mathematicians. Readers should have a sound knowledge of infinitesimal calculus and be familiar with basic notions from linear algebra; functional analysis is developed in the text when needed. Seller Inventory # LIB9780387984599

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R. Thompson (translator), Wolfgang Walter
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Book Description Springer New York 1998-07-01, New York |London, 1998. hardback. Condition: New. Seller Inventory # 9780387984599

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Book Description Condition: New. Publisher/Verlag: Springer, Berlin | Ordinary differential equations develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. New proofs are given which use concepts and methods from functional analysis. Applications from mechanics, physics, and biology are included, and exercises, which range from routine to demanding, are dispersed throughout the text. Solutions for selected exercises are included at the end of the book. All required material from functional analysis is developed in the book and is accessible to students with a sound knowledge of calculus and familiarity with notions from linear algebra. | I. First Order Equations: Some Integrable Cases.-1. Explicit First Order Equations.-2. The Linear Differential Equation. Related Equations.- Supplement: The Generalized Logistic Equation.-3. Differential Equations for Families of Curves. Exact Equations.-4. Implicit First Order Differential Equations.- II: Theory of First Order Differential Equations.-5. Tools from Functional Analysis.-6. An Existence and Uniqueness Theorem.- Supplement: Singular Initial Value Problems.-7. The Peano Existence Theorem.- Supplement: Methods of Functional Analysis.-8. Complex Differential Equations. Power Series Expansions.-9. Upper and Lower Solutions. Maximal and Minimal Integrals.- Supplement: The Separatrix.- III: First Order Systems. Equations of Higher Order.-10. The Initial Value Problem for a System of First Order.- Supplement I: Differential Inequalities and Invariance.- Supplement II: Differential Equations in the Sense of Carathéodory.-11. Initial Value Problems for Equations of Higher Order.- Supplement: Second Order Differential Inequalities.-12. Continuous Dependence of Solutions.- Supplement: General Uniqueness and Dependence Theorems.-13. Dependence of Solutions on Initial Values and Parameters.- IV: Linear Differential Equations.-14. Linear Systems.-15. Homogeneous Linear Systems.-16. Inhomogeneous Systems.- Supplement:L1-Estimation of C-Solutions.-17. Systems with Constant Coefficients.-18. Matrix Functions. Inhomogeneous Systems.- Supplement: Floquet Theory.-19. Linear Differential Equations of Order n.-20. Linear Equations of Order nwith Constant Coefficients.- Supplement: Linear Differential Equations with Periodic Coefficients.- V: Complex Linear Systems.-21. Homogeneous Linear Systems in the Regular Case.-22. Isolated Singularities.-23. Weakly Singular Points. Equations of Fuchsian Type.-24. Series Expansion of Solutions.-25. Second Order Linear Equations.- VI: Boundary Value and Eigenvalue Problems.-26. Boundary Value Problems.- Supplement I: Maximum and Minimum Principles.- Supplement II: Nonlinear Boundary Value Problems.-27. The Sturm-Liouville Eigenvalue Problem.- Supplement: Rotation-Symmetric Elliptic Problems.-28. Compact Self-Adjoint Operators in Hilbert Space.- VII: Stability and Asymptotic Behavior.-29. Stability.-30. The Method of Lyapunov.- A. Topology.- B. Real Analysis.- C. C0111plex Analysis.- D. Functional Analysis.- Solutions and Hints for Selected Exercises.- Literature.- Notation. | Format: Hardback | Language/Sprache: english | 706 gr | 384 pp. Seller Inventory # K9780387984599

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